xref: /petsc/doc/petsc.bib (revision d8a51d2aac522cef49bfbd84fd4cf473dc3fa6ee)
1%
2% This file is formatted by:
3%    bibtool petsc.bib -- expand.macros=on -- print.line.length=100 -- pass.comments=on
4%
5% If the reference uses PETSc, include a field listing components used, e.g.
6%     petsc_uses = {KSP, SNES, TS, TAO},
7%
8% For journal names, write out the full name, do not define abbreviations
9%
10% There are some additional historical comments below which may be of interest,
11% particularly in terms of notes about particularly impactful publications using PETSc.
12%
13
14% LiteralHTML:
15% LiteralHTML:     <H2><center>Research and Publications that make use of PETSc</center></H2>
16% LiteralHTML:
17% LiteralHTML:  <a name="nano"><H3><center>Nano-simulations</center></H3>
18% LiteralHTML:
19@article{veldhuizen1984d,
20  title          = {{D}-stability and {K}aps-{R}entrop-methods},
21  author         = {Veldhuizen, M van},
22  journal        = {Computing},
23  volume         = {32},
24  number         = {3},
25  pages          = {229--237},
26  year           = {1984},
27  publisher      = {Springer}
28}
29
30@article{shampine1982implementation,
31  title          = {Implementation of {R}osenbrock methods},
32  author         = {Shampine, Lawrence F},
33  journal        = {ACM Transactions on Mathematical Software (TOMS)},
34  volume         = {8},
35  number         = {2},
36  pages          = {93--113},
37  year           = {1982},
38  publisher      = {ACM New York, NY, USA}
39}
40
41@book{wanner1996solving,
42  title          = {Solving ordinary differential equations {II}},
43  author         = {Wanner, Gerhard and Hairer, Ernst},
44  volume         = {375},
45  year           = {1996},
46  publisher      = {Springer Berlin Heidelberg New York}
47}
48
49@article{kaps1979generalized,
50  title          = {Generalized {R}unge--{K}utta methods of order four with stepsize control for stiff ordinary differential equations},
51  author         = {Kaps, Peter and Rentrop, Peter},
52  journal        = {Numerische Mathematik},
53  volume         = {33},
54  pages          = {55--68},
55  year           = {1979},
56  publisher      = {Springer}
57}
58
59@book{butcher2016numerical,
60  title          = {Numerical methods for ordinary differential equations},
61  author         = {Butcher, John Charles},
62  year           = {2016},
63  publisher      = {John Wiley \& Sons}
64}
65
66@article{chung1993,
67  author         = {Chung, J. and Hulbert, G. M.},
68  title          = {A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-alpha Method},
69  journal        = {Journal of Applied Mechanics},
70  volume         = {60},
71  number         = {2},
72  pages          = {371-375},
73  year           = {1993},
74  month          = {06},
75  issn           = {0021-8936},
76  doi            = {10.1115/1.2900803},
77  url            = {https://doi.org/10.1115/1.2900803},
78  eprint         = {https://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/60/2/371/5463014/371\_1.pdf},
79}
80
81@article{hosea1996analysis,
82  title          = {Analysis and implementation of {TR-BDF2}},
83  author         = {Hosea, ME and Shampine, LF},
84  journal        = {Applied Numerical Mathematics},
85  volume         = {20},
86  number         = {1-2},
87  pages          = {21--37},
88  year           = {1996},
89  publisher      = {Elsevier}
90}
91
92@article{kennedy2019diagonally,
93  title          = {Diagonally implicit {R}unge--{K}utta methods for stiff {ODE}s},
94  author         = {Kennedy, Christopher A and Carpenter, Mark H},
95  journal        = {Applied Numerical Mathematics},
96  volume         = {146},
97  pages          = {221--244},
98  year           = {2019},
99  publisher      = {Elsevier}
100}
101
102@inproceedings{xu2017adaptive,
103  title          = {Adaptive relaxed {ADMM}: Convergence theory and practical implementation},
104  author         = {Xu, Zheng and Figueiredo, Mario AT and Yuan, Xiaoming and Studer, Christoph and Goldstein, Tom},
105  booktitle      = {Proceedings of the IEEE conference on computer vision and pattern recognition},
106  pages          = {7389--7398},
107  year           = {2017}
108}
109
110@article{hindmarsh1996time,
111  title          = {Time-step limits for stable solutions of the ice-sheet equation},
112  author         = {Hindmarsh, Richard CA and Payne, Antony J},
113  journal        = {Annals of Glaciology},
114  volume         = {23},
115  pages          = {74--85},
116  year           = {1996},
117  publisher      = {Cambridge University Press}
118}
119
120@article{benson2006flexible,
121  title          = {Flexible complementarity solvers for large-scale applications},
122  author         = {Benson, Steven J and Munson, Todd S},
123  journal        = {Optimization Methods and Software},
124  volume         = {21},
125  number         = {1},
126  pages          = {155--168},
127  year           = {2006},
128  publisher      ={Taylor \& Francis}
129}
130
131@article{byrd1994representations,
132  title          = {Representations of quasi-{N}ewton matrices and their use in limited memory methods},
133  author         = {Byrd, Richard H and Nocedal, Jorge and Schnabel, Robert B},
134  journal        = {Mathematical Programming},
135  volume         = {63},
136  number         = {1-3},
137  pages          = {129--156},
138  year           = {1994},
139  publisher      = {Springer}
140}
141
142@article{gilbert1989some,
143  title          = {Some numerical experiments with variable-storage quasi-{N}ewton algorithms},
144  author         = {Gilbert, Jean Charles and Lemar{\'e}chal, Claude},
145  journal        = {Mathematical programming},
146  volume         = {45},
147  number         = {1-3},
148  pages          = {407--435},
149  year           = {1989},
150  publisher      = {Springer}
151}
152
153@inproceedings{dener2019accelerating,
154  title          = {Accelerating limited-memory quasi-{N}ewton convergence for large-scale optimization},
155  author         = {Dener, Alp and Munson, Todd},
156  booktitle      = {Computational Science--ICCS 2019: 19th International Conference, Faro, Portugal, June 12--14, 2019, Proceedings, Part III 19},
157  pages          = {495--507},
158  year           = {2019},
159  organization   = {Springer}
160}
161
162@article{park2021linear,
163  title          = {Linear and nonlinear solvers for simulating multiphase flow within large-scale engineered subsurface systems},
164  author         = {Park, Heeho D and Hammond, Glenn E and Valocchi, Albert J and LaForce, Tara},
165  journal        = {Advances in Water Resources},
166  volume         = {156},
167  pages          = {104029},
168  year           = {2021},
169  publisher      = {Elsevier}
170}
171
172@inproceedings{va1981design,
173  title          = {Design of optimally smoothing multi-stage schemes for the {E}uler equations},
174  author         = {Van Leer, Bram and Tai, Chang-Hsien and Powell, Kenneth},
175  booktitle      = {9th Computational Fluid Dynamics Conference},
176  pages          = {1933},
177  year           = {1981}
178}
179
180@article{pierce1997preconditioned,
181  title          = {Preconditioned multigrid methods for compressible flow calculations on stretched meshes},
182  author         = {Pierce, Niles A and Giles, Michael B},
183  journal        = {Journal of Computational Physics},
184  volume         = {136},
185  number         = {2},
186  pages          = {425--445},
187  year           = {1997},
188  publisher      = {Elsevier}
189}
190
191@article{kong2016highly,
192  title          = {A highly scalable multilevel {S}chwarz method with boundary geometry preserving coarse spaces for {3D} elasticity problems on domains with complex geometry},
193  author         = {Kong, Fande and Cai, Xiao-Chuan},
194  journal        = {SIAM Journal on Scientific Computing},
195  volume         = {38},
196  number         = {2},
197  pages          = {C73--C95},
198  year           = {2016},
199  publisher      = {SIAM}
200}
201
202@inproceedings{gutierrez2017accommodating,
203  title          = {Accommodating thread-level heterogeneity in coupled parallel applications},
204  author         = {Guti{\'e}rrez, Samuel K and Davis, Kei and Arnold, Dorian C and Baker, Randal S and Robey, Robert W and McCormick, Patrick and
205                   Holladay, Daniel and Dahl, Jon A and Zerr, R Joe and Weik, Florian and others},
206  booktitle      = {2017 {IEEE} International Parallel and Distributed Processing Symposium ({IPDPS})},
207  pages          = {469--478},
208  year           = {2017},
209  organization   = {IEEE}
210}
211
212@article{heroux2011bi,
213  title          = {Bi-modal MPI and MPI+ threads computing on scalable multicore systems},
214  author         = {Heroux, Michael A and Brightwell, R and Wolf, Michael M},
215  journal        = {IJHPCA (Submitted)},
216  year           = {2011}
217}
218
219@inproceedings{bozdaug2005parallel,
220  title          = {A parallel distance-2 graph coloring algorithm for distributed memory computers},
221  author         = {Bozda{\u{g}}, Doruk and Catalyurek, Umit and Gebremedhin, Assefaw H and Manne, Fredrik and Boman, Erik G and {\"O}zg{\"u}ner, F{\"u}sun},
222  booktitle      = {International conference on high performance computing and communications},
223  pages          = {796--806},
224  year           = {2005},
225  organization   = {Springer}
226}
227
228@article{dohrmann2009overlapping,
229  title          = {An overlapping {S}chwarz algorithm for almost incompressible elasticity},
230  author         = {Dohrmann, Clark R and Widlund, Olof B},
231  journal        = {SIAM journal on numerical analysis},
232  volume         = {47},
233  number         = {4},
234  pages          = {2897--2923},
235  year           = {2009},
236  publisher      = {SIAM}
237}
238
239@article{dohrmann2008domain,
240  title          = {Domain decomposition for less regular subdomains: Overlapping {S}chwarz in two dimensions},
241  author         = {Dohrmann, Clark R and Klawonn, Axel and Widlund, Olof B},
242  journal        = {SIAM journal on numerical analysis},
243  volume         = {46},
244  number         = {4},
245  pages          = {2153--2168},
246  year           = {2008},
247  publisher      = {SIAM}
248}
249
250@incollection{dohrmann2008family,
251  title          = {A family of energy minimizing coarse spaces for overlapping {S}chwarz preconditioners},
252  author         = {Dohrmann, Clark R and Klawonn, Axel and Widlund, Olof B},
253  booktitle      = {Domain decomposition methods in science and engineering XVII},
254  pages          = {247--254},
255  year           = {2008},
256  publisher      = {Springer}
257}
258
259@book{dohrmann2008extending,
260  title          = {Extending theory for domain decomposition algorithms to irregular subdomains},
261  author         = {Dohrmann, Clark R and Klawonn, Axel and Widlund, Olof B},
262  year           = {2008},
263  publisher      = {Springer}
264}
265
266@article{dryja1994schwarz,
267  title          = {{S}chwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions},
268  author         = {Dryja, Maksymilian and Smith, Barry F and Widlund, Olof B},
269  journal        = {SIAM journal on numerical analysis},
270  volume         = {31},
271  number         = {6},
272  pages          = {1662--1694},
273  year           = {1994},
274  publisher      = {SIAM}
275}
276
277@book{smith1990domain,
278  title          = {Domain decomposition algorithms for the partial differential equations of linear elasticity},
279  author         = {Smith, Barry F},
280  year           = {1990},
281  publisher      = {New York University}
282}
283
284@article{bramble1989construction,
285  title          = {The construction of preconditioners for elliptic problems by substructuring. {IV}},
286  author         = {Bramble, James H and Pasciak, Joseph E and Schatz, Alfred H},
287  journal        = {Mathematics of Computation},
288  volume         = {53},
289  number         = {187},
290  pages          = {1--24},
291  year           = {1989}
292}
293
294@article{kaczmarz1937angenaherte,
295  title          = {Angenaherte auflosung von systemen linearer gleichungen},
296  author         = {Kaczmarz, Stefan},
297  journal        = {Bull. Int. Acad. Pol. Sic. Let., Cl. Sci. Math. Nat.},
298  pages          = {355--357},
299  year           = {1937}
300}
301
302@article{nataf2022recent,
303  title          = {Recent advances in domain decomposition methods for large-scale saddle point problems},
304  author         = {Nataf, Fr{\'e}d{\'e}ric and Tournier, Pierre-Henri},
305  journal        = {Comptes Rendus. M{\'e}canique},
306  volume         = {350},
307  number         = {S1},
308  pages          = {1--15},
309  year           = {2022}
310}
311
312@article{al2022robustpd,
313  title          = {A robust algebraic multilevel domain decomposition preconditioner for sparse symmetric positive definite matrices},
314  author         = {Al Daas, Hussam and Jolivet, Pierre},
315  journal        = {SIAM Journal on Scientific Computing},
316  volume         = {44},
317  number         = {4},
318  pages          = {A2582--A2598},
319  year           = {2022},
320  publisher      = {SIAM}
321}
322
323@article{al2022robust,
324  title          = {A robust algebraic domain decomposition preconditioner for sparse normal equations},
325  author         = {Al Daas, Hussam and Jolivet, Pierre and Scott, Jennifer A},
326  journal        = {SIAM Journal on Scientific Computing},
327  volume         = {44},
328  number         = {3},
329  pages          = {A1047--A1068},
330  year           = {2022},
331  publisher      = {SIAM}
332}
333
334@article{al2021multilevel,
335  title          = {A multilevel {S}chwarz preconditioner based on a hierarchy of robust coarse spaces},
336  author         = {Al Daas, Hussam and Grigori, Laura and Jolivet, Pierre and Tournier, Pierre-Henri},
337  journal        = {SIAM Journal on Scientific Computing},
338  volume         = {43},
339  number         = {3},
340  pages          = {A1907--A1928},
341  year           = {2021},
342  publisher      = {SIAM}
343}
344
345@book{dolean2015introduction,
346  title          = {An introduction to domain decomposition methods: algorithms, theory, and parallel implementation},
347  author         = {Dolean, Victorita and Jolivet, Pierre and Nataf, Fr{\'e}d{\'e}ric},
348  year           = {2015},
349  publisher      = {SIAM}
350}
351
352@article{spillane2011robust,
353  title          = {A robust two-level domain decomposition preconditioner for systems of {PDE}s},
354  author         = {Spillane, Nicole and Dolean, Victorita and Hauret, Patrice and Nataf, Fr{\'e}d{\'e}ric and Pechstein, Clemens and Scheichl, Robert},
355  journal        = {Comptes Rendus Mathematique},
356  volume         = {349},
357  number         = {23-24},
358  pages          = {1255--1259},
359  year           = {2011},
360  publisher      = {Elsevier}
361}
362
363@article{kong2020highly,
364  title          = {A Highly Parallel Multilevel {N}ewton--{K}rylov--{S}chwarz Method with Subspace-Based Coarsening and
365                   Partition-Based Balancing for the Multigroup Neutron Transport Equation on Three-Dimensional Unstructured Meshes},
366  author         = {Kong, Fande and Wang, Yaqi and Gaston, Derek R and Permann, Cody J and Slaughter, Andrew E and Lindsay,
367                   Alexander D and DeHart, Mark D and Martineau, Richard C},
368  journal        = {SIAM Journal on Scientific Computing},
369  volume         = {42},
370  number         = {5},
371  pages          = {C193--C220},
372  year           = {2020},
373  publisher      = {SIAM}
374}
375
376@article{ipsen2001note,
377  title          = {A note on preconditioning nonsymmetric matrices},
378  author         = {Ipsen, Ilse CF},
379  journal        = {SIAM Journal on Scientific Computing},
380  volume         = {23},
381  number         = {3},
382  pages          = {1050--1051},
383  year           = {2001},
384  publisher      = {SIAM}
385}
386
387@article{murphy2000note,
388  title          = {A note on preconditioning for indefinite linear systems},
389  author         = {Murphy, Malcolm F and Golub, Gene H and Wathen, Andrew J},
390  journal        = {SIAM Journal on Scientific Computing},
391  volume         = {21},
392  number         = {6},
393  pages          = {1969--1972},
394  year           = {2000},
395  publisher      = {SIAM}
396}
397
398@article{oliphant1961implicit,
399  title          = {An implicit, numerical method for solving two-dimensional time-dependent diffusion problems},
400  author         = {Oliphant, Thomas A},
401  journal        = {Quarterly of Applied mathematics},
402  volume         = {19},
403  number         = {3},
404  pages          = {221--229},
405  year           = {1961}
406}
407
408@article{dupont1968approximate,
409  title          = {An approximate factorization procedure for solving self-adjoint elliptic difference equations},
410  author         = {Dupont, Todd and Kendall, Richard P and Rachford, Jr, HH},
411  journal        = {SIAM Journal on Numerical Analysis},
412  volume         = {5},
413  number         = {3},
414  pages          = {559--573},
415  year           = {1968},
416  publisher      = {SIAM}
417}
418
419@inproceedings{manteuffel1979shifted,
420  title          = {Shifted incomplete {C}holesky factorization},
421  author         = {Manteuffel, Thomas A},
422  booktitle      = {Sparse Matrix Proceedings 1978},
423  pages          = {41--61},
424  year           = {1979},
425  organization   = {SIAM, Philadelphia, PA}
426}
427
428@incollection{chan1997approximate,
429  title          = {Approximate and incomplete factorizations},
430  author         = {Chan, Tony F and Van Der Vorst, Henk A},
431  booktitle      = {Parallel numerical algorithms},
432  pages          = {167--202},
433  year           = {1997},
434  publisher      = {Springer}
435}
436
437@article{mandel2008multispace,
438  title          = {Multispace and multilevel {BDDC}},
439  author         = {Mandel, Jan and Soused{\'\i}k, Bed{\v{r}}ich and Dohrmann, Clark R},
440  journal        = {Computing},
441  volume         = {83},
442  number         = {2-3},
443  pages          = {55--85},
444  year           = {2008},
445  publisher      = {Springer}
446}
447
448@article{klawonn2006dual,
449  title          = {Dual-primal {FETI} methods for linear elasticity},
450  author         = {Klawonn, Axel and Widlund, Olof B},
451  journal        = {Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences},
452  volume         = {59},
453  number         = {11},
454  pages          = {1523--1572},
455  year           = {2006},
456  publisher      = {Wiley Online Library}
457}
458
459@article{dohrmann2007approximate,
460  title          = {An approximate {BDDC} preconditioner},
461  author         = {Dohrmann, Clark R},
462  journal        = {Numerical Linear Algebra with Applications},
463  volume         = {14},
464  number         = {2},
465  pages          = {149--168},
466  year           = {2007},
467  publisher      = {Wiley Online Library}
468}
469
470@book{dryja1987additive,
471  title          = {An additive variant of the {S}chwarz alternating method for the case of many subregions},
472  author         = {Dryja, Maksymilian and Widlund, Olof},
473  year           = {1987},
474  publisher      = {Ultracomputer Research Laboratory, Univ., Courant Inst. of Mathematical~…}
475}
476
477@article{couturier2016tsirm,
478  title          = {{TSIRM}: A two-stage iteration with least-squares residual minimization algorithm to solve large sparse linear and nonlinear systems},
479  author         = {Couturier, Rapha{\"e}l and Khodja, Lilia Ziane and Guyeux, Christophe},
480  journal        = {Journal of Computational Science},
481  volume         = {17},
482  pages          = {535--546},
483  year           = {2016},
484  publisher      = {Elsevier}
485}
486
487@article{chan1998transpose,
488  title          = {Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems},
489  author         = {Chan, Tony F and De Pillis, Lisette and Van Der Vorst, Henk},
490  journal        = {Numerical Algorithms},
491  volume         = {17},
492  pages          = {51--66},
493  year           = {1998},
494  publisher      = {Springer}
495}
496
497@article{catabriga2006performance,
498  title          = {Performance of {LCD} iterative method in the finite element and finite difference solution of convection--diffusion equations},
499  author         = {Catabriga, L and Valli, AMP and Melotti, BZ and Pessoa, LM and Coutinho, ALGA},
500  journal        = {Communications in numerical methods in engineering},
501  volume         = {22},
502  number         = {6},
503  pages          = {643--656},
504  year           = {2006},
505  publisher      = {Wiley Online Library}
506}
507
508@article{catabriga2004evaluating,
509  title          = {Evaluating the {LCD} algorithm for solving linear systems of equations arising from implicit {SUPG} formulation of compressible flows},
510  author         = {Catabriga, Lucia and Coutinho, Alvaro LGA and Franca, Leopoldo P},
511  journal        = {International Journal for Numerical Methods in Engineering},
512  volume         = {60},
513  number         = {9},
514  pages          = {1513--1534},
515  year           = {2004},
516  publisher      = {Wiley Online Library}
517}
518
519@article{dai2004study,
520  title          = {Study on semi-conjugate direction methods for non-symmetric systems},
521  author         = {Dai, Yu-Hong and Yuan, Jinyun},
522  journal        = {International journal for numerical methods in engineering},
523  volume         = {60},
524  number         = {8},
525  pages          = {1383--1399},
526  year           = {2004},
527  publisher      = {Wiley Online Library}
528}
529
530@article{yuan2004semi,
531  title          = {Semi-conjugate direction methods for real positive definite systems},
532  author         = {Yuan, JY and Golub, Gene H and Plemmons, Robert J and Cecilio, WAG},
533  journal        = {BIT Numerical Mathematics},
534  volume         = {44},
535  pages          = {189--207},
536  year           = {2004},
537  publisher      = {Springer}
538}
539
540@article{ji2017breakdown,
541  title          = {A breakdown-free block conjugate gradient method},
542  author         = {Ji, Hao and Li, Yaohang},
543  journal        = {BIT Numerical Mathematics},
544  volume         = {57},
545  pages          = {379--403},
546  year           = {2017},
547  publisher      = {Springer}
548}
549
550@inproceedings{jolivet2016block,
551  title          = {Block iterative methods and recycling for improved scalability of linear solvers},
552  author         = {Jolivet, Pierre and Tournier, Pierre-Henri},
553  booktitle      = {SC'16: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis},
554  pages          = {190--203},
555  year           = {2016},
556  organization   = {IEEE}
557}
558
559@article{calandra2013modified,
560  title          = {A modified block flexible {GMRES} method with deflation at each iteration for the solution of non-{H}ermitian linear systems with multiple right-hand sides},
561  author         = {Calandra, Henri and Gratton, Serge and Lago, Rafael and Vasseur, Xavier and Carvalho, Luiz Mariano},
562  journal        = {SIAM Journal on Scientific Computing},
563  volume         = {35},
564  number         = {5},
565  pages          = {S345--S367},
566  year           = {2013},
567  publisher      = {SIAM}
568}
569
570@article{o1980block,
571  title          = {The block conjugate gradient algorithm and related methods},
572  author         = {O'Leary, Dianne P},
573  journal        = {Linear algebra and its applications},
574  volume         = {29},
575  pages          = {293--322},
576  year           = {1980},
577  publisher      = {Elsevier}
578}
579
580@article{erhel1996restarted,
581  title          = {Restarted {GMRES} preconditioned by deflation},
582  author         = {Erhel, Jocelyne and Burrage, Kevin and Pohl, Bert},
583  journal        = {Journal of computational and applied mathematics},
584  volume         = {69},
585  number         = {2},
586  pages          = {303--318},
587  year           = {1996},
588  publisher      = {Elsevier}
589}
590
591@article{bai1994newton,
592  title          = {A {N}ewton basis {GMRES} implementation},
593  author         = {Bai, Zhaojun and Hu, Dan and Reichel, Lothar},
594  journal        = {IMA Journal of Numerical Analysis},
595  volume         = {14},
596  number         = {4},
597  pages          = {563--581},
598  year           = {1994},
599  publisher      = {Oxford University Press}
600}
601
602@article{sidje1997alternatives,
603  title          = {Alternatives for parallel Krylov subspace basis computation},
604  author         = {Sidje, Roger B},
605  journal        = {Numerical linear algebra with applications},
606  volume         = {4},
607  number         = {4},
608  pages          = {305--331},
609  year           = {1997},
610  publisher      = {Wiley Online Library}
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1027@Misc{            bueler2020petsc,
1028  title         = {{PETSc} for Partial Differential Equations: Numerical Solutions in {C} and {P}ython},
1029  author        = {Bueler, Ed},
1030  year          = {2020},
1031  publisher     = {SIAM},
1032  petsc_uses    = {KSP}
1033}
1034
1035@TechReport{      petscforgpuexascale,
1036  title         = {Toward Performance-Portable {PETSc} for {GPU}-based Exascale Systems},
1037  author        = {Richard Tran Mills and Mark F. Adams and Satish Balay and Jed Brown and Alp Dener
1038                  and Matthew Knepley and Scott E. Kruger and Hannah~Morgan and Todd Munson and Karl
1039                  Rupp and Barry F. Smith and Stefano Zampini and Hong Zhang and Junchao Zhang},
1040  institution   = {Argonne National Laboratory},
1041  number        = {ANL/MCS-P9401-1020},
1042  note          = {\url{https://arxiv.org/abs/2011.00715}},
1043  year          = {2020},
1044  petsc_uses    = {KSP}
1045}
1046
1047@Article{         mills2021,
1048  title         = {Toward performance-portable {PETS}c for {GPU}-based exascale systems},
1049  journal       = {Parallel Computing},
1050  volume        = {108},
1051  pages         = {102831},
1052  year          = {2021},
1053  issn          = {0167-8191},
1054  doi           = {https://doi.org/10.1016/j.parco.2021.102831},
1055  url           = {https://www.sciencedirect.com/science/article/pii/S016781912100079X},
1056  author        = {Richard Tran Mills and Mark F. Adams and Satish Balay and Jed Brown and Alp Dener
1057                  and Matthew Knepley and Scott E. Kruger and Hannah Morgan and Todd Munson and Karl
1058                  Rupp and Barry F. Smith and Stefano Zampini and Hong Zhang and Junchao Zhang}
1059}
1060
1061@Article{         rupp:2016:pis:2988256.2907944,
1062  author        = {Karl Rupp and Josef Weinbub and Ansgar J\"{u}ngel and Tibor Grasser},
1063  title         = {Pipelined Iterative Solvers with Kernel Fusion for Graphics Processing Units},
1064  journal       = {ACM Trans. Math. Softw.},
1065  issue_date    = {September 2016},
1066  volume        = {43},
1067  number        = {2},
1068  month         = aug,
1069  year          = {2016},
1070  issn          = {0098-3500},
1071  pages         = {11:1--11:27},
1072  articleno     = {11},
1073  numpages      = {27},
1074  doi           = {10.1145/2907944},
1075  acmid         = {2907944},
1076  publisher     = {ACM},
1077  address       = {New York, NY, USA},
1078  keywords      = {BiCGStab method, CUDA, GMRES method, GPU, Iterative solvers, OpenCL, conjugate
1079                  gradient method},
1080  petsc_uses    = {KSP}
1081}
1082
1083@Article{         dalcin2011parallel,
1084  title         = {Parallel distributed computing using python},
1085  author        = {Dalcin, Lisandro D and Paz, Rodrigo R and Kler, Pablo A and Cosimo, Alejandro},
1086  journal       = {Advances in Water Resources},
1087  volume        = {34},
1088  number        = {9},
1089  pages         = {1124--1139},
1090  year          = {2011},
1091  publisher     = {Elsevier},
1092  petsc_uses    = {KSP}
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1094
1095@Article{         mendezpongaortiz2018,
1096  title         = {Diffusive molecular dynamics simulations of lithiation of silicon nanopillars},
1097  author        = {JP Mendez and M Ponga and M Ortiz},
1098  journal       = {Journal of the Mechanics and Physics of Solids},
1099  year          = {2018},
1100  petsc_uses    = {KSP}
1101}
1102
1103@TechReport{      morgan2020evaluation,
1104  title         = {Evaluation of {PETS}c on a Heterogeneous Architecture, the {OLCF} {S}ummit
1105                  System: Part 1: Vector Node Performance},
1106  author        = {Morgan, Hannah Mairs and Mills, Richard Tran and Smith, Barry},
1107  year          = {2020},
1108  institution   = {Argonne National Laboratory},
1109  url           = {https://publications.anl.gov/anlpubs/2020/04/159190.pdf},
1110  petsc_uses    = {KSP}
1111}
1112
1113@TechReport{      pdeconstrainedspectraladjoints,
1114  title         = {PDE constrained optimization, error estimation and control with spectral elements
1115                  using PETSc and TAO},
1116  author        = {Oana Marin and Emil Constantinescu and Barry Smith},
1117  type          = {Preprint},
1118  number        = {ANL/MCS-P9031-1117},
1119  institution   = {ANL},
1120  month         = nov,
1121  year          = {2017},
1122  petsc_uses    = {KSP}
1123}
1124
1125@InProceedings{   asc2013,
1126  author        = {S. Abhyankar and B. F. Smith and E. Constantinescu},
1127  title         = {Evaluation of overlapping restricted additive {S}chwarz preconditioning for
1128                  parallel solution of very large power flow problems},
1129  booktitle     = {HiPCNA-PG’13},
1130  year          = {2013},
1131  petsc_uses    = {KSP}
1132}
1133
1134@InProceedings{   as2013,
1135  author        = {S. Abhyankar and B. F. Smith},
1136  title         = {{PETSc:} An Advanced Math and Computing Framework for Rapidly Developing Parallel
1137                  Smart Grid Applications},
1138  booktitle     = {Proceedings of the IEEE PES General Meeting},
1139  year          = {2013},
1140  petsc_uses    = {KSP}
1141}
1142
1143@TechReport{      tspaper,
1144  title         = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},
1145  author        = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and
1146                  Barry F. Smith},
1147  type          = {Preprint},
1148  number        = {ANL/MCS-P5061-0114},
1149  institution   = {ANL},
1150  month         = jan,
1151  year          = {2014},
1152  petsc_uses    = {KSP}
1153}
1154
1155@TechReport{      abhyankaretal2018,
1156  author        = {Shrirang Abhyankar and Jed Brown and Emil M. Constantinescu and Debojyoti Ghosh
1157                  and Barry F. Smith and Hong Zhang},
1158  title         = {{PETSc/TS}: {A} Modern Scalable {ODE/DAE} Solver Library},
1159  journal       = {arXiv e-preprints},
1160  eprint        = {1806.01437},
1161  archiveprefix = {arXiv},
1162  year          = {2018},
1163  petsc_uses    = {KSP}
1164}
1165
1166@Article{         zhang2021cams,
1167  title         = {Optimal checkpointing for adjoint multistage time-stepping schemes},
1168  author        = {Hong Zhang and Emil M. Constantinescu},
1169  journal       = {arXiv e-preprints},
1170  eprint        = {2202.11890},
1171  archiveprefix = {arXiv},
1172  year          = {2022},
1173  petsc_uses    = {KSP}
1174}
1175
1176@InProceedings{   zhangconstantinescu2021b,
1177  title         = {Revolve-based adjoint checkpointing for multistage time integration},
1178  author        = {Hong Zhang and Emil M. Constantinescu},
1179  booktitle     = {Proceedings of the International Conference on Computational Science (ICCS)},
1180  month         = jun,
1181  year          = {2021},
1182  petsc_uses    = {KSP}
1183}
1184
1185@Article{         zhang2022tsadjoint,
1186  author        = {Zhang, Hong and Constantinescu, Emil M. and Smith, Barry F.},
1187  title         = {{PETSc TSAdjoint: A Discrete Adjoint ODE Solver for First-Order and Second-Order
1188                  Sensitivity Analysis}},
1189  journal       = {SIAM Journal on Scientific Computing},
1190  volume        = {44},
1191  number        = {1},
1192  pages         = {C1-C24},
1193  year          = {2022},
1194  doi           = {10.1137/21M140078X},
1195  petsc_uses    = {KSP}
1196}
1197
1198@TechReport{      bb2008,
1199  author        = {Tomasz Blachowicz and Bartlomiej Baron},
1200  title         = {A graphical extension for the Windows version of the Parallel Finite Element
1201                  Micromagnetics Package (MagParExt)},
1202  url           = {http://arxiv.org/abs/0807.2655},
1203  year          = {2008},
1204  petsc_uses    = {KSP}
1205}
1206
1207@Article{         jacvgv2008,
1208  author        = {R. Y. Jaafar and A Asenjo and O Chubykalo-Fesenko and M Vazquez and E M Gonzalez
1209                  and J L Vicent},
1210  title         = {Field induced vortex dynamics in magnetic {Ni} nanotriangles},
1211  journal       = {Nanotechnology},
1212  volume        = {19},
1213  year          = {2008},
1214  doi           = {10.1088/0957-4484/19/28/285717},
1215  petsc_uses    = {KSP}
1216}
1217
1218@Article{         yjdwh2008,
1219  author        = {Lin Yuan and Jianjun Jiang and Gang Du and Zhongyou Wang and Huahui He},
1220  title         = {Micromagnetic Simulation of Magnetic Particles with Surface Anisotropy},
1221  journal       = {Journal of the Magnetics Society of Japan},
1222  volume        = {32},
1223  year          = {2008},
1224  pages         = {50-53},
1225  url           = {http://www.jstage.jst.go.jp/article/msjmag/32/2_1/32_50/_article},
1226  petsc_uses    = {KSP}
1227}
1228
1229@Article{         mtrtrsa2008,
1230  author        = {D. Makarov and S. Tibus and C. T. Rettner and T. Thomson and B. D. Terris and T.
1231                  Schrefl and M. Albrecht},
1232  title         = {Magnetic strip patterns induced by focused ion beam irradiation},
1233  journal       = {J. Appl. Phys.},
1234  volume        = {103},
1235  year          = {2008},
1236  doi           = {10.1063/1.2894587},
1237  petsc_uses    = {KSP}
1238}
1239
1240@InProceedings{   tmrttsa2008,
1241  author        = {S. Tibus and D. Makarov and C. T. Rettner and T. Thomson and B. D. Terris and T.
1242                  Schrefl and M. Albrecht},
1243  title         = {Patterning of magnetic films by focused ion beam irradiation},
1244  booktitle     = {Intermag 2008 paper no. CM-05, submitted to IEEE Trans. Magn.},
1245  year          = {2008},
1246  petsc_uses    = {KSP}
1247}
1248
1249@Article{         yjdbh2007,
1250  author        = {Lin Yuan and Jianju Jiang and Yongjiang di and Shaowei Bie and Huahui He},
1251  title         = {Micromagnetic simulation of the magnetic dispersion angle and effective damping
1252                  factor for the single-phase soft magnetic films},
1253  journal       = {J. Magn. Magn. Mater.},
1254  volume        = {320},
1255  number        = {7},
1256  pages         = {1393-1397},
1257  doi           = {10.1016/j.jmmm.2007.11.025},
1258  petsc_uses    = {KSP}
1259}
1260
1261@Article{         lxky2007,
1262  author        = {DENG Lian-wen and HUANG Xiao-zhong and ZH0U Ke-sheng and YANG},
1263  title         = {Micromagnetic simulation and experimental study on microwave permeability of
1264                  nano-magnetic films},
1265  journal       = {Transactions of Nonferrous Metals Society of China},
1266  year          = {2007},
1267  pages         = {756-759},
1268  url           = {http://www.ysxbcn.com/icnfm2007/part2B/s0756.pdf},
1269  petsc_uses    = {KSP}
1270}
1271
1272@Article{         yjdwh2008a,
1273  author        = {Lin Yuan and Jianjun Jiang and Gang Du and Zhongyou Wang and Huahui He},
1274  title         = {Micromagnetic Simulation of Magnetic Particles with Surface Anisotropy},
1275  journal       = {Journal of the Magnetics Society of Japan},
1276  volume        = {32},
1277  year          = {2008},
1278  pages         = {50-53},
1279  doi           = {10.3379/msjmag.32.50},
1280  petsc_uses    = {KSP}
1281}
1282
1283@Article{         lylw2007,
1284  author        = {Ching-Ming Lee and L. X. Ye and J. M. Lee and Te-Ho Wu},
1285  title         = {Micromagnetic study of magnetization reversal in patterned {DyFeCo} thin films},
1286  journal       = {Phys. Stat. Sol.},
1287  volume        = {204},
1288  number        = {12},
1289  pages         = {4049-4052},
1290  year          = {2007},
1291  doi           = {10.1002/pssa.200777359},
1292  petsc_uses    = {KSP}
1293}
1294
1295@InProceedings{   sg2007,
1296  author        = {Simon Greaves},
1297  title         = {Micromagnetic Simulations of Magnetic Recording Media},
1298  booktitle     = {High Performance Computing on Vector Systems 2007},
1299  doi           = {10.1007/978-3-540-74384-2_17},
1300  petsc_uses    = {KSP}
1301}
1302
1303@Article{         bsc2007,
1304  author        = {Nadjib Benatmane and Werner Scholz and T.W. Clinton},
1305  title         = {Magnetic Configurations and Phase Diagrams of sub-100 nm {NiFe} Nanorings},
1306  journal       = {IEEE Trans. Magn.},
1307  volume        = {43},
1308  year          = {2007},
1309  pages         = {2884-2886},
1310  doi           = {10.1109/TMAG.2007.892867},
1311  petsc_uses    = {KSP}
1312}
1313
1314@Article{         ffbf,
1315  author        = {T. Fischbacher and M. Franchin and G. Bordignon and H. Fangohr},
1316  title         = {A Systematic Approach to Multiphysics Extensions of Finite-Element-Based
1317                  Micromagnetic Simulations: Nmag.},
1318  journal       = {IEEE Trans. Magn. Volume},
1319  volume        = {43},
1320  pages         = {2896-2898},
1321  doi           = {10.1109/TMAG.2007.893843},
1322  petsc_uses    = {KSP}
1323}
1324
1325@InBook{          dfssfs2006,
1326  author        = {R. Dittrich and J. Fidler and D. Suess and W. Schol and H. Forster, T. Schrefl},
1327  chapter       = {Computational Aspects of Micromagnetics},
1328  title         = {The Science of Hysteresis},
1329  editor        = { G. Bertotti and I. Mayergoyz},
1330  url           = {http://books.elsevier.com/us/elsevier/us/subindex.asp?maintarget=&isbn=0124808743},
1331  petsc_uses    = {KSP}
1332}
1333
1334@InBook{          fss,
1335  author        = {J. Fidler and T. Schrefl and W. Scholz},
1336  chapter       = {Computational Micromagnetics},
1337  title         = {Handbook of Theoretical and Computational Nanotechnology},
1338  editor        = {M. Rieth and W. Schommers},
1339  url           = {http://www.amazon.com/gp/product/158883042X},
1340  petsc_uses    = {KSP}
1341}
1342
1343@InBook{          shbsef,
1344  author        = {Thomas Schrefl and Gino Hrkac and Simon Bance and Dieter Suess and Otmar Ertl and
1345                  Josef Fidler},
1346  chapter       = {Numerical Methods in Micromagnetics (Finite Element Method)},
1347  title         = {Handbook of Magnetism and Advanced Magnetic Materials},
1348  editor        = {Helmut Kronmueller and Stuart Parkin},
1349  doi           = {10.1002/9780470022184.hmm203},
1350  petsc_uses    = {KSP}
1351}
1352
1353@InBook{          sfs,
1354  author        = {D. Suess and J. Fidler and T. Schrefl},
1355  chapter       = {Micromagnetic Simulation of magnetic materials},
1356  title         = {Handbook of Magnetic Materials},
1357  editor        = {K. H. J. Buschow},
1358  url           = {http://www.amazon.com/gp/product/0444518509},
1359  petsc_uses    = {KSP}
1360}
1361
1362@Article{         fsxzs,
1363  author        = {J. Fernandez-de-Castro and Xiao Shen and Jianhua Xue and Yuming Zhou and S.
1364                  Sharma},
1365  title         = {Writer Flux Closure and Transition Degradation Mechanism in Perpendicular
1366                  Recording.},
1367  journal       = {IEEE Trans. Magn. Volume},
1368  volume        = {43},
1369  pages         = {2175-2177},
1370  doi           = {10.1109/TMAG.2007.893122},
1371  petsc_uses    = {KSP}
1372}
1373
1374@Article{         sb2006,
1375  author        = {W. Scholz and S. Batra},
1376  title         = {Effect of write current waveform on magnetization and head field dynamics of
1377                  perpendicular recording heads},
1378  journal       = {IEEE Trans. Magn.},
1379  volume        = {42},
1380  year          = {2006},
1381  pages         = {2264--2266},
1382  url           = {http://magnet.atp.tuwien.ac.at/scholz/projects/papers/ieee/scholz_2006_42_2264.pdf},
1383  petsc_uses    = {KSP}
1384}
1385
1386@Article{         bsr2006,
1387  author        = {S. Batra and W. Scholz and T. Roscamp},
1388  title         = {Effect of thermal fluctuation field on the noise performance of a perpendicular
1389                  recording system},
1390  journal       = {J. Appl. Phys.},
1391  volume        = {99},
1392  year          = {2006},
1393  url           = {http://magnet.atp.tuwien.ac.at/scholz/projects/papers/jap/batra_2006_99.pdf},
1394  petsc_uses    = {KSP}
1395}
1396
1397@InProceedings{   japios2006,
1398  author        = {F. Johnson and S. Amancherla and G.J. Parker and L.E. Iorio and P.R.
1399                  Subramanian},
1400  title         = {Micromagnetic simulations of the dependence of domain wall width with grain size
1401                  in systems with cubic and uniaxial anisotropy.},
1402  booktitle     = {Intermag 2006 Conference},
1403  petsc_uses    = {KSP}
1404}
1405
1406@Article{         kbmb2006,
1407  author        = {A. Kaya and M. Benakli and M.L. Mallary and J.A. Bain},
1408  title         = {A Micromagnetic Study of the Effect of Spatial Variations in Damping in
1409                  Perpendicular Recording Heads},
1410  journal       = {IEEE Trans. Magn.},
1411  volume        = {42},
1412  year          = {2006},
1413  pages         = {2428--2430},
1414  doi           = {10.1109/TMAG.2006.879430},
1415  petsc_uses    = {KSP}
1416}
1417
1418@Article{         cclcw2006,
1419  author        = {C. C. Chang and Y. C. Chang and C. M. Lee and C. C. Chen and J. Wu},
1420  title         = {Control of Domain Wall Motion in Permalloy Ring},
1421  journal       = {IEEE Trans. Magn.},
1422  volume        = {42},
1423  year          = {2006},
1424  pages         = {2960--2962},
1425  doi           = {10.1109/TMAG.2006.878414},
1426  petsc_uses    = {KSP}
1427}
1428
1429@Article{         bfmfzczg2007,
1430  author        = {Richard P. Boardman and Hans Fangohr and Matthew J. Fairman and J. Zimmermann and
1431                  Simon J. Cox and Alexander A. Zhukov and Peter A.J. de Groot},
1432  title         = {Micromagnetic modelling of ferromagnetic cones},
1433  journal       = {J. Magn. Magn. Mater.},
1434  volume        = {312},
1435  year          = {2007},
1436  pages         = {234-238},
1437  url           = {http://eprints.soton.ac.uk/45900/},
1438  petsc_uses    = {KSP}
1439}
1440
1441@PhDThesis{       rb2005,
1442  author        = {Richard Boardman},
1443  title         = {Computer simulation studies of magnetic nanostructures},
1444  school        = {Computational Engineering and Design Group, School of Engineering Sciences,
1445                  University of Southampton, United Kingdom},
1446  year          = {2005},
1447  url           = {http://www.soton.ac.uk/~rpb/thesis.pdf},
1448  petsc_uses    = {KSP}
1449}
1450
1451@InProceedings{   cwwy2006,
1452  author        = {I-Hsin Chung and Robert E. Walkup and Hui-Fang Wen and Hao Yu},
1453  title         = {MPI Performance Analysis Tools on Blue Gene/L},
1454  booktitle     = {ACM/IEEE SC 2006 Conference (SC'06)},
1455  year          = {2006},
1456  url           = {http://sc06.supercomputing.org/schedule/pdf/pap159.pdf},
1457  petsc_uses    = {KSP}
1458}
1459
1460@InProceedings{   ch2006,
1461  author        = {I.-H. Chung and J.K. Hollingsworth},
1462  title         = {A Case Study Using Automatic Performance Tuning for Large-Scale Scientific
1463                  Programs},
1464  booktitle     = {High Performance Distributed Computing, 2006 15th IEEE International Symposium},
1465  pages         = {45--56},
1466  doi           = {10.1109/HPDC.2006.1652135},
1467  petsc_uses    = {KSP}
1468}
1469
1470@Article{         lkpl2005,
1471  author        = {C. K. Lim and Y. S. Kim and N. Y. Park and J. Lee},
1472  title         = {Multibit {MRAM} using a pair of memory cells},
1473  journal       = {IEEE Trans. Magn.},
1474  volume        = {41},
1475  year          = {2005},
1476  pages         = {2670-2672},
1477  doi           = {10.1109/TMAG.2005.855288},
1478  petsc_uses    = {KSP}
1479}
1480
1481@Article{         gscn2005,
1482  author        = {K. Yu. Guslienko and W. Scholz and R. W. Chantrell and V. Novosad},
1483  title         = {Vortex state oscillations in soft magnetic cylindrical dots},
1484  journal       = {Phys. Rev. B},
1485  volume        = {71},
1486  year          = {2005},
1487  doi           = {10.1103/PhysRevB.71.144407},
1488  petsc_uses    = {KSP}
1489}
1490
1491@PhDThesis{       mda,
1492  author        = {Massimiliano d'Aquino},
1493  title         = {Nonlinear Magnetization Dynamics in Thin-Films and Nanoparticles},
1494  school        = { Universita di Napoli Federico II.},
1495  url           = {http://www.fedoa.unina.it/148/01/d_Aquino_thesis.pdf},
1496  petsc_uses    = {KSP}
1497}
1498
1499@TechReport{      ssdfssf2003,
1500  author        = {T. Schrefl and W. Scholz and R. Dittrich and H. Forster and D. Suess and M.
1501                  Stehno and J. Fidler},
1502  title         = {Micromagnetic Simulations of Domainstructures in Softmagnetic Thin Films},
1503  url           = {http://www.zid.tuwien.ac.at/projekte/2003/03-138-1.html},
1504  petsc_uses    = {KSP}
1505}
1506
1507@InProceedings{   sb2006a,
1508  author        = {W. Scholz and S. Batra},
1509  title         = {Effect of write current waveform on magnetization and head field dynamics of
1510                  perpendicular recording heads},
1511  booktitle     = {Intermag 2006 Conference, San Diego, CA, paper no. EF-03},
1512  petsc_uses    = {KSP}
1513}
1514
1515@Article{         scholz-batra1,
1516  author        = {W. Scholz and S. Batra},
1517  title         = {Micromagnetic Simulation of Head Field and Write Bubble Dynamics in Perpendicular
1518                  Recording},
1519  journal       = {IEEE Trans. Magn.},
1520  note          = {submitted},
1521  year          = {2005},
1522  petsc_uses    = {KSP}
1523}
1524
1525@Article{         scholz-batra2,
1526  author        = {W. Scholz and S. Batra},
1527  title         = {Micromagnetic Modeling of Head Field Rise Time for High Data-Rate Recording},
1528  journal       = {IEEE Trans. Magn.},
1529  volume        = {41},
1530  year          = {2005},
1531  pages         = {702-706},
1532  petsc_uses    = {KSP}
1533}
1534
1535@Article{         daquino-scholz1,
1536  author        = {M. d'Aquino and W. Scholz and T. Schrefl and C. Serpico and J. Fidler},
1537  title         = {Micromagnetic Analysis of Fast Precessional Switching},
1538  journal       = {J. Magn. Magn. Mater.},
1539  volume        = {290-291},
1540  year          = {2005},
1541  pages         = {510-513},
1542  petsc_uses    = {KSP}
1543}
1544
1545@Article{         aq-scholz-fid,
1546  author        = {M. d'Aquino and W. Scholz and T. Schrefl and C. Serpico and J. Fidler},
1547  title         = {Numerical and analytical study of fast precessional switching},
1548  journal       = {J. Appl. Phys.},
1549  volume        = {95},
1550  year          = {2004},
1551  pages         = {7055-7057},
1552  petsc_uses    = {KSP}
1553}
1554
1555@InProceedings{   gar-tabik-gar,
1556  author        = {E. M. Garzon and S. Tabik and I. Garcia and A. R. Bretones},
1557  title         = {Multiprocessing of the Time Domain Analysis of Thin-Wire Antennas and
1558                  Scatterers},
1559  booktitle     = {12th Euromicro Conference on Parallel, Distributed and Network-Based Processing
1560                  (PDP'04)},
1561  year          = {2004},
1562  pages         = {80--},
1563  petsc_uses    = {KSP}
1564}
1565
1566@InProceedings{   aq-scholz-mia,
1567  author        = {M. d'Aquino and W. Scholz and T. Schrefl and C. Serpico and G. Miano},
1568  title         = {Analysis of fast precessional switching in magnetic thin films},
1569  booktitle     = {Proceedings of PIERS (Progress In Electromagnetic Research Symposium)},
1570  year          = {2004},
1571  pages         = {257-260},
1572  petsc_uses    = {KSP}
1573}
1574
1575@Article{         scholz-fid-seus,
1576  author        = {W. Scholz and J. Fidler and T. Schrefl and D. Suess and H. Forster and R.
1577                  Dittrich and V. Tsiantos},
1578  title         = {Numerical Micromagnetic Simulation of Fe-Pt Nanoparticles with Multiple Easy
1579                  Axes},
1580  journal       = {J. Magn. Magn. Mater.},
1581  year          = {2004},
1582  pages         = {1524-1525},
1583  petsc_uses    = {KSP}
1584}
1585
1586@Article{         boardman-zimmerman,
1587  author        = {Richard Boardman and Juergen Zimmermann and Hans Fangohr and Alexander Zhukov and
1588                  Peter de Groot},
1589  title         = {Micromagnetic simulation studies of ferromagnetic part-spheres},
1590  journal       = {Journal of Applied Physics},
1591  year          = {2005},
1592  petsc_uses    = {KSP}
1593}
1594
1595@Article{         lim-kim-park,
1596  author        = {C. K. Lim and Y. S. Kim and N. Y. Park and J. Lee},
1597  title         = {High Density Magnetic Random Access Memory Using a Pair of Asymmetrical Cell},
1598  journal       = {IEEE Trans. Magn.},
1599  note          = {submitted},
1600  petsc_uses    = {KSP}
1601}
1602
1603@Article{         scholz-suess2,
1604  author        = {W. Scholz and D. Suess and T. Schrefl and J. Fidler},
1605  title         = {Micromagnetic simulation of magnetization reversal in small particles with
1606                  surface anisotropy},
1607  journal       = {J. Appl. Phys.},
1608  volume        = {95},
1609  year          = {2004},
1610  pages         = {6807-6809},
1611  petsc_uses    = {KSP}
1612}
1613
1614@Article{         scholz-schrefl1,
1615  author        = {W. Scholz and T. Schrefl and J. Fidler and T. Matthias and D. Suess and V.
1616                  Tsiantos},
1617  title         = {Micromagnetic simulation of the pinning and depinning process in permanent
1618                  magnets},
1619  journal       = {IEEE Trans. Magn.},
1620  volume        = {39},
1621  year          = {2003},
1622  pages         = {2920-2922},
1623  petsc_uses    = {KSP}
1624}
1625
1626@Article{         scholz-guslienko,
1627  author        = {W. Scholz and K. Y. Guslienko and V. Novosad and D. Suess and T. Schrefl and R.
1628                  W. Chantrell and J. Fidler},
1629  title         = {Transition from single-domain to vortex state in soft magnetic cylindrical
1630                  nanodots},
1631  journal       = {J. Magn. Magn. Mater.},
1632  volume        = {266},
1633  year          = {2003},
1634  pages         = {155-163},
1635  petsc_uses    = {KSP}
1636}
1637
1638@Article{         scholz1,
1639  author        = { W. Scholz and J. Fidler and T. Schrefl and D. Suess and R. Dittrich and H.
1640                  Forster and V. Tsiantos},
1641  title         = {Scalable Parallel Micromagnetic Solvers for Magnetic Nanostructures},
1642  journal       = {Comp. Mat. Sci},
1643  year          = {2003},
1644  pages         = {366--383},
1645  volume        = {28},
1646  url           = {http://magnet.atp.tuwien.ac.at/scholz/projects/papers/preprint/scholz/cms03/magpar.pdf},
1647  petsc_uses    = {KSP}
1648}
1649
1650@PhDThesis{       scholz2,
1651  author        = {W. Scholz},
1652  title         = {Scalable Parallel Micromagnetic Solvers for Magnetic Nanostructures},
1653  school        = {Vienna University of Technology, Vienna, Austria},
1654  year          = {2003},
1655  petsc_uses    = {KSP}
1656}
1657
1658@Article{         scholz3,
1659  author        = {W. Scholz and D. Suess and R. Dittrich and T. Schrefl and V. Tsiantos and H.
1660                  Forster and J. Fidler},
1661  title         = {Implementation of a high performance parallel finite element micromagnetics
1662                  package},
1663  journal       = {J. Magn. Magn. Mater.},
1664  year          = {2004},
1665  url           = {http://magnet.atp.tuwien.ac.at/scholz/projects/papers/preprint/scholz/icm2003/scholz_petsc.pdf},
1666  petsc_uses    = {KSP}
1667}
1668
1669% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
1670@InBook{          zhanggladwell1,
1671  author        = {W. Zhang and I. Gladwell},
1672  chapter       = {Performance of MOL for Surface Motion Driven by a Laplacian of Curvature},
1673  editor        = {Z. Chen and R.E. Ewing and Z.-C. Shi},
1674  year          = {2000},
1675  title         = {Numerical Treatment of Multiphase Flows in Porous Media, Lecture Notes in
1676                  Physics, vol. 552},
1677  publisher     = {Springer},
1678  pages         = {4190-},
1679  petsc_uses    = {KSP}
1680}
1681
1682@Article{         wolf1,
1683  author        = {A. J. Haslan and D. Moldovan and S. R. Phillpot and V. Yamakov},
1684  title         = {Combined Atomistic and Mesoscale simulation of grain growth in nanocrystalline
1685                  thin films},
1686  journal       = {Phil. Mag. A},
1687  year          = {2003},
1688  lab           = {ANL},
1689  petsc_uses    = {KSP}
1690}
1691
1692@Article{         wolf2,
1693  author        = {A. J. Haslan and D. Moldovan and S. R. Phillpot and H. Gleiter},
1694  title         = {Mesoscopic simulation of two dimensional grain growth with anisotropic
1695                  grain-boundary properties},
1696  journal       = {Computational Materials Science},
1697  year          = {2001},
1698  volume        = {23},
1699  pages         = {15--32},
1700  lab           = {ANL},
1701  petsc_uses    = {KSP}
1702}
1703
1704@Article{         wolf3,
1705  author        = {D. Moldovan and S. R. Phillpot and A. J. Haslan},
1706  title         = {Role of grain rotation in grain growth by mesoscale simulation},
1707  journal       = {Phil. Mag. A},
1708  year          = {2002},
1709  volume        = {82},
1710  pages         = {1271--1297},
1711  lab           = {ANL},
1712  petsc_uses    = {KSP}
1713}
1714
1715% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
1716@Article{         saut,
1717  author        = { Olivier Saut},
1718  title         = {Bidimensional Study of the {M}axwell-{B}loch Model in a Nonlinear Crystal},
1719  journal       = {SIAM Journal on Scientific Computing},
1720  year          = {2004},
1721  note          = {submitted},
1722  url           = {http://mip.ups-tlse.fr/\~{ }saut/data/sisc04.pdf},
1723  petsc_uses    = {KSP}
1724}
1725
1726% LiteralHTML:
1727% LiteralHTML:  <a name="biology"><H3><center>Biology -- Medical</center></H3>
1728% LiteralHTML:
1729@InBook{          khanallorenziayachepennec2016,
1730  title         = {Simulating Patient Specific Multiple Time-Point {MRIs} from a Biophysical Model
1731                  of Brain Deformation in {Alzheimer's} Disease},
1732  booktitle     = {Computational Biomechanics for Medicine: Imaging, Modeling and Computing},
1733  author        = {Bishesh Khanal and Marco Lorenzi and Nicholas Ayache and Xavier Pennec},
1734  editor        = {Grand R. Joldes and Barry Doyle and Adam Wittek and Poul M.F. Nielsen and Karol
1735                  Miller},
1736  pages         = {167--176},
1737  isbn          = {978-3-319-28329-6},
1738  doi           = {10.1007/978-3-319-28329-6_15},
1739  publisher     = {Springer International Publishing},
1740  year          = {2016},
1741  petsc_uses    = {KSP}
1742}
1743
1744@Article{         ataseven,
1745  author        = {Y. Ataseven and Z. Akaliota n-Acar and C.~E. Acar and N. G. Gen\c{c}er},
1746  title         = {Parallel implementation of the accelerated {BEM} approach for {EMSI} of the human
1747                  brain},
1748  journal       = {Medical and Biological Engineering and Computing},
1749  month         = feb,
1750  year          = {2008},
1751  doi           = {10.1007/s11517-008-0316-0},
1752  petsc_uses    = {KSP}
1753}
1754
1755@Article{         dennis-eberhart-03,
1756  author        = {B. H. Dennis and R. C. Eberhart and G. S. Dulikravich and S.W. Radons},
1757  pages         = {832-840},
1758  volume        = {125},
1759  number        = {6},
1760  title         = {Finite-element simulation of cooling of realistic {3-D} human head and neck},
1761  journal       = {J Biomech Eng},
1762  year          = {2003},
1763  url           = {http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=14986408&dopt=Citation},
1764  petsc_uses    = {KSP}
1765}
1766
1767@Conference{      gu7174parallel,
1768  title         = {{A parallel reduced-space sequential-quadratic programming algorithm for
1769                  frequency-domain small animal optical tomography}},
1770  author        = {Gu, X. and Kim, H.K. and Masciotti, J. and Hielscher, A.H.},
1771  booktitle     = {Proc. of SPIE Vol},
1772  volume        = {7174},
1773  number        = {717406},
1774  pages         = {1},
1775  petsc_uses    = {KSP}
1776}
1777
1778@Article{         barchanski2005using,
1779  title         = {{Using domain decomposition techniques for the calculation of low-frequency
1780                  electric current densities in high-resolution 3D human anatomy models}},
1781  author        = {Barchanski, A. and Clemens, M. and De Gersem, H. and Steiner, T. and Weiland,
1782                  T.},
1783  journal       = {COMPEL: The International Journal for Computation and Mathematics in Electrical
1784                  and Electronic Engineering},
1785  volume        = {24},
1786  number        = {2},
1787  pages         = {458--467},
1788  issn          = {0332-1649},
1789  year          = {2005},
1790  publisher     = {Emerald Group Publishing Limited},
1791  petsc_uses    = {KSP}
1792}
1793
1794@Article{         motrescurienen05,
1795  author        = {V. C. Motrescu and U. van Rienen},
1796  pages         = {227--231},
1797  volume        = {3},
1798  title         = {Computation of currents induced by {ELF} electric fields in anisotropic human
1799                  tissues using the Finite Integration Technique},
1800  journal       = {Advances in Radio Science},
1801  year          = {2005},
1802  url           = {http://www.copernicus.org/URSI/ars/3/ars-3-227.pdf},
1803  petsc_uses    = {KSP}
1804}
1805
1806@Article{         motrescurienen04,
1807  author        = {V. C. Motrescu and U. van Rienen},
1808  pages         = {309--313},
1809  volume        = {2},
1810  title         = {Computation of electrostatic fields in anisotropic human tissues using the Finite
1811                  Integration Technique (FIT)},
1812  journal       = {Advances in Radio Science},
1813  year          = {2004},
1814  url           = {http://www.copernicus.org/URSI/ars/ARS_2_1/309.pdf},
1815  petsc_uses    = {KSP}
1816}
1817
1818@InProceedings{   dbl2,
1819  author        = {Enzo A. Dari and Mariano I. Cantero and Raul A. Feijoo},
1820  title         = {Computational arterial flow modeling using a parallel {Navier-Stokes} solver},
1821  booktitle     = {ECCOMAS2000},
1822  year          = {2000},
1823  url           = {http://146.134.8.133/Feijoo/CModComplexos/Conferencias/ECCOMAS2000/Darie/eccomas.html},
1824  petsc_uses    = {KSP}
1825}
1826
1827@Unpublished{     cell,
1828  title         = {Parallel Simulation Engines for Whole-Cell Models},
1829  author        = {Markus Schwehm and Nils Gehlenborg and Hendrik Post and Amelie Stein and Kirstin
1830                  Weber},
1831  note          = {Poster at Second International Conference on Systems Biology (ICSB) 2001},
1832  url           = {http://www.icsb-2001.org/Posters/110_schwehm2.pdf},
1833  institution   = {University of Tubingen, ZBIT - Zentrum fur Bioinformatik Tubingen},
1834  year          = {2001},
1835  petsc_uses    = {KSP}
1836}
1837
1838@Article{         barker2010two,
1839  title         = {Two-level {N}ewton and hybrid {S}chwarz preconditioners for fluid-structure
1840                  interaction},
1841  author        = {Barker, A.T. and Cai, X.C.},
1842  journal       = {SIAM Journal on Scientific Computing},
1843  volume        = {32},
1844  number        = {4},
1845  pages         = {2395--2417},
1846  year          = {2010},
1847  publisher     = {Society for Industrial and Applied Mathematics},
1848  petsc_uses    = {KSP}
1849}
1850
1851@Article{         barker2010scalable,
1852  title         = {Scalable parallel methods for monolithic coupling in fluid-structure interaction
1853                  with application to blood flow modeling},
1854  author        = {Barker, A.T. and Cai, X.C.},
1855  journal       = {Journal of Computational Physics},
1856  volume        = {229},
1857  number        = {3},
1858  pages         = {642--659},
1859  year          = {2010},
1860  publisher     = {Elsevier},
1861  petsc_uses    = {KSP}
1862}
1863
1864@Article{         barker2009nks,
1865  title         = {{NKS} for fully coupled fluid-structure interaction with application},
1866  author        = {Barker, A.T. and Cai, X.C.},
1867  journal       = {Domain Decomposition Methods in Science and Engineering XVIII},
1868  pages         = {275--282},
1869  year          = {2009},
1870  publisher     = {Springer},
1871  petsc_uses    = {KSP}
1872}
1873
1874@Article{         mirams2013,
1875  author        = {Chris Luscombe and Geoff Williams and Jordi Munoz-Muriedas and David J Gavaghan
1876                  and Yi Cui and Gary R Mirams},
1877  title         = {Evaluation of an in silico cardiac safety assay: using ion channel screening data
1878                  to predict {QT} interval changes in the rabbit ventricular wedge},
1879  journal       = {Journal of pharmacological and toxicological methods},
1880  volume        = {68},
1881  number        = {1},
1882  pages         = {88--96},
1883  year          = {2013},
1884  doi           = {10.1016/j.vascn.2013.04.004},
1885  petsc_uses    = {KSP}
1886}
1887
1888% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
1889% LiteralHTML: <center><img  alt=""
1890% LiteralHTML: src="images/spine0l.jpg"></center></p>
1891% LiteralHTML: <center><img  alt=""
1892% LiteralHTML: src="images/vertebra.jpg"></center></p>
1893% LiteralHTML:<font color="#FF0000">
1894% LiteralHTML:Treating fractures of the hip and spine is a major medical cost.
1895% LiteralHTML:Understanding bone mechanical properties and how they may lead to
1896% LiteralHTML:fractures is thus an important medical research activity. PETSc and
1897% LiteralHTML:Prometheus have been used for extremely large scale finite element
1898% LiteralHTML:simulation of the solid mechanics of a portion of a human spine by a
1899% LiteralHTML:team of doctors and computational scientists. This computation was
1900% LiteralHTML:a winner of a Gordon Bell Special Prize at SC2004 and ran scalably
1901% LiteralHTML:with over 4000 processors.</p>
1902% LiteralHTML: </font>
1903@Article{         arbenz2008scalable,
1904  title         = {A scalable multi-level preconditioner for matrix-free $\mu$-finite element
1905                  analysis of human bone structures},
1906  author        = {Arbenz, P. and van Lenthe, G.H. and Mennel, U. and M{\\"u}ller, R. and Sala, M.},
1907  journal       = {International Journal for Numerical Methods in Engineering},
1908  volume        = {73},
1909  number        = {7},
1910  pages         = {927--947},
1911  year          = {2008},
1912  publisher     = {Wiley Online Library},
1913  petsc_uses    = {KSP}
1914}
1915
1916@InProceedings{   adams-04,
1917  author        = {Adams, M.~F. and Bayraktar, H.H. and Keaveny, T.M. and Papadopoulos, P.},
1918  booktitle     = {ACM/IEEE Proceedings of SC2004: High Performance Networking and Computing},
1919  title         = {Ultrascalable implicit finite element analyses in solid mechanics with over a
1920                  half a billion degrees of freedom},
1921  note          = {Gordon Bell Award},
1922  year          = {2004},
1923  petsc_uses    = {KSP}
1924}
1925
1926@InProceedings{   adams-03b,
1927  author        = {Adams, M.~F. and Bayraktar, H.H. and Keaveny, T.M. and Papadopoulos, P.},
1928  title         = {Applications of Algebraic Multigrid to Large-Scale Finite Element Analysis of
1929                  Whole Bone Micro-Mechanics on the {IBM SP}},
1930  booktitle     = {ACM/IEEE Proceedings of SC2003: High Performance Networking and Computing},
1931  year          = {2003},
1932  petsc_uses    = {KSP}
1933}
1934
1935@InProceedings{   oghattas2002,
1936  author        = {Volkan Akcelik and George Biros and Omar Ghattas},
1937  title         = {Parallel Multiscale {Gauss-Newton-Krylov} Methods For Inverse Wave Propagation},
1938  booktitle     = {Procceedings of SC2002},
1939  url           = {http://www-2.cs.cmu.edu/\~{ }oghattas/papers/sc2002.pdf},
1940  note          = {Winner of SC2002 Best Paper. A parallel algorithm for inverse problems governed
1941                  by time-dependent PDEs, and scalability results for an inverse wave propagation
1942                  problem of determining the material field of an acoustic medium. Using the
1943                  algorithm, they solved a synthetic inverse wave propagation problem though a
1944                  pelvic bone geometry involving 2.1 million inversion parameters in 3 hours on 256
1945                  processors.},
1946  year          = {2002},
1947  petsc_uses    = {KSP}
1948}
1949
1950% LiteralHTML:  <a name="biology:cardiology">
1951% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
1952% LiteralHTML: <center><img  alt=""
1953% LiteralHTML: src="images/heart.jpg">
1954% LiteralHTML: <img  alt=""
1955% LiteralHTML: src="images/pump.jpg"></center></p>
1956% LiteralHTML:
1957% LiteralHTML:<font color="#FF0000">
1958% LiteralHTML: Arrhythmias are disorders of the regular rhythmic beating of the
1959% LiteralHTML: heart; they are the cause of the majority of sudden cardiac
1960% LiteralHTML: deaths. The heart beat is controlled by electrical signals moving
1961% LiteralHTML: through the heart. PETSc has been used by several research groups to
1962% LiteralHTML: simulate the electronic behavior of the heart in an attempt to more
1963% LiteralHTML: fully understand the developments of arrhthmias.</p>
1964% LiteralHTML:</font>
1965@InProceedings{   oghattas2000,
1966  author        = {J. Antaki and G. Belloch and O. Ghattas and I. Malcevic and G. Miller and N.
1967                  Walkington},
1968  title         = {A Parallel Dynamic-Mesh {L}agrangian Method for Simulation of Flows with Dynamic
1969                  Interfaces},
1970  booktitle     = {Procceedings of SC2000},
1971  url           = {http://www.cs.cmu.edu/\~{ }oghattas/papers/sc2000/sc2000.pdf},
1972  note          = {Blood flow modeling at the microscale including effects on individual blood
1973                  cells, for designing heart assist pumps, etc.},
1974  year          = {2000},
1975  petsc_uses    = {KSP}
1976}
1977
1978@InBook{          cfps2006,
1979  author        = {P. Colli Franzone and L. F. Pavarino and G. Savare},
1980  editor        = {A. Quarteroni et al.},
1981  title         = {Complex Systems in Biomedicine},
1982  chapter       = {Computational Electrocardiology: mathematical and numerical modeling},
1983  publisher     = {Springer-Verlag},
1984  pages         = {187--241},
1985  year          = {2006},
1986  petsc_uses    = {KSP}
1987}
1988
1989@InProceedings{   cfpst2007,
1990  author        = {P. Colli Franzone and L. F. Pavarino and S. Scacchi and B. Taccardi},
1991  title         = {Determining recovery times from transmembrane action potentials and unipolar
1992                  electrograms in normal heart tissue},
1993  booktitle     = {FIMH07},
1994  publisher     = {Springer-Verlag},
1995  volume        = {4466},
1996  pages         = {139--149},
1997  year          = {2007},
1998  petsc_uses    = {KSP}
1999}
2000
2001@Article{         seemann2010framework,
2002  title         = {{Framework for Modular, Flexible and Efficient Solving the Cardiac Bidomain
2003                  Equations Using PETSc}},
2004  author        = {Seemann, G. and Sachse, FB and Karl, M. and Weiss, DL and Heuveline, V. and
2005                  D{\\"o}ssel, O.},
2006  journal       = {Progress in Industrial Mathematics at ECMI 2008},
2007  pages         = {363--369},
2008  year          = {2010},
2009  publisher     = {Springer},
2010  petsc_uses    = {KSP}
2011}
2012
2013@InProceedings{   pft2005,
2014  author        = {Luca F. Pavarino and Piero Colli Franzone and Bruno Taccardi},
2015  title         = {Monodomain Simulations of Excitation and Recovery in Cardiac Blocks with
2016                  Intramural Heterogeneity},
2017  booktitle     = {Functional Imaging and modeling of the Heart (FIMH05)},
2018  pages         = {267--277},
2019  editors       = {A. Frangi et al.},
2020  publisher     = {Springer, Lecture Notes in Computer Science (LNCS), v. 3504},
2021  year          = {2005},
2022  petsc_uses    = {KSP}
2023}
2024
2025@Article{         bgcp2005,
2026  author        = {Boyce E. Griffith and Charles S. Peskin},
2027  title         = {On the order of accuracy of the immersed boundary method: Higher order
2028                  convergence rates for sufficiently smooth problems},
2029  journal       = {Journal of Computational Physics},
2030  year          = {2005},
2031  volume        = {208},
2032  pages         = {75--105},
2033  petsc_uses    = {KSP}
2034}
2035
2036@Article{         griffith2007adaptive,
2037  title         = {An adaptive, formally second order accurate version of the immersed boundary
2038                  method},
2039  author        = {Griffith, B.E. and Hornung, R.D. and McQueen, D.M. and Peskin, C.S.},
2040  journal       = {Journal of Computational Physics},
2041  volume        = {223},
2042  number        = {1},
2043  pages         = {10--49},
2044  year          = {2007},
2045  publisher     = {Elsevier},
2046  petsc_uses    = {KSP}
2047}
2048
2049@PhDThesis{       griffith05,
2050  author        = {Boyce Griffith},
2051  title         = {Simulating the blood-muscle-valve mechanics of the heart by an adaptive and
2052                  parallel version of the immersed boundary method},
2053  school        = {New York University},
2054  year          = {2005},
2055  petsc_uses    = {KSP}
2056}
2057
2058@PhDThesis{       murillo,
2059  author        = {Maria S. Murillo},
2060  title         = {Parallel Algorithms and Software for Time-Dependent System of Nonlinear Partial
2061                  Differential Equations with an Application in Computational Biology},
2062  school        = {University of Colorado at Boulder},
2063  year          = {2002},
2064  petsc_uses    = {KSP}
2065}
2066
2067@Article{         spv2004,
2068  author        = {Rodrigo Weber Dos Santos and G. Plank and S. Bauer},
2069  title         = {Parallel multigrid preconditioner for the cardiac bidomain model},
2070  journal       = {IEEE Trans. Biomed. Eng},
2071  year          = {2004},
2072  volume        = {51},
2073  pages         = {1960--1968},
2074  petsc_uses    = {KSP}
2075}
2076
2077@Article{         vphl2003,
2078  author        = {E. J. Vigmond and M. Hughes and G. Plank, L.J. Leon},
2079  title         = { Computational Tools for Modeling Electrical Activity in Cardiac Tissue},
2080  journal       = {J. Electrocardiol.},
2081  year          = {2003},
2082  volume        = {36},
2083  pages         = {69--74},
2084  petsc_uses    = {KSP}
2085}
2086
2087@InProceedings{   spbv2003,
2088  author        = {Rodrigo Weber Dos Santos and G. Plank and S. Bauer and E.J. Vigmond},
2089  title         = {Preconditioning Techniques for the Bidomain Equations},
2090  booktitle     = {Proceedings of the 15th International Conference on Domain Decomposition
2091                  Methods},
2092  pages         = {571--580},
2093  publisher     = {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
2094  note          = {},
2095  url           = {http://www.ddm.org/DD15/proceedings-dd15.html},
2096  year          = {2003},
2097  petsc_uses    = {KSP}
2098}
2099
2100@Article{         franz-pavir-04,
2101  author        = {P. Colli Franzone and L.~F. Pavarino},
2102  title         = {A parallel solver for reaction-diffusion systems in computational
2103                  electrocardiology},
2104  journal       = {Mathematical Models and Methods in Applied Sciences},
2105  year          = {2004},
2106  volume        = {14},
2107  number        = {6},
2108  pages         = {883--912},
2109  petsc_uses    = {KSP}
2110}
2111
2112@Article{         franz-pavir-05,
2113  author        = {P. Colli Franzone and L.~F. Pavarino and B. Taccardi},
2114  title         = {Simulating patterns of excitation, repolarization and action potential
2115                  durationwith cardiac Bidomain and Monodomain models},
2116  journal       = {Mathematical Biosciences},
2117  year          = {2005},
2118  volume        = {197},
2119  number        = {1},
2120  pages         = {35--66},
2121  petsc_uses    = {KSP}
2122}
2123
2124@Article{         franz-pavir-06,
2125  author        = {P. Colli Franzone and L.~F. Pavarino and B. Taccardi},
2126  title         = {Effects of transmural electrical heterogeneities and electrotonic interactions on
2127                  the dispersion of cardiac repolarization and action potential duration: a
2128                  simulation study},
2129  journal       = {Mathematical Biosciences},
2130  year          = {2006},
2131  volume        = {204},
2132  number        = {1},
2133  pages         = {132--165},
2134  petsc_uses    = {KSP}
2135}
2136
2137@InProceedings{   colli-franz-sim,
2138  author        = {P. Colli-Franzone and L.F. Pavarino and B. Taccardi},
2139  title         = {MODELING ANISOTROPIC AND HETEROGENEOUS CARDIAC MODELS: PARALLEL SIMULATIONS},
2140  booktitle     = {MEDICON and HEALTH TELEMATICS 2004, Health in the Information Society, X
2141                  Mediterranean Conference on Medical and Biological Engineering},
2142  url           = {http://cluster.mat.unimi.it/doc/Progetti/Pavarino-LF.pdf},
2143  year          = {2004},
2144  petsc_uses    = {KSP}
2145}
2146
2147@InProceedings{   pf2003,
2148  author        = {Luca F. Pavarino and Piero Colli Franzone},
2149  title         = {Parallel Solution of Cardiac Reaction-Diffusion Models},
2150  booktitle     = {Proceedings of the 15th International Conference on Domain Decomposition
2151                  Methods},
2152  pages         = {669--776},
2153  publisher     = {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
2154  note          = {},
2155  url           = {http://www.ddm.org/DD15/proceedings-dd15.html},
2156  year          = {2003},
2157  petsc_uses    = {KSP}
2158}
2159
2160@Article{         maria-is04,
2161  author        = {Maria Murillo and Xiao-Chuan Cai},
2162  title         = {A fully implicit parallel algorithm for simulating the non-linear electrical
2163                  activity of the heart},
2164  journal       = {Numerical Linear Algebra with Applications},
2165  year          = {2004},
2166  volume        = {11},
2167  pages         = {261 - 277},
2168  url           = {http://www3.interscience.wiley.com/cgi-bin/abstract/107632540/ABSTRACT},
2169  petsc_uses    = {KSP}
2170}
2171
2172@Article{         murli2007monitoring,
2173  title         = {{Monitoring and Migration of a PETSc-based Parallel Application for Medical
2174                  Imaging in a Grid computing PSE}},
2175  author        = {Murli, A. and Boccia, V. and Carracciuolo, L. and D’Amore, L. and Laccetti, G.
2176                  and Lapegna, M.},
2177  journal       = {Grid-Based Problem Solving Environments},
2178  pages         = {421--432},
2179  year          = {2007},
2180  publisher     = {Springer},
2181  petsc_uses    = {KSP}
2182}
2183
2184@Article{         carracciuolo:2006:tpc,
2185  author        = {Carracciuolo, L. and D'Amore, L. and Murli, A.},
2186  title         = {Towards a parallel component for imaging in {PETSc} programming environment: a case
2187                  study in {3-D} echocardiography},
2188  journal       = {Parallel Comput.},
2189  volume        = {32},
2190  issue         = {1},
2191  month         = jan,
2192  year          = {2006},
2193  issn          = {0167-8191},
2194  pages         = {67--83},
2195  numpages      = {17},
2196  doi           = {10.1016/j.parco.2005.09.001},
2197  acmid         = {1141218},
2198  publisher     = {Elsevier Science Publishers B. V.},
2199  address       = {Amsterdam, The Netherlands, The Netherlands},
2200  keywords      = {Distributed software environment, Image denoising, Non linear PDE, Parallel
2201                  component},
2202  petsc_uses    = {KSP}
2203}
2204
2205@Article{         damore2011integration,
2206  title         = {Integration of emerging computer technologies for an efficient image sequences
2207                  analysis},
2208  journal       = {Integrated Computer-Aided Engineering },
2209  volume        = {18},
2210  number        = {4},
2211  pages         = {365 - 378},
2212  year          = {2011},
2213  note          = {},
2214  issn          = {1875-8835},
2215  doi           = {10.3233/ICA-2011-0382},
2216  url           = {http://iospress.metapress.com/content/KM614806M50TKVP7},
2217  author        = {L. D'Amore and D. Casaburi and A. Galletti and L. Marcellino and A. Murli},
2218  keywords      = {Image sequence, pipe and filters, parallel computing, multicore processors},
2219  petsc_uses    = {KSP}
2220}
2221
2222@InProceedings{   eth_biwi_00721,
2223  author        = {K. Burckhardt and D. Szczerba and J. Brown and K. Muralidhar and G.
2224                  Székely},
2225  title         = {Fast Implicit Simulation of Oscillatory Flow in Human Abdominal Bifurcation using
2226                  a {S}chur Complement Preconditioner},
2227  booktitle     = {Euro-Par 2009 Parallel Processing},
2228  year          = {2009},
2229  month         = aug,
2230  pages         = {747-759},
2231  volume        = {5704},
2232  editor        = {H. Sips and D. Epema and H.-X. Lin},
2233  series        = {Lecture Notes in Computer Science},
2234  publisher     = {Springer},
2235  keywords      = {Aortic aneurysm, flow simulation, streamline diffusion FEM, indefinite matrix,
2236                  parallel Krylov solver},
2237  petsc_uses    = {KSP}
2238}
2239
2240% LiteralHTML:  <a name="biology:imagingandsurgery">
2241% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
2242% LiteralHTML: <center><img  alt=""
2243% LiteralHTML: src="images/brain.jpg"></center>
2244@Article{         ganser2004deformable,
2245  title         = {A deformable digital brain atlas system according to Talairach and Tournoux},
2246  author        = {Ganser, K.A. and Dickhaus, H. and Metzner, R. and Wirtz, C.R.},
2247  journal       = {Medical Image Analysis},
2248  volume        = {8},
2249  number        = {1},
2250  pages         = {3--22},
2251  year          = {2004},
2252  publisher     = {Elsevier},
2253  petsc_uses    = {KSP}
2254}
2255
2256@Unpublished{     taccsurgery,
2257  title         = {{TACC} supercomputer performs laser cancer surgery on canine},
2258  url           = {http://www.tacc.utexas.edu/research/users/features/dynamic.php?m_b_c=laser},
2259  note          = {In April, the Lonestar supercomputer at the Texas Advanced Computing Center in
2260                  Austin performed laser surgery on a dog in Houston without the intervention of a
2261                  surgeon. The treatment was developed collaboratively by computational experts from
2262                  the Institute for Computational Engineering and Sciences (ICES) at UT-Austin,
2263                  leading technologists from the M.D. Anderson Cancer Center in Houston, and
2264                  cyberinfrastructure specialists and systems from TACC. Using precise lasers,
2265                  state-of-the-art thermal imaging technology, and advanced computational methods,
2266                  dynamic, data-driven treatments are being pursued as a minimally invasive
2267                  alternative to the standard treatment of cancer.},
2268  petsc_uses    = {KSP}
2269}
2270
2271@Article{         ffhbresso2008,
2272  author        = {Yusheng Feng and David Fuentes and Andrea Hawkins and Jon Bass and Marissa
2273                  Nichole Rylander and Andrew Elliott and Anil Shetty and R. Jason Stafford and J.
2274                  Tinsley Oden},
2275  title         = {Nanoshell-Mediated Laser Surgery Simulation for Prostate Cancer Treatment},
2276  journal       = {Engineering with Computers},
2277  note          = {Special issue on Computational Bioengineering},
2278  year          = {2008},
2279  url           = {http://www.tacc.utexas.edu/research/users/features/laser_surgery.pdf},
2280  petsc_uses    = {KSP}
2281}
2282
2283@TechReport{      dobbhbbbdeffghkkps2008,
2284  author        = {K. R. Diller and J. T. Oden and C. Bajaj and J. C. Browne and J. Hazle and I.
2285                  Babu{\v{s}}ka and J. Bass and L. Bidaut and L. Demkowicz and A. Elliott and Y.
2286                  Feng and D. Fuentes and S. Goswami and A. Hawkins and S. Khoshnevis and B. Kwon
2287                  and S. Prudhomme and R. J. Stafford},
2288  title         = {Computational Infrastructure for the Real-Time Patient-Specific Treatment of
2289                  Cancer},
2290  year          = {2008},
2291  institution   = {University of Texas at Austin},
2292  url           = {http://www.tacc.utexas.edu/research/users/features/cancer.pdf},
2293  petsc_uses    = {KSP}
2294}
2295
2296@Article{         ogdb2004,
2297  author        = {A.A. Oberai and N.H. Gokhale and M.M. Doyley and J.C.Bamber},
2298  title         = {Evaluation of the Adjoint Equation Based Algorithm for Elasticity Imaging},
2299  journal       = {Physics in Medicine and Biology},
2300  year          = {2004},
2301  volume        = {49},
2302  pages         = {2955--2947},
2303  petsc_uses    = {KSP}
2304}
2305
2306@InProceedings{   majumdar11,
2307  author        = {A. Majumdar and A. Birnbaum and D. Choi and A. Trivedi and S. K. Warfield and K.
2308                  Baldridge and P. Krysl},
2309  title         = {A Dynamic Data Driven Grid System for Intra-Operative Image Guided Neurosurgery},
2310  booktitle     = {ICCS 2005},
2311  pages         = {672--679},
2312  editor        = {V.S. Sunderam et al.},
2313  year          = {2005},
2314  petsc_uses    = {KSP}
2315}
2316
2317@Conference{      sermesant-etal:03,
2318  author        = {Sermesant, M. and Clatz, O. and Li, Z. and Lanteri, S. and Delingette, H. and
2319                  Ayache, H.},
2320  title         = {A parallel implementation of non-rigid registration using a volumetric
2321                  biomechanical model},
2322  booktitle     = {Second International Workshop on Biomedical Image Registration {WBIR'03}},
2323  address       = {Philadelphia, PA, USA},
2324  publisher     = {Springer-Verlag},
2325  editor        = {Gee, J.C. and Maintz, J.B.A. and Vannier, M.W.},
2326  series        = {Lecture Notes in Computer Science},
2327  volume        = {2717},
2328  pages         = {398-407},
2329  date          = {june 23-24},
2330  year          = {2003},
2331  url           = {ftp://ftp-sop.inria.fr/epidaure/Publications/Sermesant/WBIR2003Sermesant.pdf},
2332  petsc_uses    = {KSP}
2333}
2334
2335@Conference{      sermesant-etal:04,
2336  author        = {J. Rexilius and S.K. Warfield and C.R.G. Guttmann and X. Wei and R. Benson and L.
2337                  Wolfson and M. Shenton and H. Handels and R. Kikinis},
2338  title         = {A Novel Nonrigid Registration Algorithm And Applications},
2339  booktitle     = {Medical Image Computing and Computer-Assisted Intervention - MICCAI 2001},
2340  address       = {Philadelphia, PA, USA},
2341  publisher     = {Springer-Verlag},
2342  editor        = {Gee, J.C. and Maintz, J.B.A. and Vannier, M.W.},
2343  series        = {Lecture Notes in Computer Science},
2344  volume        = {2208},
2345  pages         = {923},
2346  year          = {2003},
2347  url           = {http://www.springerlink.com/app/home/contribution.asp?wasp=6pgwnvthup0amt7g9j4k&referrer=parent&backto=issue,105,251;journal,1191,1949;linkingpublicationresults,1:105633,1},
2348  petsc_uses    = {KSP}
2349}
2350
2351@Article{         warfield-haker-talos-05,
2352  author        = {Simon K. Warfield and Steven J. Haker and Ion-Florin Talos and Corey A. Kemper
2353                  and Neil Weisenfeld and Andrea U.J. Mewes and Daniel Goldberg-Zimring and Kelly H.
2354                  Zou and Carl-Fredrik Westin and William M. Wells and Clare M.C. Tempany and
2355                  Alexandra Golby and Peter M. Black and Ferenc A. Jolesz and Ron Kikinis},
2356  title         = {Capturing intraoperative deformations: research experience at {B}righam and {W}omen's
2357                  hospital},
2358  journal       = {Medical Image Analysis},
2359  url           = {http://splweb.bwh.harvard.edu:8000/pages/papers/warfield/capturing-intraoperative-deformations-MIA2005.pdf},
2360  year          = {2005},
2361  petsc_uses    = {KSP}
2362}
2363
2364@Article{         brain3,
2365  author        = {Simon K. Warfield and Florin Talos and Alida Tei and Arya Nabavi and Matthieu
2366                  Ferrant and Peter McL. Black and Ferenc A. Jolesz and Ron Kikinis},
2367  title         = {Real-Time Registration of Volumetic Brain {MRI} by Biomechanical Simulation of
2368                  Deformation during Image Guided Neurosurgery},
2369  journal       = {Computing and Visualization in Science},
2370  url           = {http://splweb.bwh.harvard.edu:8000/pages/ppl/warfield/papers/2002/warfield-2002-cvs-appeared.pdf},
2371  year          = {2002},
2372  petsc_uses    = {KSP}
2373}
2374
2375@Article{         brain2,
2376  author        = {Matthieu Ferrant and Arya Nabavi and Benoit Macq and Ferenc A. Jolesz and Ron
2377                  Kikinis and Simon K. Warfield},
2378  title         = {Registration of {3D} Intraoperative {MR} Images of the Brain using a Finite
2379                  Element Biomechanical Model},
2380  journal       = {IEEE Transactions on Medical Imaging},
2381  url           = {http://splweb.bwh.harvard.edu:8000/pages/papers/ferrant/tmi2001.pdf},
2382  year          = {2001},
2383  petsc_uses    = {KSP}
2384}
2385
2386@InProceedings{   brain1,
2387  author        = {Simon K. Warfield and Matthieu Ferrant and Xavier Gallez and Arya Nabavi and
2388                  Ferenc A. Jolesz and Ron Kikinis},
2389  title         = {Real-Time Biomechanical Simulation of Volumetric Brain Deformation for Image
2390                  Guided Neurosurgery},
2391  booktitle     = {Proceedings of SC2000},
2392  url           = {http://www.sc2000.org/techpapr/papers/pap.pap230.pdf},
2393  year          = {2000},
2394  petsc_uses    = {KSP}
2395}
2396
2397@Article{         vanne06,
2398  author        = {V. Kolehmainen and A. Vanne and S. Siltanen and S. Jarvenpaa and J.P. Kaipio and
2399                  M. Lassas and M. Kalke},
2400  title         = {Parallelized {B}ayesian inversion for three-dimensional dental {X}-ray imaging},
2401  journal       = {IEEE Transactions on Medical Imaging},
2402  volume        = {25},
2403  number        = {2},
2404  month         = feb,
2405  year          = {2006},
2406  pages         = {218--228},
2407  petsc_uses    = {KSP}
2408}
2409
2410@InProceedings{   knepleybardhan2015,
2411  title         = {Work/Precision Tradeoffs in Continuum Models of Biomolecular Electrostatics},
2412  author        = {Matthew G. Knepley and Jaydeep P. Bardhan},
2413  booktitle     = {Proceedings of ASME 2015 International Mechanical Engineering Congress \&
2414                  Exposition},
2415  volume        = {9},
2416  pages         = {V009T12A04},
2417  doi           = {10.1115/IMECE2015-53579},
2418  year          = {2015},
2419  petsc_uses    = {KSP}
2420}
2421
2422@InProceedings{   bardhanknepley2015,
2423  title         = {Multiscale models and approximation algorithms for protein electrostatics},
2424  author        = {Jaydeep P. Bardhan and Matthew G. Knepley},
2425  booktitle     = {Boundary Elements and Other Mesh Reduction Methods XXXVIII},
2426  volume        = {61},
2427  pages         = {163--174},
2428  url           = {http://www.witpress.com/Secure/elibrary/papers/BEM38/BEM38013FU1.pdf},
2429  doi           = {10.2495/BEM380131},
2430  publisher     = {WIT Press},
2431  year          = {2015},
2432  petsc_uses    = {KSP}
2433}
2434
2435% LiteralHTML:
2436% LiteralHTML:  <a name="fusion"><H3><center>Fusion</center></H3>
2437% LiteralHTML:
2438@InProceedings{   adamsbrennanknepleywang2022,
2439  title         = {{Landau} collision operator in the {CUDA} programming model applied to thermal
2440                  quench plasmas},
2441  author        = {Mark. F. Adams and Dylan P. Brennan and Matthew G. Knepley and Peng Wang},
2442  booktitle     = {36th IEEE International Parallel \& Distributed Processing Symposium Conference
2443                  (IPDPS '22)},
2444  doi           = {10.1109/IPDPS53621.2022.00020},
2445  year          = {2022},
2446  petsc_uses    = {DMPlex}
2447}
2448
2449@Misc{            adamsknepleybrennan2021,
2450  title         = {Runaway Electron Generation with High-Performance, Structure Preserving
2451                  Discretization of {F}okker--{P}lank--{L}andau},
2452  author        = {Mark F. Adams and Matthew G. Knepley and Dylan Brennan},
2453  year          = {2021},
2454  petsc_uses    = {KSP}
2455}
2456
2457@Article{         adamshirvijokiknepleybrownisaacmills2017,
2458  title         = {{Landau} Collision Integral Solver with Adaptive Mesh Refinement on Emerging
2459                  Architectures},
2460  author        = {Mark F. Adams and Eero Hirvijoki and Matthew G. Knepley and Jed Brown and Tobin
2461                  Isaac and Richard Mills},
2462  journal       = {SIAM Journal on Scientific Computing},
2463  volume        = {39},
2464  number        = {6},
2465  pages         = {C452--C465},
2466  doi           = {10.1137/17M1118828},
2467  eprint        = {1702.08880},
2468  year          = {2017},
2469  petsc_uses    = {KSP}
2470}
2471
2472@Article{         pusztayknepleyadams2022,
2473  title         = {Conservative Projection Between {FEM} and Particle Bases},
2474  author        = {Joseph V. Pusztay and Matthew G. Knepley and Mark F. Adams},
2475  journal       = {SIAM Journal on Scientific Computing},
2476  volume        = {44},
2477  number        = {4},
2478  pages         = {C310--C319},
2479  doi           = {10.1137/21M145407},
2480  year          = {2022}
2481}
2482
2483@Article{         hirvijoki2017,
2484  author        = {Eero Hirvijoki and Mark F. Adams},
2485  title         = {Conservative discretization of the {Landau} collision integral},
2486  journal       = {Physics of Plasmas},
2487  volume        = {24},
2488  number        = {3},
2489  pages         = {032121},
2490  doi           = {10.1063/1.4979122},
2491  year          = {2017},
2492  petsc_uses    = {KSP}
2493}
2494
2495@Article{         mollenadamsknepleyhagerchang2021,
2496  title         = {Implementation of higher-order velocity mapping between marker particles and grid
2497                  in the particle-in-cell code {XGC}},
2498  author        = {Albert Moll\'en and Mark F. Adams and Matthew G. Knepley and Robert Hager and C.
2499                  S. Chang},
2500  journal       = {Journal of Plasma Physics},
2501  volume        = {87},
2502  number        = {2},
2503  pages         = {905870229},
2504  eprint        = {2012.11764},
2505  doi           = {10.1017/S0022377821000441},
2506  year          = {2021},
2507  petsc_uses    = {KSP}
2508}
2509
2510@Article{         lsmh2014,
2511  author        = {M. Landreman and H. M. Smith and A. Mollen and P. Helander},
2512  title         = {Comparison of particle trajectories and collision operators for collisional
2513                  transport in nonaxisymmetric plasmas},
2514  journal       = { Physics of Plasmas},
2515  volume        = {21},
2516  year          = {2014},
2517  petsc_uses    = {KSP}
2518}
2519
2520@Article{         lpcep2014,
2521  author        = {M. Landreman and F. I Parra and P. J. Catto and D. Ernst and I. Pusztai},
2522  title         = {Radially global delta-f computation of neoclassical phenomena in a tokamak
2523                  pedestal},
2524  journal       = {Plasma Physics and Controlled Fusion},
2525  volume        = {56},
2526  year          = {2014},
2527  petsc_uses    = {KSP}
2528}
2529
2530@Article{         facets-scidac08,
2531  title         = {First Results from Core-Edge Parallel Composition in the {FACETS} Project},
2532  author        = {J. Cary and J. Candy and R. Cohen and S. Krasheninnikov and D. McCune and D.
2533                  Estep and J. Larson and A. Malony and A. Pankin and P. Worley and J. Carlsson and
2534                  A. Hakim and P. Hamill and S. Kruger and M. Miah and S. Muzsala and A. Pletzer and
2535                  S. Shasharina and D. Wade-Stein and N. Wang and S. Balay and L. McInnes and H.
2536                  Zhang and T. Casper and L. Diachin and T. Epperly and T. Rognlien and M. Fahey and
2537                  J. Cobb and A. Morris and S. Shende and G. Hammett and K. Indireshkumar and D.
2538                  Stotler and A. Pigarov},
2539  journal       = {J. Phys.: Conf. Ser.},
2540  volume        = {125},
2541  year          = {2008},
2542  pages         = {012040},
2543  url           = {http://www.iop.org/EJ/abstract/1742-6596/125/1/012040},
2544  petsc_uses    = {KSP}
2545}
2546
2547@Article{         facets-scidac09,
2548  title         = {Concurrent, Parallel, Multiphysics Coupling in the {FACETS} Project},
2549  author        = {J. Cary and J. Candy and J. Cobb and R. H. Cohen and T. Epperly and D. Estep and
2550                  S. Krasheninnikov and A. Malony and D. McCune and L. McInnes and A. Pankin and S.
2551                  Balay and J. Carlsson and M. R. Fahey and R. Groebner and A. Hakim and S. Kruger
2552                  and M. Miah and A. Pletzer and S. Shasharina and S. Vadlamani and D. Wade-Stein
2553                  and T. Rognlien and A. Morris and S. Shende and G. W. Hammett and K. Indireshkumar
2554                  and A. Pigarov and H. Zhang},
2555  journal       = {J. Phys.: Conf. Ser.},
2556  volume        = {180},
2557  year          = {2009},
2558  pages         = {012056},
2559  url           = {http://iopscience.iop.org/1742-6596/180/1/012056},
2560  petsc_uses    = {KSP}
2561}
2562
2563@InProceedings{   facets-scidac10,
2564  title         = {Coupled Whole Device Simulations of Plasma Transport in Tokamaks with the
2565                  {FACETS} Code},
2566  author        = {A. Hakim and J. Cary and J. Candy and J. Cobb and R. Cohen and T. Epperly and D.
2567                  Estep and S. Krasheninnikov and A. Malony and D McCune and L.C. McInnes and A.
2568                  Pankin and S. Balay J. Carlsson and M. Fahey and R. Groebner and S. Kruger and M.
2569                  Miah and A. Pletzer and S. Shasharina and S. Vadlamani and D. Wade-Stein and T.
2570                  Rognlein and A. Morris and S. Shende and G. Hammett and K. Indareshkumar and A.
2571                  Pigarov and H. Zhang},
2572  booktitle     = {Proceedings of SciDAC 2010 Conference},
2573  year          = {2010},
2574  url           = {http://computing.ornl.gov/workshops/scidac2010/papers/fusion_a_hakim.pdf},
2575  petsc_uses    = {KSP}
2576}
2577
2578@InProceedings{   facets-fec2010,
2579  title         = {Concurrent, Parallel, Coupled Core-Edge Simulations of Pedestal Formation Using
2580                  the {FACETS} Framework},
2581  author        = {J. Cary and A. Hakim and A. Pletzer and M. Miah and S. Kruger and S. Shasharina
2582                  and S. Vadlamani and J. Carlsson and A. Pankin and T. Rognlien and R. Cohen and D.
2583                  McCune and K. Indireshkumar and A. Pigarov and L.C. McInnes and H. Zhang},
2584  booktitle     = {Proceedings of the 23rd annual IAEA Fusion Energy Conference (FEC 2010), Daejon,
2585                  Republic of Korea},
2586  year          = {2010},
2587  petsc_uses    = {KSP}
2588}
2589
2590@InProceedings{   facets-epdp2010,
2591  title         = {{FACETS}: A Framework for Parallel Coupling of Fusion Components},
2592  author        = {J. Cary and A. Hakim and M. Miah and S. Kruger and A. Pletzer and S. Shasharina
2593                  and S. Vadlamani and A. Pankin and R. Cohen and T. Epperly and T. Rognlien and R.
2594                  Groebner and S. Balay and L. McInnes and H. Zhang},
2595  booktitle     = {Proceedings of Euromicro PDP 2010 (The 18th Euromicro International Conference on
2596                  Parallel, Distributed and Network-Based Computing), Pisa, Italy},
2597  year          = {2010},
2598  petsc_uses    = {KSP}
2599}
2600
2601@Article{         carlssoncary09,
2602  author        = {Johan Carlsson, John R. Cary},
2603  title         = {The hypersecant {J}acobian approximation for quasi-{N}ewton solves of sparse
2604                  nonlinear systems},
2605  journal       = {arXiv},
2606  year          = {2009},
2607  note          = {http://arxiv.org/abs/0905.1054},
2608  url           = {http://arxiv.org/pdf/0905.1054v1},
2609  petsc_uses    = {KSP}
2610}
2611
2612@InProceedings{   oshahjs2006,
2613  author        = {F. Ogando and A. Signell and J.A. Heikkinen and M. Aspn\"as and S. Henriksson and
2614                  S.J. Janhunen and T.P. Kiviniemi},
2615  title         = {Performance enhancements to {ELMFIRE} gyrokinetic code leading to new ranges of
2616                  application},
2617  booktitle     = {33rd EPS Conference on Plasma Phys.},
2618  year          = {2006},
2619  url           = {http://epsppd.epfl.ch/Roma/pdf/P4_153.pdf},
2620  note          = {European fusion code},
2621  petsc_uses    = {KSP}
2622}
2623
2624@Article{         zhu2006,
2625  author        = {P. Zhu and A. Bhattacharjee and K. Germaschewski},
2626  title         = {Intermediate nonlinear evolution of the {P}arker instability: Formation of
2627                  convection-induced discontinuities and absence of finite-time singularities},
2628  journal       = {Phys. Rev. Lett.},
2629  volume        = {96},
2630  number        = {065001},
2631  year          = {2006},
2632  doi           = {10.1103/PhysRevLett.96.065001},
2633  petsc_uses    = {KSP}
2634}
2635
2636@InProceedings{   ppc2005,
2637  author        = {B. Philip and M. Pernice and L.Chacon},
2638  title         = {Solution of Reduced Resistive Magnetohydrodynamics using Implicit Adaptive Mesh
2639                  Refinement},
2640  booktitle     = {Proceedings of the 16th International Conference on Domain Decomposition
2641                  methods},
2642  year          = {2005},
2643  lab           = {LANL},
2644  petsc_uses    = {KSP}
2645}
2646
2647@Article{         pp2005,
2648  author        = {M. Pernice and B. Philip},
2649  title         = {Solution of Equilibrium Radiation Diffusion Problems using Adaptive Mesh
2650                  Refinement},
2651  year          = {2005},
2652  journal       = {SIAM J. of Sci. Comput.},
2653  lab           = {LANL},
2654  petsc_uses    = {KSP}
2655}
2656
2657@Article{         gt2004,
2658  author        = {A. H. Glasser and X. Z. Tang},
2659  title         = {The {SEL} macroscopic modeling code},
2660  year          = {2004},
2661  journal       = {Computer Physics Communications},
2662  pages         = {237--243},
2663  volume        = {164},
2664  lab           = {LANL},
2665  petsc_uses    = {KSP}
2666}
2667
2668@Article{         nl2006,
2669  author        = {Y. Nishimura and Z.Lin},
2670  title         = {A finite element mesh in a tokamak edge geometry},
2671  year          = {2006},
2672  journal       = {Contributions to Plasma Physics},
2673  volume        = {22},
2674  lab           = {PPPL},
2675  petsc_uses    = {KSP}
2676}
2677
2678@Article{         nlle2004,
2679  author        = {Y. Nishimura and Z.Lin and J.Lewandowski and S.Ethier},
2680  title         = {A finite element {P}oisson solver for gyrokinetic particle simulations in a global
2681                  field aligned mesh},
2682  year          = {2006},
2683  journal       = {J. Comput. Phys.},
2684  volume        = {214},
2685  pages         = {657},
2686  lab           = {PPPL},
2687  petsc_uses    = {KSP}
2688}
2689
2690@InProceedings{   lnlle2004,
2691  author        = {J.L.V Lewandowski and Y.Nishimura and W.W.Lee and Z.Lin and S. Ethier},
2692  title         = {Global gyrokinetic Particle-in-cell Simulations with Trapped Electrons},
2693  booktitle     = {Sherwood Fusion Theory Conference, Missoula, MT},
2694  year          = {2004},
2695  url           = {http://www.sherwoodtheory.org/sherwood04/program/1e15.pdf},
2696  lab           = {PPPL},
2697  petsc_uses    = {KSP}
2698}
2699
2700@InProceedings{   nlclew2004,
2701  author        = {Y. Nishimura and Z.Lin and L.Chen and J.Lewandowski and S.Ethier and W. Wang},
2702  title         = {Electromagnetic gyrokinetic simulation with a fluid-kinetic hybrid electron
2703                  model},
2704  booktitle     = {Sherwood Fusion Theory Conference, Missoula, MT},
2705  year          = {2004},
2706  url           = {http://www.sherwoodtheory.org/sherwood04/program/1C32.pdf},
2707  lab           = {PPPL},
2708  petsc_uses    = {KSP}
2709}
2710
2711@Article{         tb1,
2712  author        = {X.~Z.~Tang and A.~H.~Boozer},
2713  title         = {Numerical studies of a steady state axisymmetric co-axial helicity injection
2714                  plasma},
2715  journal       = {Physics of Plasmas},
2716  year          = {2004},
2717  pages         = {171--185},
2718  volume        = {11},
2719  lab           = {LANL},
2720  petsc_uses    = {KSP}
2721}
2722
2723@Unpublished{     nlcw,
2724  title         = {Inclusion of electromagnetic effects into gyrokinetic particle simulations},
2725  author        = {Y. Nishimura and Z.Lin and L.Chen and W. Wang},
2726  note          = {American Physical Society 45th Annual Meeting Division of Plasma Physics,
2727                  Albuquerque, New Mexico, October 2003},
2728  year          = {2003},
2729  petsc_uses    = {KSP}
2730}
2731
2732@TechReport{      tang2001,
2733  author        = {X. Z. Tang and G. Y. Fu and S. C. Jardin and L. L. Lowe and W. Park and H. R.
2734                  Strauss},
2735  title         = {Resistive Magnetohydrodynamics Simulation of Fusion Plasmas},
2736  year          = {2001},
2737  institution   = {Princeton Plasma Physics Laboratory},
2738  number        = {PPPL-3532},
2739  url           = {http://www.pppl.gov/pub_report/2001/PPPL-3532.pdf},
2740  note          = {Presented at 10th Society for Industrial and Applied Mathematics (SIAM)
2741                  Conference on Parallel Processing for Scientific Computing, Portsmouth, Virginia,
2742                  March 12-14, 2001.},
2743  lab           = {PPPL},
2744  petsc_uses    = {KSP}
2745}
2746
2747% LiteralHTML:
2748% LiteralHTML:  <a name="geosciences"><H3><center>Geosciences</center></H3>
2749% LiteralHTML:
2750@Article{         valerathomasgarciacastillo2019,
2751  author        = {Manuel Valera and Mary P. Thomas and Mariangel Garcia and Jose E. Castillo},
2752  title         = {Parallel Implementation of a {PETSc-Based} Framework for the General Curvilinear
2753                  Coastal Ocean Model},
2754  journal       = {Journal of Marine Science and Engineering},
2755  volume        = {7},
2756  number        = {6},
2757  article-number= {185},
2758  url           = {https://www.mdpi.com/2077-1312/7/6/185},
2759  issn          = {2077-1312},
2760  doi           = {10.3390/jmse7060185},
2761  year          = {2019},
2762  petsc_uses    = {KSP}
2763}
2764
2765@Article{         furuichimat2015,
2766  title         = {Implicit solution of the material transport in Stokes flow simulation: Toward
2767                  thermal convection simulation surrounded by free surface},
2768  author        = {Mikito Furuichi and Dave A May},
2769  journal       = {Computer Physics Communications},
2770  volume        = {192},
2771  pages         = {1--11},
2772  year          = {2015},
2773  petsc_uses    = {KSP}
2774}
2775
2776@Article{         sharplesmoresivelicjadamecmay2016,
2777  title         = {Simulating faults and plate boundaries with a transversely isotropic plasticity
2778                  model},
2779  author        = {Wendy Sharples and Louis N Moresi and Mirko Velic and Margarete A Jadamec and
2780                  Dave A May},
2781  journal       = {Physics of the Earth and Planetary Interiors},
2782  volume        = {252},
2783  pages         = {77--90},
2784  year          = {2016},
2785  petsc_uses    = {KSP}
2786}
2787
2788@Article{         spiegelmanmaywilson2016,
2789  title         = {On the solvability of incompressible {S}tokes with viscoplastic rheologies in
2790                  geodynamics},
2791  author        = {Marc Spiegelman and Dave A May and Cian R Wilson},
2792  journal       = {Geochemistry, Geophysics, Geosystems},
2793  volume        = {17},
2794  number        = {6},
2795  pages         = {2213--2238},
2796  year          = {2016},
2797  petsc_uses    = {KSP}
2798}
2799
2800@Article{         buiteretal2016,
2801  title         = {Benchmarking numerical models of brittle thrust wedges},
2802  author        = {Susanne JH Buiter and Guido Schreurs and Markus Albertz and Taras V Gerya and
2803                  Boris Kaus and Walter Landry and Laetitia {Le Pourhiet} and Yury Mishin and David
2804                  L Egholm and Michele Cooke and Bertrand Maillot and Cedric Thieulot and Tony Crook
2805                  and Dave May and Pauline Souloumiac and Christopher Beaumont},
2806  journal       = {Journal of structural geology},
2807  volume        = {92},
2808  pages         = {140--177},
2809  year          = {2016},
2810  petsc_uses    = {KSP}
2811}
2812
2813@Article{         afanasievboehmdrielkrischerrietmannmayknepleyfichtner2019,
2814  title         = {Modular and flexible spectral-element waveform modelling in two and three
2815                  dimensions},
2816  author        = {Michael Afanasiev and Christian Boehm and Martin van Driel and Lion Krischer and
2817                  Max Rietmann and Dave A. May and Matthew G. Knepley and Andreas Fichtner},
2818  journal       = {Geophysical Journal International},
2819  volume        = {216},
2820  number        = {3},
2821  pages         = {1675--1692},
2822  doi           = {10.1093/gji/ggy469},
2823  year          = {2019},
2824  petsc_uses    = {KSP}
2825}
2826
2827@Article{         haplaknepleyafanasievboehmdrielkrischerfichtner2020,
2828  title         = {Fully Parallel Mesh {I/O} using {PETSc} {DMPlex} with an Application to Waveform
2829                  Modeling},
2830  author        = {Vaclav Hapla and Matthew G. Knepley and Michael Afanasiev and Christian Boehm and
2831                  Martin van Driel and Lion Krischer and Andreas Fichtner},
2832  journal       = {SIAM Journal on Scientific Computing},
2833  volume        = {43},
2834  number        = {2},
2835  pages         = {C127--C153},
2836  eprint        = {http://arxiv.org/abs/2004.08729},
2837  doi           = {10.1137/20M1332748},
2838  year          = {2021},
2839  petsc_uses    = {KSP}
2840}
2841
2842@Article{         parsani2021,
2843  title         = {High-order accurate entropy-stable discontinuous collocated {G}alerkin methods with
2844                  the summation-by-parts property for compressible {CFD} frameworks: Scalable {SSDC}
2845                  algorithms and flow solver},
2846  author        = {Matteo Parsani and Radouan Boukharfane and Irving Reyna Nolasco and David C. {Del
2847                  Rey Fernández} and Stefano Zampini and Bilel Hadri and Lisandro Dalcin},
2848  journal       = {Journal of Computational Physics},
2849  volume        = {424},
2850  pages         = {109844},
2851  issn          = {0021-9991},
2852  doi           = {https://doi.org/10.1016/j.jcp.2020.109844},
2853  url           = {http://www.sciencedirect.com/science/article/pii/S0021999120306185},
2854  year          = {2021},
2855  petsc_uses    = {KSP}
2856}
2857
2858@Article{         ambartsumyanbouakaramthanhghattaskeyesstadlerturkiyyahzampini2020,
2859  title         = {Hierarchical matrix approximations of {Hessians} arising in inverse problems
2860                  governed by {PDEs}},
2861  author        = {I. Ambartsumyan and W. Bouakaram and Than Bui-Thanh and Omar Ghattas and David
2862                  Keyes and Georg Stadler and George Turkiyyah and Stefano Zampini},
2863  journal       = {SIAM Journal of Scientific Computing},
2864  volume        = {42},
2865  number        = {5},
2866  pages         = {A3397--A3426},
2867  year          = {2020}
2868}
2869
2870@Article{         zampinibouakaramturkiyyahkniokeyes2022,
2871  title         = {H2Opus: a distributed memory {multi-GPU} software for non-local operators},
2872  author        = {Stefano Zampini and W. Bouakaram and George Turkiyyah and O. Knio and David E.
2873                  Keyes},
2874  journal       = {Advances on Computational Mathematics},
2875  note          = {In press},
2876  year          = {2022}
2877}
2878
2879@Article{         dassizampiniscacchi2022,
2880  title         = {Robust and scalable adaptive {BDDC} preconditioners for virtual element
2881                  discretizations of elliptic equations in mixed form},
2882  author        = {F. Dassi and Stefano Zampini and S. Scacchi},
2883  journal       = {Computer Methods in Applied Mechanics and Engineering},
2884  volume        = {391},
2885  pages         = {114620},
2886  year          = {2022}
2887}
2888
2889@Article{         youngoppenheimdimant2017,
2890  author        = {Matthew A. Young and Meers M. Oppenheim and Yakov S. Dimant},
2891  title         = {Hybrid simulations of coupled {F}arley-{B}uneman/gradient drift instabilities in the
2892                  equatorial E region ionosphere},
2893  journal       = {Journal of Geophysical Research: Space Physics},
2894  volume        = {122},
2895  number        = {5},
2896  issn          = {2169-9402},
2897  doi           = {10.1002/2017JA024161},
2898  pages         = {5768--5781},
2899  year          = {2017},
2900  petsc_uses    = {KSP}
2901}
2902
2903@Article{         rioussetpatylillisfillingimenglandwithershale2013,
2904  title         = {Three-dimensional multifluid modeling of atmospheric electrodynamics in {M}ars'
2905                  dynamo region},
2906  author        = {Jeremy A Riousset and Carol S Paty and Robert J Lillis and Matthew O Fillingim
2907                  and Scott L England and Paul G Withers and John P M Hale},
2908  journal       = {Journal of Geophysical Research: Space Physics},
2909  volume        = {118},
2910  number        = {6},
2911  pages         = {3647--3659},
2912  year          = {2013},
2913  publisher     = {Wiley Online Library},
2914  petsc_uses    = {KSP}
2915}
2916
2917@Article{         chien2016representation,
2918  title         = {Representation of topography by partial steps using the immersed boundary method
2919                  in a vector vorticity equation model (VVM)},
2920  author        = {Chien, Mu-Hua and Wu, Chien-Ming},
2921  journal       = {Journal of Advances in Modeling Earth Systems},
2922  year          = {2016},
2923  publisher     = {Wiley Online Library},
2924  petsc_uses    = {KSP}
2925}
2926
2927@Article{         berger2015parallel,
2928  title         = {Parallel preconditioners for monolithic solution of shear bands},
2929  author        = {Berger-Vergiat, Luc and McAuliffe, Colin and Waisman, Haim},
2930  journal       = {Journal of Computational Physics},
2931  year          = {2015},
2932  publisher     = {Elsevier},
2933  petsc_uses    = {KSP}
2934}
2935
2936@Article{         may2015496,
2937  title         = {A scalable, matrix-free multigrid preconditioner for finite element
2938                  discretizations of heterogeneous {S}tokes flow },
2939  journal       = {Computer Methods in Applied Mechanics and Engineering },
2940  volume        = {290},
2941  number        = {0},
2942  pages         = {496--523},
2943  year          = {2015},
2944  issn          = {0045-7825},
2945  doi           = {10.1016/j.cma.2015.03.014},
2946  author        = {D.A. May and J. Brown and L. {Le Pourhiet}},
2947  petsc_uses    = {KSP}
2948}
2949
2950@Article{         isaacknepley2017,
2951  title         = {Support for Non-conformal Meshes in {PETSc}'s {DMPlex} Interface},
2952  author        = {Tobin Isaac and Matthew G. Knepley},
2953  journal       = {ArXiv e-prints},
2954  eprint        = {1508.02470},
2955  year          = {2017},
2956  note          = {\url{http://arxiv.org/abs/1508.02470}},
2957  petsc_uses    = {DMPlex}
2958}}
2959
2960@Article{         knepleylangegorman2017,
2961  title         = {Unstructured Overlapping Mesh Distribution in Parallel},
2962  author        = {Matthew G. Knepley and Michael Lange and Gerard J. Gorman},
2963  journal       = {ArXiv e-prints},
2964  eprint        = {1506.06194},
2965  year          = {2017},
2966  note          = {\url{http://arxiv.org/abs/1506.06194}},
2967  petsc_uses    = {DMPlex}
2968}
2969
2970@Article{         langemitchellknepleygorman2015,
2971  title         = {Efficient mesh management in {Firedrake} using {PETSc-DMPlex}},
2972  author        = {Michael Lange and Lawrence Mitchell and Matthew G. Knepley and Gerard J. Gorman},
2973  journal       = {SIAM Journal on Scientific Computing},
2974  volume        = {38},
2975  number        = {5},
2976  pages         = {S143--S155},
2977  eprint        = {http://arxiv.org/abs/1506.07749},
2978  doi           = {10.1137/15M1026092},
2979  year          = {2016},
2980  petsc_uses    = {DMPlex}
2981}
2982
2983@InProceedings{   langeknepleygorman2015,
2984  title         = {Flexible, Scalable Mesh and Data Management using {PETSc DMPlex}},
2985  author        = {Michael Lange and Matthew G. Knepley and Gerard J. Gorman},
2986  booktitle     = {Proceedings of the Exascale Applications and Software Conference},
2987  month         = apr,
2988  url           = {http://www.easc2015.ed.ac.uk/sites/default/files/attachments/EASC15Proceedings.pdf},
2989  year          = {2015},
2990  petsc_uses    = {DMPlex}
2991}
2992
2993@InProceedings{   wallworkknepleybarralpiggott2022,
2994  title         = {Parallel Metric-Based Mesh Adaptation in {PETSc} using {ParMmg}},
2995  author        = {Joseph G. Wallwork and Matthew G. Knepley and Nicolas Barral and Matthew D.
2996                  Piggott},
2997  booktitle     = {SIAM International Meshing Roundtable Workshop 2022},
2998  editor        = {Trevor Robinson},
2999  month         = jan,
3000  address       = {Seattle, WA},
3001  pages         = {1--5},
3002  url           = {http://imr.sandia.gov/papers/imr31/2026_imr31RJ_Wallwork.pdf},
3003  year          = {2022},
3004  petsc_uses    = {DMPlex}
3005}
3006
3007@InProceedings{   timalsinaknepley2023,
3008  title         = {Tetrahedralization of a Hexahedral Mesh},
3009  author        = {Aman Timalsina and Matthew G. Knepley},
3010  booktitle     = {SIAM International Meshing Roundtable Workshop 2023},
3011  year          = {2023},
3012  petsc_uses    = {DMPlex}
3013}
3014
3015@Article{         farrellknepleywechsungmitchell2020,
3016  title         = {{PCPATCH}: software for the topological construction of multigrid relaxation
3017                  methods},
3018  author        = {Patrick E Farrell and Matthew G Knepley and Lawrence Mitchell and Florian
3019                  Wechsung},
3020  journal       = {ACM Transaction on Mathematical Software},
3021  eprint        = {http://arxiv.org/abs/1912.08516},
3022  volume        = {47},
3023  number        = {3},
3024  pages         = {1--22},
3025  year          = {2021},
3026  petsc_uses    = {KSP,DMPlex}
3027}
3028
3029@Article{         farrellmitchellscottwechsung2022,
3030  title         = {Robust multigrid methods for nearly incompressible elasticity using macro
3031                  elements},
3032  author        = {Patrick E Farrell and Lawrence Mitchell and L Ridgway Scott and Florian
3033                  Wechsung},
3034  journal       = {IMA Journal of Numerical Analysis},
3035  issn          = {0272-4979},
3036  doi           = {10.1093/imanum/drab083},
3037  url           = {https://doi.org/10.1093/imanum/drab083},
3038  year          = {2022},
3039  petsc_uses    = {KSP,DMPlex}
3040}
3041
3042@Misc{            firedrakeproject,
3043  title         = {{The {F}iredrake project}},
3044  author        = {David A Ham and Firedrake Team},
3045  url           = {http://firedrakeproject.org},
3046  year          = {2022},
3047  petsc_uses    = {KSP}
3048}
3049
3050@Article{         rathgeberhammitchelllangeluporinimcraeberceamarkallkelly2016,
3051  title         = {Firedrake: automating the finite element method by composing abstractions},
3052  author        = {Florian Rathgeber and David A Ham and Lawrence Mitchell and Michael Lange and
3053                  Fabio Luporini and Andrew TT McRae and Gheorghe-Teodor Bercea and Graham R Markall
3054                  and Paul HJ Kelly},
3055  journal       = {ACM Transactions on Mathematical Software (TOMS)},
3056  volume        = {43},
3057  number        = {3},
3058  pages         = {24},
3059  year          = {2016},
3060  petsc_uses    = {KSP}
3061}
3062
3063@Article{         mitchellmuller2016,
3064  title         = {High level implementation of geometric multigrid solvers for finite element
3065                  problems: Applications in atmospheric modelling},
3066  author        = {Lawrence Mitchell and Eike Hermann M{\"u}ller},
3067  journal       = {Journal of Computational Physics},
3068  volume        = {327},
3069  pages         = {1--18},
3070  year          = {2016},
3071  petsc_uses    = {KSP}
3072}
3073
3074@Article{         mcraeberceamitchellhamcotter2016,
3075  title         = {Automated generation and symbolic manipulation of tensor product finite
3076                  elements},
3077  author        = {Andrew TT McRae and Gheorghe-Teodor Bercea and Lawrence Mitchell and David A Ham
3078                  and Colin J Cotter},
3079  journal       = {SIAM Journal on Scientific Computing},
3080  volume        = {38},
3081  number        = {5},
3082  pages         = {S25--S47},
3083  year          = {2016},
3084  petsc_uses    = {KSP}
3085}
3086
3087@Article{         berceamcraehammitchellrathgebernardiluporinikelly2016,
3088  title         = {A structure-exploiting numbering algorithm for finite elements on extruded
3089                  meshes, and its performance evaluation in {Firedrake}},
3090  author        = {Gheorghe-Teodor Bercea and Andrew TT McRae and David A Ham and Lawrence Mitchell
3091                  and Florian Rathgeber and L. Nardi and Fabio Luporini and Paul HJ Kelly},
3092  journal       = {Geoscientific Model Development},
3093  volume        = {9},
3094  number        = {10},
3095  pages         = {3803--3815},
3096  doi           = {10.5194/gmd-9-3803-2016},
3097  year          = {2016},
3098  petsc_uses    = {KSP}
3099}
3100
3101@InProceedings{   markallrathgebermitchellloriantbertollihamkelly2013,
3102  author        = {Graham R. Markall and Florian Rathgeber and Lawrence Mitchell and Nicolas Loriant
3103                  and Carlo Bertolli and David A. Ham and Paul HJ Kelly},
3104  editor        = {Julian Martin Kunkel and Thomas Ludwig and Hans Werner Meuer},
3105  title         = {Performance-Portable Finite Element Assembly Using {PyOP2} and {FEniCS}},
3106  booktitle     = {Proceedings of 28th International Supercomputing Conference, ISC 2013},
3107  publisher     = {Springer Berlin Heidelberg},
3108  pages         = {279--289},
3109  isbn          = {978-3-642-38750-0},
3110  doi           = {10.1007/978-3-642-38750-0_21},
3111  year          = {2013},
3112  petsc_uses    = {KSP}
3113}
3114
3115@Article{         kirbymitchell2017,
3116  title         = {Solver composition across the {PDE}/linear algebra barrier},
3117  author        = {Robert C Kirby and Lawrence Mitchell},
3118  journal       = {arXiv preprint arXiv:1706.01346},
3119  year          = {2017},
3120  petsc_uses    = {KSP}
3121}
3122
3123@Article{         saibaba2012application,
3124  title         = {Application of hierarchical matrices to linear inverse problems in
3125                  geostatistics},
3126  author        = {Saibaba, Arvind Krishna and Ambikasaran, Sivaram and Yue Li, J and Kitanidis,
3127                  Peter K and Darve, Eric F},
3128  journal       = {Oil and Gas Science and Technology-Revue de l'IFP-Institut Francais du Petrole},
3129  volume        = {67},
3130  number        = {5},
3131  pages         = {857},
3132  year          = {2012},
3133  petsc_uses    = {KSP}
3134}
3135
3136@Article{         collignonkausmayfernandez14,
3137  author        = {Collignon, M. and Kaus, B. and May, D.A. and Fern\'andez, N.},
3138  title         = {Influences of surface processes on fold growth during {3-D} detachment folding},
3139  journal       = {Geochem Geophy Geosy},
3140  year          = {2014},
3141  petsc_uses    = {KSP}
3142}
3143
3144@Article{         fernandezkaus14,
3145  author        = {Fern\'andez, N. and Kaus, B.},
3146  title         = {Fold interaction and wavelength selection in {3D} models of multilayer detachment
3147                  folding},
3148  journal       = {Tectonophysics},
3149  year          = {2014},
3150  petsc_uses    = {KSP}
3151}
3152
3153@Article{         baumannkauspopov14,
3154  author        = {Baumann, T. and Kaus, B. J. P. and Popov, A.},
3155  title         = {Constraining effective rheology through parallel joint geodynamic inversion},
3156  journal       = {Tectonophysics},
3157  year          = {2014},
3158  petsc_uses    = {KSP}
3159}
3160
3161@Article{         lechmannschmalholzhetenyimaykaus14,
3162  author        = {Lechmann, S. M. and Schmalholz, S. M. and Hetenyi, G. and May, D. A. and Kaus, B.
3163                  J. P.},
3164  title         = {Quantifying the impact of mechanical layering and underthrusting on the dynamics
3165                  of the modern {India-Asia} collisional system with {3-D} numerical models},
3166  journal       = { Journal of Geophysical Research - Solid Earth},
3167  year          = {2014},
3168  petsc_uses    = {KSP}
3169}
3170
3171@InBook{          fernandezkaus14b,
3172  author        = {Fern\'andez N. and Kaus B.J.P.},
3173  title         = {Analytical and numerical investigation of {3D} multilayer detachment},
3174  booktitle     = {Mathematics of Planet Earth},
3175  editor        = {Pardo-Ig\'uzquiza E. and Guardiola-Albert C. and Heredia J. and Moreno-Merino L.
3176                  and Dur\'an J.J. and Vargas-Guzman J.A.},
3177  publisher     = {Springer},
3178  year          = {2014},
3179  petsc_uses    = {KSP}
3180}
3181
3182@Article{         hossein-hsueh-etal-2014a,
3183  author        = {Hossein, M.Z. and Hsueh, C.-J. and Bourdin, B. and Bhattacharya, K.},
3184  journal       = {J. Mech. Phys. Solids},
3185  pages         = {320--348},
3186  title         = {Effective toughness of heterogeneous media},
3187  volume        = {71},
3188  year          = {2014},
3189  petsc_uses    = {KSP}
3190}
3191
3192@Unpublished{     leon-baldelli-bourdin-2014a,
3193  author        = {Le\'{o}n Baldelli, A.A. and Bourdin, B.},
3194  month         = aug,
3195  note          = {Submitted.},
3196  title         = {On the asymptotic derivation of Winkler-type energies from {3D} elasticity},
3197  year          = {2014},
3198  petsc_uses    = {KSP}
3199}
3200
3201@Article{         leon-baldelli-babadjian-etal-2013a,
3202  author        = {Leòn-Baldelli, A. A. and Babadjian, J.-F. and Bourdin, B. and Henao, D. and
3203                  Maurini, C.},
3204  journal       = {J. Mech. Phys. Solids},
3205  pages         = {15-32},
3206  title         = {A Variational Model For Fracture And Delamination Of Thin Films},
3207  volume        = {70},
3208  year          = {2014},
3209  petsc_uses    = {KSP}
3210}
3211
3212@Article{         mesgarnejad-bourdin-etal-2014a,
3213  author        = {Mesgarnejad, A. and Bourdin, B. and Khonsari, M. M.},
3214  journal       = {Comp. Methods Appl. Mech. Engng.},
3215  title         = {Validation simulations for the variational approach to fracture},
3216  volume        = {Submitted},
3217  year          = {2014},
3218  petsc_uses    = {KSP}
3219}
3220
3221@InProceedings{   bourdin-chukwudozie-etal-2013a,
3222  author        = {Bourdin, B. and Chukwudozie, C. and Yoshioka, K.},
3223  booktitle     = {Proceedings of the 38th Workshop on Geothermal Reservoir Engineering Stanford
3224                  University, Stanford, CA},
3225  title         = {A Variational Approach To The Modeling And Numerical Simulation Of Hydraulic
3226                  Fracturing Under In-Situ Stresses},
3227  year          = {2013},
3228  petsc_uses    = {KSP}
3229}
3230
3231@Article{         maurini-bourdin-etal-2012a,
3232  author        = {Maurini, C. and Bourdin, B. and Gauthier, G. and Lazarus, V.},
3233  journal       = {Int. J. Fracture},
3234  number        = {1-2},
3235  pages         = {75-91},
3236  title         = {Crack patterns obtained by unidirectional drying of a colloidal suspension in a
3237                  capillary tube: experiments and numerical simulations using a two-dimensional
3238                  variational approach},
3239  volume        = {184},
3240  year          = {2013},
3241  petsc_uses    = {KSP}
3242}
3243
3244@Article{         mesgarnejad-bourdin-etal-2013a,
3245  author        = {Mesgarnejad, A. and Bourdin, B. and Khonsari, M.M.},
3246  journal       = {J. Mech. Phys Solids},
3247  number        = {11},
3248  pages         = {2360--2379},
3249  title         = {A variational approach to the fracture of brittle thin films under out of plane
3250                  loading},
3251  volume        = {61},
3252  year          = {2013},
3253  petsc_uses    = {KSP}
3254}
3255
3256@InProceedings{   bourdin-chukwudozie-etal-2012a,
3257  author        = {Bourdin, B. and Chukwudozie, C. and Yoshioka, K.},
3258  booktitle     = {Proceedings of the 2012 SPE Annual Technical Conference and Exhibition},
3259  title         = {A Variational Approach to the Numerical Simulation of Hydraulic Fracturing},
3260  volume        = {SPE 159154},
3261  year          = {2012},
3262  petsc_uses    = {KSP}
3263}
3264
3265@Article{         millerdawsonfarthinghouhuangkeeskelleylangtangen13,
3266  author        = {Cass T. Miller and Clint N. Dawson and Matthew W. Farthing and Thomas Y. Hou and
3267                  Jingfang Huang and Christopher E. Kees and C.T. Kelley and Hans Petter
3268                  Langtangen},
3269  title         = {Numerical simulation of water resources problems: Models, methods, and trends},
3270  journal       = {Advances in Water Resources},
3271  volume        = {51},
3272  number        = {0},
3273  pages         = {405--437},
3274  year          = {2013},
3275  note          = {35th Year Anniversary Issue},
3276  issn          = {0309-1708},
3277  doi           = {10.1016/j.advwatres.2012.05.008},
3278  petsc_uses    = {KSP}
3279}
3280
3281@Article{         scheltingamyerspietrzak10,
3282  author        = {Terwisscha van Scheltinga, ArjenD. and Myers, PaulG. and Pietrzak, JulieD.},
3283  title         = {A finite element sea ice model of the {C}anadian Arctic Archipelago},
3284  journal       = {Ocean Dynamics},
3285  volume        = {60},
3286  number        = {6},
3287  pages         = {1539-1558},
3288  year          = {2010},
3289  issn          = {1616-7341},
3290  doi           = {10.1007/s10236-010-0356-5},
3291  publisher     = {Springer-Verlag},
3292  keywords      = {Ocean modelling; Unstructured meshes; Sea ice; Arctic Ocean; Canadian Arctic
3293                  Archipelago; Freshwater flux},
3294  language      = {English},
3295  petsc_uses    = {KSP}
3296}
3297
3298@InBook{          destefanoandreasisecchi13,
3299  author        = {M. De Stefano and F. Golfré Andreasi and A. Secchi},
3300  title         = {Towards preconditioned nonlinear conjugate gradients for generic geophysical
3301                  inversions},
3302  booktitle     = {SEG Technical Program Expanded Abstracts 2013},
3303  chapter       = {626},
3304  pages         = {3226--3230},
3305  doi           = {10.1190/segam2013-0244.1},
3306  url           = {http://library.seg.org/doi/abs/10.1190/segam2013-0244.1},
3307  eprint        = {http://library.seg.org/doi/pdf/10.1190/segam2013-0244.1},
3308  petsc_uses    = {KSP}
3309}
3310
3311@Article{         pourhiethuetmaylabroussejolivet12,
3312  author        = {L. {Le Pourhiet} and B. Huet and D. A. May and L. Labrousse and L. Jolivet},
3313  title         = {Kinematic interpretation of the {3D} shapes of metamorphic core complexes},
3314  journal       = {Geochem. Geophys. Geosyst.},
3315  volume        = {13},
3316  pages         = {Q09002},
3317  year          = {2012},
3318  doi           = {10.1029/2012GC004271},
3319  petsc_uses    = {KSP}
3320}
3321
3322@Article{         lechmannmaykausschmalholz11,
3323  author        = {S. M. Lechmann and D. A. May and B. J. P. Kaus and S. M. Schmalholz},
3324  title         = {Comparing thin-sheet models with {3-D} multilayer models for continental
3325                  collision},
3326  journal       = {Geophysical Journal International},
3327  volume        = {187},
3328  pages         = {10--33},
3329  year          = {2011},
3330  doi           = {10.1111/j.1365-246X.2011.05164.x},
3331  petsc_uses    = {KSP}
3332}
3333
3334@Article{         stefano:r69,
3335  author        = {Michele De Stefano and Federico Golfr\'{e} Andreasi and Simone Re and Massimo
3336                  Virgilio and Fred F. Snyder},
3337  collaboration = {},
3338  title         = {Multiple-domain, simultaneous joint inversion of geophysical data with
3339                  application to subsalt imaging},
3340  publisher     = {SEG},
3341  year          = {2011},
3342  journal       = {Geophysics},
3343  volume        = {76},
3344  number        = {3},
3345  pages         = {R69-R80},
3346  keywords      = {geophysical image processing; inverse problems; seismology},
3347  doi           = {10.1190/1.3554652},
3348  petsc_uses    = {KSP}
3349}
3350
3351@Article{         stefano:806,
3352  author        = {Michele De Stefano},
3353  collaboration = {},
3354  title         = {Simultaneous joint inversion for susceptibility and velocity},
3355  publisher     = {SEG},
3356  year          = {2011},
3357  journal       = {SEG Technical Program Expanded Abstracts},
3358  volume        = {30},
3359  number        = {1},
3360  pages         = {806-810},
3361  keywords      = {3D; imaging; inversion; magnetics; multiparameter},
3362  doi           = {10.1190/1.3628198},
3363  petsc_uses    = {KSP}
3364}
3365
3366@Article{         mayknepley2011,
3367  author        = {Dave A. May and Matthew G. Knepley},
3368  title         = {Optimal, scalable forward models for computing gravity anomalies},
3369  journal       = {Geophysical Journal International},
3370  volume        = {187},
3371  number        = {1},
3372  pages         = {161--177},
3373  url           = {http://arxiv.org/abs/1107.5951},
3374  note          = {\url{http://arxiv.org/abs/1107.5951}},
3375  year          = {2011},
3376  petsc_uses    = {KSP}
3377}
3378
3379@InProceedings{   bourdinknepleymaurini2010,
3380  author        = {Blaise Bourdin and Matthew G. Knepley and C. Maurini},
3381  title         = {Numerical Simulation of Reservoir Stimulation - A Variational Approach},
3382  booktitle     = {Proceedings of the 37th Stanford Geothermal Workshop},
3383  url           = {https://es.stanford.edu/ERE/pdf/IGAstandard/SGW/2011/bourdin.pdf},
3384  note          = {\url{https://es.stanford.edu/ERE/pdf/IGAstandard/SGW/2011/bourdin.pdf}},
3385  address       = {Stanford, CA},
3386  year          = {2010},
3387  petsc_uses    = {KSP}
3388}
3389
3390@InProceedings{   bourdinknepleymaurini2010b,
3391  author        = {Blaise Bourdin and Matthew G. Knepley and C. Maurini},
3392  title         = {Secondary Thermal Cracks in {EGS}: a Variational Approach},
3393  booktitle     = {Proceedings of the 34th Annual Meeting of the Geothermal Resources Council},
3394  url           = {https://www.math.lsu.edu/~bourdin/Biography_assets/Bourdin-Knepley-Maurini-2010.pdf},
3395  note          = {\url{https://www.math.lsu.edu/~bourdin/Biography_assets/Bourdin-Knepley-Maurini-2010.pdf}},
3396  address       = {Sacramento, CA},
3397  year          = {2010},
3398  petsc_uses    = {KSP}
3399}
3400
3401@Article{         chen2007full,
3402  title         = {Full {3D} tomography for the crustal structure of the {Los Angeles} region},
3403  author        = {Chen, P. and Zhao, L. and Jordan, T.H.},
3404  journal       = {Bulletin of the Seismological Society of America},
3405  volume        = {97},
3406  number        = {4},
3407  pages         = {1094},
3408  year          = {2007},
3409  publisher     = {Seismol Soc America},
3410  petsc_uses    = {KSP}
3411}
3412
3413@Article{         brown2010ens,
3414  author        = {Brown, Jed},
3415  affiliation   = {Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie (VAW), ETH Zürich,
3416                  Zürich, Switzerland},
3417  title         = {Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in {3D}},
3418  journal       = {Journal of Scientific Computing},
3419  publisher     = {Springer Netherlands},
3420  issn          = {0885-7474},
3421  keyword       = {Mathematics and Statistics},
3422  pages         = {48-63},
3423  volume        = {45},
3424  issue         = {1},
3425  doi           = {10.1007/s10915-010-9396-8},
3426  year          = {2010},
3427  petsc_uses    = {KSP}
3428}
3429
3430@PhDThesis{       brown2011,
3431  title         = {Computational methods for ice flow simulation},
3432  author        = {Jed Brown},
3433  school        = {ETH Z{\"u}rich},
3434  year          = {2011},
3435  petsc_uses    = {KSP}
3436}
3437
3438@Article{         brown2013tmeice,
3439  title         = {Achieving textbook multigrid efficiency for hydrostatic ice flow},
3440  author        = {Jed Brown and Barry F. Smith and Aron Ahmadia},
3441  journal       = {SIAM Journal on Scientific Computing},
3442  volume        = {35},
3443  number        = {2},
3444  year          = {2013},
3445  pages         = {359--375},
3446  doi           = {10.1137/110834512},
3447  note          = {Also preprint ANL/MCS-P743-1298},
3448  petsc_uses    = {KSP}
3449}
3450
3451@InProceedings{   brown2013quasinewton,
3452  author        = {Jed Brown and Peter Brune},
3453  title         = {Low-rank quasi-{N}ewton updates for robust {J}acobian lagging in {N}ewton-type
3454                  methods},
3455  year          = {2013},
3456  booktitle     = {International Conference on Mathematics and Computational Methods Applied to
3457                  Nuclear Science and Engineering},
3458  pages         = {2554--2565},
3459  petsc_uses    = {KSP}
3460}
3461
3462@Misc{            spiegelman-siampp10,
3463  title         = {Block Preconditioners and Advanced Software for Multiphysics Problems in Solid
3464                  Earth Geodynamics},
3465  author        = {Marc Spiegelman},
3466  note          = {presentation at the 2010 SIAM Conference on Parallel Processing for Scientific
3467                  Computing},
3468  year          = {2010},
3469  petsc_uses    = {KSP}
3470}
3471
3472@Article{         schauer2011a,
3473  author        = {Marco Schauer and Sabine Langer and Jose E. Roman and Enrique S.
3474                  Quintana-Ort\'{\i}},
3475  title         = {Large scale simulation of wave propagation in soils interacting with structures
3476                  using {FEM} and {SBFEM}},
3477  journal       = {Journal of Computational Acoustics},
3478  volume        = {19},
3479  number        = {1},
3480  pages         = {75--93},
3481  year          = {2011},
3482  doi           = {10.1142/S0218396X11004316},
3483  petsc_uses    = {KSP}
3484}
3485
3486@Misc{            bsa2010,
3487  author        = {J. Brown and B. Smith and A. Ahmadia},
3488  title         = {Achieving textbook multigrid efficiency for hydrostatic ice sheet flow},
3489  note          = {submitted to SIAM Journal on Scientific Computing},
3490  year          = {2012},
3491  petsc_uses    = {KSP}
3492}
3493
3494@Article{         kellerkatz2016,
3495  title         = {The Role of Volatiles in Reactive Melt Transport in the Asthenosphere},
3496  author        = {Tobias Keller and Richard F. Katz},
3497  journal       = {Journal of Petrology},
3498  doi           = {10.1093/petrology/egw030},
3499  url           = {http://petrology.oxfordjournals.org/content/early/2016/07/15/petrology.egw030.abstract},
3500  eprint        = {http://petrology.oxfordjournals.org/content/early/2016/07/15/petrology.egw030.full.pdf+html},
3501  year          = {2016},
3502  petsc_uses    = {KSP}
3503}
3504
3505@Article{         weatherley12,
3506  author        = {S. Weatherley and R.F. Katz},
3507  title         = {Melting and channelized magmatic flow in chemically heterogeneous, upwelling
3508                  mantle},
3509  journal       = {Geochem.\ Geophys.\ Geosys.},
3510  year          = {2012},
3511  volume        = {13},
3512  number        = {1},
3513  pages         = {Q0AC18},
3514  doi           = {10.1029/2011GC003989},
3515  petsc_uses    = {KSP}
3516}
3517
3518@Article{         katz12,
3519  author        = {R.F. Katz and S. Weatherley},
3520  title         = {Consequences of mantle heterogeneity for melt extraction at mid-ocean ridges},
3521  journal       = {Earth\ Planet.\ Sci.\ Lett.},
3522  year          = {2012},
3523  doi           = {10.1016/j.epsl.2012.04.042},
3524  volume        = {335-336},
3525  pages         = {226-237},
3526  petsc_uses    = {KSP}
3527}
3528
3529@Article{         katz10b,
3530  author        = {R.F. Katz},
3531  title         = {Porosity-driven convection and asymmetry beneath mid-ocean ridges},
3532  journal       = {Geochem.\ Geophys.\ Geosys.},
3533  volume        = {10},
3534  number        = {Q0AC07},
3535  year          = {2010},
3536  doi           = {10.1029/2010GC003282},
3537  petsc_uses    = {KSP}
3538}
3539
3540@Article{         england10,
3541  author        = {P.C. England and R.F. Katz},
3542  title         = {Melting above the anhydrous solidus controls the location of volcanic arcs},
3543  journal       = {Nature},
3544  year          = {2010},
3545  volume        = {467},
3546  pages         = {700--703},
3547  doi           = {10.1038/nature09417},
3548  petsc_uses    = {KSP}
3549}
3550
3551@Article{         weatherley10,
3552  author        = {S. Weatherley and R.F. Katz},
3553  title         = {Plate-Driven Mantle Dynamics and Global Patterns of Mid-Ocean Ridge Bathymetry},
3554  journal       = {Geochem.\ Geophys.\ Geosys.},
3555  year          = {2010},
3556  volume        = {11},
3557  number        = {10},
3558  doi           = {10.1029/2010GC003192},
3559  petsc_uses    = {KSP}
3560}
3561
3562@Article{         katz10,
3563  author        = {R.F. Katz and M.G. Worster},
3564  title         = {The stability of ice-sheet grounding lines},
3565  journal       = {Proc.~Roy.~Soc.~A},
3566  year          = {2010},
3567  volume        = {466},
3568  pages         = {1597--1620},
3569  doi           = {10.1098/rspa.2009.0434},
3570  url           = {http://www.earth.ox.ac.uk/~richardk/publications/Katz_Worster_PRSA10.pdf},
3571  petsc_uses    = {KSP}
3572}
3573
3574@Article{         kyrkesmith2013stress,
3575  title         = {Stress balances of ice streams in a vertically integrated, higher-order
3576                  formulation},
3577  author        = {Kyrke-Smith, T.M. and Katz, R.F. and Fowler, A.C.},
3578  journal       = {Journal of Glaciology},
3579  volume        = {59},
3580  number        = {215},
3581  pages         = {449--466},
3582  year          = {2013},
3583  doi           = {10.3189/2013JoG12J140},
3584  petsc_uses    = {KSP}
3585}
3586
3587@Article{         takei2013anisotropy1,
3588  author        = {Takei Y. and R.F. Katz},
3589  title         = {{Consequences of viscous anisotropy in a deforming, two-phase aggregate: 1.
3590                  Governing equations and linearised analysis}},
3591  journal       = {J.\ Fluid\ Mech.},
3592  year          = {2013},
3593  volume        = {734},
3594  pages         = {424-455},
3595  doi           = {10.1017/jfm.2013.482},
3596  petsc_uses    = {KSP}
3597}
3598
3599@Article{         katz2013anisotropy2,
3600  author        = {Katz R.F. and Y. Takei},
3601  title         = {{Consequences of viscous anisotropy in a deforming, two-phase aggregate: 2.
3602                  Numerical solutions of the full equations}},
3603  journal       = {J.\ Fluid\ Mech.},
3604  year          = {2013},
3605  volume        = {734},
3606  pages         = {456-485},
3607  doi           = {10.1017/jfm.2013.483},
3608  petsc_uses    = {KSP}
3609}
3610
3611@Article{         kyrke-smith2014subglacial,
3612  author        = {Kyrke-Smith, T.M. and R.F. Katz and A.C. Fowler},
3613  title         = {Subglacial hydrology and the formation of ice streams},
3614  journal       = {Proc.\ Roy.\ Soc.\ A},
3615  year          = {2014},
3616  volume        = {470},
3617  number        = {2161},
3618  doi           = {10.1098/rspa.2013.0494},
3619  petsc_uses    = {KSP}
3620}
3621
3622@Article{         spiegelmanwilsonvankeken2013,
3623  author        = {{Spiegelman}, M.~W. and {Wilson}, C.~R. and {Van Keken}, P.~E. },
3624  title         = {{TerraFERMA: The Transparent Finite Element Rapid Model Assembler for
3625                  multi-physics problems in the solid Earth sciences}},
3626  journal       = {AGU Fall Meeting Abstracts},
3627  keywords      = {0560 COMPUTATIONAL GEOPHYSICS Numerical solutions, 1902 INFORMATICS Community
3628                  modeling frameworks, 1906 INFORMATICS Computational models, algorithms},
3629  year          = {2013},
3630  month         = dec,
3631  pages         = {A2208},
3632  adsurl        = {http://adsabs.harvard.edu/abs/2013AGUFMDI31A2208S},
3633  adsnote       = {Provided by the SAO/NASA Astrophysics Data System},
3634  petsc_uses    = {KSP}
3635}
3636
3637@Article{         bueler2009shallow,
3638  title         = {{Shallow shelf approximation as a ``sliding law'' in a thermomechanically coupled
3639                  ice sheet model}},
3640  author        = {Ed Bueler and Jed Brown},
3641  journal       = {Journal of Geophysical Research-Earth Surface},
3642  volume        = {114},
3643  number        = {F3},
3644  pages         = {F03008},
3645  year          = {2009},
3646  publisher     = {American Geophysical Union},
3647  petsc_uses    = {KSP}
3648}
3649
3650@Article{         bueler2007est,
3651  title         = {{Exact solutions to the thermomechanically coupled shallow ice approximation:
3652                  effective tools for verification}},
3653  author        = {Ed Bueler and Jed Brown and Craig Lingle},
3654  journal       = {J. Glaciol},
3655  volume        = {53},
3656  pages         = {499--516},
3657  year          = {2007},
3658  petsc_uses    = {KSP}
3659}
3660
3661@Article{         bueler2007fcv,
3662  title         = {{Fast computation of a viscoelastic deformable Earth model for ice-sheet
3663                  simulations}},
3664  author        = {Ed Bueler and Craig S. Lingle and Jed Brown},
3665  journal       = {Ann. Glaciol},
3666  volume        = {46},
3667  pages         = {97--105},
3668  year          = {2007},
3669  petsc_uses    = {KSP}
3670}
3671
3672@Article{         bueler2005iso,
3673  author        = {Ed Bueler and Craig S. Lingle and Jed A. Kallen-Brown and David N. Covey and
3674                  Latrice N. Bowman},
3675  title         = {Exact solutions and numerical verification for isothermal ice sheets},
3676  journal       = {J. Glaciol.},
3677  volume        = {51},
3678  number        = {173},
3679  pages         = {291--306},
3680  year          = {2005},
3681  petsc_uses    = {KSP}
3682}
3683
3684@Article{         chao2008programming,
3685  title         = {{Programming on Numerical Simulation of Tsunami with PETSc and FEPG}},
3686  author        = {Chao-fan, Z. and Yao-lin, S.},
3687  journal       = {Earthquake},
3688  year          = {2008},
3689  petsc_uses    = {KSP}
3690}
3691
3692@Article{         marti2014,
3693  author        = {Marti, P. and Schaeffer, N. and Hollerbach, R. and Cébron, D. and Nore, C. and
3694                  Luddens, F. and Guermond, J.-L. and Aubert, J. and Takehiro, S. and Sasaki, Y. and
3695                  Hayashi, Y.-Y. and Simitev, R. and Busse, F. and Vantieghem, S. and Jackson, A.},
3696  title         = {Full sphere hydrodynamic and dynamo benchmarks},
3697  journal       = {Geophysical Journal International},
3698  year          = {2014},
3699  doi           = {10.1093/gji/ggt518},
3700  url           = {http://gji.oxfordjournals.org/content/early/2014/01/26/gji.ggt518.abstract},
3701  petsc_uses    = {KSP}
3702}
3703
3704@InProceedings{   ganfulukyangxueyang2013,
3705  author        = {Gan, Lin and Fu, Haohuan and Luk, Wayne and Yang, Chao and Xue, Wei and Yang,
3706                  Guangwen},
3707  title         = {Global Atmospheric Simulation on a Reconfigurable Platform},
3708  booktitle     = {Proceedings of the 2013 IEEE 21st Annual International Symposium on
3709                  Field-Programmable Custom Computing Machines},
3710  series        = {FCCM '13},
3711  pages         = {230--},
3712  year          = {2013},
3713  isbn          = {978-0-7695-4969-9},
3714  doi           = {10.1109/FCCM.2013.26},
3715  acmid         = {2495688},
3716  publisher     = {IEEE Computer Society},
3717  petsc_uses    = {KSP}
3718}
3719
3720@InProceedings{   ganfuchaolukxuemencerhuangyang2014,
3721  author        = {Lin Gan and Haohuan Fu and Chao Yang and Luk, W. and Wei Xue and Mencer, O. and
3722                  Xiaomeng Huang and Guangwen Yang},
3723  booktitle     = {Field Programmable Logic and Applications (FPL), 2014 24th International
3724                  Conference on},
3725  title         = {A highly-efficient and green data flow engine for solving {E}uler atmospheric
3726                  equations},
3727  year          = {2014},
3728  month         = sep,
3729  pages         = {1-6},
3730  doi           = {10.1109/FPL.2014.6927462},
3731  petsc_uses    = {KSP}
3732}
3733
3734%Aagaard, B., Williams, C., Knepley, M. (2011). PyLith: A finite-element code for modeling quasi-static and dynamic crustal deformation (abstract), EarthScope National Meeting, Austin, Texas, May 17–20.
3735%Aagaard, B., Williams, C., and Knepley, M. (2011). PyLith: A finite-element code for modeling quasi-static and dynamic crustal deformation (abstract), Southern California Earthquake Center Annual Meeting, Palm Springs, California, September 11–14.
3736%Aagaard, B., Williams, C., and Knepley, M. (2012). PyLith: A Finite-Element Code for Modeling Quasi-Static and Dynamic Crustal Deformation (abstract), Seismological Society of America Annual Meeting, San Diego, California, April 17-19.
3737@Article{         aagaardknepleywilliams13,
3738  title         = {A Domain Decomposition Approach to Implementing Fault Slip in Finite-Element
3739                  Models of Quasi-static and Dynamic Crustal Deformation},
3740  author        = {Brad T. Aagaard and Matthew G. Knepley and Charles A. Williams},
3741  journal       = {Journal of Geophysical Research: Solid Earth},
3742  volume        = {118},
3743  number        = {6},
3744  pages         = {3059--3079},
3745  issn          = {2169-9356},
3746  doi           = {10.1002/jgrb.50217},
3747  keywords      = {fault slip, finite-element modeling, crustal deformation, earthquake physics},
3748  year          = {2013},
3749  petsc_uses    = {KSP}
3750}
3751
3752@InProceedings{   aagaardknepleywilliams11,
3753  author        = {Charles A. Williams and Brad Aagaard and Matthew G. Knepley},
3754  title         = {{PyLith}: A Finite-Element Code for Modeling Quasi-Static and Dynamic Crustal
3755                  Deformation},
3756  booktitle     = {Eos Transactions of the AGU},
3757  organization  = {American Geophysical Union},
3758  note          = {Fall Meeting Supplemental, Abstract DI14A-08},
3759  year          = {2011},
3760  petsc_uses    = {KSP}
3761}
3762
3763@InProceedings{   knepley10b,
3764  author        = {Matthew G. {Knepley}},
3765  title         = {Acceleration of low order finite element computation with {GPUs} (Invited)},
3766  booktitle     = {Eos Transactions of the AGU},
3767  organization  = {American Geophysical Union},
3768  note          = {Fall Meeting Supplemental, Abstract IN44A-01},
3769  year          = {2010},
3770  petsc_uses    = {KSP}
3771}
3772
3773@InProceedings{   mayknepleygurnis09,
3774  author        = {Dave A. May and Matthew G. Knepley and Michael Gurnis},
3775  title         = {{CitcomSX}: Robust preconditioning in {CitcomS} via {PETSc}},
3776  booktitle     = {Eos Transactions of the AGU},
3777  organization  = {American Geophysical Union},
3778  note          = {Fall Meeting Supplemental, Abstract P31A-A1241},
3779  year          = {2009},
3780  petsc_uses    = {KSP}
3781}
3782
3783@InProceedings{   yuenknepleyerlebacherwright09,
3784  author        = {David A. Yuen and Matthew G. Knepley and Gordon Erlebacher and Grady B. Wright},
3785  title         = {The Coming Role of {GPU} in Computational Geodynamics},
3786  booktitle     = {Eos Transactions of the AGU},
3787  organization  = {American Geophysical Union},
3788  note          = {Fall Meeting Supplemental, Abstract DI22A-05},
3789  year          = {2009},
3790  petsc_uses    = {KSP}
3791}
3792
3793@InProceedings{   aagaardknepleywilliams08,
3794  author        = {Brad Aagaard and Charles A. Williams and Matthew G. Knepley},
3795  title         = {{PyLith}: A Finite-Element Code for Modeling Quasi-Static and Dynamic Crustal
3796                  Deformation},
3797  booktitle     = {Eos Transactions of the AGU},
3798  organization  = {American Geophysical Union},
3799  volume        = {89},
3800  number        = {53},
3801  note          = {Fall Meeting Supplemental, Abstract T41A-1925},
3802  year          = {2007},
3803  petsc_uses    = {KSP}
3804}
3805
3806@InProceedings{   aagaardknepleywilliams07,
3807  author        = {Charles A. Williams and Brad Aagaard and Matthew G. Knepley},
3808  title         = {{PyLith}: A Finite-Element Code for Modeling Quasi-Static and Dynamic Crustal
3809                  Deformation},
3810  booktitle     = {Eos Transactions of the AGU},
3811  organization  = {American Geophysical Union},
3812  volume        = {88},
3813  number        = {52},
3814  note          = {Fall Meeting Supplemental, Abstract T21B-1798},
3815  year          = {2007},
3816  petsc_uses    = {KSP}
3817}
3818
3819@InProceedings{   aagaardknepleywilliams05,
3820  author        = {Charles A. Williams and Brad Aagaard and Matthew G. Knepley},
3821  title         = {Development of software for studying earthquakes across multiple spatial and
3822                  temporal scales by coupling quasi-static and dynamic simulations},
3823  booktitle     = {Eos Transactions of the AGU},
3824  organization  = {American Geophysical Union},
3825  volume        = {86},
3826  number        = {52},
3827  note          = {Fall Meeting Supplemental, Abstract S53A-1072},
3828  year          = {2005},
3829  petsc_uses    = {KSP}
3830}
3831
3832@InProceedings{   williamsgablehagermeadeaagaardknepley08,
3833  author        = {Charles A. Williams and Carl Gable and Bradford H. Hager and Brendan Meade and
3834                  Brad Aagaard and Matthew G. Knepley},
3835  title         = {Modeling of Multiple Earthquake Cycles in {S}outhern {C}alifornia Using the {SCEC}
3836                  Community Fault Model},
3837  booktitle     = {Proceedings of Geosciences '08},
3838  address       = {Wellington, NZ},
3839  month         = nov,
3840  year          = {2008},
3841  petsc_uses    = {KSP}
3842}
3843
3844@TechReport{      zhang07,
3845  title         = {Two New Approaches in Solving the Nonlinear Shallow Water Equations for
3846                  Tsunamis},
3847  author        = {C. Zhang and M. G. Knepley and D. A. Yuen and Y. Shi},
3848  type          = {Preprint},
3849  number        = {ANL/MCS-P1459-0907},
3850  institution   = {ANL},
3851  month         = sep,
3852  year          = {2007},
3853  petsc_uses    = {KSP}
3854}
3855
3856@Article{         katz08b,
3857  author        = {Richard F. Katz},
3858  title         = {Magma dynamics with the enthalpy method: {B}enchmark solutions and magmatic
3859                  focusing at mid-ocean ridges},
3860  journal       = {J. Petrology},
3861  year          = {2008},
3862  volume        = {49},
3863  pages         = {2099--2121},
3864  doi           = {10.1093/petrology/egn058},
3865  petsc_uses    = {KSP}
3866}
3867
3868@Article{         hgrhkjvv2008,
3869  title         = {On preconditioning for a parallel solution of the {R}ichards equation},
3870  author        = {Michael Herbst and Swen Gottschalk and Martin Reissel and Horst Hardelauf and Roy
3871                  Kasteel and Matthieu Javaux and Jan Vanderborght and Harry Vereeckena},
3872  journal       = {Computers and Geosciences},
3873  volume        = {34},
3874  pages         = {1958--1963},
3875  year          = {2008},
3876  petsc_uses    = {KSP}
3877}
3878
3879@Article{         maymoresi2008,
3880  title         = {Preconditioned iterative methods for {Stokes} flow problems arising in
3881                  computational geodynamics},
3882  journal       = {Physics of the Earth and Planetary Interiors},
3883  volume        = {171},
3884  number        = {1-4},
3885  pages         = {33--47},
3886  year          = {2008},
3887  note          = {{R}ecent Advances in Computational Geodynamics: Theory, Numerics and
3888                  Applications},
3889  issn          = {0031-9201},
3890  doi           = {10.1016/j.pepi.2008.07.036},
3891  author        = {Dave A. May and Louis Moresi},
3892  keywords      = {Stokes flow, Krylov, Preconditioner, Schur complement, BFBt},
3893  petsc_uses    = {KSP}
3894}
3895
3896@Article{         kausmuhlhausmay2010,
3897  title         = {A stabilization algorithm for geodynamic numerical simulations with a free
3898                  surface},
3899  author        = {Boris JP Kaus and Hans M{\"u}hlhaus and Dave A May},
3900  journal       = {Physics of the Earth and Planetary Interiors},
3901  volume        = {181},
3902  number        = {1},
3903  pages         = {12--20},
3904  year          = {2010},
3905  petsc_uses    = {KSP}
3906}
3907
3908@Article{         duretzmaygeryatackley2011,
3909  title         = {Discretization errors and free surface stabilization in the finite difference and
3910                  marker-in-cell method for applied geodynamics: A numerical study},
3911  author        = {Thibault Duretz and David Alexander May and Taras V Gerya and Paul J Tackley},
3912  journal       = {Geochemistry, Geophysics, Geosystems},
3913  volume        = {12},
3914  number        = {7},
3915  year          = {2011},
3916  petsc_uses    = {KSP}
3917}
3918
3919@Article{         furuichimaytackley2011,
3920  title         = {Development of a {Stokes} flow solver robust to large viscosity jumps using a
3921                  {Schur} complement approach with mixed precision arithmetic},
3922  author        = {Mikito Furuichi and Dave A May and Paul J Tackley},
3923  journal       = {Journal of Computational Physics},
3924  volume        = {230},
3925  number        = {24},
3926  pages         = {8835--8851},
3927  year          = {2011},
3928  petsc_uses    = {KSP}
3929}
3930
3931@Article{         kellermaykaus2013,
3932  title         = {Numerical modelling of magma dynamics coupled to tectonic deformation of
3933                  lithosphere and crust},
3934  author        = {Tobias Keller and Dave A May and Boris JP Kaus},
3935  journal       = {Geophysical Journal International},
3936  volume        = {195},
3937  number        = {3},
3938  pages         = {1406--1442},
3939  year          = {2013},
3940  petsc_uses    = {KSP}
3941}
3942
3943@Article{         schellartfreemanstegmanmoresimay2007,
3944  title         = {Evolution and diversity of subduction zones controlled by slab width},
3945  author        = {WP Schellart and Justin Freeman and David R Stegman and Louis Moresi and David A
3946                  May},
3947  journal       = {Nature},
3948  volume        = {446},
3949  number        = {7133},
3950  pages         = {308--311},
3951  year          = {2007},
3952  petsc_uses    = {KSP}
3953}
3954
3955@Article{         cramerischmelinggolabekduretzorendtbuitermaykausgeryatackley2012,
3956  title         = {A comparison of numerical surface topography calculations in geodynamic
3957                  modelling: an evaluation of the sticky air method},
3958  author        = {F Crameri and H Schmeling and GJ Golabek and T Duretz and R Orendt and SJH Buiter
3959                  and David A May and Boris JP Kaus and Taras V Gerya and Paul J Tackley},
3960  journal       = {Geophysical Journal International},
3961  volume        = {189},
3962  number        = {1},
3963  pages         = {38--54},
3964  year          = {2012},
3965  petsc_uses    = {KSP}
3966}
3967
3968@Article{         stegmanfreemanschellartmoresimay2006,
3969  title         = {Influence of trench width on subduction hinge retreat rates in {3-D} models of slab
3970                  rollback},
3971  author        = {David R Stegman and Justin Freeman and WP Schellart and Louis Moresi and David A
3972                  May},
3973  journal       = {Geochemistry, Geophysics, Geosystems},
3974  volume        = {7},
3975  number        = {3},
3976  year          = {2006},
3977  petsc_uses    = {KSP}
3978}
3979
3980@InProceedings{   may2014ptatin,
3981  title         = {{pTatin3D}: {H}igh-performance methods for long-term lithospheric dynamics},
3982  author        = {Dave A May and Jed Brown and Laetitia {Le Pourhiet}},
3983  booktitle     = {Proceedings of {SC14}: The {International Conference for High Performance
3984                  Computing, Networking, Storage and Analysis}},
3985  organization  = {ACM},
3986  pages         = {274--284},
3987  year          = {2014},
3988  doi           = {10.1109/SC.2014.28},
3989  petsc_uses    = {KSP}
3990}
3991
3992@Article{         maybrownpourhiet2015,
3993  title         = {A scalable, matrix-free multigrid preconditioner for finite element
3994                  discretizations of heterogeneous {Stokes} flow},
3995  author        = {David A May and Jed Brown and Laetitia {Le Pourhiet}},
3996  journal       = {Computer Methods in Applied Mechanics and Engineering},
3997  volume        = {290},
3998  pages         = {496--523},
3999  year          = {2015},
4000  doi           = {10.1016/j.cma.2015.03.014},
4001  petsc_uses    = {KSP}
4002}
4003
4004@Article{         duretzmayyamato2016,
4005  title         = {A free surface capturing discretization for the staggered grid finite difference
4006                  scheme},
4007  author        = {Thibault Duretz and Dave A May and Philippe Yamato},
4008  journal       = {Geophysical Journal International},
4009  volume        = {204},
4010  number        = {3},
4011  pages         = {1518--1530},
4012  year          = {2016},
4013  petsc_uses    = {KSP}
4014}
4015
4016@Article{         rhebergenwellskatzwathen2014,
4017  author        = {Sander Rhebergen and Garth N. Wells and Richard F. Katz and Andrew J. Wathen},
4018  title         = {Analysis of block-preconditioners for models of coupled magma/mantle dynamics},
4019  journal       = {SIAM J. Sci. Comput.},
4020  volume        = {36},
4021  pages         = {A1960--A1977},
4022  year          = {2014},
4023  petsc_uses    = {KSP}
4024}
4025
4026@Article{         katz08a,
4027  author        = {R.F. Katz and M.G. Worster},
4028  title         = {Simulation of directional solidification, thermochemical convection, and chimney
4029                  formation in a {H}ele-{S}haw cell},
4030  journal       = {J. Comp. Phys.},
4031  volume        = {227},
4032  pages         = {9823-9840},
4033  year          = {2008},
4034  doi           = {10.1016/j.jcp.2008.06.039},
4035  petsc_uses    = {KSP}
4036}
4037
4038@Article{         aabg2007,
4039  author        = {A. Askan and V. Akcelik and J. Bielak and O. Ghattas},
4040  title         = {Full waveform inversion for seismic velocity and anelastic losses in
4041                  heterogeneous structures},
4042  journal       = {Bulletin of Seismological Society of America},
4043  year          = {2007},
4044  volume        = {97},
4045  pages         = {1990--2008},
4046  petsc_uses    = {KSP}
4047}
4048
4049@Article{         katz2006,
4050  author        = {Richard F. Katz and Marc Spiegelman and Benjamin Holtzman},
4051  title         = {The dynamics of melt and shear localization in partially molten aggregates},
4052  journal       = {Nature},
4053  year          = {2006},
4054  volume        = {442},
4055  pages         = {676--679},
4056  month         = aug,
4057  day           = {10},
4058  url           = {http://www.nature.com/nature/journal/v442/n7103/abs/nature05039.html},
4059  petsc_uses    = {KSP}
4060}
4061
4062@InProceedings{   mqrs2003,
4063  author        = {Roland Masson and Philippe Quandalle and Stephane Requena and Robert Scheichl},
4064  year          = {2003},
4065  title         = {Parallel Preconditioning for Sedimentary Basin Simulations},
4066  booktitle     = {Large-Scale Scientific Computing: 4th International Conference, LSSC 2003,
4067                  Sozopol, Bulgaria, June 4-8, 2003},
4068  petsc_uses    = {KSP}
4069}
4070
4071@InProceedings{   lichtner1,
4072  author        = {Chuan Lu and Peter C. Lichtner},
4073  year          = {2005},
4074  title         = {{PFLOTRAN}: Massively Parallel {3-D} Simulator for {CO2} Sequestration in
4075                  Geologic Media},
4076  booktitle     = {Fourth Annual Conference on Carbon Capture and Sequestration DOE/NETL},
4077  lab           = {LANL},
4078  petsc_uses    = {KSP}
4079}
4080
4081@Article{         hammondlichtnermills2014,
4082  title         = {Evaluating the Performance of Parallel Subsurface Simulators: An Illustrative
4083                  Example with {PFLOTRAN}},
4084  author        = {Glenn E. Hammond and Peter C. Lichtner and Richard Tran Mills},
4085  journal       = {Water Resources Research},
4086  volume        = {50},
4087  number        = {1},
4088  pages         = {208--228},
4089  doi           = {10.1002/2012WR013483},
4090  year          = {2014},
4091  petsc_uses    = {KSP}
4092}
4093
4094@Article{         smw2003,
4095  author        = {R. Scheichl and R. Masson and J. Wendebourg},
4096  title         = {Decoupling and Block Preconditioning for Sedimentary Basin Simulations},
4097  journal       = {Computational Geosciences},
4098  year          = {2003},
4099  volume        = {7},
4100  pages         = {295--318},
4101  url           = {http://www.maths.bath.ac.uk/MATHEMATICS/preprints.html},
4102  petsc_uses    = {KSP}
4103}
4104
4105@Article{         kees-miller-03,
4106  author        = {C. E. Kees and C.T. Miller and E.W. Jenkins and C.T. Kelley},
4107  title         = {Versatile multilevel Schwarz preconditioners for multiphase flow},
4108  journal       = {Computational Geosciences},
4109  year          = {2003},
4110  volume        = {7},
4111  pages         = {91--114},
4112  petsc_uses    = {KSP}
4113}
4114
4115@Article{         bk2003,
4116  author        = {JN Buur and T Kuehnel},
4117  title         = {Improving depth imaging by automated model updating},
4118  journal       = {The Leading Edge},
4119  year          = {2003},
4120  volume        = {22},
4121  pages         = {310-318},
4122  petsc_uses    = {KSP}
4123}
4124
4125@Article{         frederickbuffett2016,
4126  title         = {Submarine groundwater discharge as a possible formation mechanism for
4127                  permafrost-associated gas hydrate on the circum-Arctic continental shelf},
4128  author        = {Jennifer M. Frederick and Bruce A. Buffett},
4129  journal       = {Journal of Geophysical Research: Solid Earth},
4130  volume        = {121},
4131  number        = {3},
4132  pages         = {1383--1404},
4133  issn          = {2169-9356},
4134  doi           = {10.1002/2015JB012627},
4135  year          = {2016},
4136  petsc_uses    = {KSP}
4137}
4138
4139% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
4140% LiteralHTML:<font color="#FF0000">
4141% LiteralHTML:Simulation of the earth's mantle and crust is valuable to
4142% LiteralHTML:understanding earthquakes, volcanos, etc. PETSc has been used for a
4143% LiteralHTML:variety of these simulations.</p>
4144% LiteralHTML:</font>
4145% LiteralHTML:
4146@InProceedings{   appelbe1,
4147  author        = {B. Appelbe and D. May and S. Quenette and S. Tang and F. Wang and L. Moresi},
4148  year          = {2003},
4149  title         = {Mantle convection modeling with viscoelastic/brittle lithosphere: Numerical and
4150                  computational methodology},
4151  page          = {781},
4152  booktitle     = {Lecture Notes in Computer Science, volume 2659, part of the ICCS Conference
4153                  Proceedings},
4154  publisher     = {Springer-Verlag},
4155  url           = {http://vpac.org/VDT/SNARK/Presentations/RD0201-paper-20030602-ICCS03_ACES03_LNCS-mantle_convection_modelling.pdf},
4156  petsc_uses    = {KSP}
4157}
4158
4159% LiteralHTML:<a name="katz">
4160@InProceedings{   gd1,
4161  author        = {Guillaume Dumont and Michel Kern},
4162  title         = {Parallelization of a {3D} Seismic Migration Code with {PETSc}},
4163  year          = {1999},
4164  booktitle     = {Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific
4165                  Computing},
4166  petsc_uses    = {KSP}
4167}
4168
4169% LiteralHTML: <center><img  alt="" src="images/katz1.jpg">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img  alt="" src="images/katz3.jpg">
4170% LiteralHTML: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<img  alt="" src="images/katz2.jpg"></center></p>
4171% LiteralHTML:<font color="#FF0000">
4172% LiteralHTML: Figures from the work of Richard Katz
4173@PhDThesis{       katzthesis,
4174  author        = {R.F. Katz},
4175  title         = {The deep roots of volcanoes: models of magma dynamics with applications to
4176                  subduction zones},
4177  school        = {Columbia University},
4178  year          = {2005},
4179  url           = {http://www.ldeo.columbia.edu/\~{ }katz/thesis/Katz_Dissertation_Columbia05.pdf},
4180  petsc_uses    = {KSP}
4181}
4182
4183@InCollection{    knepleykatzsmith06,
4184  author        = {Knepley, Matthew G. and Katz, Richard F. and Smith, Barry},
4185  affiliation   = {Argonne National Laboratory Mathematics and Computer Science Division Argonne IL
4186                  USA},
4187  title         = {Developing a Geodynamics Simulator with {PETSc}},
4188  booktitle     = {Numerical Solution of Partial Differential Equations on Parallel Computers},
4189  series        = {Lecture Notes in Computational Science and Engineering},
4190  editor        = {Bruaset, Are Magnus and Tveito, Aslak},
4191  publisher     = {Springer Berlin Heidelberg},
4192  isbn          = {978-3-540-31619-0},
4193  keyword       = {Mathematics and Statistics},
4194  pages         = {413-438},
4195  volume        = {51},
4196  doi           = {10.1007/3-540-31619-1_12},
4197  year          = {2006},
4198  petsc_uses    = {KSP}
4199}
4200
4201@Article{         katz04,
4202  author        = {Richard F. Katz and Marc Spiegelman and S.M. Carbotte},
4203  title         = {Ridge migration, asthenospheric flow and the origin of magmatic segmentation in
4204                  the global mid-ocean ridge system},
4205  journal       = {Geophys.\ Res.\ Letts.},
4206  year          = {2004},
4207  volume        = {31},
4208  pages         = {L15605},
4209  petsc_uses    = {KSP}
4210}
4211
4212@Article{         katz07,
4213  author        = {Richard F. Katz and Matthew G. Knepley and Barry Smith and Marc Spiegelman and
4214                  Ethan Coon},
4215  title         = {Numerical simulation of geodynamic processes with the {Portable Extensible
4216                  Toolkit for Scientific Computation}},
4217  journal       = {Phys. Earth Planet. In.},
4218  volume        = {163},
4219  pages         = {52--68},
4220  year          = {2007},
4221  petsc_uses    = {KSP}
4222}
4223
4224@Article{         williams2006development,
4225  title         = {{Development of a package for modeling stress in the lithosphere}},
4226  author        = {Williams, CA},
4227  journal       = {Eos Trans. AGU},
4228  volume        = {87},
4229  pages         = {36},
4230  year          = {2006},
4231  petsc_uses    = {KSP}
4232}
4233
4234@Article{         goverswortel05,
4235  author        = {R. Govers and M.J.R. Wortel},
4236  title         = {Lithosphere tearing at STEP faults: response to edges of subduction zones},
4237  journal       = {Earth and Planetary Science Letters},
4238  volume        = {236/1-2},
4239  pages         = {505-523},
4240  year          = {2005},
4241  petsc_uses    = {KSP}
4242}
4243
4244@InProceedings{   snark2,
4245  author        = {B. Appelbe and D. May and S. Quenette and S. Tang and F. Wang and L. Moresi},
4246  year          = {2002},
4247  title         = {Towards Rapid Geoscience Model Development - The {Snark} Project},
4248  booktitle     = {Proceedings of 3rd ACES (APEC Cooperation for Earthquake Simulation) Workshop},
4249  petsc_uses    = {KSP}
4250}
4251
4252@Article{         snark1,
4253  author        = {Bill Appelbe and David May and Louis Moresi and Steve Quenette and Siew-Chiang
4254                  Tan and Feng Wang},
4255  title         = {Snark - A Reusable Framwork for Geoscience Computational Models},
4256  journal       = {Submitted to Pure and Applied Geosciences},
4257  petsc_uses    = {KSP}
4258}
4259
4260@InProceedings{   earthquake2003,
4261  author        = {Volkan Akcelik and Jacobo Bielak and George Biros and Ioannis Epanomeritakis and
4262                  Antonio Fernandez and Omar Ghattas and Eui Joong Kim and David O'Hallaron and
4263                  Tiankai Tu},
4264  year          = {2003},
4265  title         = {High Resolution Forward and Inverse Earthquake Modeling on Terascale Computers},
4266  booktitle     = {Proceedings of SC2003},
4267  note          = {A winner of the Gordon Bell Prize for special achievement at SC2003},
4268  petsc_uses    = {KSP}
4269}
4270
4271@InProceedings{   stefano12,
4272  author        = {Michele De Stefano},
4273  title         = {Simultaneous Joint Inversion of Refraction Tomography and Magnetic Data},
4274  booktitle     = {PIERS Proceedings},
4275  month         = aug,
4276  address       = {Moscow, RUSSIA},
4277  pages         = {491--495},
4278  year          = {2012},
4279  petsc_uses    = {KSP}
4280}
4281
4282%http://www.piers.org/piersproceedings/download.php?file=cGllcnMyMDEyTW9zY293fDJBN18wNDkxLnBkZnwxMjAzMTUwNDE2MDY=
4283
4284% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
4285% LiteralHTML: <center><img alt=""
4286% LiteralHTML: src="images/ocean.jpg"></center></p>
4287@Article{         khatiwala07,
4288  author        = {Khatiwala, S.},
4289  title         = {A computational framework for simulation of biogeochemical tracers in the ocean},
4290  journal       = {Glob. Biogeochem. Cycles},
4291  volume        = {21},
4292  doi           = {10.1029/2007GB002923},
4293  year          = {2007},
4294  url           = { http://www.ldeo.columbia.edu/\~{ }spk/Papers/KhatiwalaMatrixBiogeochemGBC07.pdf}
4295}
4296
4297@Article{         dks2004,
4298  author        = {Sergey Danilov, Gennady Kivman and Jens Schroeter},
4299  journal       = {Ocean Modelling},
4300  year          = {2004},
4301  volume        = {6(2)},
4302  pages         = {125-150},
4303  title         = {A finite-element Ocean Model: Principles and Evaluation},
4304  url           = {http://www.sciencedirect.com/science?_ob=IssueURL&_tockey=%23TOC%236214%232004%23999939997%231%23FLA%23Volume_6,_Issue_2,_Pages_101-190_(2004)&_auth=y&view=c&_acct=C000007278&_version=1&_urlVersion=0&_userid=97338&md5=c3a50a31c599d8d38c8ce1f29117f267},
4305  petsc_uses    = {KSP}
4306}
4307
4308@Article{         danilov1,
4309  author        = {S. Danilov and G. Kivman and J. Schroter},
4310  year          = {2004},
4311  title         = {Evaluation of an eddy-permitting finite-element ocean model in the {N}orth
4312                  {A}tlantic},
4313  journal       = {Ocean Modelling},
4314  petsc_uses    = {KSP}
4315}
4316
4317@Article{         nerger1,
4318  author        = {L. Nerger and S. Danilov and G. Kivman and W. Hiller and J. Schroter},
4319  year          = {2004},
4320  title         = {Data Assimilation with the Ensemble {K}alman Filter and the {SEIK} Filter applied to
4321                  a Finite Element Model of the {N}orth {A}tlantic},
4322  journal       = {Journal of marine systems},
4323  petsc_uses    = {KSP}
4324}
4325
4326@Conference{      rakowsky2003self,
4327  title         = {{A self-adaptive finite element model of the atmosphere}},
4328  author        = {Rakowsky, N. and Frickenhaus, S. and Hiller, W. and L{\\"a}uter, M. and Handorf,
4329                  D. and Dethloff, K. and Zwieflhofer, W. and Kreitz, N.},
4330  booktitle     = {Realizing teracomputing: proceedings of the tenth ECMWF Workshop on the Use of
4331                  High Performance Computing in Meteorology: Reading, UK, 4-8 November, 2002},
4332  pages         = {279},
4333  isbn          = {981238376X},
4334  year          = {2003},
4335  organization  = {World Scientific Pub Co},
4336  petsc_uses    = {KSP}
4337}
4338
4339@Article{         lauter3,
4340  author        = {M. Lauter},
4341  year          = {2004},
4342  title         = {GrossrAumige Zirkulationsstrukturen in einem nichtlinearen adaptiven
4343                  AtmosphArenmodell},
4344  journal       = {Berichte zur Polar- und Meeresforschung},
4345  petsc_uses    = {KSP}
4346}
4347
4348@Article{         lauter2,
4349  author        = {M. Lauter and D. Handorf and K. Dethloff},
4350  year          = {2004},
4351  title         = {Unsteady analytical solutions of the spherical shallow water equations},
4352  journal       = {Journal of computational physics},
4353  petsc_uses    = {KSP}
4354}
4355
4356@PhDThesis{       lauter1,
4357  author        = {M. Lauter},
4358  year          = {2004},
4359  title         = {GrossAumige Zirkulationsstrukturen in einem nichtlinearen adaptiven
4360                  AtmosphArenmodell},
4361  institution   = {UniversitAt Potsdam, 134 P., UniversitAt Potsdam},
4362  petsc_uses    = {KSP}
4363}
4364
4365@Article{         frickenhaus1,
4366  author        = {S. Frickenhaus and W. Hiller and M. Best},
4367  year          = {2005},
4368  title         = {FoSSI : The Family of Simplified Solver Interfaces for the rapid development of
4369                  parallel numerical atmosphere and ocean models},
4370  journal       = {Ocean Modelling},
4371  volume        = {10},
4372  pages         = {185--191},
4373  petsc_uses    = {KSP}
4374}
4375
4376@Article{         0266-5611-24-3-034015,
4377  author        = {I Epanomeritakis and V Ak\c{c}elik and O Ghattas and J Bielak},
4378  title         = {A {N}ewton-{CG} method for large-scale three-dimensional elastic full-waveform
4379                  seismic inversion},
4380  journal       = {Inverse Problems},
4381  volume        = {24},
4382  number        = {3},
4383  pages         = {034015 (26pp)},
4384  url           = {http://stacks.iop.org/0266-5611/24/034015},
4385  year          = {2008},
4386  abstract      = {We present a nonlinear optimization method for large-scale 3D elastic
4387                  full-waveform seismic inversion. The method combines outer Gauss-Newton nonlinear
4388                  iterations with inner conjugate gradient linear iterations, globalized by an
4389                  Armijo backtracking line search, solved on a sequence of finer grids and higher
4390                  frequencies to remain in the vicinity of the global optimum, inexactly terminated
4391                  to prevent oversolving, preconditioned by L-BFGS/Frankel, regularized by a total
4392                  variation operator to capture sharp interfaces, finely discretized by finite
4393                  elements in the Lam\'{e} parameter space to provide flexibility and avoid bias,
4394                  implemented in matrix-free fashion with adjoint-based computation of reduced
4395                  gradient and reduced Hessian-vector products, checkpointed to avoid full spacetime
4396                  waveform storage, and partitioned spatially across processors to parallelize the
4397                  solutions of the forward and adjoint wave equations and the evaluation of
4398                  gradient-like information. Several numerical examples demonstrate the grid
4399                  independence of linear and nonlinear iterations, the effectiveness of the
4400                  preconditioner, the ability to solve inverse problems with up to 17 million
4401                  inversion parameters on up to 2048 processors, the effectiveness of multiscale
4402                  continuation in keeping iterates in the basin of attraction of the global minimum,
4403                  and the ability to fit the observational data while reconstructing the model with
4404                  reasonable resolution and capturing sharp interfaces.},
4405  petsc_uses    = {KSP}
4406}
4407
4408% LiteralHTML:
4409% LiteralHTML:  <a name="environmental"><H3><center>Environmental -- Subsurface Flow</center></H3>
4410% LiteralHTML:
4411% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
4412% LiteralHTML:<font color="#FF0000">
4413% LiteralHTML:Modeling surface flow of water is valuable for both flood control and
4414% LiteralHTML:agricultural and environmental reasons. For example, regenerating the
4415% LiteralHTML:Florida Everglades requires extensive understanding of the surface water
4416% LiteralHTML:characteristics over thousands of square miles. PETSc has been used
4417% LiteralHTML:for a variety of these simulations.</p>
4418% LiteralHTML:</font>
4419% LiteralHTML:
4420@Article{         mills2009modeling,
4421  title         = {Modeling subsurface reactive flows using leadership-class computing},
4422  author        = {Mills, R.T. and Hammond, G.E. and Lichtner, P.C. and Sripathi, V. and
4423                  Mahinthakumar, G.K. and Smith, B.F.},
4424  journal       = {Journal of Physics: Conference Series},
4425  volume        = {180},
4426  pages         = {012062},
4427  year          = {2009},
4428  publisher     = {IOP Publishing},
4429  petsc_uses    = {KSP}
4430}
4431
4432@Conference{      mills2007simulating,
4433  title         = {{Simulating subsurface flow and transport on ultrascale computers using
4434                  PFLOTRAN}},
4435  author        = {Mills, R.T. and Lu, C. and Lichtner, P.C. and Hammond, G.E.},
4436  booktitle     = {Journal of Physics: Conference Series},
4437  volume        = {78},
4438  pages         = {012051},
4439  year          = {2007},
4440  organization  = {IOP Publishing},
4441  petsc_uses    = {KSP}
4442}
4443
4444@InProceedings{   mills2009,
4445  title         = {Modeling subsurface reactive flows using leadership-class computing},
4446  author        = {Mills, R.T. and Hammond, G.E. and Lichtner, P.C. and Sripathi, V. and
4447                  Mahinthakmuar, G. and Smith, B.},
4448  booktitle     = {Journal of Physics: Conference Series},
4449  volume        = {180},
4450  pages         = {102062},
4451  year          = {2009},
4452  organization  = {IOP Publishing},
4453  petsc_uses    = {KSP}
4454}
4455
4456@Article{         guo2013parallel,
4457  title         = {A parallel, fully coupled, fully implicit solution to reactive transport in
4458                  porous media using the preconditioned {J}acobian-{F}ree {N}ewton-{K}rylov Method
4459                  },
4460  journal       = {Advances in Water Resources },
4461  volume        = {53},
4462  number        = {0},
4463  pages         = {101 - 108},
4464  year          = {2013},
4465  note          = {},
4466  issn          = {0309-1708},
4467  doi           = {10.1016/j.advwatres.2012.10.010},
4468  author        = {Luanjing Guo and Hai Huang and Derek R. Gaston and Cody J. Permann and David
4469                  Andrs and George D. Redden and Chuan Lu and Don T. Fox and Yoshiko Fujita},
4470  keywords      = {Reactive transport, Jacobian-Free Newton-Krylov, Physics-based block
4471                  preconditioner},
4472  petsc_uses    = {KSP}
4473}
4474
4475@Unpublished{     stomp,
4476  title         = {STOMP (Subsurface Transport Over Multiple Phases) webpage},
4477  url           = {http://stomp.pnl.gov/},
4478  petsc_uses    = {KSP}
4479}
4480
4481@InProceedings{   htfc2003,
4482  author        = {L. Hluchy and V.D. Tran and D.Froehlich and W.Castaings},
4483  title         = {Methods and Experiences For Parallelizing Flood Models},
4484  year          = {2003},
4485  booktitle     = {Recent Advances in Parallel Virtual Machine and Message Passing Interface: 10th
4486                  European PVM/MPI User's Group Meeting},
4487  note          = {Springer Lecture Notes in Computer Science, Volume 2840},
4488  url           = {http://www.springerlink.com/app/home/contribution.asp?wasp=2e9afcba8f614cd9a6f94a5294d1cbb0&referrer=parent&backto=issue,93,95;journal,588,1972;linkingpublicationresults,1:105633,1},
4489  petsc_uses    = {KSP}
4490}
4491
4492@InProceedings{   hulchy-tran-astalos-fmsip,
4493  author        = {L. Hluchy and V.D. Tran and J. Astalos and M. Dobrucky and G. T. Nguyen and
4494                  D.Froehlich},
4495  title         = {Flood Modeling System and Its Parallelization},
4496  year          = {2002},
4497  booktitle     = {Proceedings of the International Conference on Parallel Computing in Electrical
4498                  Engineering},
4499  url           = {http://portal.acm.org/citation.cfm?id=824476.825951},
4500  petsc_uses    = {KSP}
4501}
4502
4503@InProceedings{   gy1,
4504  author        = {J. P. Gwo and G. T. Yeh},
4505  title         = {High-Performance Simulation of Surface-Subsurface Coupled Flow and Reactive
4506                  Transport at Watershed Scale},
4507  year          = {2004},
4508  booktitle     = {The International Conference on Computational Methods},
4509  url           = {http://www.sfwmd.gov/org/era/uncertainty_wkshp/GwoYeh.pdf},
4510  petsc_uses    = {KSP}
4511}
4512
4513@Conference{      cheng2009efficient,
4514  title         = {{An efficient parallel method for large-scale groundwater flow equation based on
4515                  PETSc}},
4516  author        = {Cheng, T. and Ji, X. and Wang, Q.},
4517  booktitle     = {Information, Computing and Telecommunication, 2009. YC-ICT'09. IEEE Youth
4518                  Conference on},
4519  pages         = {190--193},
4520  organization  = {IEEE},
4521  petsc_uses    = {KSP}
4522}
4523
4524@Unpublished{     sfrsm,
4525  title         = {The South Florida Regional Simulation Model and Hydrologic Simulation Engine},
4526  url           = {http://www.sfwmd.gov/org/pld/hsm/cerp_pres/hse_num.pdf},
4527  note          = {Simulates overland, groundwater and canal flows for south Florida. Uses PETSc for
4528                  its linear solves},
4529  petsc_uses    = {KSP}
4530}
4531
4532% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
4533@InProceedings{   bart_omar:sc05,
4534  author        = {Volkan Ak{\c c}elik and George Biros and Andrei Dr{\u{a}}g{\u{a}}nescu and Omar
4535                  Ghattas and Judith~C. Hill and Gart~G. van Bloemen Waanders},
4536  title         = {Dynamic data driven inversion for terascale simulations: real-time
4537                  indentification of airborne contaminants},
4538  booktitle     = {Proceedings of SC2005},
4539  organization  = {IEEE/ACM},
4540  address       = {Seattle, WA},
4541  year          = {2005},
4542  month         = nov,
4543  url           = {http://www.cs.cmu.edu/\~{ }oghattas/papers/sc05-inverse.pdf},
4544  lab           = {SNL},
4545  petsc_uses    = {KSP}
4546}
4547
4548@InProceedings{   anton-krassimir-lscc,
4549  author        = {Anton Antonov and Krassimir Georgiev and Emilia Komsalova and Zahari Zlatev},
4550  title         = {Comparison of Two Local Refinement Methods for Large Scale Air Pollution
4551                  Simulations},
4552  booktitle     = {Large-Scale Scientific Computing: 4th International Conference, LSSC 2003},
4553  volume        = {2907},
4554  year          = {2003},
4555  publisher     = {Springer-Verlag},
4556  url           = {http://www.springerlink.com/app/home/contribution.asp?wasp=65dfaebc36f6453d9120b8f9f86fecc5&referrer=parent&backto=issue,32,55;journal,618,2072;linkingpublicationresults,1:105633,1},
4557  petsc_uses    = {KSP}
4558}
4559
4560@InProceedings{   aa2001,
4561  author        = {Anton Antonov},
4562  title         = {Object-Oriented Framework for Large Scale Air Pollution Modeling},
4563  year          = {2001},
4564  booktitle     = {Large-Scale Scientific Computing : Third International Conference, LSSC 2001,
4565                  Sozopol, Bulgaria},
4566  note          = {Springer Lecture Notes in Computer Science, Volume 2179},
4567  url           = {http://www.springerlink.com/app/home/contribution.asp?wasp=3699c48fdb764bc7a3aa0539c7bf9f1d&referrer=parent&backto=issue,25,52;journal,1243,1972;linkingpublicationresults,1:105633,1},
4568  petsc_uses    = {KSP}
4569}
4570
4571% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
4572@Article{         grassley-simmons-kercher-00,
4573  author        = {William E. Glassley and Ardyth M. Simmons and James R. Kercher},
4574  year          = {2000},
4575  title         = {Mineralogical heterogeneity in fractured, porous media and its representation in
4576                  reactive transport models},
4577  journal       = {Applied Geochemistry},
4578  volume        = {17},
4579  pages         = {699--708},
4580  lab           = {LLNL}
4581}
4582
4583@Article{         glassey-nitao-03,
4584  author        = {William E. Glassley and John J. Nitao and Charles W. Grant and James W. Johnson
4585                  and Carl I. Steefel and James R. Kercher},
4586  year          = {2003},
4587  title         = {The impact of climate change on vadose zone pore waters and its implication for
4588                  long-term monitoring},
4589  journal       = {Computers and Geosciences},
4590  volume        = {29},
4591  pages         = {399-411},
4592  lab           = {LLNL},
4593  petsc_uses    = {KSP}
4594}
4595
4596@Article{         steefel-depaolo-lichtner-05,
4597  author        = {Carl I. Steefel and Donald J. DePaolo and Peter C. Lichtner},
4598  year          = {2005},
4599  title         = {Reactive transport modeling: An essential tool and a new research approach for
4600                  the Earth sciences},
4601  journal       = {Earth and Planetary Science Letters},
4602  lab           = {LLNL,LANL},
4603  petsc_uses    = {KSP}
4604}
4605
4606% LiteralHTML:<a name="scalinglarge">
4607% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
4608% LiteralHTML: <center><img  alt=""
4609% LiteralHTML: src="images/scalinglarge.jpg"></center></p>
4610% LiteralHTML:<font color="#FF0000">
4611% LiteralHTML: Sample <strong>strong scaling</strong> for the LANL PFLOTRAN flow and geochemical transport suite. (Courtesy of Richard Mills, ORNL)
4612@InProceedings{   kongstognergastonpetersonpermannslaughtermartineau2018,
4613  title         = {A General-Purpose Hierarchical Mesh Partitioning Method with Node Balancing
4614                  Strategies for Large-Scale Numerical Simulations},
4615  author        = {Fande Kong and Roy H. Stogner and Derek R. Gaston and John W. Peterson and Cody
4616                  J. Permann and Andrew E. Slaughter and Richard C. Martineau},
4617  booktitle     = {2018 IEEE/ACM 9th Workshop on Latest Advances in Scalable Algorithms for
4618                  Large-Scale Systems (scalA)},
4619  pages         = {65-72},
4620  doi           = {10.1109/ScalA.2018.00012},
4621  month         = nov,
4622  year          = {2018},
4623  petsc_uses    = {KSP}
4624}
4625
4626@Article{         km2004,
4627  author        = {A. Keese and H. G. Matthies},
4628  journal       = {Computers and Structures},
4629  year          = {2005},
4630  volume        = {83},
4631  pages         = {1033--1047},
4632  title         = {Hierarchical parallelisation for the solution of stochastic finite element
4633                  equations},
4634  url           = {http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V28-4FPDPWM-1&_user=1722207&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000053990&_version=1&_urlVersion=0&_userid=1722207&md5=89d48cd6fd5e80989372246d8dda400f},
4635  petsc_uses    = {KSP}
4636}
4637
4638@Unpublished{     hvl2002,
4639  title         = {Numerical Modeling of {NAPL} Source Zone Treatment},
4640  author        = {Hammond, G.E., A.J. Valocchi and P.C. Lichtner},
4641  note          = {Poster at American Geophysical Union Fall 2002 Meeting, San Francisco, CA.},
4642  url           = {http://cee.uiuc.edu/transport/hammond/agu_2002.pdf},
4643  year          = {2002},
4644  lab           = {LANL},
4645  petsc_uses    = {KSP}
4646}
4647
4648@PhDThesis{       hammond2003,
4649  author        = {Glenn E. Hammond},
4650  title         = {Innovative Methods for Solving Multicomponent Biogeochemical Groundwater
4651                  Transport on Supercomputers},
4652  school        = {University of Illinois at Urbana-Champaign},
4653  year          = {2003},
4654  url           = {http://cee.uiuc.edu/transport/hammond/dissertation.pdf},
4655  petsc_uses    = {KSP}
4656}
4657
4658@Unpublished{     uk,
4659  title         = {Parallel Least-Squares Finite Element Method for Large Eddy Simulation of Large
4660                  Scale Environmental Flows and Transport Processes},
4661  url           = {http://es.epa.gov/ncer/progress/grants/96/high/tsang99.html},
4662  note          = {EPA funded work to simulate turbulent dispersion of toxic chemicals around
4663                  buildings and in Green Bay. Used PETSc for its linear solvers},
4664  year          = {1999},
4665  petsc_uses    = {KSP}
4666}
4667
4668@InProceedings{   hammond2002,
4669  author        = {Glenn E. Hammond and Albert J. Valocchi and Peter C. Lichtner},
4670  title         = {Modeling Multicomponent Reactive Transport on Parallel Computers Using
4671                  {J}acobian-Free {N}ewton {K}rylov with Operator-Split Preconditioners},
4672  year          = {2002},
4673  url           = {http://www.cee.uiuc.edu/transport/publications/hammond/CMWR_2002.pdf},
4674  booktitle     = {Proceedings of the XIV International Conference on Computational Methods in Water
4675                  Resources, Delft, The Netherlands.},
4676  lab           = {LANL},
4677  petsc_uses    = {KSP}
4678}
4679
4680@TechReport{      steefel1,
4681  author        = {C. I. Steefel},
4682  title         = {Software for modeling multicomponent, multidimensional reactive transport},
4683  year          = {2001},
4684  institution   = {Lawrence Livermore National Laboratory},
4685  number        = {UCRL-MA-143182},
4686  lab           = {LLNL},
4687  petsc_uses    = {KSP}
4688}
4689
4690@Article{         steefel2,
4691  author        = {C. I. Steefel and A. C. Lasaga},
4692  title         = {A coupled model for transport of multiple chemical-species and kinetic
4693                  precipitation dissolution reactions with application to reactive flow in
4694                  single-phase hydrothermal systems},
4695  journal       = {Americal Journal of Science},
4696  year          = {1994},
4697  pages         = {529-592},
4698  volume        = {294},
4699  number        = {5},
4700  petsc_uses    = {KSP}
4701}
4702
4703@TechReport{      steefel3,
4704  author        = {C. I. Steefel and S. B. Yabusaki},
4705  title         = {{OS3D/GIMRT}, Software for Multicomponent-Multidimensional reactive transport:
4706                  User's manual and programmer's guide},
4707  year          = {1996},
4708  institution   = {Pacific Northwest National Laboratory},
4709  number        = {PNNL-11166},
4710  lab           = {PNNL},
4711  petsc_uses    = {KSP}
4712}
4713
4714@Article{         2005hvl,
4715  author        = {G. E. Hammond and A.J. Valocchi and P.C. Lichtner},
4716  title         = {Application of {J}acobian-free {N}ewton-{K}rylov with physics-based
4717                  preconditioning to biogeochemical transport},
4718  journal       = {Advances in Water Resources},
4719  year          = {2005},
4720  pages         = {359--376},
4721  volume        = {28},
4722  url           = {
4723                  http://www.sciencedirect.com/science?_ob=IssueURL&_tockey=%23TOC%235953%232005%23999719995%23576651%23FLA%23Volume_28,_Issue_4,_Pages_315-427_(April_2005)&_auth=y&view=c&_acct=C000059129&_version=1&_urlVersion=0&_userid=2914253&md5=0d485527443c6192356cc508e1621002},
4724  lab           = {LANL},
4725  petsc_uses    = {KSP}
4726}
4727
4728@Article{         wang-zabar-05,
4729  author        = {J Wang and N Zabaras},
4730  journal       = {Int. J. Heat and Mass Transfer},
4731  title         = {A Markov random field model of contamination source identification in porous
4732                  media flow},
4733  year          = {2005},
4734  petsc_uses    = {KSP}
4735}
4736
4737@InBook{          kp1,
4738  author        = {Jong G. Kim and Hyoung W. Park},
4739  chapter       = {Advanced Simulation Technique for Modeling Multiphase Fluid Flow in Porous
4740                  Media},
4741  url           = {http://www.springerlink.com/app/home/contribution.asp?wasp=m5uc84pqrh1qrg8clyuh&referrer=parent&backto=issue,1,117;journal,206,1787;linkingpublicationresults,1:105633,1},
4742  title         = {Lecture Notes in Computer Science},
4743  publisher     = {Springer-Verlag},
4744  volume        = {3044},
4745  year          = {2004},
4746  petsc_uses    = {KSP}
4747}
4748
4749@Article{         2001agusm...h32a06k,
4750  author        = {{Kim}, J.~G. and {Kim}, J.},
4751  title         = {Parallel Implementation of Finite Element Groundwater Flow Model},
4752  journal       = {AGU Spring Meeting Abstracts},
4753  year          = {2001},
4754  pages         = {32-+},
4755  petsc_uses    = {KSP}
4756}
4757
4758@Article{         lzb2005,
4759  author        = {A. M. Wasantha Lal and Randy Van Zee and Mark Belnap},
4760  title         = {CASE STUDY: A MODEL TO SIMULATE REGIONAL FLOW IN SOUTH FLORIDA},
4761  journal       = {Journal of Hydraulic Engineering},
4762  year          = {2005},
4763  volume        = {131},
4764  number        = {4},
4765  pages         = {247--258},
4766  petsc_uses    = {KSP}
4767}
4768
4769@Article{         rao2005,
4770  author        = {Prasada Rao},
4771  title         = {A parallel {RMA2} model for simulating large-scale free surface flows},
4772  journal       = {Environmental Modelling and Software},
4773  year          = {2005},
4774  pages         = {47--53},
4775  petsc_uses    = {KSP}
4776}
4777
4778@InProceedings{   pr1,
4779  author        = {Prasada Rao},
4780  title         = {An Efficient Scalable Finite Element Model for Simulating Large Scale
4781                  Hydrodynamic Flows},
4782  year          = {2003},
4783  booktitle     = {Proceedings of the American Society of Civil Engineers 16th Engineering Mechanics
4784                  Conference},
4785  url           = {http://www.ce.washington.edu/em03/proceedings/papers/477.pdf},
4786  petsc_uses    = {KSP}
4787}
4788
4789@InProceedings{   lichtner2004,
4790  author        = {Peter C. Lichtner and Andrew Wolfsberg},
4791  title         = {Modeling Thermal-Hydrological-Chemical ({THC}) Coupled Processes with
4792                  Applications to Underground Nuclear Tests at the Nevada Test Site; A Grand
4793                  Challenge Supercomputing Problem},
4794  year          = {2004},
4795  booktitle     = {MPU Workshop: Conceptual Model Development for Subsurface Reactive Transport
4796                  Modeling of Inorganic Contaminants, Radionuclides and Nutrients},
4797  note          = {Also Los Alamos National Laboratory report: LA-UR-04-1826},
4798  lab           = {LANL},
4799  petsc_uses    = {KSP}
4800}
4801
4802% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
4803@Article{         aba01:petsc-app,
4804  author        = {Jason Abate and Peng Wang and Kamy Sepehrnoori},
4805  title         = {Parallel Compositional Reservior Simulation on Clusters of {PC}s},
4806  journal       = {Int. J. High Performance Computing Applications},
4807  year          = {2001},
4808  volume        = {15},
4809  number        = {1},
4810  pages         = {13--21},
4811  petsc_uses    = {KSP}
4812}
4813
4814@PhDThesis{       tjb200,
4815  author        = {Thomas James Byer},
4816  title         = {Preconditioned Newton Methods for Simulation of Reservoirs with Surface
4817                  Facilities},
4818  school        = {Stanford},
4819  year          = {2000},
4820  petsc_uses    = {KSP}
4821}
4822
4823@InProceedings{   puchyr2006,
4824  author        = {Peter J. Puchyr},
4825  title         = {Experience with Parallel Computing for Reservoir and Geomechanics Simulation on a
4826                  {Win32} Cluster},
4827  booktitle     = {Proceedings of the Canadian International Petroleum Conference},
4828  note          = {Paper number CIPC2006-207},
4829  year          = {2006},
4830  petsc_uses    = {KSP}
4831}
4832
4833@InProceedings{   texas98,
4834  author        = {P. Wang and S. Balay and K. Seperhrnoori and J. Wheeler and J. Abate and B. Smith
4835                  and G. A. Pope},
4836  title         = {A Fully Implicit Parallel {EOS} Compositional Simulator for Large Scale Reservoir
4837                  Simulation},
4838  booktitle     = {Proceedings of the 1999 Society of Petroleum Engineers 15th Reservoir Simulation
4839                  Symposium},
4840  note          = {also available as Argonne preprint ANL/MCS-P743-1298},
4841  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P743.pdf},
4842  year          = {1998},
4843  petsc_uses    = {KSP}
4844}
4845
4846% LiteralHTML:
4847% LiteralHTML:  <a name="cfd"><H3><center>CFD</center></H3>
4848% LiteralHTML:
4849@Article{         farrellmitchellscottwechsung2021,
4850  title         = {A {Reynolds-robust} preconditioner for the {Scott-Vogelius} discretization of the
4851                  stationary incompressible {Navier-Stokes} equations},
4852  author        = {Patrick E Farrell and Lawrence Mitchell and L Ridgway Scott and Florian
4853                  Wechsung},
4854  journal       = {The SMAI journal of computational mathematics},
4855  volume        = {7},
4856  pages         = {75--96},
4857  year          = {2021},
4858  petsc_uses    = {KSP}
4859}
4860
4861@Article{         adlerbensoncyrfarrellmaclachlantuminaro2021,
4862  title         = {Monolithic Multigrid Methods for Magnetohydrodynamics},
4863  author        = {James H Adler and Thomas R Benson and Eric C Cyr and Patrick E Farrell and Scott
4864                  P MacLachlan and Ray S Tuminaro},
4865  journal       = {SIAM Journal on Scientific Computing},
4866  number        = {0},
4867  pages         = {S70--S91},
4868  year          = {2021},
4869  petsc_uses    = {KSP}
4870}
4871
4872@Article{         farrellgaticalamichhaneoyarzuaruizbaier2021,
4873  title         = {Mixed Kirchhoff stress–displacement–pressure formulations for incompressible
4874                  hyperelasticity},
4875  author        = {Patrick E. Farrell and Luis F. Gatica and Bishnu P. Lamichhane and Ricardo
4876                  Oyar\'ua and Ricardo Ruiz-Baier},
4877  journal       = {Computer Methods in Applied Mechanics and Engineering},
4878  volume        = {374},
4879  pages         = {113562},
4880  issn          = {0045-7825},
4881  doi           = {https://doi.org/10.1016/j.cma.2020.113562},
4882  url           = {https://www.sciencedirect.com/science/article/pii/S0045782520307477},
4883  year          = {2021},
4884  petsc_uses    = {KSP}
4885}
4886
4887@Article{         farrellmitchellwechsung2018,
4888  title         = {An augmented {Lagrangian} preconditioner for the {3D} stationary incompressible
4889                  {Navier-Stokes} equations at high {Reynolds} number},
4890  author        = {Patrick E Farrell and Lawrence Mitchell and Florian Wechsung},
4891  journal       = {SIAM Journal on Scientific Computing},
4892  volume        = {41},
4893  number        = {5},
4894  eprint        = {1810.03315},
4895  pages         = {A3073-A3096},
4896  year          = {2019},
4897  petsc_uses    = {KSP}
4898}
4899
4900@Article{         hevuikklaij2017,
4901  title         = {Block-preconditioners for the incompressible {Navier}--{Stokes} equations
4902                  discretized by a finite volume method},
4903  author        = {Xin He and Cornelis Vuik and Christiaan Klaij},
4904  journal       = {Journal of Numerical Mathematics},
4905  volume        = {25},
4906  number        = {2},
4907  pages         = {89--105},
4908  year          = {2017},
4909  petsc_uses    = {KSP}
4910}
4911
4912@InProceedings{   zou2015newton,
4913  title         = {Newton--Krylov methods in applications of two-phase flow problems with phase
4914                  appearance/disappearance},
4915  author        = {Zou, L and Zhao, H and Zhang, H},
4916  booktitle     = {ANS 2015 Annual Meeting, June},
4917  volume        = {7},
4918  number        = {11},
4919  year          = {2015},
4920  petsc_uses    = {KSP}
4921}
4922
4923@Article{         guermond2009nonlinear,
4924  title         = {Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a
4925                  Fourier/finite element technique and an interior penalty method},
4926  author        = {Guermond, J-L and Laguerre, Raphael and L{\'e}orat, Jacques and Nore, Caroline},
4927  journal       = {Journal of computational physics},
4928  volume        = {228},
4929  number        = {8},
4930  pages         = {2739--2757},
4931  year          = {2009},
4932  publisher     = {Elsevier},
4933  petsc_uses    = {KSP}
4934}
4935
4936@Article{         erzincanlisahin2015,
4937  title         = {The numerical simulation of the wing kinematics effects on near wake topology and
4938                  aerodynamic performance in hovering {D}rosophila flight},
4939  author        = {Belkis Erzincanli and Mehmet Sahin},
4940  journal       = {Computers \& Fluids},
4941  volume        = {122},
4942  pages         = {90--110},
4943  year          = {2015},
4944  publisher     = {Elsevier},
4945  petsc_uses    = {KSP}
4946}
4947
4948@Article{         ekensahin2015,
4949  title         = {A parallel monolithic algorithm for the numerical simulation of large-scale fluid
4950                  structure interaction problems},
4951  author        = {Ali Eken and Mehmet Sahin},
4952  journal       = {International Journal for Numerical Methods in Fluids},
4953  year          = {2015},
4954  publisher     = {Wiley Online Library},
4955  petsc_uses    = {KSP}
4956}
4957
4958@Article{         hwangsucai2015,
4959  title         = {A parallel adaptive nonlinear elimination preconditioned inexact {Newton} method
4960                  for transonic full potential equation},
4961  author        = {Feng-Nan Hwang and Yi-Cheng Su and Xiao-Chuan Cai},
4962  journal       = {Computers \& Fluids},
4963  volume        = {110},
4964  number        = {30},
4965  pages         = {96--107},
4966  year          = {2015},
4967  doi           = {10.1016/j.compfluid.2014.04.005},
4968  petsc_uses    = {KSP}
4969}
4970
4971@Article{         yanghwangcai2016,
4972  title         = {Nonlinear Preconditioning Techniques for Full-Space {L}agrange--{N}ewton Solution of
4973                  {PDE}-Constrained Optimization Problems},
4974  author        = {Haijian Yang and Feng-Nan Hwang and Xiao-Chuan Cai},
4975  journal       = {SIAM Journal on Scientific Computing},
4976  volume        = {38},
4977  number        = {5},
4978  pages         = {A2756--A2778},
4979  year          = {2016},
4980  petsc_uses    = {KSP}
4981}
4982
4983@Article{         khanaidun2011,
4984  author        = {Irfan Khan and Cyrus K. Aidun},
4985  title         = {Direct numerical simulation of saturated deformable porous media using parallel
4986                  hybrid Lattice-{B}oltzmann and finite element method},
4987  journal       = {Int. J. Numer. Meth. Eng.},
4988  volume        = {86},
4989  pages         = {1379--1395},
4990  year          = {2011},
4991  petsc_uses    = {KSP}
4992}
4993
4994@Article{         khanaidun2014,
4995  author        = {Irfan Khan and Cyrus K. Aidun},
4996  title         = {Modeling the deformation of saturate porous media using direct numerical
4997                  simulation},
4998  journal       = {Int. J. Multiphase Flow},
4999  doi           = {10.1016/j.ijmultiphaseflow.2014.12.003},
5000  year          = {2014},
5001  petsc_uses    = {KSP}
5002}
5003
5004@Article{         mofidi2014simulations,
5005  author        = {A. Mofidi and P. M. Carrica},
5006  title         = {Simulations of Zigzag Maneuvers for a Container Ship with Direct Moving Rudder
5007                  and Propeller},
5008  journal       = {Computers and Fluids},
5009  pages         = {191--203},
5010  year          = {2014},
5011  petsc_uses    = {KSP}
5012}
5013
5014@Article{         paik2014fluidstructure,
5015  author        = {K. Paik and P. M. Carrica},
5016  title         = {Fluid-Structure Interaction for an Elastic Structure Interacting with Free
5017                  Surface in a Rolling Tank},
5018  journal       = {Ocean Engineering},
5019  pages         = {201--212},
5020  year          = {2014},
5021  petsc_uses    = {KSP}
5022}
5023
5024@Article{         castro2013bubble,
5025  author        = {A. M. Castro and P. M. Carrica},
5026  title         = {Bubble size distribution prediction for large-scale ship flows: {Model}
5027                  evaluation and numerical issues},
5028  journal       = {International Journal of Multiphase Flow 57},
5029  pages         = {131--150},
5030  year          = {2013},
5031  petsc_uses    = {KSP}
5032}
5033
5034@Article{         carrica2013turn,
5035  author        = {P. M. Carrica and F. Ismail and M. Hyman and S. Bhushan and F. Stern},
5036  title         = {Turn and Zigzag Maneuvers of a Surface Combatant Using a {URANS} Approach with
5037                  Dynamic Overset Grids},
5038  journal       = {Journal of Marine Science and Technology},
5039  pages         = {166--181},
5040  year          = {2013},
5041  petsc_uses    = {KSP}
5042}
5043
5044@Article{         castro2013eulerian,
5045  author        = {A. M. Castro and P. M. Carrica},
5046  title         = {Eulerian polydispersed modeling of bubbly flows around ships with application to
5047                  {Athena} {R}/V,},
5048  journal       = {International Shipbuilding Progress},
5049  pages         = {403--433},
5050  year          = {2013},
5051  petsc_uses    = {KSP}
5052}
5053
5054@Article{         chase2013overset,
5055  author        = {N. Chase and T. Michael and P. M. Carrica},
5056  title         = {Overset simulations of a {Submarine} in {Towed}, {Self}-{Propelled} and
5057                  {Maneuvering} {Conditions}},
5058  journal       = {International Shipbuilding Progress},
5059  pages         = {171--205},
5060  year          = {2013},
5061  petsc_uses    = {KSP}
5062}
5063
5064@Article{         sadathosseini2013wu,
5065  author        = {H. Sadat-Hosseini and P. -C. Wu and P. M. Carrica and H. Kim and Y. Toda and F.
5066                  Stern},
5067  title         = {{CFD} Simulation and Validation of Added Resistance of {KVLCC}2 with Fixed and
5068                  Free Surge Conditions in Short and Long Head Waves},
5069  journal       = {Ocean Engineering},
5070  volume        = {59},
5071  pages         = {240--273},
5072  year          = {2013},
5073  petsc_uses    = {KSP}
5074}
5075
5076@Article{         chase2013cfd,
5077  author        = {N. Chase and P. M. Carrica},
5078  title         = {{CFD} Simulations of a Submarine Propeller and Application to Self-Propulsion of a
5079                  Submarine},
5080  journal       = {Ocean Engineering},
5081  pages         = {68--80},
5082  year          = {2013},
5083  petsc_uses    = {KSP}
5084}
5085
5086@Article{         carrica2012cfd,
5087  author        = {P. M. Carrica and H. Sadat-Hosseini and F. Stern},
5088  title         = {{CFD} Analysis of Broaching for a Model Surface Combatant with Explicit Simulation
5089                  of Moving Rudders and Rotating Propellers},
5090  journal       = {Computers and Fluids 53},
5091  pages         = {117--132},
5092  year          = {2012},
5093  petsc_uses    = {KSP}
5094}
5095
5096@Article{         sakamoto2012urans,
5097  author        = {N. Sakamoto and P. M. Carrica and F. Stern},
5098  title         = {{URANS} Simulations of Static and Dynamic Maneuvering for Surface Combatant-Part 1:
5099                  Verification and Validation for Forces, Moment, and Hydrodynamic Derivatives},
5100  publisher     = {Journal of Marine Science and Technology},
5101  pages         = {422--445},
5102  year          = {2012},
5103  petsc_uses    = {KSP}
5104}
5105
5106@Article{         sakamoto2012uransb,
5107  author        = {N. Sakamoto and P. M. Carrica and F. Stern},
5108  title         = {{URANS} Simulations of Static and Dynamic Maneuvering for Surface Combatant-Part 2:
5109                  Analysis and Validation of Local Flow Characteristics},
5110  journal       = {Journal of Marine Science and Technology},
5111  pages         = {446--468},
5112  year          = {2012},
5113  petsc_uses    = {KSP}
5114}
5115
5116@Article{         li2012dynamic,
5117  author        = {Y. Li and T. Xing and K. Paik and P. M. Carrica},
5118  title         = {Dynamic Overset {CFD} Simulations of Wind Turbine Aerodynamics},
5119  journal       = {Renewable Energy},
5120  pages         = {285--298},
5121  year          = {2012},
5122  petsc_uses    = {KSP}
5123}
5124
5125@Article{         huang2012a,
5126  author        = {J. Huang and P. M. Carrica and F. Stern},
5127  title         = {A Method to Compute Ship Exhaust Plumes with Waves and Wind},
5128  journal       = {International Journal for Numerical Methods in Fluids},
5129  pages         = {160--180},
5130  year          = {2012},
5131  petsc_uses    = {KSP}
5132}
5133
5134@Article{         huang2012b,
5135  author        = {J. Huang and P. M. Carrica and F. Stern},
5136  title         = {A geometry-based level set method for curvilinear overset grids with application
5137                  to ship hydrodynamics},
5138  journal       = {International Journal for Numerical Methods in Fluids},
5139  pages         = {494--521},
5140  year          = {2012},
5141  petsc_uses    = {KSP}
5142}
5143
5144@Article{         carrica2011computations,
5145  author        = {P. M. Carrica and H. Fu and F. Stern},
5146  title         = {Computations of self-propulsion free to sink and trim and of motions in head
5147                  waves of the {KRISO} {Container} {Ship} ({KCS}) model},
5148  journal       = {Applied Ocean Research},
5149  pages         = {309--320},
5150  year          = {2011},
5151  petsc_uses    = {KSP}
5152}
5153
5154@Article{         bhushan2011scalability,
5155  author        = {S. Bhushan and P. M. Carrica and J. Yang and F. Stern},
5156  title         = {Scalability and Validation Study for Large Scale Surface Combatant Computations
5157                  Using {CFDShip}-Iowa},
5158  journal       = {International Journal of High Performance Computing Applications},
5159  pages         = {466--487},
5160  year          = {2011},
5161  petsc_uses    = {KSP}
5162}
5163
5164@Article{         castro2011full,
5165  author        = {A. M. Castro and P. M. Carrica and F. Stern},
5166  title         = {Full scale self-propulsion computations using discretized propeller for the
5167                  {KRISO} container ship {KCS}},
5168  journal       = {Computers and Fluids},
5169  pages         = {35--47},
5170  year          = {2011},
5171  petsc_uses    = {KSP}
5172}
5173
5174@Article{         kandasamy2011multifidelity,
5175  author        = {M. Kandasamy and S. K. Ooi and P. M. Carrica and F. Stern and E. F. Campana and
5176                  D. Peri and P. Osborne and J. Cote and N. Macdonald and N. de Waal},
5177  title         = {Multi-fidelity Optimization of a High-speed Foil-assisted Semi-planing {C}atamaran
5178                  for Low Wake},
5179  journal       = {Journal of Marine Science and Technology},
5180  pages         = {143--156},
5181  year          = {2011},
5182  petsc_uses    = {KSP}
5183}
5184
5185@Article{         kandasamy2011cfd,
5186  author        = {M. Kandasamy and S. K. Ooi and P. M. Carrica and F. Stern and E. F. Campana and
5187                  D. Peri and P. Osborne and J. Cote and N. Macdonald and N. de Waal},
5188  title         = {{CFD} Validation Studies for a High-speed Foil-assisted Semi-planing {C}atamaran},
5189  journal       = {Journal of Marine Science and Technology},
5190  pages         = {157--167},
5191  year          = {2011},
5192  petsc_uses    = {KSP}
5193}
5194
5195@Article{         sadathosseini2011cfd,
5196  author        = {H. Sadat-Hosseini and P. M. Carrica and F. Stern and N. Umeda and H. Hashimoto
5197                  and S. Yamamura and A. Mastuda},
5198  title         = {{CFD} System-Based and {EFD} Study of Ship Dynamic Instability Events: Surf Riding,
5199                  Periodic Motion and Broaching},
5200  journal       = {Ocean Engineering},
5201  pages         = {88--110},
5202  year          = {2011},
5203  petsc_uses    = {KSP}
5204}
5205
5206@Article{         mosaviraad2010development,
5207  author        = {M. Mosaviraad and P. M. Carrica and F. Stern},
5208  title         = {Development and Validation of Harmonic Wave Group Single-Run Procedure for {RAO}
5209                  with Comparison to Regular Wave and Transient Wave Group Procedures Using
5210                  {URANS}},
5211  journal       = {Ocean Engineering},
5212  pages         = {653--666},
5213  year          = {2010},
5214  petsc_uses    = {KSP}
5215}
5216
5217@Article{         carrica2010largescale,
5218  author        = {P. M. Carrica and J. Huang and R. Noack and D. Kaushik and B. Smith and F.
5219                  Stern},
5220  title         = {Large-Scale {DES} Computations of the Forward Speed Diffraction and Pitch and
5221                  Heave Problems for a Surface Combatant},
5222  journal       = {Computers and Fluids},
5223  pages         = {1095--1111},
5224  year          = {2010},
5225  petsc_uses    = {KSP}
5226}
5227
5228@Article{         carrica2010selfpropulsion,
5229  author        = {P. M. Carrica and A. M. Castro and F. Stern},
5230  title         = {Self-Propulsion Computations Using Speed Controller and Discretized Propeller
5231                  with Dynamic Overset Grids},
5232  journal       = {Journal of Marine Science and Technology},
5233  pages         = {316--330},
5234  year          = {2010},
5235  petsc_uses    = {KSP}
5236}
5237
5238@Article{         ismail2010evaluation,
5239  author        = {F. Ismail and P. M. Carrica and T. Xing and F. Stern},
5240  title         = {Evaluation of Linear and Non-Linear Convection Schemes on Multidimensional
5241                  Non-Orthogonal Grids with Applications to {KVLCC}2 Tanker},
5242  journal       = {International Journal of Numerical Methods in Fluids},
5243  pages         = {850--886},
5244  year          = {2010},
5245  petsc_uses    = {KSP}
5246}
5247
5248@Article{         kandasamy2010integral,
5249  author        = {M. Kandasamy and S. K. Ooi and P. M. Carrica and F. Stern},
5250  title         = {Integral Force/Moment Waterjet Model for {CFD} Simulations},
5251  journal       = {Journal of Fluids Engineering},
5252  pages         = {101103},
5253  year          = {2010},
5254  petsc_uses    = {KSP}
5255}
5256
5257@Article{         kirk:2014de,
5258  author        = {Kirk, Benjamin S and Stogner, Roy H and Bauman, Paul T and Oliver, Todd A},
5259  title         = {{Modeling hypersonic entry with the fully-implicit {N}avier--{S}tokes (FIN-S)
5260                  stabilized finite element flow solver}},
5261  journal       = {Computers {\&} Fluids},
5262  year          = {2014},
5263  volume        = {92},
5264  number        = {0},
5265  pages         = {281--292},
5266  month         = mar,
5267  petsc_uses    = {KSP}
5268}
5269
5270@Article{         carracciuolo20111382,
5271  title         = {Computational simulations of {3D} large-scale time-dependent viscoelastic flows
5272                  in high performance computing environment},
5273  journal       = {Journal of Non-Newtonian Fluid Mechanics },
5274  volume        = {166},
5275  number        = {23--24},
5276  pages         = {1382--1395},
5277  year          = {2011},
5278  issn          = {0377-0257},
5279  doi           = {10.1016/j.jnnfm.2011.08.014},
5280  author        = {L. Carracciuolo and D. Casaburi and L. D’Amore and G. D’Avino and P.L.
5281                  Maffettone and A. Murli},
5282  keywords      = {Parallel computations, Viscoelastic flows, DEVSS-G, \{PETSc\}, Finite element
5283                  method, High performance computing},
5284  petsc_uses    = {KSP}
5285}
5286
5287@Article{         bungartzgatzhammerliebmehlneckel11,
5288  author        = {Bungartz, Hans-Joachim and Gatzhammer, Bernhard and Lieb, Michael and Mehl,
5289                  Miriam and Neckel, Tobias},
5290  title         = {Towards multi-phase flow simulations in the PDE framework Peano},
5291  journal       = {Computational Mechanics},
5292  volume        = {48},
5293  number        = {3},
5294  pages         = {365-376},
5295  year          = {2011},
5296  issn          = {0178-7675},
5297  doi           = {10.1007/s00466-011-0626-1},
5298  publisher     = {Springer-Verlag},
5299  keywords      = {PDE framework; Octree-like Cartesian grids; Computational fluid dynamics;
5300                  Thermohydraulics; Two-phase flow},
5301  language      = {English},
5302  petsc_uses    = {KSP}
5303}
5304
5305@Article{         bpr:cfl,
5306  author        = {H.~M. B{\"u}cker and B. Pollul and A. Rasch},
5307  title         = {{On {CFL} Evolution Strategies for Implicit Upwind Methods in Linearized {E}uler
5308                  Equations}},
5309  journal       = {International Journal for Numerical Methods in Fluids},
5310  year          = {2009},
5311  volume        = {59},
5312  number        = {1},
5313  pages         = {1--18},
5314  doi           = {10.1002/fld.1798},
5315  petsc_uses    = {KSP}
5316}
5317
5318@InBook{          bonfiglioli_campobasso_carpentieri_2010,
5319  author        = {Bonfiglioli, A and Campobasso, M S and Carpentieri, B},
5320  title         = {Parallel unstructured three-dimensional turbulent flow analyses using efficiently
5321                  preconditioned newton-krylov solver},
5322  publisher     = {Curran Associates},
5323  year          = {2010},
5324  url           = {http://www.proceedings.com/05932.html},
5325  petsc_uses    = {KSP}
5326}
5327
5328@Article{         bonfiglioli_rans_2005,
5329  author        = {Paciorri, Renato and Bonfiglioli, Aldo and Di Mascio, Andrea and Favini,
5330                  Bernardo},
5331  title         = {RANS simulations of a junction flow},
5332  journal       = {International Journal of Computational Fluid Dynamics},
5333  volume        = {19},
5334  number        = {2},
5335  pages         = {179-189},
5336  year          = {2005},
5337  doi           = {10.1080/10618560410001729126},
5338  petsc_uses    = {KSP}
5339}
5340
5341@InCollection{    bonfiglioli__carpentieri_rans_2008,
5342  author        = {Bonfiglioli, A. and Carpentieri, B. and Sosonkina, M.},
5343  affiliation   = {University of Basilicata Dip.to di Ingegneria e Fisica dell’Ambiente Potenza
5344                  Italy},
5345  title         = {Performance Analysis of Parallel Algebraic Preconditioners for Solving the RANS
5346                  Equations Using Fluctuation Splitting Schemes},
5347  booktitle     = {Numerical Mathematics and Advanced Applications},
5348  editor        = {Kunisch, Karl and Of, Günther and Steinbach, Olaf},
5349  publisher     = {Springer Berlin Heidelberg},
5350  isbn          = {978-3-540-69777-0},
5351  pages         = {151-158},
5352  doi           = {10.1007/978-3-540-69777-0_17},
5353  year          = {2008},
5354  petsc_uses    = {KSP}
5355}
5356
5357@InCollection{    bonfiglioli__carpentieri_ens_2007,
5358  author        = {Bonfiglioli, Aldo and Carpentieri, Bruno and Sosonkina, Masha},
5359  affiliation   = {Dip.to di Ingegneria e Fisica dell’Ambiente, University of Basilicata, Potenza,
5360                  Italy},
5361  title         = {EulFS: A Parallel {CFD} Code for the Simulation of {Euler and Navier-Stokes}
5362                  Problems on Unstructured Grids},
5363  booktitle     = {Applied Parallel Computing. State of the Art in Scientific Computing},
5364  series        = {Lecture Notes in Computer Science},
5365  editor        = {Kågström, Bo and Elmroth, Erik and Dongarra, Jack and Wasniewski, Jerzy},
5366  publisher     = {Springer Berlin / Heidelberg},
5367  isbn          = {978-3-540-75754-2},
5368  pages         = {676-685},
5369  volume        = {4699},
5370  doi           = {10.1007/978-3-540-75755-9_83},
5371  year          = {2007},
5372  petsc_uses    = {KSP}
5373}
5374
5375@Article{         terrelscottknepleykirby08,
5376  author        = {Andy R. Terrel and L. Ridgway Scott and Matthew G. Knepley and Robert C. Kirby},
5377  title         = {Automated {FEM} Discretizations for the {Stokes} Equation},
5378  journal       = {BIT},
5379  volume        = {48},
5380  number        = {2},
5381  year          = {2008},
5382  petsc_uses    = {KSP}
5383}
5384
5385@Article{         martamadermartinsweidealonso07,
5386  author        = {A. C. Marta and C. A. Mader and J. R. R. A. Martins and E. {Van der Weide} and J.
5387                  J. Alonso},
5388  title         = {A methodology for the development of discrete adjoint solvers using automatic
5389                  differentiation tools},
5390  journal       = {Computational Fluid Dyanmics},
5391  volume        = {21},
5392  pages         = {307--327},
5393  year          = {2007},
5394  petsc_uses    = {KSP}
5395}
5396
5397@TechReport{      avb2008,
5398  author        = {V.R. Ambati and J.J.W. van der Vegt and O. Bokhove},
5399  title         = {Variational Space-time (Dis)continuous {G}alerkin Method for Linear Free Surface
5400                  Waves},
5401  year          = {2008},
5402  institution   = {University of Twente, the Netherlands},
5403  url           = {http://eprints.eemcs.utwente.nl/11714/01/memo1863.pdf},
5404  petsc_uses    = {KSP}
5405}
5406
5407@InProceedings{   bdsm2005,
5408  author        = {M. Bozkurttas and H. Dong and V. Seshadri and R. Mittal},
5409  title         = {Towards Numerical Simulation of Flapping Foils on Fixed Cartesian Grids},
5410  booktitle     = {43rd AIAA Aerospace Sciences Meeting and Exhibit},
5411  year          = {2005},
5412  url           = {http://project.seas.gwu.edu/~fsagmae/papers/AIAA_2005_0079.pdf},
5413  petsc_uses    = {KSP}
5414}
5415
5416@InProceedings{   ms2006,
5417  author        = {S. Muller and Y. Stiriba},
5418  title         = {A MULTILEVEL FINITE VOLUME METHOD WITH MULTISCALE-BASED GRID ADAPTATION FOR
5419                  STEADY COMPRESSIBLE FLOWS},
5420  booktitle     = {European Conference on Computational Fluid Dynamics: ECCOMAS CFD 2006},
5421  year          = {2006},
5422  url           = {http://www.numerical.rl.ac.uk/people/marioli/Archives/ECCOMAS-CFD-2006/documents/197.pdf},
5423  petsc_uses    = {KSP}
5424}
5425
5426@Article{         araujoteixeiracunhagroth08,
5427  author        = {B. J. Ara\'ujo and J. C. F. Teixeira and A. M. Cunha and C. P. T. Groth},
5428  title         = {Parallel three-dimensional simulation of the injection molding process},
5429  journal       = {International Journal for Numerical Methods in Fluids},
5430  year          = {2008},
5431  url           = {http://www3.interscience.wiley.com/journal/119876958/abstract?CRETRY=1&SRETRY=0},
5432  petsc_uses    = {KSP}
5433}
5434
5435@PhDThesis{       a2008,
5436  author        = {A. Cubero},
5437  title         = {a parallel coupled algorithm for collocated grids and its application to Large
5438                  Eddy Simulation of a turbulent wake},
5439  school        = {University of Zaragoza (Spain)},
5440  year          = {2008},
5441  petsc_uses    = {KSP}
5442}
5443
5444@Article{         afa2007,
5445  author        = {A. Cubero and N. Fueyo},
5446  title         = {A Compact Momentum Interpolation Method for unsteady flows and relaxation},
5447  journal       = {Numerical Heat Transfer, part B-Fundamentals},
5448  volume        = {56},
5449  number        = {6},
5450  pages         = {507--529},
5451  year          = {2007},
5452  url           = {http://www.informaworld.com/smpp/content~content=a782025305~db=all~order=page},
5453  petsc_uses    = {KSP}
5454}
5455
5456@TechReport{      af2007,
5457  title         = {Preconditioning based on a partially implicit implementation of Momentum
5458                  Interpolation for coupled solvers},
5459  institution   = {Fluid Mechanics Group of the University of Zaragoza (Spain)},
5460  year          = {2007},
5461  author        = {A. Cubero and N. Fueyo},
5462  petsc_uses    = {KSP}
5463}
5464
5465@InCollection{    dwight2004,
5466  author        = {Richard Dwight},
5467  title         = {Robust Mesh Deformation using the Linear Elasticity Equations},
5468  booktitle     = {Computational Fluid Dynamics 2006},
5469  editor        = {H. Deconinck and E. Dick},
5470  publisher     = {Springer},
5471  year          = {2006},
5472  url           = {http://www.maths.man.ac.uk/\~{
5473                  }rdwight/pub/rdwight-ICCFD4-LinElastDeformation-2006.pdf},
5474  petsc_uses    = {KSP}
5475}
5476
5477@InProceedings{   dwight2006,
5478  author        = {Richard Dwight and Joel Brezillon},
5479  title         = {Effect of Various Approximations of the Discrete Adjoint on Gradient-Based
5480                  Optimization},
5481  booktitle     = {Proceedings of the 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno NV.
5482                  AIAA-2006-0690},
5483  year          = {2006},
5484  url           = {http://www.maths.man.ac.uk/\~{ }rdwight/pub/rdwight-AIAAReno-ApproxAdjoint.pdf},
5485  petsc_uses    = {KSP}
5486}
5487
5488@PhDThesis{       dwight2006a,
5489  author        = {Richard Dwight},
5490  title         = {Efficiency Improvements of {RANS}-Based Analysis and Optimization using Implicit
5491                  and Adjoint Methods on Unstructured Grids},
5492  school        = {School of Mathematics, University of Manchester},
5493  year          = {2006},
5494  url           = {http://www.maths.man.ac.uk/\~{
5495                  }rdwight/pub/rdwight-PhDThesis-ImplicitAndAdjoint.pdf},
5496  petsc_uses    = {KSP}
5497}
5498
5499@InProceedings{   lhdfrh,
5500  author        = {M. Lauter and D. Handorf and K. Dethloff and S. Frickenhaus and N. Rakowsky and
5501                  W. Hiller},
5502  title         = {An adaptive Lagrange-Galerkin shallow-water model on the sphere},
5503  booktitle     = {Workshop Proceedings Current Development in Shallow Water Models on the Sphere
5504                  March, 10-14, 2003, Munich University of Technology, German},
5505  year          = {2003},
5506  petsc_uses    = {KSP}
5507}
5508
5509@InProceedings{   brios-ying-2002,
5510  author        = {George Biros and Lexing Ying and Denis Zorin},
5511  title         = {The Embedded Boundary Integral Method (EBI) for the Incompressible
5512                  {Navier-Stokes} equations},
5513  booktitle     = {IABEM 2002, International Association for Boundary Element Methods, UT Austin},
5514  year          = {2002},
5515  petsc_uses    = {KSP}
5516}
5517
5518@InProceedings{   mohsen-straatman-ins,
5519  author        = {S.A. Mohsen Karimian and Anthony G. Straatman},
5520  title         = {Benchmarking of a {3D}, unstructured, finite volume code for incompressible
5521                  {Navier-Stokes} equation on a cluster of distributed-memory computers},
5522  booktitle     = {Proceedings of the 19th International Symposium on High Performance Computing
5523                  Systems and Applications},
5524  pages         = {11--16},
5525  year          = {2005},
5526  url           = { http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=1430046},
5527  petsc_uses    = {KSP}
5528}
5529
5530@TechReport{      bonglioli-icnmfd98,
5531  title         = {Multidimensional Residual Distribution Schemes for the Pseudo-Compressible
5532                  {Euler} and {Navier-Stokes} equations on Unstructured Meshes},
5533  institution   = {Universita della Basilicata via della Tecnica 3},
5534  year          = {1996},
5535  author        = {A. Bonglioli},
5536  url           = {http://www.unibas.it/utenti/bonfiglioli/icnmfd98.ps.gz},
5537  petsc_uses    = {KSP}
5538}
5539
5540@Article{         deng-piquet-ctf,
5541  author        = {G. B. Deng and J. Piquet and X. Vasseur and M. Visonneau"},
5542  title         = {A new fully coupled method for computing turbulent flows},
5543  journal       = {Computers and Fluids},
5544  volume        = {30},
5545  pages         = {445--472},
5546  year          = {2001},
5547  petsc_uses    = {KSP}
5548}
5549
5550@InProceedings{   knepleysarinsameh99b,
5551  title         = {Multilevel Preconditioning for Parallel {CFD}},
5552  author        = {Matthew G. Knepley and Vivek Sarin and Ahmed H. Sameh},
5553  booktitle     = {International Conference On Preconditioning Techniques For Large Sparse Matrix
5554                  Problems In Industrial Applications},
5555  address       = {Minneapolis, MN},
5556  year          = {1999},
5557  petsc_uses    = {KSP}
5558}
5559
5560@InProceedings{   garbey1,
5561  author        = {M. Garbey and B. Hadri and W. Shyy.},
5562  title         = {Fast Elliptic Solver for Incompressible {Navier Stokes} Flow and Heat Transfer
5563                  Problems on the Grid},
5564  booktitle     = {Aerospace Sciences Meeting and Exhibit},
5565  note          = {Paper No. 2005-1386},
5566  year          = {2005},
5567  petsc_uses    = {KSP}
5568}
5569
5570@Article{         carrica2007unsteady,
5571  title         = {An unsteady single-phase level set method for viscous free surface flows},
5572  author        = {Carrica, PM and Wilson, RV and Stern, F.},
5573  journal       = {International Journal for Numerical Methods in Fluids},
5574  volume        = {53},
5575  number        = {2},
5576  pages         = {229--256},
5577  year          = {2007},
5578  publisher     = {Chichester; New York: Wiley, c1981-},
5579  petsc_uses    = {KSP}
5580}
5581
5582@Article{         pctw2004,
5583  author        = {M. S. Politano and P. M. Carrica and C. Turan and L. Weber},
5584  title         = {A Multidimensional Two-Phase Flow Model for the Total Dissolved Gas Downstream of
5585                  Spillways},
5586  journal       = {Journal of Hydraulic Research},
5587  note          = {accepted for publication},
5588  year          = {2004},
5589  petsc_uses    = {KSP}
5590}
5591
5592@Article{         wcs2004,
5593  author        = {R. V. Wilson and P. M. Carrica and F. Stern},
5594  title         = {Unsteady RANS Method for Ship Motions with Application to Roll for a Surface
5595                  Combatant},
5596  journal       = {Computers and Fluids},
5597  note          = {in press},
5598  year          = {2004},
5599  petsc_uses    = {KSP}
5600}
5601
5602@Article{         cws2005,
5603  author        = {P. M. Carrica and R. V. Wilson and F. Stern},
5604  title         = {Unsteady RANS Simulation of the Ship Forward Speed Diffraction Problem},
5605  journal       = {Computers and Fluids},
5606  note          = {accepted for publication},
5607  year          = {2005},
5608  petsc_uses    = {KSP}
5609}
5610
5611@Article{         chndss2010,
5612  author        = {P. M. Carrica and J. Huang and R. Noack and D. Kaushik and B. Smith and F.
5613                  Stern},
5614  title         = { Large-Scale {DES} Computations of the Forward Speed Diffraction and Pitch and
5615                  Heave Problems for a Surface Combatant},
5616  journal       = {Computers and Fluids},
5617  year          = {2010},
5618  volume        = {39},
5619  number        = {7},
5620  pages         = {1095--1111},
5621  petsc_uses    = {KSP}
5622}
5623
5624@InProceedings{   chnkss2008,
5625  author        = {P. M. Carrica and J. Huang and R. Noack and D. Kaushik and B. Smith and F.
5626                  Stern},
5627  title         = {Toward Large-Scale Computations of Ship Motions with Dynamic Overset Curvilinear
5628                  Grids},
5629  booktitle     = {Proceedings of the 27th Symposium on Naval Hydrodynamics, Seoul, Korea},
5630  year          = {2008},
5631  petsc_uses    = {KSP}
5632}
5633
5634@MastersThesis{   mtj,
5635  author        = {M. T. Jozkowski},
5636  title         = {Application of Algebraic Multigrid Methods to the Solution of Stratified Flows
5637                  About Submerged Bodies},
5638  school        = {The Pennsylvania State University},
5639  year          = {2005},
5640  petsc_uses    = {KSP}
5641}
5642
5643@Article{         pp,
5644  author        = {E. G. Paterson and L. J. Peltier},
5645  title         = {Detached-Eddy Simulation of High Reynolds Number Beveled-Trailing-Edge Flows and
5646                  Wakes},
5647  journal       = {ASME Journal of Fluids Engineering},
5648  note          = {In press},
5649  year          = {2005},
5650  petsc_uses    = {KSP}
5651}
5652
5653@Article{         eps,
5654  author        = {B. A. Edge and E. G. Paterson and G. Settles},
5655  title         = {Computational Study of the Wake and Contaminant Transport of a Walking Human},
5656  journal       = {ASME Journal of Fluids Engineering},
5657  note          = {In press},
5658  year          = {2005},
5659  petsc_uses    = {KSP}
5660}
5661
5662@InProceedings{   rp,
5663  author        = {B. Racine and E. G. Paterson},
5664  title         = {Computation of Maneuvering Coefficients for Non-Body-of-Revolution Submarines
5665                  Using Unsteady {RANS} {CFD}},
5666  booktitle     = {35th AIAA Fluid Dynamics Conference and Exhibit},
5667  year          = {2005},
5668  petsc_uses    = {KSP}
5669}
5670
5671@InProceedings{   etpp,
5672  author        = {B. A. Edge and M. F. Trujillo and E. G. Paterson and L. J. Peltier},
5673  title         = {Prediction of Forces and Moments on a Sonobuoy Configuration Using Overset Grids
5674                  and DES},
5675  booktitle     = {7th Overset Composite Grid and Solution Technology Symposium},
5676  year          = {2004},
5677  petsc_uses    = {KSP}
5678}
5679
5680@InProceedings{   pp8,
5681  author        = {E. G. Paterson and L. J. Peltier},
5682  title         = {Localized turbulence simulation for naval hydrodynamics: issues in using overset
5683                  refinement grids and detached-eddy simulation},
5684  booktitle     = {7th Overset Composite Grid and Solution Technology Symposium},
5685  year          = {2004},
5686  petsc_uses    = {KSP}
5687}
5688
5689@InProceedings{   mzwp,
5690  author        = {R. Meyer and F. J. Zajackowski and W. A. Straka,and E. G. Paterson},
5691  title         = {Experimental and Computational Study of Cavitation Inception on Co-Flow Nozzles},
5692  booktitle     = {25th Symposium on Naval Hydrodynamics},
5693  year          = {2004},
5694  petsc_uses    = {KSP}
5695}
5696
5697@InProceedings{   ppph,
5698  author        = {E. G. Paterson and J. E. Poremba and L. J. Peltier and S. A. Hambric},
5699  title         = {A Physics-Based Simulation Methodology for Predicting Trailing-Edge Singing},
5700  booktitle     = {25th Symposium on Naval Hydrodynamics},
5701  year          = {2004},
5702  petsc_uses    = {KSP}
5703}
5704
5705@InProceedings{   ppd,
5706  author        = {E. G. Paterson and L. J. Peltier},
5707  title         = {Detached-Eddy Simulation of High Reynolds Number Trailing-Edge Flows and Wakes},
5708  booktitle     = {Symposium on LES Advancements and Applications, ASME FED Summer Meeting},
5709  year          = {2004},
5710  petsc_uses    = {KSP}
5711}
5712
5713@InProceedings{   bp,
5714  author        = {W. J. Baker and E. G. and Paterson},
5715  title         = {Simulation of Steady Circulation Control for the General Aviation Circulation
5716                  Control Wing},
5717  booktitle     = {NASA/ONR Workshop on Circulation Control},
5718  year          = {2004},
5719  petsc_uses    = {KSP}
5720}
5721
5722@InProceedings{   pb,
5723  author        = {E. G. Paterson and W. J. Baker},
5724  title         = {RANS and Detached-Eddy Simulation of the NCCR airfoil},
5725  booktitle     = {NASA/ONR Workshop on Circulation Control},
5726  year          = {2004},
5727  petsc_uses    = {KSP}
5728}
5729
5730@InProceedings{   pb3,
5731  author        = {E. G. Paterson and W. J. Baker},
5732  title         = {Simulation of Steady and Pulsed Circulation Controlfor Marine-Vehicle Control
5733                  Surfaces},
5734  booktitle     = {42nd AIAA Aerospace Sciences Meeting},
5735  year          = {2004},
5736  petsc_uses    = {KSP}
5737}
5738
5739@InProceedings{   gid1,
5740  author        = {G. Frank and J. D'Elia},
5741  title         = {{CFD} Modelling of the Flow Around the {Ahmed} Vehicle Model},
5742  year          = {2004},
5743  booktitle     = {Proceedings of the 2nd Conference on Advances and Applications of GiD},
5744  url           = {http://www.gid.cimne.upc.es/2004/papers/p216.pdf},
5745  petsc_uses    = {KSP}
5746}
5747
5748@InBook{          b1,
5749  author        = {A.Bonfiglioli},
5750  chapter       = {On the use of the PETSc library for unstructured {CFD} applications},
5751  year          = {2001},
5752  title         = {Science and Supercomputing at CINECA},
5753  pages         = {397--400},
5754  petsc_uses    = {KSP}
5755}
5756
5757@InProceedings{   b2004,
5758  author        = {L. A. Barba},
5759  title         = {Computing high-Reynolds number vortical flows: a highly accurate method with a
5760                  fully meshless formulation},
5761  year          = {2004},
5762  booktitle     = {International Conference on Parallel CFD, Grand Canary, May 2004},
5763  note          = {Submitted},
5764  petsc_uses    = {KSP}
5765}
5766
5767@InProceedings{   bl2004,
5768  author        = {L. A. Barba and A. Leonard},
5769  title         = {Computation of Viscous Vortices with Fully Meshless Method},
5770  year          = {2004},
5771  booktitle     = {Proceedings of ICTAM meeting in Warsaw, August 2004},
5772  note          = {Submitted},
5773  petsc_uses    = {KSP}
5774}
5775
5776@Article{         vws1,
5777  author        = {B. G. M. Van Wachem and J. C. Schouten},
5778  title         = {Experimental Validation of 3-D Lagrangian VOF Model: Bubble Shape and Rise
5779                  Velocity},
5780  institution   = {Laboratory of Chemical Reactor Engineering, Department of Chemical Engineering
5781                  and Chemistry, Eindhoven University of Technology, 5600 MB Eindhoven, The
5782                  Netherlands},
5783  journal       = {AIChE},
5784  volumne       = {48},
5785  number        = {12},
5786  month         = dec,
5787  year          = {2002},
5788  petsc_uses    = {KSP}
5789}
5790
5791@TechReport{      lbam1,
5792  author        = {P. Leggiero and A. Bonfiglioli and P. Amodio and F. Mazzi},
5793  title         = {Precondizionatori paralleli per la fluidodinamica computazionale},
5794  institution   = {Dipartimento Interuniversitario di Matematica Universiti degli Studi-Politecnico
5795                  di Bari Italy},
5796  year          = {2002},
5797  number        = {25/02},
5798  petsc_uses    = {KSP}
5799}
5800
5801@Article{         kees_miller_02,
5802  author        = {C. E. Kees and C. T. Miller},
5803  title         = {Higher Order Time Integration Methods for Two-Phase Flow},
5804  journal       = {Advances in Water Resources},
5805  year          = {2002},
5806  volume        = {25},
5807  number        = {2},
5808  pages         = {159-177.},
5809  petsc_uses    = {KSP}
5810}
5811
5812@InProceedings{   lepotmeersessers2001,
5813  author        = {I. Lepot and F. Meers and J.A. Essers},
5814  title         = {Multilevel Parallel High Order Schemes for Invisid Flow Computations on 3D
5815                  Unstructured Meshes},
5816  year          = {2001},
5817  booktitle     = {ECCOMAS Computational Fluid Dynamics Conference 2001},
5818  url           = {http://www.ulg.ac.be/aerodyn},
5819  petsc_uses    = {KSP}
5820}
5821
5822@InProceedings{   knepley98,
5823  author        = {Matthew Knepley and Denis Vanderstraeten},
5824  title         = {Parallel Building Blocks for Finite Element Simulations: Application to
5825                  Solid-Liquid Mixture Flows},
5826  booktitle     = {Proceedings of Parallel CFD'97},
5827  publisher     = {Elsevier},
5828  pages         = {281--287},
5829  year          = {1998},
5830  petsc_uses    = {KSP}
5831}
5832
5833@InProceedings{   pcfd97,
5834  author        = {William D. Gropp and David E. Keyes and Lois Curfman McInnes and M. D. Tidriri},
5835  title         = {Parallel Implicit {PDE} Computations: Algorithms and Software},
5836  publisher     = {Elsevier},
5837  year          = {1998},
5838  booktitle     = {Proceedings of Parallel CFD'97},
5839  pages         = {333-344},
5840  petsc_uses    = {KSP}
5841}
5842
5843@InProceedings{   knepleysamehsari98,
5844  author        = {Matthew Knepley and Ahmed H. Sameh and Vivek Sarin},
5845  title         = {Parallel Simulation of Particulate Flows},
5846  booktitle     = {Solving Irregularly Structured Problems in Parallel},
5847  editors       = {A. Ferreira et al},
5848  year          = {1998},
5849  series        = {Lecture Notes in Computer Science},
5850  volume        = {1457},
5851  pages         = {226--237},
5852  petsc_uses    = {KSP}
5853}
5854
5855@Article{         gkmt98,
5856  author        = {William D. Gropp and David E. Keyes and Lois Curfman McInnes and M. D. Tidriri},
5857  title         = {Globalized {N}ewton-{K}rylov-{S}chwarz Algorithms and Software for Parallel
5858                  Implicit {CFD}},
5859  journal       = {Int. J. High Performance Computing Applications},
5860  year          = {2000},
5861  volume        = {14},
5862  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P788.ps.Z},
5863  pages         = {102-136},
5864  petsc_uses    = {KSP}
5865}
5866
5867@InProceedings{   agkks-sc99,
5868  author        = {W. K. Anderson and W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F.
5869                  Smith},
5870  title         = {Achieving High Sustained Performance in an Unstructured Mesh {CFD} Application},
5871  booktitle     = {ACM/IEEE Proc. of SC 99: High Performance Networking and Computing},
5872  editor        = {},
5873  publisher     = {},
5874  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P776.ps.Z},
5875  year          = {1999},
5876  note          = {Winner of Gordon Bell Special Prize at SC 99},
5877  petsc_uses    = {KSP}
5878}
5879
5880@Article{         gkks01,
5881  author        = {W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F. Smith},
5882  title         = {High Performance Parallel Implicit {CFD}},
5883  journal       = {Journal of Parallel Computing},
5884  year          = {2001},
5885  volume        = {27},
5886  pages         = {337-362},
5887  url           = {http://www.mcs.anl.gov/petsc-fun3d/Papers/manke.pdf},
5888  petsc_uses    = {KSP}
5889}
5890
5891@Article{         cristea-sofonea-02,
5892  author        = {Artur Cristea and Victor Sofonea},
5893  title         = {Finite Difference lattice Boltzmann model for Liquid Vapour Systems},
5894  journal       = {Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical
5895                  Sciences, Information Sciences},
5896  volume        = {3},
5897  number        = {3},
5898  year          = {2002},
5899  petsc_uses    = {KSP}
5900}
5901
5902@Article{         cristea2,
5903  author        = {Artur Cristea and Victor Sofonea},
5904  title         = {Two component lattice Boltzmann model with flux limiter techniques},
5905  journal       = {Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical
5906                  Sciences, Information Sciences},
5907  volume        = {4},
5908  number        = {1},
5909  year          = {2003},
5910  pages         = {59--64},
5911  petsc_uses    = {KSP}
5912}
5913
5914@Article{         cristea1,
5915  author        = {Artur Cristea and Victor Sofonea},
5916  title         = {Two component lattice Boltzmann model with flux limiters},
5917  journal       = {Central European Journal of Physics},
5918  volume        = {2},
5919  number        = {2},
5920  year          = {2004},
5921  pages         = {382--396},
5922  petsc_uses    = {KSP}
5923}
5924
5925@Article{         sofnea-lamura1,
5926  author        = {Victor Sofonea and Antonio Lamura and Giuseppe Gonnella and Artur Cristea},
5927  title         = {Finite-difference lattice Boltzmann model with flux limiters for liquid-vapor
5928                  systems},
5929  journal       = {Physical Review E},
5930  volume        = {70},
5931  number        = {4},
5932  year          = {2004},
5933  pages         = {046702-1 / 046702-9},
5934  petsc_uses    = {KSP}
5935}
5936
5937@InProceedings{   gkks01b,
5938  author        = {W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F. Smith},
5939  title         = {Latency, Bandwidth, and Concurrent Issue Limitations in High-Performance {CFD}},
5940  booktitle     = {Proceedings of the First MIT Conference on Computational Fluid and Solid
5941                  Mechanics},
5942  editor        = {},
5943  location      = {Cambridge, MA},
5944  year          = {2001},
5945  month         = jun,
5946  url           = {http://www.mcs.anl.gov/petsc-fun3d/Papers/mit01.pdf},
5947  petsc_uses    = {KSP}
5948}
5949
5950@InProceedings{   gkks00,
5951  author        = {W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F. Smith},
5952  title         = {Understanding the Parallel Scalability of An Implicit Unstructured Mesh {CFD}
5953                  Code},
5954  booktitle     = {Proceedings of the 7th International Conference on High Performance Computing
5955                  (HiPC '2000)},
5956  editor        = {},
5957  location      = {Bangalore, India},
5958  year          = {2000},
5959  pages         = {395--404},
5960  url           = {http://www.mcs.anl.gov/petsc-fun3d/Papers/hipc00.pdf},
5961  petsc_uses    = {KSP}
5962}
5963
5964@InProceedings{   gkks-sc00,
5965  author        = {W. D. Gropp and D. K. Kaushik and D. E. Keyes and B. F. Smith},
5966  title         = {Performance Modeling and Tuning of an Unstructured Mesh {CFD} Application},
5967  booktitle     = {Proceedings of SC2000},
5968  editor        = {},
5969  publisher     = {IEEE Computer Society},
5970  year          = {2000},
5971  url           = {http://www.mcs.anl.gov/petsc-fun3d/Papers/sc00.pdf},
5972  petsc_uses    = {KSP}
5973}
5974
5975@InProceedings{   knepleysamehsarin99,
5976  author        = {Matthew Knepley and Ahmed H. Sameh and Vivek Sarin},
5977  title         = {Design of Large Scale Parallel Simulations},
5978  booktitle     = {Proceedings of Parallel CFD'99},
5979  editors       = {A. {Ecer et al.}},
5980  publisher     = {Elsevier},
5981  year          = {1999},
5982  petsc_uses    = {KSP}
5983}
5984
5985@InProceedings{   gkks-pcfd99,
5986  author        = {William D. Gropp and Dinesh K. Kaushik and David E. Keyes and Barry F. Smith},
5987  title         = {Towards Realistic Performance Bounds for Implicit {CFD} codes},
5988  booktitle     = {Proceedings of Parallel CFD'99},
5989  editors       = {A. {Ecer et al.}},
5990  publisher     = {Elsevier},
5991  url           = {http://www.cs.odu.edu/~keyes/papers/pcfd99_gkks.pdf},
5992  year          = {1999},
5993  petsc_uses    = {KSP}
5994}
5995
5996@InProceedings{   kks97,
5997  author        = {D. K. Kaushik and D. E. Keyes and B. F. Smith},
5998  title         = {On the Interaction of Architecture and Algorithm in the Domain-Based
5999                  Parallelization of an Unstructured Grid Incompressible Flow Code},
6000  booktitle     = {Proceedings of the 10th International Conference on Domain Decomposition
6001                  Methods},
6002  editor        = {J. Mandel et al.},
6003  pages         = {311--319},
6004  publisher     = {Wiley},
6005  note          = {},
6006  year          = {1997},
6007  petsc_uses    = {KSP}
6008}
6009
6010@InProceedings{   kks99,
6011  author        = {D. K. Kaushik and D. E. Keyes and B. F. Smith},
6012  title         = {{N}ewton-{K}rylov-{S}chwarz Methods for Aerodynamic Problems: Compressible and
6013                  Incompressible Flows on Unstructured Grids},
6014  booktitle     = {Proceedings of the 11th International Conference on Domain Decomposition
6015                  Methods},
6016  editors       = {C.-H. {Lai et al.}},
6017  publisher     = {Domain Decomposition Press, Bergen},
6018  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P745.ps.Z},
6019  year          = {1999},
6020  petsc_uses    = {KSP}
6021}
6022
6023@InCollection{    kks97_cfd,
6024  author        = {D. E. Keyes and D. K. Kaushik and B. F. Smith},
6025  title         = {Perspectives for {CFD} on Petaflops Systems},
6026  booktitle     = {CFD Review 1998},
6027  editor        = {M. Hafez and K. Oshima},
6028  publisher     = {World Scientific, Singapore},
6029  pages         = {1079--1096},
6030  note          = {},
6031  year          = {1998},
6032  petsc_uses    = {KSP}
6033}
6034
6035@Article{         hm99,
6036  author        = {P. D. Hovland and L. C. McInnes},
6037  title         = {Parallel Simulation of Compressible Flow Using Automatic Differentiation and
6038                  {PETSc}},
6039  year          = {2000},
6040  journal       = {Parallel Computing},
6041  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P796.ps.Z},
6042  note          = {special issue of Parallel Computing on ``Parallel Computing in Aerospace''},
6043  petsc_uses    = {KSP}
6044}
6045
6046@InProceedings{   cruzbarbaknepley08,
6047  author        = {Felipe A. Cruz and Lorena A. Barba and Matthew G. Knepley},
6048  title         = {Fast Multipole Method for particle interactions: an open source parallel library
6049                  component},
6050  booktitle     = {Proceedings of ParCFD2008},
6051  year          = {2008},
6052  editor        = {Tromeur-Dervout et. al.},
6053  publisher     = {Elsevier},
6054  petsc_uses    = {KSP}
6055}
6056
6057@Article{         hwangcai05,
6058  author        = {F.-N. Hwang and X.-C. Cai},
6059  title         = {A parallel nonlinear additive {Schwarz} preconditioned inexact {Newton} algorithm
6060                  for incompressible {Navier-Stokes} equations},
6061  journal       = {J. Comput. Phys.},
6062  volume        = {204},
6063  year          = {2005},
6064  pages         = {666--691},
6065  petsc_uses    = {KSP}
6066}
6067
6068@Article{         barbaleonard07,
6069  author        = {Lorena A Barba and Anthony Leonard},
6070  title         = {Emergence and evolution of tripole vortices from net-circulation initial
6071                  conditions},
6072  journal       = {Phys. Fluids},
6073  volume        = {19},
6074  pages         = {017101},
6075  year          = {2007},
6076  doi           = {10.1063/1.2409734},
6077  petsc_uses    = {KSP}
6078}
6079
6080@Article{         barba07,
6081  author        = {Lorena A Barba},
6082  title         = {Non-shielded multipolar vortices at high Reynolds number},
6083  journal       = {Phys. Rev. E},
6084  volume        = {73},
6085  pages         = {065303},
6086  year          = {2006},
6087  doi           = {10.1103/PhysRevE.73.065303},
6088  petsc_uses    = {KSP}
6089}
6090
6091@Article{         schofield2010multi,
6092  title         = {Multi-material incompressible flow simulation using the moment-of-fluid method},
6093  author        = {Schofield, S.P. and Christon, M.A. and Dyadechko, V. and Garimella, R.V. and
6094                  Lowrie, R.B. and Swartz, B.K.},
6095  journal       = {International Journal for Numerical Methods in Fluids},
6096  volume        = {63},
6097  number        = {8},
6098  pages         = {931--952},
6099  year          = {2010},
6100  publisher     = {Wiley Online Library},
6101  petsc_uses    = {KSP}
6102}
6103
6104% LiteralHTML:
6105% LiteralHTML:  <a name="wave"><H3><center>Wave propagation and the Helmholtz equation</center></H3>
6106% LiteralHTML:
6107% LiteralHTML: article{DeGersem99,
6108% LiteralHTML:   author = {Ji Wng and Yu Wang and Wen-ke Hu and Jian-ke Du},
6109% LiteralHTML:   title  = {The high performance of finite element analysis and applications of surface acoustic waves in finite elastic solids},
6110% LiteralHTML: }
6111@Article{         nagler2014,
6112  title         = {Sound transmission through a poroelastic layered panel},
6113  author        = {Loris Nagler and Ping Rong and Martin Schanz and Otto von Estorff},
6114  journal       = {Computational Mechanics},
6115  volume        = {53},
6116  number        = {4},
6117  pages         = {549--560},
6118  issn          = {1432-0924},
6119  doi           = {10.1007/s00466-013-0916-x},
6120  year          = {2014},
6121  petsc_uses    = {KSP}
6122}
6123
6124@Article{         sheikh2013,
6125  author        = {Sheikh, A. H. and Lahaye, D. and Vuik, C.},
6126  title         = {On the convergence of shifted {L}aplace preconditioner combined with multilevel
6127                  deflation},
6128  journal       = {Numerical Linear Algebra with Applications},
6129  volume        = {20},
6130  number        = {4},
6131  issn          = {1099-1506},
6132  doi           = {10.1002/nla.1882},
6133  pages         = {645--662},
6134  keywords      = {Helmholtz equation, shifted Laplace preconditioner, multigrid deflation, Fourier
6135                  analysis},
6136  year          = {2013},
6137  petsc_uses    = {KSP}
6138}
6139
6140@InProceedings{   silence,
6141  author        = {J.M. and Alonso and G. Garcia and V. Hernandez and F.D. Denia and F.J.
6142                  Fuenmayor},
6143  title         = {A parallel computing approach for solving the Helmholtz equation in 3D domains:
6144                  Application to the study of acoustic behaviour of silencers},
6145  year          = {2004},
6146  booktitle     = {Eurppean Congress on Computational Methods in Applied Sciences and Engineering
6147                  (ECCOMAS)},
6148  petsc_uses    = {KSP}
6149}
6150
6151@Article{         degersem99,
6152  author        = {H. De Gersem and Domenico Lahaye and S. Vandewalle and K. Hameyer},
6153  title         = {Comparison of Quasi Minimal Residual and Bi-Conjugate Gradient Iterative Methods
6154                  to Solve Complex Symmetric Systems Arising from Time-Harmonic Simulations},
6155  journal       = {COMPEL},
6156  year          = {1999},
6157  volume        = {18},
6158  number        = {3},
6159  pages         = {298--310},
6160  bibdate       = {},
6161  petsc_uses    = {KSP}
6162}
6163
6164@InProceedings{   widlund-wave-98,
6165  author        = {Olof B. Widlund},
6166  title         = {Schwarz Methods for {H}elmholtz's Equation},
6167  booktitle     = {Mathematical and Numerical Aspects of Wave Propagation},
6168  editor        = {John A. DeSanto},
6169  year          = {1998},
6170  publisher     = {SIAM},
6171  pages         = {620--622},
6172  address       = {Philadelphia},
6173  note          = {Proceedings of the Fourth International Conference on Mathematical and Numerical
6174                  Aspects of Wave Propagation, Golden, Colorado, June 1--5},
6175  petsc_uses    = {KSP}
6176}
6177
6178@InProceedings{   toselli-wave-98,
6179  author        = {Andrea Toselli},
6180  title         = {Overlapping {S}chwarz Methods for {M}axwell's Equations in Conductive Media},
6181  booktitle     = {Mathematical and Numerical Aspects of Wave Propagation},
6182  editor        = {John A. DeSanto},
6183  year          = {1998},
6184  publisher     = {SIAM},
6185  address       = {Philadelphia},
6186  pages         = {540--542},
6187  note          = {Proceedings of the Fourth International Conference on Mathematical and Numerical
6188                  Aspects of Wave Propagation, Golden, Colorado, June 1--5},
6189  petsc_uses    = {KSP}
6190}
6191
6192@InProceedings{   mcinnes-wave-98,
6193  author        = {L. C. McInnes and R. Susan-Resiga and H. M. Atassi and D. E. Keyes},
6194  title         = {Parallel Solution of {H}elmholtz Problems using Additive {S}chwarz Methods},
6195  booktitle     = {Mathematical and Numerical Aspects of Wave Propagation},
6196  editor        = {John A. DeSanto},
6197  year          = {1998},
6198  publisher     = {SIAM},
6199  address       = {Philadelphia},
6200  pages         = {623--625},
6201  note          = {Proceedings of the Fourth International Conference on Mathematical and Numerical
6202                  Aspects of Wave Propagation, Golden, Colorado, June 1--5},
6203  petsc_uses    = {KSP}
6204}
6205
6206@InProceedings{   mska98,
6207  author        = {L. C. McInnes and R. Susan-Resiga and D. E. Keyes and H. M. Atassi},
6208  title         = {Additive {S}chwarz Methods with Nonreflecting Boundary Conditions for the
6209                  Parallel Computation of {H}elmholtz Problems},
6210  booktitle     = {Proceedings of the 10th Intl. Conf. on Domain Decomposition Methods},
6211  editor        = {J. Mandel et al.},
6212  publisher     = {AMS},
6213  pages         = {349--357},
6214  year          = {1998},
6215  petsc_uses    = {KSP}
6216}
6217
6218@InProceedings{   ccew98,
6219  author        = {X.-C. Cai and M. A. Casarin, Jr. and F. W. Elliott, Jr. and O. B. Widlund},
6220  title         = {Overlapping {S}chwarz Algorithms for Solving {H}elmholtz's Equation},
6221  booktitle     = {Proceedings of the 10th Intl. Conf. on Domain Decomposition Methods},
6222  editor        = {J. Mandel et al.},
6223  publisher     = {AMS},
6224  pages         = {437-445},
6225  year          = {1998},
6226  petsc_uses    = {KSP}
6227}
6228
6229@InProceedings{   ra98a,
6230  author        = {R. Susan-Resiga and H. M. Atassi},
6231  title         = {Parallel Computing Using {S}chwarz Domain Decomposition Method for Aeroacoustic
6232                  Problems},
6233  booktitle     = {Proceedings of the 4th AIAA/CEAS Aeroacoustics Conference},
6234  publisher     = {AIAA},
6235  pages         = {86-96},
6236  note          = {AIAA paper 98-2218},
6237  year          = {1998},
6238  petsc_uses    = {KSP}
6239}
6240
6241@InProceedings{   ar98c,
6242  author        = {H. M. Atassi and R. Susan-Resiga},
6243  title         = {Parallel Computation of Harmonic Waves using Domain Decomposition, Part {I}:
6244                  General Formulation},
6245  booktitle     = {Proceedings of the ASME Noise Control and Acoustics Division},
6246  publisher     = {ASME},
6247  note          = {NCA-25},
6248  pages         = {375-379},
6249  year          = {1998},
6250  petsc_uses    = {KSP}
6251}
6252
6253@InProceedings{   ra98b,
6254  author        = {R. Susan-Resiga and H. M. Atassi},
6255  title         = {Parallel Computation of Harmonic Waves using Domain Decomposition, Part {II}:
6256                  Numerical Implementation and Applications},
6257  booktitle     = {Proceedings of the ASME Noise Control and Acoustics Division},
6258  publisher     = {ASME},
6259  note          = {NCA-25},
6260  pages         = {381 -388},
6261  year          = {1998},
6262  petsc_uses    = {KSP}
6263}
6264
6265@InProceedings{   cai-dd10-98,
6266  author        = {Xiao-Chuan Cai and Mario A. Casarin and Frank W. Elliott, Jr. and Olof B.
6267                  Widlund},
6268  title         = {Overlapping {S}chwarz methods for solving {H}elmholtz's Equation},
6269  booktitle     = {Domain Decomposition Methods 10},
6270  editors       = {Jan Mandel and Charbel Farhat and Xiao-Chuan Cai},
6271  series        = {Contemporary Mathematics},
6272  volume        = {218},
6273  publisher     = {American Mathematical Society},
6274  address       = {Providence, Rhode Island},
6275  year          = {1998},
6276  pages         = {437--445},
6277  petsc_uses    = {KSP}
6278}
6279
6280@InProceedings{   alghamdi2011petclaw,
6281  title         = {Pet{C}law: A Scalable Parallel Nonlinear Wave Propagation Solver for {P}ython},
6282  booktitle     = {Proceedings of SpringSim 2011},
6283  publisher     = {ACM},
6284  author        = {Amal Alghamdi and Aron Ahmadia and David I. Ketcheson and Matthew G. Knepley and
6285                  Kyle T. Mandli and Lisandro Dalcin},
6286  year          = {2011},
6287  petsc_uses    = {KSP}
6288}
6289
6290@Article{         pyclaw2012,
6291  author        = {David I. Ketcheson and Kyle T. Mandli and Aron J. Ahmadia and Amal Alghamdi and
6292                  Manuel Quezada de Luna and Matteo Parsani and Matthew G. Knepley and Matthew
6293                  Emmett},
6294  title         = {{PyClaw}: Accessible, Extensible, Scalable Tools for Wave Propagation Problems},
6295  journal       = {SIAM Journal on Scientific Computing},
6296  volume        = {34},
6297  number        = {4},
6298  pages         = {C210--C231},
6299  note          = {\url{http://arxiv.org/abs/1111.6583}},
6300  year          = {2012},
6301  petsc_uses    = {KSP}
6302}
6303
6304% LiteralHTML:
6305% LiteralHTML:  <a name="optimization"><H3><center>Optimization</center></H3>
6306% LiteralHTML:
6307@Article{         sojkahorakhaplacermak2018,
6308  title         = {The impact of enabling multiple subdomains per MPI process in the TFETI domain
6309                  decomposition method},
6310  author        = {Radim Sojka and David Hor{\'a}k and V{\'a}clav Hapla and Martin {\v{C}}erm{\'a}k},
6311  journal       = {Applied Mathematics and Computation},
6312  volume        = {319},
6313  pages         = {586--597},
6314  year          = {2018},
6315  petsc_uses    = {KSP}
6316}
6317
6318@Article{         chencai2014,
6319  title         = {A parallel two-level domain decomposition based one-shot method for shape
6320                  optimization problems},
6321  author        = {Rongliang Chen and Xiao‐Chuan Cai},
6322  journal       = {International Journal for Numerical Methods in Engineering},
6323  volume        = {99},
6324  number        = {13},
6325  year          = {2014},
6326  doi           = {10.1002/nme.4711},
6327  petsc_uses    = {KSP}
6328}
6329
6330@PhDThesis{       prudencio2005,
6331  author        = {Ernesto Prudencio},
6332  title         = {Parallel Fully Coupled {Lagrange-Newton-Krylov-Schwarz} Algorithms and Software
6333                  for Optimization Problems Constrained by Partial Differential Equations},
6334  school        = {University of Colorado, Boulder},
6335  year          = {2005},
6336  petsc_uses    = {KSP}
6337}
6338
6339@Article{         prudenciocai2007,
6340  title         = {Parallel multilevel restricted {Schwarz} preconditioners with pollution removing
6341                  for {PDE}-constrained optimization},
6342  author        = {Ernesto Prudencio and X. C. Cai},
6343  journal       = {SIAM J. Sci. Comp.},
6344  volume        = {29},
6345  number        = {3},
6346  pages         = {964--985},
6347  year          = {2007},
6348  petsc_uses    = {KSP}
6349}
6350
6351@Article{         prudenciobyrdcai2006,
6352  author        = {Ernesto Prudencio and R. Byrd and X. C. Cai},
6353  title         = {Parallel full space {SQP Lagrange-Newton-Krylov-Schwarz} algorithms for
6354                  {PDE}-constrained Optimization Problems},
6355  journal       = {SIAM J. Sci. Comp.},
6356  volume        = {27},
6357  pages         = {1305--1328},
6358  year          = {2006},
6359  petsc_uses    = {KSP}
6360}
6361
6362@InProceedings{   prudenciobyrdcai2004,
6363  title         = {Domain decomposition methods for {PDE}-constrained optimization problems},
6364  author        = {Ernesto Prudencio and R. Byrd and X. C. Cai},
6365  booktitle     = {VECPAR 2004},
6366  editor        = {M. Dayde and J. Dongarra and V. Hernandex and J. Palma},
6367  publisher     = {Springer},
6368  pages         = {569--582},
6369  year          = {2004},
6370  petsc_uses    = {KSP}
6371}
6372
6373@Article{         belhamadia-fortin-pcp,
6374  author        = {Youssef Belhamadia and Andre Fortin and Eric Chamberland},
6375  title         = {Three-dimensional anisotropic mesh adaptation for phase change problems},
6376  journal       = {Journal of Computational Physics},
6377  volume        = {201},
6378  pages         = {753-770},
6379  year          = {2004},
6380  url           = {http://portal.acm.org/citation.cfm?id=1055817.1055834#references},
6381  petsc_uses    = {KSP}
6382}
6383
6384@Article{         biros00,
6385  author        = {George Biros and Omar Ghattas},
6386  title         = {A {Lagrange-Newton-Krylov-Schur} Method for {PDE} Constrained Optimization},
6387  journal       = {SIAG-Opt Views and News},
6388  volume        = {11},
6389  number        = {2},
6390  year          = {2000},
6391  month         = aug,
6392  url           = {http://www.cs.cmu.edu/\~{ }oghattas/papers/siag-opt/siag-opt.pdf},
6393  petsc_uses    = {KSP}
6394}
6395
6396@Article{         bmm01,
6397  author        = {Steve Benson and Lois Curfman McInnes and Jorge Mor\'{e}},
6398  journal       = {ACM Transactions on Mathematical Software},
6399  title         = {A case study in the performance and scalability of optimization algorithms},
6400  year          = {2001},
6401  volume        = {27},
6402  number        = {3},
6403  pages         = {361--376},
6404  petsc_uses    = {KSP}
6405}
6406
6407@InProceedings{   oghattas1999,
6408  author        = {George Biros and Omar Ghattas},
6409  title         = {Parallel preconditioners for {KKT} systems arising in optimal control of viscous
6410                  incompressible flows},
6411  booktitle     = {Proceedings of Parallel CFD '99, Williamsburg, Virginia, USA, May 23-26, 1999},
6412  url           = {http://www.cs.cmu.edu/\~{ }oghattas/papers/pcfd99/pcfd99.pdf},
6413  year          = {1999},
6414  petsc_uses    = {KSP}
6415}
6416
6417@InProceedings{   hkms00,
6418  title         = {Using Automatic Differentiation for Second-order Matrix-free Methods in
6419                  PDE-constrained Optimization},
6420  author        = {P. D. Hovland and D. E. Keyes and L. C. McInnes and W. Samyono},
6421  url           = {http://www.icase.edu/\~{ }keyes/papers/ad2000.ps},
6422  booktitle     = {Automatic Differentiation of Algorithms: From Simulation to Optimization},
6423  editor        = {George Corliss and Christ\`{e}le Faure and Andreas Griewank and Laurent
6424                  Hasco\"{e}t and Uwe Naumann},
6425  publisher     = {Springer},
6426  year          = {2002},
6427  petsc_uses    = {KSP}
6428}
6429
6430% old version: replace with biros2005pln1
6431@TechReport{      bg011,
6432  author        = {George Biros and Omar Ghattas},
6433  title         = {Parallel Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization.
6434                  Part I: The Krylov-Schur Solver},
6435  institution   = {Laboratory for Mechanics, Algorithms, and Computing, Carnegie Mellon University},
6436  year          = {2001},
6437  url           = {http://www.cs.cmu.edu/\~{ }oghattas/papers/lnks/lnks1.pdf},
6438  petsc_uses    = {KSP}
6439}
6440
6441% old version: replace with biros2005pln2
6442@TechReport{      bg012,
6443  author        = {George Biros and Omar Ghattas},
6444  title         = {Parallel {Lagrange-Newton-Krylov-Schur} Methods for {PDE}-Constrained
6445                  Optimization. Part II: The {Lagrange-Newton} Solver, and its Application to
6446                  Optimal Control of Steady Viscous Flows},
6447  institution   = {Laboratory for Mechanics, Algorithms, and Computing, Carnegie Mellon University},
6448  year          = {2001},
6449  url           = {http://www.cs.cmu.edu/\~{ }oghattas/papers/lnks/lnks2.pdf},
6450  petsc_uses    = {KSP}
6451}
6452
6453% LiteralHTML:
6454% LiteralHTML:  <a name="fastmethods"><H3><center>Fast Algorithms</center></H3>
6455% LiteralHTML:
6456@InProceedings{   ly2003,
6457  author        = {Lexing Ying and G. Biros and D. Zorin and H. Langston},
6458  title         = {A New Parallel Kernel-independent Fast Multipole Method},
6459  booktitle     = {Proceedings of the ACM/IEEE conference on Supercomputing 2003},
6460  year          = {2003},
6461  note          = {Winner of the Best Student Paper at SC2003},
6462  petsc_uses    = {KSP}
6463}
6464
6465@Article{         yokotabarbaknepley10,
6466  author        = {Rio Yokota and L A Barba and Matthew G Knepley},
6467  title         = {{PetRBF} -- A parallel {O(N)} algorithm for radial basis function interpolation},
6468  journal       = {Computer Methods in Applied Mechanics and Engineering},
6469  volume        = {199},
6470  number        = {25-28},
6471  pages         = {1793--1804},
6472  url           = {http://arxiv.org/abs/0909.5413v1},
6473  note          = {\url{http://arxiv.org/abs/0909.5413v1}},
6474  year          = {2010},
6475  petsc_uses    = {KSP}
6476}
6477
6478@Article{         cruzknepleybarba10,
6479  author        = {Felipe A. Cruz and Matthew G Knepley and L A Barba},
6480  title         = {{PetFMM} -- A dynamically load-balancing parallel fast multipole library},
6481  journal       = {International Journal of Numerical Methods in Engineering},
6482  volume        = {85},
6483  number        = {4},
6484  pages         = {403--428},
6485  url           = {http://arxiv.org/abs/0905.2637},
6486  note          = {\url{http://arxiv.org/abs/0905.2637}},
6487  year          = {2010},
6488  petsc_uses    = {KSP}
6489}
6490
6491% LiteralHTML:
6492% LiteralHTML:  <a name="otherapps"><H3><center>Other Application Areas</center></H3>
6493% LiteralHTML:
6494@Article{         buchanpainumplebysmedleystevenson2012,
6495  title         = {A sub-grid scale finite element agglomeration multigrid method with application
6496                  to the Boltzmann transport equation},
6497  author        = {AG Buchan and CC Pain and AP Umpleby and RP Smedley-Stevenson},
6498  journal       = {International Journal for Numerical Methods in Engineering},
6499  volume        = {92},
6500  number        = {3},
6501  pages         = {318--342},
6502  year          = {2012},
6503  publisher     = {Wiley Online Library},
6504  petsc_uses    = {KSP}
6505}
6506
6507@Article{         magoulesahamedsuzuki2015,
6508  title         = {Green computing on graphics processing units},
6509  author        = {Fr{\'e}d{\'e}ric Magoul{\`e}s and Abal-Kassim Cheik Ahamed and Atsushi Suzuki},
6510  journal       = {Concurrency and Computation: Practice and Experience},
6511  year          = {2015},
6512  publisher     = {Wiley Online Library},
6513  petsc_uses    = {KSP}
6514}
6515
6516@InProceedings{   yanrhodes11,
6517  author        = {Yan, Baoqiang and Rhodes, Philip J.},
6518  title         = {IDEA -- An API for Parallel Computing with Large Spatial Datasets},
6519  booktitle     = {Proceedings of the 2011 International Conference on Parallel Processing},
6520  series        = {ICPP '11},
6521  pages         = {355--364},
6522  year          = {2011},
6523  isbn          = {978-0-7695-4510-3},
6524  numpages      = {10},
6525  doi           = {10.1109/ICPP.2011.70},
6526  acmid         = {2066965},
6527  publisher     = {IEEE Computer Society},
6528  address       = {Washington, DC, USA},
6529  keywords      = {cluster, parallelization, spatial dataset, dependency, data partitioning},
6530  petsc_uses    = {KSP}
6531}
6532
6533@Article{         hakansson2013mdstochasticliouville,
6534  author        = {Hakansson, Par and Nguyen, ThaoNguyen and Nair, Prasanth B. and Edge, Ruth and
6535                  Stulz, Eugen},
6536  title         = {Cu(ii)-porphyrin molecular dynamics as seen in a novel EPR/Stochastic Liouville
6537                  equation study},
6538  journal       = {Phys. Chem. Chem. Phys.},
6539  year          = {2013},
6540  volume        = {15},
6541  issue         = {26},
6542  pages         = {10930-10941},
6543  publisher     = {The Royal Society of Chemistry},
6544  doi           = {10.1039/C3CP50788B},
6545  petsc_uses    = {KSP}
6546}
6547
6548@Article{         hakansson2011stochasticliouville,
6549  author        = {Hakansson, Par and Nair, Prasanth B.},
6550  title         = {Implicit numerical schemes for the stochastic Liouville equation in Langevin
6551                  form},
6552  journal       = {Phys. Chem. Chem. Phys.},
6553  year          = {2011},
6554  volume        = {13},
6555  issue         = {20},
6556  pages         = {9578-9589},
6557  publisher     = {The Royal Society of Chemistry},
6558  doi           = {10.1039/C1CP20400A},
6559  petsc_uses    = {KSP}
6560}
6561
6562@InProceedings{   wang:lee:scidac2011,
6563  author        = {Lei Wang and Jungho Lee and Mihai Anitescu and Anter El Azab and Lois Curfman
6564                  McInnes and Todd Munson and Barry Smith},
6565  title         = {A Differential Variational Inequality Approach for the Simulation of
6566                  Heterogeneous Materials},
6567  booktitle     = {Proceedings of SciDAC 2011 Conference},
6568  year          = {2011},
6569  petsc_uses    = {KSP}
6570}
6571
6572@Article{         bourdinlarsenrichardson2011,
6573  author        = {Blaise Bourdin and Christopher Larsen and Casey Richardson},
6574  title         = {A time-discrete model for dynamic fracture based on crack regularization},
6575  journal       = {International Journal of Fracture},
6576  volume        = {168},
6577  issue         = {2},
6578  pages         = {133--143},
6579  doi           = {10.1007/s10704-010-9562-x},
6580  year          = {2011},
6581  petsc_uses    = {KSP}
6582}
6583
6584@Article{         bourdinfrancfortmarigo2008,
6585  author        = {Blaise Bourdin and Gilles Francfort and Jean-Jacques Marigo},
6586  title         = {The Variational Approach to Fracture},
6587  journal       = {J. Elasticity},
6588  volume        = {91},
6589  issue         = {1},
6590  pages         = {1--148},
6591  doi           = {10.1007/s10659-007-9107-3},
6592  year          = {2008},
6593  petsc_uses    = {KSP}
6594}
6595
6596@Article{         lahtinen2008spectrum,
6597  title         = {Spectrum of the non-abelian phase in Kitaev's honeycomb lattice model},
6598  author        = {Lahtinen, V. and Kells, G. and Carollo, A. and Stitt, T. and Vala, J. and Pachos,
6599                  J.K.},
6600  journal       = {Annals of Physics},
6601  volume        = {323},
6602  number        = {9},
6603  pages         = {2286--2310},
6604  year          = {2008},
6605  publisher     = {Elsevier},
6606  petsc_uses    = {KSP}
6607}
6608
6609@InProceedings{   roark2004discriminative,
6610  title         = {Discriminative language modeling with conditional random fields and the
6611                  perceptron algorithm},
6612  author        = {Roark, B. and Saraclar, M. and Collins, M. and Johnson, M.},
6613  booktitle     = {Proceedings of the 42nd Annual Meeting on Association for Computational
6614                  Linguistics},
6615  pages         = {47},
6616  year          = {2004},
6617  organization  = {Association for Computational Linguistics},
6618  petsc_uses    = {KSP}
6619}
6620
6621@Article{         roark2007discriminative,
6622  title         = {Discriminative n-gram language modeling},
6623  author        = {Roark, B. and Saraclar, M. and Collins, M.},
6624  journal       = {Computer Speech \& Language},
6625  volume        = {21},
6626  number        = {2},
6627  pages         = {373--392},
6628  year          = {2007},
6629  publisher     = {Elsevier},
6630  petsc_uses    = {KSP}
6631}
6632
6633@Conference{      garcia2011parallel,
6634  title         = {{Parallel performance of the PETSc Krylov methods applied to linear systems of 3D
6635                  nanodevice simulators}},
6636  author        = {Garcia-Rivera, A. and Valin, R. and Seoane, N. and Garcia-Loureiro, A. and
6637                  Aldegunde, M.},
6638  booktitle     = {Electron Devices (CDE), 2011 Spanish Conference on},
6639  pages         = {1--4},
6640  organization  = {IEEE},
6641  petsc_uses    = {KSP}
6642}
6643
6644@Conference{      wesley2006parallel,
6645  title         = {{A parallel artificial neural network implementation}},
6646  author        = {Wesley-Smith, I.},
6647  booktitle     = {Proceedings of The National Conference On Undergraduate Research (NCUR)},
6648  year          = {2006},
6649  petsc_uses    = {KSP}
6650}
6651
6652@Article{         hcsw1,
6653  author        = {F.-N. Hwang and S.-R. Cai and Y.-L. Shao and J.-S. Wu},
6654  title         = {Parallel {N}ewton--{K}rylov--{S}chwarz algorithms for the three-dimensional
6655                  {P}oisson--{B}oltzmann equation in numerical simulation of colloidal particle
6656                  interactions},
6657  journal       = {Computer Physics Communications},
6658  volumne       = {181},
6659  year          = {2010},
6660  pages         = {1529--1537},
6661  petsc_uses    = {KSP}
6662}
6663
6664@Article{         hh1,
6665  author        = {C.-Y. Huang and F.-N. Hwang},
6666  title         = {Parallel pseudo-transient Newton-Krylov-Schwarz continuation algorithms for
6667                  bifurcation analysis of incompressible sudden expansion flows},
6668  journal       = {Applied Numerical Mathematics},
6669  volume        = {60},
6670  year          = {2010},
6671  pages         = {738--751},
6672  petsc_uses    = {KSP}
6673}
6674
6675@Article{         hwhw1,
6676  author        = {F.-N. Hwang and Z.-H. Wei and T.-M. Huang and W. Wang},
6677  title         = {A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for
6678                  polynomial eigenvalue problems in quantum dot simulation},
6679  journal       = {Journal of Computational Physics},
6680  volume        = {229},
6681  year          = {2010},
6682  pages         = {2932--2947},
6683  petsc_uses    = {KSP}
6684}
6685
6686@Article{         wei2011parallel,
6687  title         = {{A Parallel Scalable PETSc-Based Jacobi-Davidson Polynomial Eigensolver with
6688                  Application in Quantum Dot Simulation}},
6689  author        = {Wei, Z.H. and Hwang, F.N. and Huang, T.M. and Wang, W.},
6690  journal       = {Domain Decomposition Methods in Science and Engineering XIX},
6691  pages         = {157--164},
6692  year          = {2011},
6693  publisher     = {Springer},
6694  petsc_uses    = {KSP}
6695}
6696
6697@Article{         flores2007sequential,
6698  title         = {{Sequential and parallel resolution of the two-group transient neutron diffusion
6699                  equation using second-degree iterative methods}},
6700  author        = {Flores-S{\'a}nchez, O. and Vidal, V. and Garc{\'\i}a, V. and Flores-S{\'a}nchez, P.},
6701  journal       = {High Performance Computing for Computational Science-VECPAR 2006},
6702  pages         = {426--438},
6703  year          = {2007},
6704  publisher     = {Springer},
6705  petsc_uses    = {KSP}
6706}
6707
6708@InProceedings{   gordonbell09,
6709  author        = {Dinesh Kaushik and Michael Smith and Allan Wollaber and Barry Smith and Andrew
6710                  Siegel and Won Sik Yang},
6711  title         = {Enabling High Fidelity Neutron Transport Simulations on Petascale Architectures},
6712  booktitle     = {ACM/IEEE Proceedings of SC2009: High Performance Networking and Computing},
6713  note          = {{SC'09 Gordon Bell} Prize Finalist},
6714  year          = {2009},
6715  petsc_uses    = {KSP}
6716}
6717
6718@Article{         knepleykarpeevdavidovitseisenberggillespie10,
6719  author        = {Matthew G. Knepley and Dmitry A. Karpeev and Seth Davidovits and Robert~S.
6720                  Eisenberg and Dirk Gillespie},
6721  title         = {An Efficient Algorithm for Classical Density Functional Theory in Three
6722                  Dimensions: Ionic Solutions},
6723  journal       = {Journal of Physical Chemistry},
6724  volume        = {132},
6725  number        = {12},
6726  pages         = {124101--124111},
6727  url           = {http://arxiv.org/abs/0910.1531},
6728  year          = {2010},
6729  petsc_uses    = {KSP}
6730}
6731
6732@Article{         knepleykarpeeveisenberggillespie09,
6733  author        = {{Knepley}, M.~G. and {Karpeev}, D.~A. and {Eisenberg}, R.~S. and {Gillespie},
6734                  D.},
6735  title         = {{Energetics of Calcium Selectivity: A Three-Dimensional Classical Density
6736                  Functional Theory Approach}},
6737  journal       = {Biophysical Journal},
6738  month         = feb,
6739  volume        = {96},
6740  pages         = {661},
6741  doi           = {10.1016/j.bpj.2008.12.3494},
6742  year          = {2009},
6743  petsc_uses    = {KSP}
6744}
6745
6746@Article{         scx2008,
6747  author        = {SUWITO AND XIAO-CHUAN CAI AND YUNPING XI},
6748  title         = {PARALLEL FINITE ELEMENT METHOD FOR COUPLED CHLORIDE MOISTURE DIFFUSION IN
6749                  CONCRETE},
6750  journal       = {INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING},
6751  volume        = {3},
6752  number        = {4},
6753  year          = {2006},
6754  url           = {http://www.math.ualberta.ca/ijnam/Volume-3-2006/No-4-06/2006-04-06.pdf},
6755  petsc_uses    = {KSP}
6756}
6757
6758@TechReport{      kdgs2008,
6759  year          = {2008},
6760  school        = {Centro Internacional de Methodos Numericos en Ingenieria, Argentina},
6761  title         = {High Performance Simulations of Electrokinetic Flow and Transport in Microfluidic
6762                  Chips},
6763  author        = {Pablo A. Klera and Lisandro D. Dalcin and Fabio A. Guarnieria and Mario A.
6764                  Stortia},
6765  url           = {http://www.cimec.org.ar/ojs/index.php/cmm/article/view/1383},
6766  petsc_uses    = {KSP}
6767}
6768
6769@Article{         springerlink:10.1007/s10915-011-9551-x,
6770  author        = {Schauer, Marco and Roman, Jose and Quintana-Ortí, Enrique and Langer, Sabine},
6771  affiliation   = {Institut für Angewandte Mechanik, Technische Universität Carolo-Wilhelmina zu
6772                  Braunschweig, Spielmannstraße 11, 38106 Braunschweig, Germany},
6773  title         = {Parallel Computation of 3-D Soil-Structure Interaction in Time Domain with a
6774                  Coupled FEM/SBFEM Approach},
6775  journal       = {Journal of Scientific Computing},
6776  publisher     = {Springer Netherlands},
6777  issn          = {0885-7474},
6778  keyword       = {Mathematics and Statistics},
6779  pages         = {1-22},
6780  doi           = {10.1007/s10915-011-9551-x},
6781  petsc_uses    = {KSP}
6782}
6783
6784@TechReport{      jj2007,
6785  author        = {Boris Jeremic and Guanzhou Jie},
6786  title         = {Parallel Finite Element Computations for Soil-Foundation-Structure Interaction
6787                  Problems Report},
6788  institution   = {UCD CompGeoMech 02--2007},
6789  year          = {2007},
6790  url           = {http://sokocalo.engr.ucdavis.edu/~jeremic/wwwpublications/CV-R23.pdf},
6791  petsc_uses    = {KSP}
6792}
6793
6794@Unpublished{     kuiper08,
6795  title         = {Fast 3D frequency-dependent Radiative Transfer for Magneto-Hydrodynamics},
6796  author        = {Rolf Kuiper},
6797  institution   = {Max-Planck-Institute for Astronomy},
6798  url           = {http://www.mpia.de/~kuiper/MAKEMAKE.html},
6799  year          = {2008},
6800  petsc_uses    = {KSP}
6801}
6802
6803@Article{         williamson2012multidimensional,
6804  title         = {Multidimensional multiphysics simulation of nuclear fuel behavior},
6805  author        = {Williamson, R.L. and Hales, J.D. and Novascone, S.R. and Tonks, M.R. and Gaston,
6806                  D.R. and Permann, C.J. and Andrs, D. and Martineau, R.C.},
6807  journal       = {Journal of Nuclear Materials},
6808  volume        = {423},
6809  number        = {1},
6810  pages         = {149--163},
6811  year          = {2012},
6812  publisher     = {Elsevier},
6813  petsc_uses    = {KSP}
6814}
6815
6816@InProceedings{   kucukboyaci2015cobra,
6817  title         = {COBRA-TF parallelization and application to PWR reactor core subchannel DNB
6818                  analysis},
6819  author        = {Kucukboyaci, Vefa and Sung, Yixing and Salko, Robert},
6820  booktitle     = {Joint International Conference on Mathematics and Computation, Supercomputing in
6821                  Nuclear Applications and the Monte Carlo Method},
6822  pages         = {1--18},
6823  year          = {2015},
6824  petsc_uses    = {KSP}
6825}
6826
6827@Article{         hales2012solving,
6828  title         = {Solving Nonlinear Solid Mechanics Problems with the {J}acobian-{F}ree {N}ewton
6829                  {K}rylov Method},
6830  author        = {Hales, J.D. and Novascone, S.R. and Williamson, R.L. and Gaston, D.R. and Tonks,
6831                  M.R.},
6832  journal       = {Computer Modeling in Engineering \& Sciences(CMES)},
6833  volume        = {84},
6834  number        = {2},
6835  pages         = {123--153},
6836  year          = {2012},
6837  publisher     = {Tech Science Press},
6838  petsc_uses    = {KSP}
6839}
6840
6841@InProceedings{   srksyp2008,
6842  author        = {M. A. Smith and C. Rabiti and D. Kaushik and B. Smith and W. S. Yang and G.
6843                  Palmiotti},
6844  title         = {Fast reactor core simulations using the {UNIC} code},
6845  booktitle     = {Proceedings of the International Conference on the Physics of Reactors, Nuclear
6846                  Power: A Sustainable Resource},
6847  year          = {2008},
6848  petsc_uses    = {KSP}
6849}
6850
6851@InProceedings{   psrlkssl2007,
6852  author        = {G. Palmiotti and M. A. Smith and C. Rabiti and M. Leclere and D. Kaushik and A.
6853                  Siegel and B. Smith and E. E. Lewis},
6854  title         = {{UNIC}: Ultimate Neutronic Investigation Code},
6855  booktitle     = {Joint International Topical Meeting on Mathematics and Computation and
6856                  Supercomputing in Nuclear Applications},
6857  year          = {2007},
6858  petsc_uses    = {KSP}
6859}
6860
6861@InProceedings{   sprkssl2007,
6862  author        = {M. A. Smith and G. Palmiotti and C. Rabiti and D. Kaushik and A. Siegel and B.
6863                  Smith and E. E. Lewis},
6864  title         = {{PNFE} Component of the {UNIC} Code},
6865  booktitle     = {Joint International Topical Meeting on Mathematics and Computation and
6866                  Supercomputing in Nuclear Applications},
6867  year          = {2007},
6868  petsc_uses    = {KSP}
6869}
6870
6871@InProceedings{   dc-oop-03,
6872  author        = {H. Digonnet and T. Coupez},
6873  title         = {Object-oriented programming for fast-and-easy development of parallel
6874                  applications in forming processes simulation},
6875  booktitle     = {Proceedings of the Second MIT Conference on Computational Fluid and Solid
6876                  Mechanics},
6877  year          = {2003},
6878  petsc_uses    = {KSP}
6879}
6880
6881@InProceedings{   dc-cfm-03,
6882  author        = {H. Digonnet and T. Coupez},
6883  title         = {Calcul parallele en mise en forme des materiaux},
6884  booktitle     = {XVIeme Congres Francais de Mecanique},
6885  year          = {2003},
6886  petsc_uses    = {KSP}
6887}
6888
6889@InProceedings{   dsc-pcsev-04,
6890  author        = {H. Digonnet and L. Silva and T. Coupez},
6891  title         = {Parallel computation for solving efficiently viscoelastic fluid flow problems},
6892  booktitle     = {Proceedings of ECCOMAS 2004},
6893  year          = {2004},
6894  petsc_uses    = {KSP}
6895}
6896
6897@InProceedings{   dsc-pca3fs-04,
6898  author        = {H. Digonnet and L. Silva and T. Coupez},
6899  title         = {Parallel computation applied to 3D FE simulation of polymer injection molding},
6900  booktitle     = {Proceedings of WCCM VI},
6901  year          = {2004},
6902  petsc_uses    = {KSP}
6903}
6904
6905@InProceedings{   dbcs-cpaac-05,
6906  author        = {H. Digonnet and O. Basset and T. Coupez and L. Silva},
6907  title         = {Calcul parallele appliqu aux coulements de fluides complexe},
6908  booktitle     = {Proceedings of Eme Congres Francais de Mecanique},
6909  year          = {2005},
6910  petsc_uses    = {KSP}
6911}
6912
6913@Article{         sz2010,
6914  author        = {B. Smith and H. Zhang},
6915  title         = {Sparse Triangular Solves for {ILU} Revisited: Data Layout Crucial to Better
6916                  Performance},
6917  journal       = {International Journal of High Performance Computing Applications},
6918  volume        = {25},
6919  number        = {4},
6920  pages         = {386--391},
6921  year          = {2011},
6922  petsc_uses    = {KSP}
6923}
6924
6925@Article{         zssz2006,
6926  author        = {H. Zhang and B. Smith and M. Sternberg and P. Zapol},
6927  title         = {{SIPs}: Shift-and-Invert Parallel Spectral Transformations},
6928  journal       = {TOMS},
6929  url           = {http://math.nist.gov/toms/Current.html#v33n2},
6930  volumne       = {33},
6931  number        = {2},
6932  year          = {2007},
6933  petsc_uses    = {KSP}
6934}
6935
6936@Article{         gs2006,
6937  author        = {Fang Jin and Nivedita R. Gupta and Kathleen J. Stebe},
6938  title         = {The detachment of a viscous drop in a viscous solution in the presence of a
6939                  soluble surfactant},
6940  journal       = {Phys. Fluids},
6941  volume        = {18},
6942  year          = {2006},
6943  url           = {http://scitation.aip.org/dbt/dbt.jsp?KEY=PHFLE6&Volume=LASTVOL&Issue=LASTISS},
6944  petsc_uses    = {KSP}
6945}
6946
6947@Article{         jmemsci,
6948  author        = {Bo Zhou and Adam Powell},
6949  title         = {Phase Field Simulations of Liquid-Liquid Demixing During Immersion Precipitation
6950                  of Polymeric Membranes in 2D and 3D},
6951  journal       = {J. Membrane Sci.},
6952  volume        = {268},
6953  number        = {2},
6954  pages         = {150--164},
6955  year          = {2006},
6956  month         = jan,
6957  day           = {15},
6958  doi           = {10.1016/j.memsci.2005.05.030},
6959  petsc_uses    = {KSP}
6960}
6961
6962@InProceedings{   vbde2002,
6963  author        = {Anke Veser and Wolfgang Breitung and Sergey Dorofeev and Alexander Efimenko},
6964  title         = {Flame Acceleration Distance in Obstacle-Laden Tubes},
6965  booktitle     = {Proceedings of the NINTH INTERNATIONAL CONFERENCE ON NUMERICAL COMBUSTION},
6966  url           = {http://web.ing.unisannio.it/icnc2002/CP21Turbulent_Combustion-Deflagrations_Jets_&_Fires.pdf},
6967  year          = {2002},
6968  petsc_uses    = {KSP}
6969}
6970
6971@InProceedings{   wid2005,
6972  author        = {Alexander I. Bobenko and Peter Schrader},
6973  title         = {Discrete Willmore Flow},
6974  booktitle     = {Eurographics Symposium on Geometry Processing},
6975  url           = {http://www.math.tu-berlin.de/\~{ }bobenko/Papers/Willmore.pdf},
6976  year          = {2005},
6977  editor        = {M. Desbrun and H. Pottmann},
6978  petsc_uses    = {KSP}
6979}
6980
6981@Article{         stj2003,
6982  author        = {A. Scascighini and A. Troxler and R. Jeltsch},
6983  journal       = {International Journal for Numerical Methods in Fluids},
6984  volume        = {41},
6985  issue         = {4},
6986  title         = {A numerical method for inverse design based on the inverse Euler equations},
6987  year          = {2003},
6988  pages         = {339--355},
6989  url           = {http://www3.interscience.wiley.com/cgi-bin/abstract/102521480/ABSTRACT},
6990  petsc_uses    = {KSP}
6991}
6992
6993@PhDThesis{       as2001,
6994  author        = {ANDREA SCASCIGHINI},
6995  title         = {A Numerical Method for the Design of Internal Flow Configurations Based on the
6996                  Inverse Euler Equations},
6997  school        = {SWISS FEDERAL INSTITUTE OF TECHNOLOGY, ZURICH},
6998  year          = {2001},
6999  url           = {http://www.sam.math.ethz.ch/\~{ }andrea/},
7000  petsc_uses    = {KSP}
7001}
7002
7003@Article{         hb2005,
7004  author        = {E. McKay Hyde and Oscar P. Bruno},
7005  journal       = {Journal of Computational Physics},
7006  volume        = {202},
7007  title         = {A fast, higher-order solver for scattering by penetrable bodies in three
7008                  dimensions},
7009  year          = {2005},
7010  pages         = {236--261},
7011  url           = {http://www.acm.caltech.edu/\~{ }bruno/hyde_bruno_3d_jcp.pdf},
7012  petsc_uses    = {KSP}
7013}
7014
7015@MastersThesis{   d2002,
7016  author        = {Matthew F Dixon},
7017  title         = {PARALLEL SOLUTION OF HIGH ORDER FINITE DIFFERENCE SCHEMES FOR PRICING
7018                  MULTI-DIMENSIONAL AMERICAN OPTIONS},
7019  school        = {READING UNIVERSITY},
7020  year          = {2002},
7021  url           = {http://www.ma.ic.ac.uk/\~{ }mdixion/papers/MScThesis.pdf.gz},
7022  petsc_uses    = {KSP}
7023}
7024
7025@TechReport{      gzb,
7026  author        = {David Gleich and Leonid Zhukov and Pavel Berkhin},
7027  title         = {Fast Parallel PageRank: A Linear System Approach},
7028  institution   = {Stanford University},
7029  year          = {2004},
7030  url           = {http://www.gg.caltech.edu/\~{ }zhukov/papers/ParallelPageRank-paper.pdf},
7031  petsc_uses    = {KSP}
7032}
7033
7034@PhDThesis{       yergeau-99,
7035  author        = {Daniel W. Yergeau},
7036  title         = {A DIAL-AN-OPERATOR APPROACH TO SIMULATION OF IMPURITY DIFFUSION IN
7037                  SEMICONDUCTORS},
7038  school        = {Stanford},
7039  year          = {1999},
7040  url           = {http://www-tcad.stanford.edu/tcad/pubs/theses/yergeau.pdf},
7041  petsc_uses    = {KSP}
7042}
7043
7044@InProceedings{   rathkopf-miller-00,
7045  author        = {J.A. Rathkopf and D.S. Miller and J.M. Owen and L.M. Stuart and M.R. Zika and
7046                  P.G. Eltgroth and N.K. Madsen and K.P. McCandless and P.F. Nowak and M.K. Nemanic
7047                  and N.A. Gentile and N.D. Keen and T.S. Palmer},
7048  title         = {{KULL}: {LLNL}'s {ASCI} Inertial Confinement Fusion Simulation Code},
7049  year          = {2000},
7050  booktitle     = {Physor 2000 American Nuclear Society Topical Meeting on Advances in Reactor
7051                  Physics and Mathematics and Computation into the Next Millennium},
7052  url           = {http://www.llnl.gov/tid/lof/documents/pdf/237860.pdf},
7053  lab           = {LLNL},
7054  petsc_uses    = {KSP}
7055}
7056
7057@Article{         bonfi-palma-pas-05,
7058  author        = {A. Bonfiglioli and P. De Palma and G. Pascazio and M. Napolitano},
7059  journal       = {Journal of Turbomachinery},
7060  volume        = {127},
7061  title         = {An Implicit Fluctuation Splitting Scheme for Turbomachinery Flows},
7062  year          = {2005},
7063  pages         = {395-401},
7064  petsc_uses    = {KSP}
7065}
7066
7067@InProceedings{   fettig-sobh-05,
7068  author        = {John Fettig and Nahil Sobh and Dmitriy V. Melnikov and Jean-Pierre Leburton},
7069  title         = {High Performance Algorithms for Scalable Spin-Qubit Circuits with Quantum Dots},
7070  year          = {2005},
7071  booktitle     = {Proceedings of the 5th International Conference on Linux Clusters},
7072  url           = {http://www.linuxclustersinstitute.org/Linux-HPC-Revolution/Archive/PDF05/28-Fettig_J.pdf},
7073  petsc_uses    = {KSP}
7074}
7075
7076@TechReport{      melnikov-matagne-05,
7077  author        = {Dmitriy V. Melnikov and Philippe Matagne and Jean-Pierre Leburton and D.G.
7078                  Austing and G. Yu and S. Tarucha and John Fettig and Nahil Sobh},
7079  title         = {Spin configurations in circular and rectangular vertical quantum dots in a
7080                  magnetic field: Three-dimensional self-consistent simulation},
7081  year          = {2005},
7082  number        = {Arxiv preprint cond-mat/0506585},
7083  url           = {http://arxiv.org/pdf/cond-mat/0506585},
7084  petsc_uses    = {KSP}
7085}
7086
7087@InProceedings{   richard-smedley-03,
7088  author        = {Richard P. Smedley-Stevenson},
7089  title         = {PARALLEL THERMAL RADIATION TRANSPORT IN TWO DIMENSIONS},
7090  year          = {2003},
7091  booktitle     = {18th International Conference on Transport Theory (18 ICTT)},
7092  url           = {http://www.iprj.uerj.br/\~{ }ricardob/Evento_Cientifico_html/poster03j.pdf},
7093  petsc_uses    = {KSP}
7094}
7095
7096@Article{         guan-godoy-ravaioli-03,
7097  author        = {D. Guan and A. Godoy and U. Ravaioli and F. Gamiz},
7098  journal       = {Journal of Computational Electronics},
7099  volume        = {2},
7100  title         = {Comparison Between Non-Equilibrium Green's Function and Monte Carlo Simulations
7101                  for Transport in a Silicon Quantum Wire Structure},
7102  year          = {2003},
7103  pages         = {335--339},
7104  petsc_uses    = {KSP}
7105}
7106
7107@Article{         ovtchinnikovcai04,
7108  author        = {S. Ovtchinnikov and X.-C. Cai},
7109  journal       = {Numer. Lin. Alg. Applics},
7110  volume        = {11},
7111  title         = {One-level {N}ewton--{K}rylov--{S}chwarz algorithm for unsteady nonlinear radiation
7112                  diffusion problem},
7113  year          = {2004},
7114  pages         = {867--881},
7115  petsc_uses    = {KSP}
7116}
7117
7118@Article{         mixedstress,
7119  title         = {Floating Solids: Combining Phase Field and Fluid-Structure Interactions},
7120  author        = {Adam Powell and David Dussault},
7121  journal       = {Appl. Numer. Anal. Comp. Math.},
7122  volume        = {2},
7123  number        = {1},
7124  year          = {2005},
7125  pages         = {157--166},
7126  petsc_uses    = {KSP}
7127}
7128
7129@Article{         dhh2005,
7130  author        = {G. Deli\'ege and F. Henrotte and K. Hameyer},
7131  title         = {Accuracy analysis of the thrust force in 2D-3D finite element models},
7132  journal       = {International Journal for Computation and Mathematics in Electrical and
7133                  Electronic Engineering (COMPEL)},
7134  year          = {2005},
7135  petsc_uses    = {KSP}
7136}
7137
7138@Article{         dhh2004,
7139  author        = {G. Deli\'ege and F. Henrotte and W. Deprez and K. Hameyer},
7140  title         = {Finite element modelling of ion convection by electrostatic forces},
7141  journal       = {IEE Proceedings Science, Measurement and Technology},
7142  year          = {2004},
7143  volume        = {151},
7144  number        = {6},
7145  petsc_uses    = {KSP}
7146}
7147
7148@Article{         adams-07b,
7149  author        = {Adams M.F.},
7150  title         = {Algebraic Multigrid Techniques for Strongly Indefinite Linear Systems from Direct
7151                  Frequency Response Analysis in Solid Mechanics},
7152  journal       = {Computional Mechanics},
7153  year          = {2007},
7154  volume        = {39},
7155  number        = {4},
7156  pages         = {497-507},
7157  petsc_uses    = {KSP}
7158}
7159
7160@InProceedings{   wc2004,
7161  author        = {A. Wheelock and D. Cooke},
7162  title         = {Computational Modeling of Ion Beam-Neutralizer Interactions in Two and Three
7163                  Dimensions},
7164  year          = {2004},
7165  booktitle     = {40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit},
7166  url           = {http://www.aiaa.org/content.cfm?pageid=406&gTable=Paper&gID=19282},
7167  petsc_uses    = {KSP}
7168}
7169
7170@InProceedings{   allard-gouranton-ipts2002,
7171  author        = {Jeremie Allard and Valerie Gouranton and Emmanuel Melin and Bruno Raffin},
7172  title         = {Parallelizing Pre-rendering Computations on a Net Juggler PC Cluster},
7173  year          = {2002},
7174  booktitle     = {Immersive Projection Technology Symposium},
7175  url           = {http://www-id.imag.fr/\~{ }allardj/files/ipts2002.pdf},
7176  petsc_uses    = {KSP}
7177}
7178
7179@Article{         icc,
7180  author        = {D Ioan and G Ciuprina and C Ciobotaru},
7181  title         = {Hybrid and concurrent algorithms for nonlinear magnetic field problems},
7182  journal       = {IEEE Transactions on Magnetics},
7183  year          = {2000},
7184  url           = {http://ieeexplore.ieee.org/Xplore/login.jsp?url=/iel5/20/19005/00877735.pdf},
7185  petsc_uses    = {KSP}
7186}
7187
7188@InProceedings{   hs1,
7189  author        = {Brian J. Henz and Dale R. Shires},
7190  title         = {Development and Performance Analysis of a Parallel Finite Element Application
7191                  Implemented in an Object-Oriented Programming Framework},
7192  year          = {2003},
7193  booktitle     = {PDPTA 2003},
7194  pages         = {1286-1292},
7195  note          = {Resin Transfer Modeling},
7196  petsc_uses    = {KSP}
7197}
7198
7199@TechReport{      b2000,
7200  author        = {Rickard Bergstrom},
7201  title         = {Least-Squares Finite Element Methods for Electromagnetic Applications},
7202  year          = {2000},
7203  institution   = {Chalmers},
7204  number        = {2000-05},
7205  url           = {http://www.phi.chalmers.se/pub/preprints/ps/phiprint-2000-05.ps},
7206  petsc_uses    = {KSP}
7207}
7208
7209@Article{         fs2004,
7210  author        = {Petri Fast and Michael J. Shelley},
7211  title         = {A Moving Overset Grid Method for Interface Dynamics Applied to Non-Newtonian Hele
7212                  Shaw Flow},
7213  journal       = {Journal of Computational Physics},
7214  year          = {2004},
7215  volume        = {195},
7216  url           = {http://www.math.nyu.edu/faculty/shelley/papers/FS2004.pdf},
7217  pages         = {117-142},
7218  petsc_uses    = {KSP}
7219}
7220
7221@MastersThesis{   wallach,
7222  author        = {Hanna Wallach},
7223  title         = {Efficient Training of Conditional Random Fields},
7224  school        = {University of Edinburgh},
7225  year          = {2002},
7226  url           = {http://scholar.google.com/url?sa=U&q=http://www.hcrc.ed.ac.uk/\~{
7227                  }osborne/msc-projects/wallach.ps.gz},
7228  petsc_uses    = {KSP}
7229}
7230
7231@Article{         something,
7232  author        = {T Rylander and A Bondeson},
7233  title         = {Stability of explicit-implicit hybrid time-stepping schemes for Maxwells
7234                  equations},
7235  journal       = {Journal of Computational Physics},
7236  year          = {2002},
7237  volume        = {179},
7238  pages         = {426-438},
7239  petsc_uses    = {KSP}
7240}
7241
7242@TechReport{      uf1,
7243  author        = {Uwe Fabricius},
7244  title         = {Comparison of two implementations of {AMG}-preconditioned {CG} considering an
7245                  electrostatic problem},
7246  year          = {2004},
7247  institution   = {Friedrich Alexander Universitat Erlangen Nurnberg Germany},
7248  url           = {http://www10.informatik.uni-erlangen.de/de/Publications/TechnicalReports/TechRep04-1.pdf},
7249  number        = {04-1},
7250  petsc_uses    = {KSP}
7251}
7252
7253@InBook{          sg1,
7254  author        = {Natalia Seoane and A.J.Garca-Loureiro},
7255  chapter       = {Analysis of Parallel Numerical Libraries to Solve the 3D Electron Continuity
7256                  Equation},
7257  url           = {http://www.springerlink.com/app/home/contribution.asp?wasp=h0xlulyhugck3y2gnt2l&referrer=parent&backto=issue,79,112;journal,212,1787;linkingpublicationresults,1:105633,1},
7258  title         = {Lecture Notes in Computer Science},
7259  publisher     = {Springer-Verlag},
7260  volume        = {3037},
7261  year          = {2004},
7262  petsc_uses    = {KSP}
7263}
7264
7265@Article{         nikyilmazgivisheikhipope10,
7266  author        = {M. B. Nik and S. L. Yilmaz and P. Givi and M. R. H. Sheikhi and S. B. Pope},
7267  title         = {Simulation of Sandia Flame D Using Velocity-Scalar Filtered Density Function},
7268  journal       = {AIAA Journal},
7269  volume        = {48},
7270  number        = {7},
7271  pages         = {1513--1522},
7272  year          = {2010},
7273  petsc_uses    = {KSP}
7274}
7275
7276@Article{         nikyilmazsheikhigivi10,
7277  author        = {Mehdi B. Nik and Server L. Yilmaz and Mohammad Reza H. Sheikhi and Peyman Givi},
7278  title         = {Grid Resolution Effects on VSFMDF/LES},
7279  journal       = {Flow, Turbulence and Combustion},
7280  doi           = {10.1007/s10494-010-9272-5},
7281  year          = {2010},
7282  petsc_uses    = {KSP}
7283}
7284
7285@Article{         idema2013towards,
7286  title         = {Towards faster solution of large power flow problems},
7287  author        = {Idema, Reijer and Papaefthymiou, Georgios and Lahaye, Domenico and Vuik, Cornelis
7288                  and van der Sluis, Lou},
7289  journal       = {Power Systems, IEEE Transactions on},
7290  volume        = {28},
7291  number        = {4},
7292  pages         = {4918--4925},
7293  year          = {2013},
7294  publisher     = {IEEE},
7295  petsc_uses    = {KSP}
7296}
7297
7298@Article{         6026245,
7299  author        = {Idema, R. and Lahaye, D.J.P. and Vuik, C. and Van der Sluis, L.},
7300  journal       = {Power Systems, IEEE Transactions on},
7301  title         = {Scalable Newton-Krylov Solver for Very Large Power Flow Problems},
7302  year          = {2012},
7303  month         = feb,
7304  volume        = {27},
7305  number        = {1},
7306  pages         = {390-396},
7307  doi           = {10.1109/TPWRS.2011.2165860},
7308  issn          = {0885-8950},
7309  petsc_uses    = {KSP}
7310}
7311
7312@Book{            idema2014computational,
7313  title         = {Computational Methods in Power System Analysis},
7314  author        = {Idema, Reijer and Lahaye, Domenico JP},
7315  year          = {2014},
7316  publisher     = {Springer},
7317  petsc_uses    = {KSP}
7318}
7319
7320@PhDThesis{       abhyankar2011thesis,
7321  author        = {Shrirang Abhyankar},
7322  title         = {Development of an implicitly coupled electromechanical and electromagnetic
7323                  transients simulator for power systems},
7324  school        = {Illinois Institute of Technology},
7325  year          = {2011},
7326  petsc_uses    = {KSP}
7327}
7328
7329@InProceedings{   abhyankarhipcna11-1,
7330  author        = {Shrirang Abhyankar and Barry Smith and Hong Zhang and A. Flueck},
7331  title         = {Using {PETSc} to develop scalable applications for next-generation power grid},
7332  year          = {2011},
7333  booktitle     = {Proceedings of the 1st International Workshop on High Performance Computing,
7334                  Networking and Analytics for the Power Grid},
7335  url           = {http://www.mcs.anl.gov/uploads/cels/papers/P1957-0911.pdf},
7336  publisher     = {ACM},
7337  petsc_uses    = {KSP}
7338}
7339
7340@InProceedings{   abhyankarhipcna11-2,
7341  author        = {Shrirang Abhyankar and Alexander Flueck and Xu Zhang and Hong Zhang},
7342  title         = {Development of a parallel three-phase transient stability simulator for power
7343                  systems},
7344  year          = {2011},
7345  booktitle     = {Proceedings of the 1st International Workshop on High Performance Computing,
7346                  Networking and Analytics for the Power Grid},
7347  publisher     = {ACM},
7348  petsc_uses    = {KSP}
7349}
7350
7351@InProceedings{   abhyankarpesgeneral2012,
7352  author        = {Shrirang Abhyankar and A. Flueck},
7353  title         = {An implicitly-coupled solution approach for combined electromechanical and
7354                  electromagnetic transients simulation},
7355  year          = {2012},
7356  booktitle     = {Proceedings of the IEEE PES General Meeting},
7357  publisher     = {IEEE},
7358  petsc_uses    = {KSP}
7359}
7360
7361@Article{         idemalahayevuiksluis2012,
7362  author        = {Reijer Idema and Domenico Lahaye and Cornelis Vuik and Lou van der Sluis},
7363  title         = {Scalable Newton-Krylov solver for very large Power Flow problems},
7364  journal       = {IEEE Transactions on Power Systems},
7365  year          = {2012},
7366  volume        = {27},
7367  pages         = {390-396},
7368  petsc_uses    = {KSP}
7369}
7370
7371@Article{         korrestzavellasgalinas2013,
7372  author        = {George N. Korres and Anastasios Tzavellas and Evangelos Galinas},
7373  title         = {A distributed implementation of multi-area power system state estimation on a
7374                  cluster of computers },
7375  journal       = {Electric Power Systems Research },
7376  volume        = {102},
7377  number        = {0},
7378  pages         = {20 - 32},
7379  year          = {2013},
7380  issn          = {0378-7796},
7381  doi           = {10.1016/j.epsr.2013.04.002},
7382  petsc_uses    = {KSP}
7383}
7384
7385% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
7386% LiteralHTML:<font color="#FF0000">
7387% LiteralHTML: Material failure, for example, cracking of steel beams resulting
7388% LiteralHTML: in bridge collapse and corrosion, is a little understood phenomena. Thus simulations
7389% LiteralHTML: are important for prediction and prevention. PETSc has been used
7390% LiteralHTML: in  a variety of studies of material failure.</p>
7391% LiteralHTML:</font>
7392% LiteralHTML:
7393@InProceedings{   gray2,
7394  author        = {Yuan He and Joshua Gray and Richard Braatz and Richard Alkire},
7395  title         = {Modulized Coupled Simulation of Localized Pit Initiation in Stainless Steel},
7396  year          = {2004},
7397  booktitle     = {American Institute of Chemical Engineers 2004 Annual Meeting},
7398  petsc_uses    = {KSP}
7399}
7400
7401@InProceedings{   gray1,
7402  author        = {J. Gray and C. Homescu and L. Petzold and Richard Alkire},
7403  title         = {Algorithms and Computing Architectures for Solving Differential-Algebraic
7404                  Equation Systems Typically Encountered in Models of Corrosion Pit Initiation},
7405  year          = {2003},
7406  booktitle     = {Abstracts of the Electrochemical Society 204th meeting},
7407  petsc_uses    = {KSP}
7408}
7409
7410@InProceedings{   crack2,
7411  author        = {Erin Lesulauro and Anthony R. Ingraffea and Gerd Heber and Paul A. Wawrzynek},
7412  title         = {A multiscale modeling approach to crack initiation in metallic polycrystals},
7413  booktitle     = {44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials
7414                  Conference},
7415  url           = {http://md1.csa.com/partners/viewrecord.php?requester=gs&collection=TRD&recid=A0325099AH},
7416  year          = {2003},
7417  petsc_uses    = {KSP}
7418}
7419
7420@TechReport{      hdams1,
7421  author        = {Gerd Heber and Andrew J. Dolgert and Maxirn Alt and Karen A. Mazurkiewicz and
7422                  Lynd Stringer},
7423  title         = {Fracture Mechanics on the Intel Itanium Architecture},
7424  year          = {2001},
7425  institution   = {Intel Corporation},
7426  url           = {http://cedar.intel.com/media/pdf/scs/cptconitanium.pdf},
7427  petsc_uses    = {KSP}
7428}
7429
7430@InProceedings{   ihwi,
7431  author        = {E. Iesulauro and G. Heber and P. A. Wawrzynek and A. R. Ingraffea},
7432  title         = {Modeling of 3D Metallic Polycrystals and Simulation of Crack Initiation},
7433  booktitle     = {International Conference ON Computational Engineering and Sciences},
7434  year          = {2002},
7435  url           = {http://www.cfg.cornell.edu/\~{ }erin/erin/ices02_iesulauro.pdf},
7436  petsc_uses    = {KSP}
7437}
7438
7439@InProceedings{   crack,
7440  author        = {Bruce Carter and Chuin-Shan Chen and L. Paul Chew and Nikos Chrisochoides and
7441                  Guang R. Gao and Gerd Heber and Antony R. Ingraffea and Roland Krause and Chris
7442                  Myers and Demian Nave and Keshav Pingali and Paul Stodghill and Stephen Vavasis
7443                  and Paul A. Wawrzynek},
7444  title         = {Parallel FEM Simulation of Crack Propagation},
7445  booktitle     = {Proceedings of Irregular 2000},
7446  url           = {http://www.cs.cornell.edu/stodghil/papers/irregular00.ps},
7447  year          = {2000},
7448  petsc_uses    = {KSP}
7449}
7450
7451@InProceedings{   beaudoin98,
7452  author        = {A. J. Beaudoin},
7453  title         = {Use of Polycrystal Plasticity Theory in Assessing Material Performance},
7454  booktitle     = {Simulation of materials processing: Theory, methods, and applications -
7455                  Proceedings of the Sixth International Conference, NUMIFORM'98},
7456  editor        = {J. Hu\'etink and F. P. T. Baaijens},
7457  optvolume     = {},
7458  optnumber     = {},
7459  optseries     = {},
7460  year          = {1998},
7461  optorganization={},
7462  publisher     = {A. A. Balkema Publishers},
7463  address       = {Rotterdam, Netherlands},
7464  month         = jun,
7465  optpages      = {},
7466  petsc_uses    = {KSP}
7467}
7468
7469% LiteralHTML: <td width="100%" colspan="2"><hr size="4" color="#FF5B5B"> </td>
7470@TechReport{      defordheld1,
7471  author        = {JF DeFord and BL Held},
7472  title         = {RF3P-A New Parallel Driven Frequency Electromagnetic Solver},
7473  year          = {2002},
7474  institution   = {Simulation Technology and Applied Research},
7475  url           = {http://www.staarinc.com/support/papers/aces2002.pdf},
7476  note          = {Discusses their parallel commercial solver that uses PETSc},
7477  petsc_uses    = {KSP}
7478}
7479
7480@PhDThesis{       sande2003,
7481  author        = {Hans Vande Sande},
7482  title         = {Modelling and Finite Element Simulation of Non-Linear and Anisotropic
7483                  Quasi-Static Electromagnetic Systems},
7484  school        = {Katholieke Universiteit Leuven, Belgium},
7485  year          = {2003},
7486  petsc_uses    = {KSP}
7487}
7488
7489@Article{         sdchh2004,
7490  author        = {H. Vande Sande and W. Deprez and J. De Coster and F. Henrotte and K. Hameyer},
7491  title         = {Reducing the Computation Time of Non-Linear Problems by an Adaptive Linear System
7492                  Tolerance},
7493  journal       = {IEEE Transactions on Magnetics},
7494  year          = {2004},
7495  volume        = {40},
7496  pages         = {1306--1309},
7497  petsc_uses    = {KSP}
7498}
7499
7500@Article{         holst-lindblom-etal:2004,
7501  author        = {Michael Holst and Lee Lindblom and Robert Owen and Harald P. Pfeiffer and Mark A.
7502                  Scheel and Lawrence E. Kidder},
7503  title         = {Optimal constraint projection for hyperbolic evolution systems, },
7504  journal       = {Phys. Rev. D},
7505  year          = {2004},
7506  volume        = {70},
7507  pages         = {084017},
7508  petsc_uses    = {KSP}
7509}
7510
7511@Article{         marm2005,
7512  author        = {Matthew Anderson and Richard A. Matzner},
7513  title         = {Extended Lifetime in Computational Evolution of Isolated Black Holes},
7514  journal       = {Foundations of Physics},
7515  volume        = {35},
7516  pages         = {1572--9516},
7517  year          = {2005},
7518  petsc_uses    = {KSP}
7519}
7520
7521@Article{         cook-pfeiffer:2004,
7522  author        = {Cook, Gregory B. and Pfeiffer, Harald P.},
7523  title         = {Excision boundary conditions for black hole initial data},
7524  journal       = {Phys. Rev. D},
7525  volume        = {70},
7526  pages         = {104016--24},
7527  year          = {2004},
7528  petsc_uses    = {KSP}
7529}
7530
7531@Article{         pfeiffer-kidder-etal:2005,
7532  author        = {Harald P. Pfeiffer and Lawrence E. Kidder and Mark A. Scheel and Deirdre
7533                  Shoemaker},
7534  title         = {Initial data for {E}instein's equations with superposed gravitational waves},
7535  journal       = {Phys. Rev. D},
7536  year          = {2005},
7537  volume        = {71},
7538  pages         = {024020},
7539  petsc_uses    = {KSP}
7540}
7541
7542@Article{         pfeiffer-kidder-etal:2003,
7543  author        = {Pfeiffer, Harald P. and Kidder, Lawrence E. and Scheel, Mark A. and Teukolsky,
7544                  Saul A.},
7545  title         = {A multidomain spectral method for solving elliptic equations},
7546  journal       = {CPC},
7547  year          = {2003},
7548  volume        = {152},
7549  pages         = {253--273},
7550  note          = {Solves nonlinear coupled 3-D elliptic equations that arise in general relativity.
7551                  For a related online version, see arXiv:gr-qc/0202096},
7552  petsc_uses    = {KSP}
7553}
7554
7555@Article{         pfeiffer-cook-teukolsky:2002,
7556  author        = {Pfeiffer, Harald P. and Cook, Gregory B. and Teukolsky, Saul A.},
7557  title         = {Comparing initial-data sets for binary black hole},
7558  journal       = {PRD},
7559  year          = {2002},
7560  volume        = {66},
7561  pages         = {024047},
7562  note          = {for a related online version, seearXiv:gr-qc/0203085},
7563  petsc_uses    = {KSP}
7564}
7565
7566@PhDThesis{       pfeiffer:2003,
7567  author        = {Pfeiffer, Harald P.},
7568  title         = {Initial Data for Black Hole Evolutions},
7569  school        = {Cornell University},
7570  year          = {2003},
7571  petsc_uses    = {KSP}
7572}
7573
7574@TechReport{      h1,
7575  author        = {Erik Schnetter},
7576  title         = {A fast apparent horizon algorithm},
7577  year          = {2002},
7578  number        = {Arxiv preprint gr-qc/0206003},
7579  url           = {http://arxiv.org/pdf/gr-qc/0206003},
7580  petsc_uses    = {KSP}
7581}
7582
7583@Article{         h2,
7584  author        = {Erik Schnetter},
7585  title         = {Finding apparent horizons and other 2-surfaces of constant expansion},
7586  year          = {2003},
7587  journal       = {Class. Quantum Grav.},
7588  pages         = {4719-4737},
7589  volume        = {20},
7590  url           = {http://www.iop.org/EJ/article/0264-9381/20/22/001/cqg3_22_001.pdf},
7591  petsc_uses    = {KSP}
7592}
7593
7594@Article{         adams-03a,
7595  author        = {Adams, M.~F.},
7596  journal       = {Numerical Linear Algebra with Applications},
7597  number        = {2-3},
7598  pages         = {141-153},
7599  title         = {Algebraic multigrid methods for constrained linear systems with applications to
7600                  contact problems in solid mechanics},
7601  volume        = {11},
7602  year          = {2004},
7603  petsc_uses    = {KSP}
7604}
7605
7606@Article{         vandesande1,
7607  author        = {H. Vande Sande and H. De Gersem and F. Henrotte and K. Hameyer},
7608  journal       = {IEEE TRANSACTIONS ON MAGNETICS},
7609  year          = {2003},
7610  volume        = {39},
7611  pages         = {1709--1712},
7612  title         = {Solving Nonlinear Magnetic Problems Using {N}ewton Trust Region Methods},
7613  petsc_uses    = {KSP}
7614}
7615
7616@InProceedings{   vbde1,
7617  author        = {Rajesh Rawat and Jennifer P. Spinti and Wing Yee and Philip J. Smith},
7618  year          = {2002},
7619  title         = {Parallelization and Integration of a Large Scale Hydrocarbon Pool Fire in the
7620                  Uintah PSE},
7621  booktitle     = {In Proceedings of Ninth Internation Conference on Numerical Combustion - ICNC
7622                  2002},
7623  pages         = {49-55},
7624  url           = {http://web.ing.unisannio.it/icnc2002/CP21Turbulent_Combustion-Deflagrations_Jets_&_Fires.pdf},
7625  note          = {Extended abstract},
7626  petsc_uses    = {KSP}
7627}
7628
7629@Unpublished{     ep1,
7630  title         = {An Inherently-Parallel Method for Solving Discretized Diffusion Equations},
7631  author        = {Bradley R. Eccleston and Todd S. Palmer},
7632  institution   = {Department of Nuclear Engineering, Oregon State University},
7633  url           = {http://www.physics.orst.edu/\~{ }bertrand/stuff/Year_Two_Report.pdf},
7634  note          = {Funded under the ASCI Level III: Computational Transport Issues for Large-Scale
7635                  Parallel Simulations},
7636  year          = {1999},
7637  petsc_uses    = {KSP}
7638}
7639
7640@InProceedings{   teo2007scalable,
7641  title         = {A scalable modular convex solver for regularized risk minimization},
7642  author        = {Teo, C.H. and Smola, A. and Vishwanathan, SVN and Le, Q.V.},
7643  booktitle     = {Proceedings of the 13th ACM SIGKDD international conference on Knowledge
7644                  discovery and data mining},
7645  pages         = {727--736},
7646  year          = {2007},
7647  organization  = {ACM},
7648  petsc_uses    = {KSP}
7649}
7650
7651@InProceedings{   rm02,
7652  author        = {Robert Malouf},
7653  year          = {2002},
7654  title         = {A comparison of algorithms for maximum entropy Parameter estimation},
7655  booktitle     = {In Proceedings of the Sixth Conference on Natural Language Learning
7656                  (CoNLL-2002)},
7657  pages         = {49-55},
7658  url           = {http://bulba.sdsu.edu/malouf/papers/conll02.pdf},
7659  petsc_uses    = {KSP}
7660}
7661
7662@Unpublished{     hrv02,
7663  title         = {Computing the Lambda Modes of a Nuclear Reactor with {SLEPc} and {PETSc}},
7664  author        = {V. Hernandex and J. E. Roman and V. Vidal},
7665  note          = {Submitted to CMMSE},
7666  petsc_uses    = {KSP}
7667}
7668
7669@Article{         tmh2001,
7670  author        = {Manfred Gilli and Evis Kellezi and Giorgio Pauletto},
7671  journal       = {Journal of Economic Dynamics and Control},
7672  year          = {2002},
7673  volume        = {26},
7674  pages         = {1499-1515},
7675  title         = {Solving finite difference schemes arising in trivariate option pricing},
7676  petsc_uses    = {KSP}
7677}
7678
7679@InProceedings{   a2,
7680  author        = {C.J.Palansuriya and C-H.Lai and C.S.Ierotheou and K.A.Pericleous and D.E.Keyes},
7681  title         = {Comparison of three algorithms for nonlinear metal cutting problems},
7682  booktitle     = {Proceedings of the 11th International Conference on Domain Decomposition
7683                  Methods},
7684  editor        = {C.-H. Lai et al.},
7685  publisher     = {Domain Decomposition Press, Bergen},
7686  url           = {http://www.ddm.org/DD11/Palansuriya.ps.gz},
7687  year          = {1999},
7688  petsc_uses    = {KSP}
7689}
7690
7691@Unpublished{     mmmdcmaa-web-page,
7692  title         = {{M}ulti-{M}odel {M}ulti-{D}omain {C}omputational {M}ethods in {A}erodynamics and
7693                  {A}coustics {W}eb Page},
7694  url           = {http://www.cs.odu.edu/\~{ }keyes/nsf},
7695  author        = {David E. Keyes},
7696  institution   = {Old Dominion University},
7697  petsc_uses    = {KSP}
7698}
7699
7700@Conference{      liu2010parallelization,
7701  title         = {{Parallelization of Thermal Recovery Simulation Based on PETSc}},
7702  author        = {Liu, L. and Xue, W. and Shu, J. and Ma, L.},
7703  booktitle     = {International Symposium on Parallel and Distributed Processing with
7704                  Applications},
7705  pages         = {528--535},
7706  year          = {2010},
7707  organization  = {IEEE},
7708  petsc_uses    = {KSP}
7709}
7710
7711@Unpublished{     oil-reservoir-sim-web-page,
7712  title         = {{N}ew {G}eneration {F}ramework for {P}etroleum, {R}eservoir {S}imulation},
7713  url           = {http://www.pe.utexas.edu/CPGE/new_generation},
7714  institution   = {University of Texas at Austin and Argonne National Laboratory},
7715  key           = {University of Texas at Austin and Argonne National Laboratory},
7716  petsc_uses    = {KSP}
7717}
7718
7719@Article{         tmh2001b,
7720  author        = {V. Thiagarajan and K. Milfeld and KT. Milfeld},
7721  journal       = {IEEE TRANSACTIONS ON MAGNETICS },
7722  year          = {2001},
7723  volume        = {37},
7724  pages         = {143--146},
7725  title         = {Adapting EMAP3D to parallel processing},
7726  petsc_uses    = {KSP}
7727}
7728
7729@Article{         harbury98,
7730  author        = {HK Harbury and W Porod},
7731  journal       = {VLSI Design},
7732  year          = {1998},
7733  volume        = {6},
7734  pages         = {47--51},
7735  title         = {Parallel computation for electronic waves in quantum corrals},
7736  petsc_uses    = {KSP}
7737}
7738
7739@Article{         bludszuwei98,
7740  author        = {Mark Bludszuweit},
7741  journal       = {Journal of Lightwave Technology},
7742  year          = {1998},
7743  volume        = {16},
7744  number        = {7},
7745  pages         = {1336--42},
7746  title         = {Mixed Finite Element Beam Propagation Method},
7747  petsc_uses    = {KSP}
7748}
7749
7750@Article{         s1,
7751  author        = {J. L. Friedman and N. Stergioulas},
7752  journal       = {Astrophysics Journal},
7753  year          = {1998},
7754  volume        = {492},
7755  number        = {301},
7756  pages         = {},
7757  title         = {},
7758  petsc_uses    = {KSP}
7759}
7760
7761@Article{         s1a,
7762  author        = {S. M. Morsink and N. Stergioulas and S. Blattnig},
7763  journal       = {Astrophysics Journal},
7764  year          = {1999},
7765  volume        = {510},
7766  number        = {854},
7767  pages         = {},
7768  title         = {},
7769  petsc_uses    = {KSP}
7770}
7771
7772@PhDThesis{       s2,
7773  author        = {N. Stergioulas},
7774  title         = {Ph. D. thesis},
7775  year          = {1996},
7776  institution   = {University of Wisconsin-Milwaukee},
7777  petsc_uses    = {KSP}
7778}
7779
7780@InProceedings{   coral1,
7781  author        = {L. Kettunen and K. Forsman and D. Levine and W. Gropp},
7782  title         = {Solutions of TEAM Problem \#13 Using Integral Equations in a Sequential and
7783                  Parallel Computing Environment},
7784  booktitle     = {Proceedings of the Miami TEAM Workshop},
7785  location      = {Florida International University, Department of Electrical Engineering and
7786                  Computing Science},
7787  month         = nov,
7788  year          = {1993},
7789  petsc_uses    = {KSP}
7790}
7791
7792@InProceedings{   coral2,
7793  author        = {L. Kettunen and K. Forsman and D. Levine and W. Gropp},
7794  title         = {Solutions of TEAM Problems 13 and 20 Using a Volume Integral Formulation},
7795  booktitle     = {Proceedings of Aix-les-Bains TEAM Workshop},
7796  month         = dec,
7797  year          = {1994},
7798  petsc_uses    = {KSP}
7799}
7800
7801@InProceedings{   coral3,
7802  author        = {L. Kettunen and K. Forsman and D. Levine and W. Gropp},
7803  title         = {Computational Electromagnetics and Parallel Dense Matrix Computations},
7804  booktitle     = {Proceedings of the SIAM Parallel Processing for Scientific Computing Conference},
7805  location      = {Florida International University, Department of Electrical Engineering and
7806                  Computing Science},
7807  year          = {1995},
7808  petsc_uses    = {KSP}
7809}
7810
7811@InProceedings{   mijalkovic,
7812  author        = {Slobodan Mijalkovi\'{c}},
7813  title         = {Evaluation of Multigrid as a Solver for Stress Analysis Problems in Semiconductor
7814                  Process Simulation},
7815  booktitle     = {Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference Held
7816                  Gent, Belgium, September 27--30, 1999.},
7817  editor        = {Erik Dick, Kris Riemslagh, Jan Vierendeels},
7818  optvolume     = {14},
7819  optseries     = {Lecture Notes in Computational Science and Engineering},
7820  year          = {2000},
7821  publisher     = {Springer},
7822  address       = {Berlin},
7823  optpages      = {179--184},
7824  petsc_uses    = {KSP}
7825}
7826
7827@Article{         bludszuwei98a,
7828  author        = {Mark Bludszuweit},
7829  journal       = {Journal of Lightwave Technology},
7830  year          = {1998},
7831  volume        = {16},
7832  number        = {7},
7833  pages         = {1336--42},
7834  title         = {Mixed Finite Element Beam Propagation Method},
7835  petsc_uses    = {KSP}
7836}
7837
7838@Article{         gilli-pauletto-1998,
7839  author        = {Manfred Gilli and Giorgio Pauletto},
7840  title         = {Parallel {K}rylov Methods for Econometric Model Simulation},
7841  journal       = {Computational Economics},
7842  year          = {2000},
7843  volume        = {16},
7844  pages         = {173--186},
7845  petsc_uses    = {KSP}
7846}
7847
7848% LiteralHTML:
7849% LiteralHTML:  <a name="packages"></a><H3><center>Software Packages that use or interface to PETSc</center></H3>
7850% LiteralHTML:
7851@Article{         collierdalcincalo2013,
7852  title         = {{PetIGA}: High-Performance Isogeometric Analysis},
7853  author        = {Nathan Collier and Lisandro Dalcin and Victor M. Calo},
7854  journal       = {arxiv},
7855  year          = {2013},
7856  number        = {1305.4452},
7857  note          = {\url{http://arxiv.org/abs/1305.4452}},
7858  petsc_uses    = {KSP}
7859}
7860
7861@Article{         collierdalcinvignalcortescalo2016,
7862  title         = {PetIGA: A framework for high-performance isogeometric analysis},
7863  author        = {Lisandro Dalcin and Nathan Collier and Philippe Vignal and AMA C{\^o}rtes and
7864                  Victor M. Calo},
7865  journal       = {Computer Methods in Applied Mechanics and Engineering},
7866  year          = {2016},
7867  petsc_uses    = {KSP}
7868}
7869
7870@Misc{            petiga-web-page,
7871  author        = {N. Collier and L. Dalcin and V.M. Calo},
7872  title         = {{PetIGA} {W}eb page},
7873  url           = {https://bitbucket.org/dalcinl/petiga/},
7874  howpublished  = {\url{https://bitbucket.org/dalcinl/petiga/}},
7875  year          = {2014},
7876  petsc_uses    = {KSP}
7877}
7878
7879@Article{         logg07,
7880  author        = {Logg, Anders},
7881  title         = {Automating the Finite Element Method},
7882  journal       = {Archives of Computational Methods in Engineering},
7883  volume        = {14},
7884  number        = {2},
7885  pages         = {93-138},
7886  year          = {2007},
7887  doi           = {10.1007/s11831-007-9003-9},
7888  publisher     = {Kluwer Academic Publishers},
7889  issn          = {1134-3060},
7890  language      = {English},
7891  petsc_uses    = {KSP}
7892}
7893
7894@Article{         jezequelcouturierdenis12,
7895  author        = {Jezequel, Fabienne and Couturier, Rapha\"el and Denis, Christophe},
7896  title         = {Solving large sparse linear systems in a grid environment: the GREMLINS code
7897                  versus the PETSc library},
7898  journal       = {The Journal of Supercomputing},
7899  volume        = {59},
7900  number        = {3},
7901  pages         = {1517-1532},
7902  year          = {2012},
7903  issn          = {0920-8542},
7904  doi           = {10.1007/s11227-011-0563-y},
7905  publisher     = {Springer US},
7906  keywords      = {Asynchronous iterations; Grid computing; Iterative method; Multisplitting method;
7907                  Sparse linear solver},
7908  language      = {English},
7909  petsc_uses    = {KSP}
7910}
7911
7912@Unpublished{     feap-web-page,
7913  title         = {FEAP: A Finite Element Analysis Program},
7914  url           = {http://www.ce.berkeley.edu/projects/feap/},
7915  author        = {FEAP Team},
7916  note          = {Uses PETSc linear solvers - iterative and direct},
7917  petsc_uses    = {KSP}
7918}
7919
7920@Unpublished{     parpre-web-page,
7921  title         = {{ParPre} {W}eb {P}age},
7922  url           = {http://www.cs.utk.edu/\~{ }eijkhout/parpre.html},
7923  institution   = {University of Tennessee},
7924  author        = {Victor Eijkhout},
7925  note          = {This is no longer supported. A set of preconditioners built on PETSc},
7926  petsc_uses    = {KSP}
7927}
7928
7929@Unpublished{     pism,
7930  title         = {{PISM}: a Parallel Ice Sheet Model},
7931  author        = {{PISM Team}},
7932  abstract      = {We have developed a numerical model of ice sheets called PISM (a Parallel Ice
7933                  Sheet Model). The thickness, temperature, velocity and age of the ice are all
7934                  simulated, as is the deformation of the earth underneath the ice. New techniques
7935                  for fast ice dynamics, earth deformation, and verification have are included.},
7936  note          = {\url{http://www.pism-docs.org/}},
7937  petsc_uses    = {KSP}
7938}
7939
7940@Unpublished{     oofem,
7941  title         = {OOFEM - an object oriented finite element package},
7942  author        = {Borek Patzak},
7943  url           = {http://www.oofem.org},
7944  petsc_uses    = {KSP}
7945}
7946
7947@Unpublished{     dks2openfvm,
7948  title         = {OpenFVM - a finite volume based general purpose CFD solver},
7949  author        = {Open source development},
7950  url           = {http://openfvm.sourceforge.net/},
7951  petsc_uses    = {KSP}
7952}
7953
7954@Unpublished{     sundar-2008w,
7955  title         = {DENDRO: a parallel geometric multigrid library for trilinear finite elements on
7956                  octree meshes},
7957  author        = {H. Sundar and R.S. Sampath and S.S. Adavani and C. Davatzikos and G. Biros},
7958  institution   = {University of Pennsylvania},
7959  url           = {http://www.seas.upenn.edu/~csela/dendro/html/index.html},
7960  petsc_uses    = {KSP}
7961}
7962
7963@Unpublished{     khatiwala07-software,
7964  title         = {A computational framework for simulation of biogeochemical tracers in the ocean},
7965  author        = {Khatiwala, S.},
7966  institution   = {Columbia University},
7967  url           = {http://www.ldeo.columbia.edu/\~{ }spk},
7968  petsc_uses    = {KSP}
7969}
7970
7971@InBook{          jiaolima99,
7972  author        = {Xiangmin Jiao and Xiang-Yang Li and Xiaosong Ma},
7973  chapter       = {{SIFFEA}:Scalable Integrated Framework for Finite Element Analysis},
7974  url           = {http://portal.acm.org/citation.cfm?id=646895.709725},
7975  title         = {Lecture Notes in Computer Science},
7976  publisher     = {Springer-Verlag},
7977  volume        = {1732},
7978  year          = {1999},
7979  petsc_uses    = {KSP}
7980}
7981
7982@Article{         crow1,
7983  author        = {C. S. Crow IV},
7984  title         = {DistSolve: An Open Source Web Service for Solving Sparse Systems of Equations},
7985  journal       = {Hopkins Undergraduate Research Journal},
7986  year          = {2003},
7987  url           = {http://www.jhu.edu/hurj/issue2/09D%20Crow%20DistSolve.pdf},
7988  petsc_uses    = {KSP}
7989}
7990
7991@Unpublished{     petsc-python,
7992  title         = {PETSc for Python},
7993  author        = {L. Dalcin},
7994  url           = {https://petsc.org/main/petsc4py},
7995  note          = {Provides Python bindings for PETSc},
7996}
7997
7998@Unpublished{     cfdship,
7999  title         = {{CFDShip-Iowa}},
8000  author        = {Pablo M. Carrica and Robert V. Wilson and Fred Stern},
8001  institution   = {University of Iowa},
8002  url           = {http://www.iihr.uiowa.edu/\~{ }cfdship/},
8003  note          = {CFDShip-Iowa is a multiblock free surface flow solver that uses overset
8004                  structured grids, designed for ship applications},
8005  petsc_uses    = {KSP}
8006}
8007
8008@Unpublished{     bvw,
8009  title         = {Multiflow},
8010  author        = {Berend van Wachem},
8011  institution   = {Mechanical Engineering - Chalmers University of Technology},
8012  url           = {http://www.tfd.chalmers.se/\~{ }berend/page3.html},
8013  note          = {MultiFlow is a curvlinear, multiblock, multiprocessor flowsolver for multiphase
8014                  flows.},
8015  petsc_uses    = {KSP}
8016}
8017
8018@Unpublished{     dks2,
8019  title         = {FENA - A Finite Element Model for the North Atlantic},
8020  author        = {Jens Schroeter},
8021  institution   = {Alfred-Wegener-Institute for Polar and Marine Research},
8022  url           = {http://www.awi-bremerhaven.de/Modelling/INVERSE/FENAdesc/FENAdesc.html},
8023  petsc_uses    = {KSP}
8024}
8025
8026@TechReport{      piwonski2010idea,
8027  title         = {The Idea and Concept of {Metos3D}: {A} Marine Ecosystem Toolkit for Optimization
8028                  and Simulation in {3-D}},
8029  author        = {Piwonski, J. and Slawig, T.},
8030  year          = {2010},
8031  institution   = {Christian-Albrechts-Universit\"at zu Kiel},
8032  url           = {http://www.informatik.uni-kiel.de/uploads/tx_publication/tr_1016_01.pdf},
8033  petsc_uses    = {KSP}
8034}
8035
8036@Unpublished{     metos3d-web,
8037  title         = {{Metos3D}: {A} Marine Ecosystem Toolkit for Optimization and Simulation in 3-D},
8038  author        = {Piwonski, J. and Slawig, T.},
8039  institution   = {Christian-Albrechts-Universit\"at zu Kiel},
8040  url           = {http://www.informatik.uni-kiel.de/en/algorithmic-optimal-control/software/metos3d/},
8041  petsc_uses    = {KSP}
8042}
8043
8044@Unpublished{     magpar,
8045  author        = {W. Scholz},
8046  title         = {Magpar: Parallel Micromagnetics Code},
8047  institution   = {Vienna University of Technology},
8048  url           = {http://magnet.atp.tuwien.ac.at/scholz/magpar/},
8049  petsc_uses    = {KSP}
8050}
8051
8052@Misc{            libmesh:sourceforge,
8053  author        = {},
8054  title         = {{libMesh}:a C++ framework for the numerical simulation of partial differential
8055                  equations on serial and parallel platforms},
8056  note          = {[Online]},
8057  url           = {http://libmesh.github.io},
8058  petsc_uses    = {KSP}
8059}
8060
8061@Misc{            moose-web-page,
8062  title         = {Multiphysics {O}bject-{O}riented {S}imulation {E}nvironment ({MOOSE})},
8063  author        = {David Andrs and Cody Permann and Andrew Slaughter and Richard Martineau and Derek
8064                  Gaston and John Peterson and Jason Miller},
8065  institution   = {Idaho National Laboratory},
8066  howpublished  = {\url{http://mooseframework.org}},
8067  petsc_uses    = {KSP}
8068}
8069
8070@Article{         gaston2009moose,
8071  title         = {MOOSE: {A} parallel computational framework for coupled systems of nonlinear
8072                  equations},
8073  author        = {Gaston, D. and Newman, C. and Hansen, G. and Lebrun-Grandi{\'e}, D.},
8074  journal       = {Nuclear Engineering and Design},
8075  volume        = {239},
8076  number        = {10},
8077  pages         = {1768--1778},
8078  year          = {2009},
8079  publisher     = {Elsevier},
8080  petsc_uses    = {KSP}
8081}
8082
8083@Article{         tonks2012object,
8084  title         = {An object-oriented finite element framework for multiphysics phase field
8085                  simulations},
8086  author        = {Tonks, M.R. and Gaston, D. and Millett, P.C. and Andrs, D. and Talbot, P.},
8087  journal       = {Computational Materials Science},
8088  volume        = {51},
8089  number        = {1},
8090  pages         = {20--29},
8091  year          = {2012},
8092  publisher     = {Elsevier},
8093  petsc_uses    = {KSP}
8094}
8095
8096@Misc{            pylithmanual,
8097  author        = {Brad Aagaard and Sue Kientz and Matthew G. Knepley and Surendra Somala and Leif
8098                  Strand and Charles Williams},
8099  title         = {{PyLith} User Manual Version 2.0.0},
8100  year          = {2014},
8101  url           = {http://geodynamics.org/cig/software/github/pylith/v2.0.0/pylith-2.0.0_manual.pdf},
8102  petsc_uses    = {KSP}
8103}
8104
8105@Misc{            pylith-web-page,
8106  author        = {Brad Aagaard and Matthew G. Knepley and Charles Williams},
8107  title         = {{PyLith}},
8108  year          = {2012},
8109  url           = {http://geodynamics.org/resources/pylith/},
8110  howpublished  = {\url{http://geodynamics.org/resources/pylith/}},
8111  petsc_uses    = {KSP}
8112}
8113
8114@Misc{            galemanual,
8115  author        = {Walter Landry and Luke Hodkinson and Susan Kientz},
8116  title         = {Gale User Manual Version 2.0.0},
8117  year          = {2011},
8118  url           = {http://geodynamics.org/cig/software/gale/gale.pdf},
8119  petsc_uses    = {KSP}
8120}
8121
8122@Unpublished{     underworld,
8123  author        = {Louis Moresi},
8124  title         = {{UnderWorld}: A Geodynamics Modelling Code},
8125  institution   = {Monash University},
8126  url           = {http://www.mcc.monash.edu/twiki/view/Codes},
8127  petsc_uses    = {KSP}
8128}
8129
8130@Article{         moresi2007computational,
8131  title         = {Computational approaches to studying non-linear dynamics of the crust and
8132                  mantle},
8133  author        = {Moresi, L. and Quenette, S. and Lemiale, V. and Meriaux, C. and Appelbe, B. and
8134                  M{\"u}hlhaus, H.B.},
8135  journal       = {Physics of the Earth and Planetary Interiors},
8136  volume        = {163},
8137  number        = {1-4},
8138  pages         = {69--82},
8139  year          = {2007},
8140  publisher     = {Elsevier},
8141  petsc_uses    = {KSP}
8142}
8143
8144@Article{         pitt2009chaste,
8145  title         = {Chaste: a test-driven approach to software development for biological modelling},
8146  author        = {Pitt-Francis, J. and Pathmanathan, P. and Bernabeu, M.O. and Bordas, R. and
8147                  Cooper, J. and Fletcher, A.G. and Mirams, G.R. and Murray, P. and Osborne, J.M.
8148                  and Walter, A. and others},
8149  journal       = {Computer Physics Communications},
8150  volume        = {180},
8151  number        = {12},
8152  pages         = {2452--2471},
8153  year          = {2009},
8154  publisher     = {Elsevier},
8155  petsc_uses    = {KSP}
8156}
8157
8158@Misc{            fenicsproject,
8159  title         = {{The FEniCS project}},
8160  author        = {Logg, A. and {\O}lgaard, K. and Rognes, M.E. and Wells, G.N. and Jansson, J. and
8161                  Kirby, R.C. and Knepley, M.G. and Lindbo, D. and Skavhaug, O.},
8162  note          = {A continually updated technical report. \url{http://fenicsproject.org}},
8163  url           = {http://fenicsproject.org},
8164  year          = {2011},
8165  petsc_uses    = {KSP}
8166}
8167
8168@Unpublished{     snark,
8169  title         = {Snark: A suite of software for geoscientific applications and a philosophy of
8170                  scientific software development},
8171  institution   = {Victorian Partnership for Advanced Computing},
8172  url           = {http://vpac.org/Snark},
8173  petsc_uses    = {KSP}
8174}
8175
8176@Misc{            imoose:sourceforge,
8177  author        = {Guido Arians and Thomas Bauer and Christian Kaehler and Wolfgang Mai and
8178                  Christoph Monzel and Dirk {van Riesen} and Christoph Schlensok},
8179  title         = {Innovative Modern Object-Oriented Solving Environment - {iMOOSE}},
8180  note          = {[Online]},
8181  url           = {http://imoose.sourceforge.net},
8182  petsc_uses    = {KSP}
8183}
8184
8185@Unpublished{     fossi,
8186  author        = {Stephan Frickenhaus},
8187  title         = {FoSSI: Family of Simplified Solver Interfaces, offers scalable access to
8188                  MPI-parallel solvers from CSR-matrix format frequently used in sequential/vector
8189                  codes},
8190  institution   = {AWI-Bremerhaven, Germanny},
8191  url           = {http://www.awi.de/en/research/scientific_computing/research_topics_of_scientific_computing/fossi/},
8192  petsc_uses    = {KSP}
8193}
8194
8195@Unpublished{     fun3dweb,
8196  author        = {Dinesh Kaushik},
8197  title         = {PETSC-FUN3D Benchmark Page},
8198  institution   = {ODU/ANL},
8199  url           = {http://www.mcs.anl.gov/petsc-fun3d},
8200  note          = {CFD Benchmark of some solvers in PETSc},
8201  petsc_uses    = {KSP}
8202}
8203
8204@Unpublished{     scirun,
8205  author        = {SCIRun Development Team},
8206  title         = {SCIRun},
8207  institution   = {University of Utah},
8208  url           = {http://www.sci.utah.edu/stories/2001/jul_scirun120.html},
8209  note          = {SCIRun now uses PETSc linear solvers},
8210  petsc_uses    = {KSP}
8211}
8212
8213@Misc{            prometheus,
8214  author        = {Mark F. Adams},
8215  title         = {Prometheus - A scalable unstructured finite element solver},
8216  institution   = {Berkeley},
8217  howpublished  = {\url{http://www.cs.berkeley.edu/~madams/prometheus}},
8218  url           = {http://www.cs.berkeley.edu/\~{ }madams/prometheus},
8219  petsc_uses    = {KSP}
8220}
8221
8222@Unpublished{     illuminator,
8223  author        = {Adam C. Powell, IV},
8224  title         = {Illuminator Distributed Visualization Library},
8225  url           = {http://lyre.mit.edu/\~{ }powell/Illuminator.html},
8226  petsc_uses    = {KSP}
8227}
8228
8229@Unpublished{     rheoplast,
8230  title         = {RheoPlast Phase Field Multi-Physics Code},
8231  author        = {Adam Powell and David Dussault and Bo Zhou},
8232  url           = {http://lyre.mit.edu/\~{ }powell/rheoplast.html},
8233  petsc_uses    = {KSP}
8234}
8235
8236@Misc{            tao-web-page,
8237  title         = {{Toolkit for Advanced Optimization ({TAO})} {W}eb Page},
8238  author        = {Alp Dener and Adam Denchfield and Todd Munson and Jason Sarich and Stefan Wild
8239                  and Steve Benson and Lois Curfman McInnes and Jorge Mor{\'e}},
8240  institution   = {Mathematics and Computer Science Division, Argonne National Laboratory},
8241  howpublished  = {\url{http://www.mcs.anl.gov/tao}},
8242  petsc_uses    = {KSP}
8243}
8244
8245@TechReport{      tao-user-ref,
8246  title         = {{Toolkit for Advanced Optimization ({TAO}) users manual}},
8247  author        = {Alp Dener and Adam Denchfield and Todd Munson and Jason Sarich and Stefan Wild
8248                  and Steve Benson and Lois Curfman McInnes},
8249  institution   = {Argonne National Laboratory},
8250  year          = {2019},
8251  number        = {ANL/MCS-TM-322 - Rev 3.12},
8252  petsc_uses    = {KSP}
8253}
8254
8255%  url    = "http://www.mcs.anl.gov/tao",
8256@Unpublished{     mefpp-web-page,
8257  title         = {{MEF++} {W}eb {P}age},
8258  url           = {http://www.giref.ulaval.ca/ressources/projets/mefpp.html},
8259  institution   = {Groupe Interdisiplinaire de Recherche en Elements Finis},
8260  author        = {Eric Chamberland},
8261  note          = {A finite element code for fluid dynamics, solid mechanics, thermal and
8262                  multiphysics},
8263  petsc_uses    = {KSP}
8264}
8265
8266@Unpublished{     tipetsc-titanium,
8267  title         = {Ti-PETSc - an interface to PETSc from Titanium},
8268  institution   = {Berkeley},
8269  author = {He, Yun and Liblit, Bun and Lin, Chang},
8270  url           = {https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=9f7959be13337c735d52e5c0b0994bdea6d75a96},
8271  year = {1999},
8272  petsc_uses    = {KSP},
8273}
8274
8275@Unpublished{     ptatin-web-page,
8276  title         = {ptatin3d},
8277  author        = {Jed Brown and Laetitia {Le Pourhiet} and Dave A. May and Patrick Sanan},
8278  url           = {https://bitbucket.org/jedbrown/ptatin3d},
8279  year          = {2018},
8280  petsc_uses    = {KSP}
8281}
8282
8283@Misc{            multiphase-web-page,
8284  author        = {Q. Zou},
8285  title         = {Multiphase flow with {PETSc}},
8286  institution   = {LANL},
8287  howpublished  = {\url{http://cnls-www.lanl.gov/~qzou}},
8288  url           = {http://cnls-www.lanl.gov/\~{ }qzou},
8289  lab           = {LANL},
8290  petsc_uses    = {KSP}
8291}
8292
8293@Misc{            electromag-web-page,
8294  title         = {{EMSolve Web} page},
8295  institution   = {LLNL},
8296  howpublished  = {http://www.llnl.gov/casc/emsolve},
8297  url           = {http://www.Llnl.gov/casc/emsolve},
8298  author        = {Daniel {White et al.}},
8299  lab           = {LLNL},
8300  petsc_uses    = {KSP}
8301}
8302
8303@Unpublished{     fe-software-web-page,
8304  institution   = {Kuleuven},
8305  title         = {Finite element software},
8306  url           = {http://www.esat.kuleuven.ac.be/elen/research/software-development},
8307  petsc_uses    = {KSP}
8308}
8309
8310@Misc{            petsc-web-page,
8311  author        = {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Steven Benson and Jed
8312                  Brown and Peter Brune and Kris Buschelman and Emil~M. Constantinescu and Lisandro
8313                  Dalcin and Alp Dener and Victor Eijkhout and Jacob Faibussowitsch and William~D.
8314                  Gropp and V\'{a}clav Hapla and Tobin Isaac and Pierre Jolivet and Dmitry Karpeev
8315                  and Dinesh Kaushik and Matthew~G. Knepley and Fande Kong and Scott Kruger and
8316                  Dave~A. May and Lois Curfman McInnes and Richard Tran Mills and Lawrence Mitchell
8317                  and Todd Munson and Jose~E. Roman and Karl Rupp and Patrick Sanan and Jason Sarich
8318                  and Barry~F. Smith and Stefano Zampini and Hong Zhang and Hong Zhang and Junchao
8319                  Zhang},
8320  title         = {{PETS}c {W}eb page},
8321  url           = {https://petsc.org/},
8322  howpublished  = {\url{https://petsc.org/}},
8323  year          = {2023}
8324}
8325
8326@Unpublished{     petsc-debian-package,
8327  author        = {Adam C. Powell, IV},
8328  title         = {Debian package for PETSc},
8329  url           = {http://lyre.mit.edu/\~{ }powell/petsc.html},
8330  petsc_uses    = {KSP}
8331}
8332
8333@Unpublished{     cactus,
8334  title         = {Cactus Website},
8335  url           = {http://www.cactuscode.org/},
8336  note          = {Provides two interface to the PETSc solvers},
8337  petsc_uses    = {KSP}
8338}
8339
8340@Unpublished{     petsc-fem,
8341  author        = {Mario Storti and Norberto Nigro},
8342  title         = {PETSc-FEM: A General Purpose, Parallel, Multi-Physics FEM Program},
8343  institution   = {Centro Internacional de Metodos Computacionales en Ingenieria (CIMEC)},
8344  url           = {http://www.cimec.org.ar/petscfem},
8345  petsc_uses    = {KSP}
8346}
8347
8348@Misc{            fidap,
8349  title         = {FIDAP 8.5},
8350  howpublished  = {\url{http://www.fluent.com}},
8351  url           = {http://www.fluent.com},
8352  note          = {Fluent's commercial finite element fluid code uses PETSc for parallel linear
8353                  solves.},
8354  key           = {FIDAP 8.5},
8355  petsc_uses    = {KSP}
8356}
8357
8358@Unpublished{     slepc,
8359  author        = {Carmen Campos and Jos\'e E. Rom\'an and Eloy Romero and Andr\'es Tom\'as and
8360                  Vicente Hern\'andez and Vicent Vidal},
8361  title         = {{SLEPc} Website},
8362  url           = {http://slepc.upv.es/},
8363  note          = {Scalable Library for Eigenvalue Problem Computations},
8364  petsc_uses    = {KSP}
8365}
8366
8367@TechReport{      slepc-users-manual,
8368  author        = {Carmen Campos and Jos\'e E. Rom\'an and Eloy Romero and Andr\'es Tom\'as and
8369                  Vicente Hern\'andez and Vicent Vidal},
8370  title         = {{SLEPc} Users Manual},
8371  number        = {DISC-II/24/02},
8372  url           = {http://slepc.upv.es/},
8373  note          = {Scalable Library for Eigenvalue Problem Computations},
8374  petsc_uses    = {KSP}
8375}
8376
8377@Misc{            deal.ii,
8378  title         = {deal.II},
8379  howpublished  = {\url{http://www.dealii.org}},
8380  url           = {http://www.dealii.org},
8381  note          = {deal.II is a C++ library targeting adaptive finite elements and error estimation.
8382                  It allows PETSc linear algebra and solvers to be used underneath.},
8383  key           = {deal.II 5.0},
8384  petsc_uses    = {KSP}
8385}
8386
8387@Article{         bangerth2007deal,
8388  title         = {{deal.II---A general-purpose object-oriented finite element library}},
8389  author        = {Bangerth, W. and Hartmann, R. and Kanschat, G.},
8390  journal       = {ACM Transactions on Mathematical Software (TOMS)},
8391  volume        = {33},
8392  number        = {4},
8393  pages         = {24--es},
8394  issn          = {0098-3500},
8395  year          = {2007},
8396  publisher     = {ACM},
8397  petsc_uses    = {KSP}
8398}
8399
8400@Misc{            globalarrays,
8401  author        = {Jarek {Nieplocha et al.}},
8402  title         = {Global Arrays},
8403  institution   = {Pacific Northwest National Laboratories},
8404  howpublished  = {\url{http://www.emsl.pnl.gov/docs/global}},
8405  url           = {http://www.emsl.pnl.gov/docs/global},
8406  note          = {Global arrays can use PETSc linear solvers},
8407  lab           = {PNNL},
8408  petsc_uses    = {KSP}
8409}
8410
8411% LiteralHTML:
8412% LiteralHTML:  <a name="software"><H3><center>Software Engineering</center></H3>
8413% LiteralHTML:
8414@Article{         petsccommunity2022,
8415  title         = {The Community is the Infrastructure: A Short Discussion of the {PETSc} User
8416                  Community},
8417  author        = {Mark Adams and Satish Balay and Jed Brown and Victor Eijkhout and Jacob
8418                  Faibussowitsch and Fande Kong and Matthew Knepley and Scott Kruger and Oana Marin
8419                  and Richard Mills and Todd Munson and Patrick Sanan and Barry Smith and Hong Zhang
8420                  and Hong Zhang and Junchao Zhang},
8421  journal       = {Computing in Science and Engineering},
8422  volume        = {24},
8423  number        = {03},
8424  pages         = {6--15},
8425  issn          = {1558-366X},
8426  doi           = {10.1109/MCSE.2022.3169974},
8427  publisher     = {IEEE Computer Society},
8428  address       = {Los Alamitos, CA, USA},
8429  month         = may,
8430  year          = {2022},
8431  url           = {https://figshare.com/articles/conference_contribution/The_Community_is_the_Infrastructure_A_Short_Discussion_of_the_PETSc_User_Community/16523043},
8432  petsc_uses    = {KSP}
8433}
8434
8435@Article{         brownknepleysmith14,
8436  author        = {Jed Brown and Matthew G. Knepley and Barry Smith},
8437  title         = {Run-time extensibility and librarization of simulation software},
8438  journal       = {IEEE Computing in Science and Engineering},
8439  month         = jan,
8440  volume        = {17},
8441  number        = {1},
8442  pages         = {38--45},
8443  doi           = {10.1109/MCSE.2014.95},
8444  year          = {2015},
8445  petsc_uses    = {KSP}
8446}
8447
8448@TechReport{      ass2012,
8449  author        = {Shrirang Abhyankar and Barry Smith and Kerry Stevens},
8450  title         = {Preliminary implementation of Hybrid {MPI}/pthread programming model in {PETSc}},
8451  institution   = {Argonne National Laboratory},
8452  type          = {Preprint},
8453  year          = {2012},
8454  number        = {ANL/MCS-P2011-0112},
8455  petsc_uses    = {KSP}
8456}
8457
8458@TechReport{      clearyknepley99,
8459  author        = {Andrew Cleary and Matthew G. Knepley},
8460  title         = {Solvers as Operators},
8461  institution   = {Lawrence Livermore National Laboratory},
8462  type          = {Technical Report},
8463  number        = {UCRL-ID-135342},
8464  year          = {1999},
8465  petsc_uses    = {KSP}
8466}
8467
8468@TechReport{      smcabbkz2012,
8469  author        = {Barry Smith and Lois Curfman McInnes and Emil Constantinescu and Mark Adams and
8470                  Satish Balay and Jed Brown and Matthew Knepley and Hong Zhang},
8471  title         = {{PETSc's} software strategy for the design space of composable extreme-scale
8472                  solvers},
8473  institution   = {Argonne National Laboratory},
8474  type          = {Preprint},
8475  note          = {{DOE} Exascale Research Conference, April 16-18, 2012, Portland, OR},
8476  year          = {2012},
8477  number        = {ANL/MCS-P2059-0312},
8478  petsc_uses    = {KSP}
8479}
8480
8481@InProceedings{   mhwpmhs2009,
8482  author        = {R. T. Mills and F. M. Hoffman and P. H. Worley and K. S. Pwerumalla and A. Mirin
8483                  and G. E. Hammond and B. Smith},
8484  title         = {Coping at the User-Level with Resource Limitations in the {Cray} Message Passing
8485                  Toolkit {MPI} at Scale},
8486  booktitle     = {Cray Users Group Conference},
8487  year          = {2009},
8488  petsc_uses    = {KSP}
8489}
8490
8491@InProceedings{   msmhls2010,
8492  author        = {R. T. Mills and V. Sripathi and G. Mahinthakumar and G. Hammond and P. C.
8493                  Lichtner and B. F. Smith},
8494  title         = {Engineering {PFLOTRAN} for Scalable Performance on {Cray} {XT} and {IBM}
8495                  {BlueGene} Architectures},
8496  booktitle     = {Proceedings of SciDAC 2010 Annual Meeting},
8497  year          = {2010},
8498  petsc_uses    = {KSP}
8499}
8500
8501@InCollection{    msk2013,
8502  author        = {Victor Minden and Barry F. Smith and Matthew G. Knepley},
8503  title         = {Preliminary Implementation of {PETSc} Using {GPUs}},
8504  booktitle     = {GPU Solutions to Multi-scale Problems in Science and Engineering},
8505  series        = {Lecture Notes in Earth System Sciences},
8506  editor        = {David A. Yuen and Long Wang and Xuebin Chi and Lennart Johnsson and Wei Ge and
8507                  Yaolin Shi},
8508  doi           = {10.1007/978-3-642-16405-7_7},
8509  publisher     = {Springer Berlin Heidelberg},
8510  pages         = {131--140},
8511  year          = {2013},
8512  isbn          = {978-3-642-16404-0},
8513  petsc_uses    = {KSP}
8514}
8515
8516@InCollection{    knepleyyuen13,
8517  author        = {Matthew G. Knepley and David A. Yuen},
8518  title         = {Why Scientists and Engineers need {GPU}s today},
8519  booktitle     = {GPU Solutions to Multi-scale Problems in Science and Engineering},
8520  series        = {Lecture Notes in Earth System Sciences},
8521  editor        = {David A. Yuen and Long Wang and Xuebin Chi and Lennart Johnsson and Wei Ge and
8522                  Yaolin Shi},
8523  doi           = {10.1007/978-3-642-16405-7_1},
8524  publisher     = {Springer Berlin Heidelberg},
8525  pages         = {131--140},
8526  year          = {2013},
8527  isbn          = {978-3-642-16404-0},
8528  petsc_uses    = {KSP}
8529}
8530
8531@InCollection{    karpeevknepleybrune13,
8532  author        = {Dmitry A. Karpeev and Matthew G. Knepley and Peter R. Brune},
8533  title         = {Accurate Evaluation of Local Averages on {GPGPUs}},
8534  booktitle     = {GPU Solutions to Multi-scale Problems in Science and Engineering},
8535  series        = {Lecture Notes in Earth System Sciences},
8536  editor        = {David A. Yuen and Long Wang and Xuebin Chi and Lennart Johnsson and Wei Ge and
8537                  Yaolin Shi},
8538  doi           = {10.1007/978-3-642-16405-7_30},
8539  publisher     = {Springer Berlin Heidelberg},
8540  pages         = {487--501},
8541  year          = {2013},
8542  isbn          = {978-3-642-16404-0},
8543  petsc_uses    = {KSP}
8544}
8545
8546@InCollection{    zhengetal13,
8547  title         = {{GPU} Implementation of Multigrid Solver for {S}tokes Equation with Strongly
8548                  Variable Viscosity},
8549  author        = {Liang Zheng and Taras Gerya and Matthew G. Knepley and David A. Yuen and Huai
8550                  Zhang and Yaolin Shi},
8551  booktitle     = {GPU Solutions to Multi-scale Problems in Science and Engineering},
8552  series        = {Lecture Notes in Earth System Sciences},
8553  editor        = {David A. Yuen and Long Wang and Xuebin Chi and Lennart Johnsson and Wei Ge and
8554                  Yaolin Shi},
8555  doi           = {10.1007/978-3-642-16405-7_21},
8556  publisher     = {Springer Berlin Heidelberg},
8557  pages         = {321--333},
8558  year          = {2013},
8559  isbn          = {978-3-642-16404-0},
8560  petsc_uses    = {KSP}
8561}
8562
8563@Article{         zhengetal13b,
8564  title         = {Implementation of a multigrid solver on {GPU} for {S}tokes equations with
8565                  strongly variable viscosity based on {M}atlab and {CUDA}},
8566  author        = {Liang Zheng and Taras Gerya and Matthew G. Knepley and David A. Yuen and Huai
8567                  Zhang and Yaolin Shi},
8568  journal       = {IJHPCA},
8569  volume        = {28},
8570  number        = {1},
8571  pages         = {50--60},
8572  doi           = {10.1177/1094342013478640},
8573  year          = {2013},
8574  petsc_uses    = {KSP}
8575}
8576
8577@InBook{          s2011,
8578  author        = {B. Smith},
8579  chapter       = {PETSc, the Portable, Extensible Toolkit for Scientific computing},
8580  title         = {Encyclopedia of Parallel Computing},
8581  bookeditor    = {D. Padua},
8582  publisher     = {Springer},
8583  year          = {2011},
8584  petsc_uses    = {KSP}
8585}
8586
8587@Article{         acostamejia06,
8588  author        = {Carlos D. Acosta and Carlos E. Mej\'ia},
8589  title         = {Computaci\'on cient\'ifica en paralelo con interfaz MATLAB a PETSc},
8590  journal       = {Lecturas Matem\'aticas},
8591  volume        = {27},
8592  year          = {2006},
8593  pages         = {213--224},
8594  petsc_uses    = {KSP}
8595}
8596
8597@InProceedings{   quenettemoresisunterappelbe07,
8598  author        = {Steve Quenette and Louis Moresi and {P. D.} Sunter and Bill F. Appelbe},
8599  title         = {Explaining StGermain: An aspect oriented environment for building extensible
8600                  computational mechanics modeling software},
8601  booktitle     = {Parallel and Distributed Processing Symposium, IPDPS 2007},
8602  publisher     = {IEEE},
8603  pages         = {1--8},
8604  yerar         = {2007},
8605  petsc_uses    = {KSP}
8606}
8607
8608@Article{         dfm1,
8609  title         = {Vectorized sparse matrix multiply for compressed row storage format},
8610  author        = {E. F. D'Azevedo and M. R. Fahey and R. T. Mills},
8611  journal       = {Lecture Notes in Computer Science},
8612  year          = {2005},
8613  pages         = {99--106},
8614  volume        = {3514},
8615  lab           = {ORNL},
8616  petsc_uses    = {KSP}
8617}
8618
8619@InProceedings{   laniquintinokimpedeconinckvandewallepoedts05,
8620  author        = {Andrea Lani and Tiago Quintino and Dries Kimpe and Herman Deconinck and Stefan
8621                  Vandewalle and Stefaan Poedts},
8622  title         = {The COOLFluiD Framework: Design Solutions for High Performance Object Oriented
8623                  Scientific Computing Software},
8624  booktitle     = {Computational Science ICCS 2005: 5th International Conference},
8625  year          = {2005},
8626  note          = {Lecture Notes in Computer Science},
8627  volume        = {3514},
8628  publisher     = {Springer-Verlag GmbH},
8629  petsc_uses    = {KSP}
8630}
8631
8632@InProceedings{   dalcin-paz-storti,
8633  author        = {L. Dalcin and R. Paz and M. Storti},
8634  title         = {Desarrollo de Aplicaciones Paralelas en Python},
8635  booktitle     = {Proceedings of *XIV Congress on Numerical Methods and its Applications (ENIEF).
8636                  Bariloche, Argentina},
8637  year          = {2004},
8638  petsc_uses    = {KSP}
8639}
8640
8641@Article{         mpi-python,
8642  author        = {L. Dalcin and R. Paz and M. Storti},
8643  title         = {MPI for Python},
8644  journal       = {Journal of Parallel and Distributed Computing},
8645  year          = {2005},
8646  petsc_uses    = {KSP}
8647}
8648
8649@Unpublished{     hrv02a,
8650  title         = {{SLEPc}: Scalable Library for Eigenvalue Problem Computations},
8651  author        = {V. Hernandex and J. E. Roman and V. Vidal},
8652  note          = {Submited to VecPar 2002},
8653  year          = {2002},
8654  petsc_uses    = {KSP}
8655}
8656
8657@Article{         knyazev2007block,
8658  title         = {Block Locally Optimal Preconditioned Eigenvalue Xolvers {(BLOPEX)} in {Hypre} and
8659                  {PETSc}},
8660  author        = {Knyazev, A. V. and Argentati, M. E. and Lashuk, I. and Ovtchinnikov, E. E.},
8661  journal       = {SIAM Journal on Scientific Computing},
8662  volume        = {29},
8663  pages         = {2224-2239},
8664  doi           = {10.1137/060661624},
8665  year          = {2007},
8666  petsc_uses    = {KSP}
8667}
8668
8669@MastersThesis{   aarrestad-master,
8670  author        = {Asbjorn Hoiland Aarrestad},
8671  title         = {Time Dependent Solution of the Schrodinger Equation for Parallel Computers},
8672  school        = {University of Bergen},
8673  month         = aug,
8674  year          = {2003},
8675  url           = {http://www.parallab.uib.no/projects/molecul/matrix/},
8676  note          = {Implemented Runge-Kutta methods using PETSc},
8677  petsc_uses    = {KSP}
8678}
8679
8680@PhDThesis{       kaushik-phd,
8681  author        = {D. K. Kaushik},
8682  title         = {Performance Modeling and Prediction for the Scalable Solution of Partial
8683                  Differential Equations on Unstructured Grids},
8684  school        = {Old Dominion University},
8685  month         = dec,
8686  year          = {2002},
8687  url           = {http://www.mcs.anl.gov/\~{ }kaushik/Papers/thesis.ps},
8688  petsc_uses    = {KSP}
8689}
8690
8691@TechReport{      rb1,
8692  author        = {Rickard Bergstrom},
8693  title         = {Object Oriented Implementation of a General Finite Element Code},
8694  number        = {2002-13},
8695  institution   = {Chalmers Finite Element Center, Chalmers University of Technology},
8696  year          = {2002},
8697  url           = {http://www.phi.chalmers.se/pub/preprints/pdf/phiprint-2002-13.pdf},
8698  note          = {Discribes a finite element software package that uses PETSc for its solvers},
8699  petsc_uses    = {KSP}
8700}
8701
8702@InProceedings{   dbl1,
8703  author        = {Enzo A. Dari and Gustavo C. Buscaglia and Adrian J. Lew},
8704  title         = {A Parallel General Purpose Finite Element System},
8705  booktitle     = {IX SIAM Conference on Parallel Processing for Scientific Computing},
8706  publisher     = {SIAM},
8707  year          = {1999},
8708  url           = {http://cabmec1.cnea.gov.ar/papers/apgpfes.ps.gz},
8709  note          = {Describes software that uses PETSc for its parallel linear solves},
8710  petsc_uses    = {KSP}
8711}
8712
8713@Article{         p1,
8714  title         = {Parallel Components for PDEs and Optimization: Some Issues and Experiences},
8715  author        = {B. Norris and S. Balay and S. Benson and L. Freitag and P. Hovland and L. McInnes
8716                  and B. Smith},
8717  journal       = {Parallel Computing},
8718  year          = {2002},
8719  pages         = {1811--1831},
8720  volume        = {28 (12)},
8721  petsc_uses    = {KSP}
8722}
8723
8724@Article{         automatic-ad,
8725  author        = {Paul Hovland and Boyana Norris and Barry Smith},
8726  title         = {Making Automatic Differentiation Truly Automatic: Coupling {PETSc} with {ADIC}},
8727  year          = {2005},
8728  journal       = {Future Generation Computer Systems},
8729  volume        = {21},
8730  number        = {8},
8731  pages         = {1426--1438},
8732  petsc_uses    = {KSP}
8733}
8734
8735@TechReport{      remote-math,
8736  author        = {Elizabeth Dolan and Paul Hovland and Jorge Mor\'e and Boyana Norris and Barry
8737                  Smith},
8738  title         = {Remote Access to Mathematical Software},
8739  number        = {ANL/MCS-P889-0601},
8740  institution   = {Mathematics and Computer Science Division, Argonne National Laboratory},
8741  month         = jun,
8742  year          = {2001},
8743  url           = {http://icm.mcs.kent.edu/research/iamc01proceedings.html},
8744  petsc_uses    = {KSP}
8745}
8746
8747@InProceedings{   gropp98,
8748  author        = {William D. Gropp},
8749  title         = {Exploiting Existing Software in Libraries: Successes, Failures, and Reasons Why},
8750  publisher     = {SIAM},
8751  booktitle     = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
8752                  Scientific and Engineering Computing},
8753  year          = {1999},
8754  pages         = {21-29},
8755  petsc_uses    = {KSP}
8756}
8757
8758@InProceedings{   knepleysarin99,
8759  author        = {Matthew Knepley and Vivek Sarin},
8760  title         = {Algorithm Development for Large Scale Computing},
8761  publisher     = {SIAM},
8762  booktitle     = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
8763                  Scientific and Engineering Computing},
8764  note          = {\url{http://books.google.com/books?id=2Da5OcnjPSgC&lpg=PA58&ots=TJCK64BUeg&dq=Bill%20Gropp%20Science%20Engineering%20Object%20Oriented&pg=PA138#v=onepage&q&f=false}},
8765  year          = {1999},
8766  petsc_uses    = {KSP}
8767}
8768
8769@InBook{          bgms00,
8770  author        = {S. Balay and W. D. Gropp and L. C. McInnes and B. F. Smith},
8771  chapter       = {Software for the Scalable Solution of {PDEs}},
8772  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P834.ps.Z},
8773  title         = {CRPC Handbook of Parallel Computing},
8774  editor        = {J. Dongarra and I. Foster and G. Fox and B. Gropp and K. Kennedy and L. Torczon
8775                  and A. White},
8776  publisher     = {Morgan Kaufmann Publishers},
8777  year          = {2002},
8778  petsc_uses    = {KSP}
8779}
8780
8781@InProceedings{   hovland_norris_smith98,
8782  author        = {Paul Hovland and Boyana Norris and Lucas Roh and Barry Smith},
8783  title         = {Developing a Derivative-Enhanced Object-Oriented Toolkit for Scientific
8784                  Computations},
8785  publisher     = {SIAM},
8786  booktitle     = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
8787                  Scientific and Engineering Computing},
8788  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P731.ps.Z},
8789  note          = {also available as Argonne preprint ANL/MCS-P731-1098},
8790  year          = {1999},
8791  pages         = {129-137},
8792  petsc_uses    = {KSP}
8793}
8794
8795@InProceedings{   efficient,
8796  author        = {Satish Balay and William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
8797  title         = {Efficient Management of Parallelism in Object Oriented Numerical Software
8798                  Libraries},
8799  booktitle     = {Modern Software Tools in Scientific Computing},
8800  editor        = {E. Arge and A. M. Bruaset and H. P. Langtangen},
8801  publisher     = {Birkhauser Press},
8802  pages         = {163--202},
8803  year          = {1997},
8804  petsc_uses    = {KSP}
8805}
8806
8807%  url       = "ftp://info.mcs.anl.gov/pub/tech_reports/reports/P634.ps.Z"
8808@TechReport{      petsc-user-ref,
8809  author        = {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Steven Benson and Jed
8810                  Brown and Peter Brune and Kris Buschelman and Emil Constantinescu and Lisandro
8811                  Dalcin and Alp Dener and Victor Eijkhout and Jacob Faibussowitsch and William~D.
8812                  Gropp and V\'{a}clav Hapla and Tobin Isaac and Pierre Jolivet and Dmitry Karpeev
8813                  and Dinesh Kaushik and Matthew~G. Knepley and Fande Kong and Scott Kruger and
8814                  Dave~A. May and Lois Curfman McInnes and Richard Tran Mills and Lawrence Mitchell
8815                  and Todd Munson and Jose~E. Roman and Karl Rupp and Patrick Sanan and Jason Sarich
8816                  and Barry~F. Smith and Stefano Zampini and Hong Zhang and Hong Zhang and Junchao
8817                  Zhang},
8818  title         = {{PETSc/TAO} Users Manual},
8819  institution   = {Argonne National Laboratory},
8820  number        = {ANL-21/39 - Revision 3.20},
8821  doi           = {10.2172/2205494},
8822  year          = {2023}
8823}
8824
8825%  url    = {https://petsc.org/release}
8826@TechReport{      petsc-developers,
8827  author        = {Scott Kruger and Patrick Sanan and Barry~F. Smith},
8828  title         = {{PETS}c Developers Guide},
8829  institution   = {Argonne National Laboratory},
8830  number        = {ANL-18/18},
8831  year          = {2018},
8832  url           = {https://petsc.org/release/developers},
8833  petsc_uses    = {KSP}
8834}
8835
8836@Unpublished{     alice-memory-snooper,
8837  author        = {Ibrahima Ba and Barry~F. Smith},
8838  title         = {The {ALICE} Memory Snooper},
8839  year          = {1999},
8840  petsc_uses    = {KSP}
8841}
8842
8843@TechReport{      petsc-user-ref-polish,
8844  author        = {Marcin Bojko and Piotr Krzyzanowski},
8845  title         = {Rozwiazywanie ukladow rownan przy pomocy pakietu PETSc},
8846  institution   = {Instytut Matematyki, Stosowanej i Mechaniki, Uniwersytet Warszawski},
8847  year          = {1998},
8848  note          = {An introduction to PETSc in Polish},
8849  petsc_uses    = {KSP}
8850}
8851
8852@InProceedings{   abghmn00,
8853  title         = {Integrating Automatic Differentiation with Object-Oriented Toolkits for
8854                  High-Performance Scientific Computing},
8855  author        = {J. Abate and S. Benson and L. Grignon and P. Hovland and L. C. McInnes and B.
8856                  Norris},
8857  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P820.ps.Z},
8858  booktitle     = {Automatic Differentiation of Algorithms: From Simulation to Optimization},
8859  editor        = {George Corliss and Christ\`{e}le Faure and Andreas Griewank and Laurent
8860                  Hasco\"{e}t and Uwe Naumann},
8861  publisher     = {Springer},
8862  year          = {2002},
8863  petsc_uses    = {KSP}
8864}
8865
8866@Unpublished{     petsc-mpi-paper,
8867  author        = {Lois Curfman McInnes and Barry F. Smith},
8868  title         = {{PETS}c 2.0: A Case Study of Using {MPI} to Develop Numerical Software
8869                  Libraries},
8870  note          = {Proceedings of the MPI Developers Conference, Notre Dame, IN},
8871  month         = jun,
8872  year          = {1995},
8873  petsc_uses    = {KSP}
8874}
8875
8876@InProceedings{   miss-paper,
8877  author        = {William D. Gropp and Barry F. Smith},
8878  title         = {Scalable, Extensible, and Portable Numerical Libraries},
8879  publisher     = {IEEE},
8880  year          = {1994},
8881  booktitle     = {Proceedings of the Scalable Parallel Libraries Conference},
8882  address       = {Mississippi State University},
8883  pages         = {87--93},
8884  keyword       = {numerical libraries, scientific computing, parallel computing},
8885  petsc_uses    = {KSP}
8886}
8887
8888@InProceedings{   snes-paper,
8889  author        = {William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
8890  title         = {Scalable Libraries for Solving Systems of Nonlinear Equations and Unconstrained
8891                  Minimization Problems},
8892  publisher     = {IEEE},
8893  year          = {1995},
8894  booktitle     = {Proceedings of the Scalable Parallel Libraries Conference},
8895  address       = {Mississippi State University},
8896  pages         = {60-67},
8897  keyword       = {nonlinear equations, optimization, superconductivity, parallel computing},
8898  petsc_uses    = {KSP}
8899}
8900
8901@Article{         dsneutral,
8902  author        = {Barry F. Smith and William D. Gropp},
8903  title         = {The Design of Data-structure-neutral Libraries for the Iterative Solution of
8904                  Sparse Linear Systems},
8905  journal       = {Scientific Programming},
8906  volume        = {5},
8907  pages         = {329--336},
8908  key           = {GroppSmith96 ! KSP design},
8909  year          = {1996},
8910  petsc_uses    = {KSP}
8911}
8912
8913@InProceedings{   bgms98,
8914  author        = {Satish Balay and William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
8915  title         = {A Microkernel Design for Component-based Parallel Numerical Software Systems},
8916  booktitle     = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
8917                  Scientific and Engineering Computing},
8918  publisher     = {SIAM},
8919  pages         = {58-67},
8920  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P727.ps.Z},
8921  year          = {1998},
8922  petsc_uses    = {KSP}
8923}
8924
8925@Article{         hkm98,
8926  author        = {M. E. Hayder and D. E. Keyes and P. Mehrotra},
8927  title         = {A Comparison of the {PETSc} Library and {HPF} Implementations of an Archetypal
8928                  {PDE} Computation},
8929  journal       = {Advances in Engineering Software},
8930  volume        = {29},
8931  pages         = {415-424},
8932  year          = {1998},
8933  petsc_uses    = {KSP}
8934}
8935
8936@TechReport{      pdpta99,
8937  author        = {L. A. Freitag and W. D. Gropp and P. D. Hovland and L. C. McInnes and B. F.
8938                  Smith},
8939  title         = {Infrastructure and Interfaces for Large-Scale Numerical Software},
8940  note          = {to appear in the Proceedings of the 1999 International Conference on Parallel and
8941                  Distributed Processing Techniques and Applications, June 28 - July 1, 1999, Las
8942                  Vegas, Nevada},
8943  institution   = {Mathematics and Computer Science Division, Argonne National Laboratory},
8944  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P751.ps.Z},
8945  number        = {ANL/MCS-P751-0599},
8946  year          = {1999},
8947  petsc_uses    = {KSP}
8948}
8949
8950@InProceedings{   bbh:com,
8951  author        = {C. H. Bischof and H. M. B{\"u}cker and P. D. Hovland},
8952  title         = {{On Combining Computational Differentiation and Toolkits for Parallel Scientific
8953                  Computing}},
8954  booktitle     = {Euro-Par 2000 -- Parallel Processing, Proceedings of the 6th International
8955                  Euro-Par Conference, Munich, Germany, August/September 2000},
8956  year          = {2000},
8957  editor        = {A. Bode and T. Ludwig and W. Karl and R. Wism{\"u}ller},
8958  volume        = {1900},
8959  series        = {Lecture Notes in Computer Science},
8960  pages         = {86--94},
8961  address       = {Berlin},
8962  publisher     = {Springer},
8963  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P797.ps.Z},
8964  petsc_uses    = {KSP}
8965}
8966
8967@InProceedings{   overture00,
8968  author        = {K. R. Buschelman and W. D. Gropp and L. C. McInnes and B. F. Smith},
8969  title         = { {PETSc and Overture}: Lessons Learned Developing an Interface between
8970                  Components},
8971  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P858.ps.Z},
8972  booktitle     = {Proceedings of the International Federation for Information Processing Working
8973                  Conference on Software Architectures for Scientific Computing, Kluwer},
8974  year          = {2000},
8975  pages         = {57--68},
8976  petsc_uses    = {KSP}
8977}
8978
8979@TechReport{      smith97,
8980  title         = {An Interface for Efficient Vector Scatters and Gathers on Parallel Machines},
8981  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P701.ps.Z},
8982  number        = {ANL/MCS-P701},
8983  author        = {Barry F. Smith},
8984  institution   = {Mathematics and Computer Science Division, Argonne National Laboratory},
8985  petsc_uses    = {KSP}
8986}
8987
8988@Article{         smith98,
8989  author        = {Barry Smith},
8990  title         = {The Transition of Numerical Software: From Nuts-and-Bolts to Abstraction},
8991  journal       = {SIGNUM Newsletter},
8992  year          = {1998},
8993  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P712.ps.Z},
8994  petsc_uses    = {KSP}
8995}
8996
8997@TechReport{      ad-petsc-tm,
8998  title         = {Using {ADIFOR} and {ADIC} to Provide a {J}acobian for the {SNES} Component of
8999                  {PETSc}},
9000  author        = {Christian Bischof and Paul Hovland and Po-Ting Wu},
9001  year          = {1997},
9002  type          = {Technical Memorandum},
9003  institution   = {ANL},
9004  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/TM233.ps.Z},
9005  number        = {ANL/MCS-TM-233},
9006  petsc_uses    = {KSP}
9007}
9008
9009% LiteralHTML:
9010% LiteralHTML:  <a name="algorithm"><H3><center>Algorithm design and analysis</center></H3>
9011% LiteralHTML:
9012@PhDThesis{       klotzthesis2019,
9013  author        = {Thomas S. Klotz},
9014  title         = {Numerical Analysis of Nonlinear Boundary Integral Equations Arising in Molecular
9015                  Biology},
9016  school        = {Rice University},
9017  year          = {2019},
9018  petsc_uses    = {KSP}
9019}
9020
9021@Article{         klotzbardhanknepley2018,
9022  title         = {Efficient Evaluation of Ellipsoidal Harmonics for Potential Modeling},
9023  author        = {Thomas S. Klotz and Jaydeep Bardhan and Matthew G. Knepley},
9024  journal       = {arXiv e-prints},
9025  eprint        = {1708.06028},
9026  archiveprefix = {arXiv},
9027  primaryclass  = {math.na},
9028  year          = {2018},
9029  note          = {\url{http://arxiv.org/abs/1708.06028}},
9030  petsc_uses    = {KSP}
9031}
9032
9033@Misc{            brown2016,
9034  title         = {Threading Tradeoffs in Domain Decomposition},
9035  author        = {Jed Brown},
9036  note          = {SIAM Parallel Processing Conference, To Thread or Not To Thread Minisymposium,
9037                  \url{https://www.cse.buffalo.edu/~knepley/presentations/SIAMPP2016_1.pdf}},
9038  url           = {https://www.cse.buffalo.edu/~knepley/presentations/SIAMPP2016_1.pdf},
9039  year          = {2016},
9040  petsc_uses    = {KSP}
9041}
9042
9043@Article{         changnakshatralaknepleyjohnsson2017,
9044  title         = {A performance spectrum for parallel computational frameworks that solve {PDEs}},
9045  author        = {Justin Chang and Kalyana B. Nakshatrala and Matthew G. Knepley and Lennart
9046                  Johnsson},
9047  journal       = {Concurency: Practice and Experience},
9048  volume        = {30},
9049  number        = {11},
9050  eprint        = {1705.03625},
9051  doi           = {10.1002/cpe.4401},
9052  year          = {2017},
9053  petsc_uses    = {KSP}
9054}
9055
9056@Article{         changfabienknepleymills2018,
9057  title         = {Comparative study of finite element methods using the Time-Accuracy-Size {(TAS)}
9058                  spectrum analysis},
9059  author        = {Justin Chang and Maurice S. Fabien and Matthew G. Knepley and Richard T. Mills},
9060  journal       = {SIAM Journal on Scientific Computing},
9061  volume        = {40},
9062  number        = {6},
9063  pages         = {C779--C802},
9064  eprint        = {1802.07832},
9065  doi           = {10.1137/18M1172260},
9066  year          = {2018},
9067  petsc_uses    = {KSP}
9068}
9069
9070@Article{         joshaghanichangnakshatralaknepley2019,
9071  title         = {Composable solvers for the four-field double porosity/permeability model},
9072  author        = {M. S. Joshaghani and Justin Chang and Kalyana B. Nakshatrala and Matthew G.
9073                  Knepley},
9074  journal       = {Journal of Computational Physics},
9075  volume        = {386},
9076  pages         = {428--466},
9077  doi           = {10.1016/j.jcp.2019.02.020},
9078  year          = {2019},
9079  petsc_uses    = {KSP}
9080}
9081
9082@InProceedings{   barralknepleylangepiggottgorman2016,
9083  title         = {Anisotropic mesh adaptation in {Firedrake} with {PETSc} {DMPlex}},
9084  author        = {Nicolas Barral and Matthew G. Knepley and Michael Lange and Matthew D. Piggott
9085                  and Gerard J. Gorman},
9086  booktitle     = {25th International Meshing Roundtable},
9087  editor        = {Steve Owen and Hang Si},
9088  month         = sep,
9089  address       = {Washington, DC},
9090  pages         = {1--5},
9091  url           = {http://imr.sandia.gov/papers/imr25/2026_imr25RN_Barral.pdf},
9092  year          = {2016},
9093  petsc_uses    = {KSP}
9094}
9095
9096@Article{         adamsbrownknepleysamtaney2016,
9097  title         = {Segmental Refinement: A Multigrid Technique for Data Locality},
9098  author        = {Mark F. Adams and Jed Brown and Matthew G. Knepley and Ravi Samtaney},
9099  journal       = {SIAM Journal on Scientific Computing},
9100  url           = {http://epubs.siam.org/toc/sjoce3/38/4 },
9101  epub          = {http://arxiv.org/abs/1406.7808},
9102  volume        = {8},
9103  number        = {4},
9104  pages         = {C426--C440},
9105  doi           = {10.1137/140975127},
9106  year          = {2016},
9107  petsc_uses    = {KSP}
9108}
9109
9110@InProceedings{   maysananruppknepleysmith2016,
9111  title         = {Extreme-Scale Multigrid Components within {PETSc}},
9112  author        = {Dave A. May and Patrick Sanan and Karl Rupp and Matthew G. Knepley and Barry F.
9113                  Smith},
9114  booktitle     = {Proceedings of the {Platform for Advanced Scientific Computing Conference}},
9115  series        = {PASC '16},
9116  isbn          = {978-1-4503-4126-4},
9117  location      = {Lausanne, Switzerland},
9118  pages         = {5:1--5:12},
9119  articleno     = {5},
9120  numpages      = {12},
9121  doi           = {10.1145/2929908.2929913},
9122  acmid         = {2929913},
9123  publisher     = {ACM},
9124  address       = {New York, NY, USA},
9125  keywords      = {GPU, HPC, agglomeration, coarse-level solver, multigrid, parallel computing,
9126                  preconditioning},
9127  year          = {2016},
9128  petsc_uses    = {KSP}
9129}
9130
9131@Article{         liu2015field,
9132  title         = {Field-Split Preconditioned Inexact Newton Algorithms},
9133  author        = {Lulu Liu and David E Keyes},
9134  journal       = {SIAM Journal on Scientific Computing},
9135  volume        = {37},
9136  number        = {3},
9137  pages         = {A1388--A1409},
9138  year          = {2015},
9139  publisher     = {SIAM},
9140  petsc_uses    = {KSP}
9141}
9142
9143@Article{         lujiaomissirlis2014,
9144  title         = {A hybrid geometric+ algebraic multigrid method with semi-iterative smoothers},
9145  author        = {Cao Lu and Xiangmin Jiao and Nikolaos Missirlis},
9146  journal       = {Numerical Linear Algebra with Applications},
9147  volume        = {21},
9148  number        = {2},
9149  pages         = {221--238},
9150  year          = {2014},
9151  publisher     = {Wiley Online Library},
9152  petsc_uses    = {KSP}
9153}
9154
9155@Article{         badiamartinprincipe2013,
9156  title         = {Enhanced balancing Neumann-Neumann preconditioning in computational fluid and
9157                  solid mechanics},
9158  author        = {Santiago Badia and Alberto F. Mart\'in and Javier Principe},
9159  journal       = {International Journal for Numerical Methods in Engineering},
9160  volume        = {96},
9161  number        = {4},
9162  pages         = {203--230},
9163  year          = {2013},
9164  petsc_uses    = {KSP}
9165}
9166
9167@Article{         morganknepleysananscott2016,
9168  title         = {A Stochastic Performance Model for Pipelined {Krylov} Methods},
9169  author        = {Hannah Morgan and Matthew G. Knepley and Patrick Sanan and L. Ridgway Scott},
9170  journal       = {Concurrency and Computation: Practice and Experience},
9171  volume        = {28},
9172  pages         = {4532--4542},
9173  year          = {2016},
9174  url           = {http://arxiv.org/abs/1602.04873},
9175  doi           = {10.1002/cpe.3820},
9176  petsc_uses    = {KSP}
9177}
9178
9179@Article{         morgansananknepleymills2020,
9180  title         = {Understanding performance variability in standard and pipelined parallel {Krylov}
9181                  solvers},
9182  author        = {Hannah Morgan and Patrick Sanan and Matthew G. Knepley and Richard Tran Mills},
9183  journal       = {The International Journal of High Performance Computing Applications},
9184  volume        = {35},
9185  issue         = {1},
9186  doi           = {10.1177/1094342020966835},
9187  url           = {https://doi.org/10.1177/1094342020966835},
9188  eprint        = {https://doi.org/10.1177/1094342020966835},
9189  year          = {2020},
9190  petsc_uses    = {KSP}
9191}
9192
9193@Article{         msz2013,
9194  title         = {Efficient Sparse Matrix-Matrix Products Using Colorings},
9195  author        = {M. McCourt and B. F. Smith and H. Zhang},
9196  journal       = {SIAM Journal on Matrix Analysis and Applications},
9197  year          = {2015},
9198  note          = {To appear},
9199  petsc_uses    = {KSP}
9200}
9201
9202@Article{         bassi2014agglomeration,
9203  title         = {Agglomeration-based physical frame d{G} discretizations: {A}n attempt to be mesh
9204                  free},
9205  author        = {Bassi, Francesco and Botti, Lorenzo and Colombo, Alessandro},
9206  journal       = {Mathematical Models and Methods in Applied Sciences},
9207  volume        = {24},
9208  number        = {08},
9209  pages         = {1495--1539},
9210  year          = {2014},
9211  publisher     = {World Scientific},
9212  petsc_uses    = {KSP}
9213}
9214
9215@Article{         jhuranidemkowicz12,
9216  author        = {{Jhurani}, C. and {Demkowicz}, L.},
9217  title         = {{Multiscale modeling using goal-oriented adaptivity and numerical homogenization.
9218                  Part II: Algorithms for the Moore-Penrose pseudoinverse}},
9219  journal       = {Computer Methods in Applied Mechanics and Engineering},
9220  volume        = {213},
9221  pages         = {418-426},
9222  year          = {2012},
9223  month         = mar,
9224  doi           = {10.1016/j.cma.2011.06.003},
9225  adsurl        = {http://adsabs.harvard.edu/abs/2012CMAME.213..418J},
9226  petsc_uses    = {KSP}
9227}
9228
9229@Article{         yangcai11,
9230  author        = {Yang, Haijian and Cai, Xiao-Chuan},
9231  title         = {Parallel Two-Grid Semismooth {N}ewton--{K}rylov--{S}chwarz Method for Nonlinear
9232                  Complementarity Problems},
9233  journal       = {J. Sci. Comput.},
9234  issue_date    = {May 2011},
9235  volume        = {47},
9236  number        = {2},
9237  month         = may,
9238  pages         = {258--280},
9239  year          = {2011},
9240  issn          = {0885-7474},
9241  numpages      = {23},
9242  doi           = {10.1007/s10915-010-9436-4},
9243  acmid         = {1971246},
9244  publisher     = {Plenum Press},
9245  address       = {New York, NY, USA},
9246  keywords      = {Complementarity problem, Grid sequencing, Parallel computing, Schwarz
9247                  preconditioners, Semismooth Newton, Two-level methods},
9248  petsc_uses    = {KSP}
9249}
9250
9251@Article{         rheinbach09,
9252  author        = {Rheinbach, Oliver},
9253  title         = {Parallel Iterative Substructuring in Structural Mechanics},
9254  journal       = {Archives of Computational Methods in Engineering},
9255  volume        = {16},
9256  number        = {4},
9257  pages         = {425-463},
9258  year          = {2009},
9259  issn          = {1134-3060},
9260  doi           = {10.1007/s11831-009-9035-4},
9261  publisher     = {Springer Netherlands},
9262  language      = {English},
9263  petsc_uses    = {KSP}
9264}
9265
9266@Article{         knepleyterrel2013,
9267  author        = {Matthew G. Knepley and Andy R. Terrel},
9268  title         = {Finite Element Integration on {GPUs}},
9269  journal       = {{ACM} Transactions on Mathematical Software},
9270  volume        = {39},
9271  number        = {2},
9272  accepted      = {17 April 2012},
9273  year          = {2013},
9274  abstract      = {We present a novel finite element integration method for low order elements on
9275                  GPUs. We achieve more than 100GF for element integration on first order
9276                  discretizations of both the Laplacian and Elasticity operators on an NVIDIA
9277                  GTX285, which has a nominal single precision peak flop rate of 1 TF/s and
9278                  bandwidth of 159 GB/s, corresponding to a bandwidth limited peak of 40 GF/s.},
9279  url           = {http://arxiv.org/abs/1103.0066},
9280  note          = {no. 10, \url{http://arxiv.org/abs/1103.0066}},
9281  petsc_uses    = {KSP}
9282}
9283
9284@Article{         knepleyruppterrel2016,
9285  title         = {Finite Element Integration with Quadrature on the GPU},
9286  journal       = {ArXiv e-prints},
9287  author        = {Matthew G. Knepley and Karl Rupp and Andy R. Terrel},
9288  version       = {1},
9289  date          = {2016-07-14},
9290  eprinttype    = {arxiv},
9291  eprintclass   = {cs.MS},
9292  eprint        = {1607.04245v1},
9293  petsc_uses    = {KSP}
9294}
9295
9296@Article{         klawonnlanserrheinbach2014,
9297  title         = {Nonlinear {FETI-DP} and {BDDC} Methods},
9298  author        = {Axel Klawonn and Martin Lanser and Oliver Rheinbach},
9299  journal       = {SIAM Journal on Scientific Computing},
9300  volume        = {36},
9301  number        = {2},
9302  pages         = {A737--A765},
9303  year          = {2014},
9304  petsc_uses    = {KSP}
9305}
9306
9307@Article{         bruneknepleysmithtu15,
9308  title         = {Composing Scalable Nonlinear Algebraic Solvers},
9309  author        = {Peter R. Brune and Matthew G. Knepley and Barry F. Smith and Xuemin Tu},
9310  journal       = {SIAM Review},
9311  volume        = {57},
9312  number        = {4},
9313  pages         = {535--565},
9314  note          = {\url{http://www.mcs.anl.gov/papers/P2010-0112.pdf}},
9315  url           = {http://www.mcs.anl.gov/papers/P2010-0112.pdf},
9316  doi           = {10.1137/130936725},
9317  year          = {2015},
9318  petsc_uses    = {KSP}
9319}
9320
9321@Article{         mszm2014,
9322  title         = {Hierarchical {Krylov} and nested {Krylov} methods for extreme-scale computing},
9323  author        = {Lois Curfman McInnes and Barry Smith and Hong Zhang and Richard Tran Mills},
9324  volume        = {40},
9325  pages         = {17--31},
9326  year          = {2014},
9327  journal       = {Parallel Computing},
9328  doi           = {10.1016/j.parco.2013.10.001},
9329  petsc_uses    = {KSP}
9330}
9331
9332@TechReport{      mszm2012,
9333  title         = {Hierarchical {Krylov} and Nested {Krylov} Methods for Extreme-Scale Computing},
9334  author        = {Lois Curfman McInnes and Barry Smith and Hong Zhang and Richard Tran Mills},
9335  year          = {2012},
9336  number        = {ANL/MCS-P2097-0512},
9337  institution   = {Argonne National Laboratory},
9338  petsc_uses    = {KSP}
9339}
9340
9341@InProceedings{   bkmms2012,
9342  author        = {Jed Brown and Matthew G. Knepley and David A. May and Lois C. McInnes and Barry
9343                  F. Smith},
9344  title         = {Composable linear solvers for multiphysics},
9345  booktitle     = {Proceeedings of the 11th {International Symposium on Parallel and Distributed
9346                  Computing} ({ISPDC} 2012)},
9347  year          = {2012},
9348  doi           = {10.1109/ISPDC.2012.16},
9349  publisher     = {IEEE Computer Society},
9350  pages         = {55--62},
9351  petsc_uses    = {KSP}
9352}
9353
9354@Article{         bourdinbucuroudet2009,
9355  author        = {Blaise Bourdin and D. Bucur and E. Oudet},
9356  title         = {Optimal Partitions for Eigenvalues},
9357  journal       = {SIAM J. Sci. Comput.},
9358  volume        = {31},
9359  number        = {6},
9360  pages         = {4100--4114},
9361  year          = {2009},
9362  petsc_uses    = {KSP}
9363}
9364
9365@InBook{          kimnbourdin2007,
9366  author        = {J.-H. Kimn and Blaise Bourdin},
9367  title         = {Numerical implementation of overlapping balancing domain decomposition methods on
9368                  unstructured meshes},
9369  editor        = {O. B. Widlund and D. E. Keyes},
9370  booktitle     = {Domain Decomposition Methods in Science and Engineering XVI},
9371  series        = {Lecture Notes in Computational Science and Engineering},
9372  number        = {55},
9373  publisher     = {Springer-Verlag},
9374  pages         = {309--315},
9375  url           = {http://www.cims.nyu.edu/dd16/proceedings/kimn_bourdin_mini_6.pdf},
9376  year          = {2007},
9377  petsc_uses    = {KSP}
9378}
9379
9380@Article{         bjm2005,
9381  author        = {AH Baker and ER Jessup and T Manteuffel},
9382  title         = {A Technique for Accelerating the Convergence of Restarted GMRES},
9383  journal       = {SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS},
9384  year          = {2005},
9385  petsc_uses    = {KSP}
9386}
9387
9388@Unpublished{     sundar-2008a,
9389  author        = {R.S. Sampath and G. Biros},
9390  title         = {A parallel geometric multigrid method for finite elements on octree meshes},
9391  url           = {http://www.seas.upenn.edu/\~{ }rahulss},
9392  petsc_uses    = {KSP}
9393}
9394
9395@Article{         sundar-2008,
9396  author        = {H. Sundar and R.S. Sampath and G. Biros},
9397  title         = {Bottom-up construction and 2:1 balance refinement of linear octrees in parallel},
9398  journal       = {SIAM Journal on Scientific Computing},
9399  year          = {2008},
9400  url           = {http://www.seas.upenn.edu/\~{ }rahulss},
9401  petsc_uses    = {KSP}
9402}
9403
9404@InProceedings{   sundar-2007,
9405  author        = {H. Sundar and R.S. Sampath and S.S. Adavani and C. Davatzikos and G. Biros},
9406  title         = {Low-constant parallel algorithms for finite element simulations using linear
9407                  octrees},
9408  booktitle     = {SC'07: ACM/IEEE Conference on Supercomputing},
9409  year          = {2007},
9410  url           = {http://www.seas.upenn.edu/\~{ }rahulss},
9411  petsc_uses    = {KSP}
9412}
9413
9414@InProceedings{   adams-98a,
9415  author        = {Adams, Mark ~F.},
9416  title         = {A Parallel Maximal Independent Set Algorithm},
9417  booktitle     = {Proceedings 5th copper mountain conference on iterative methods},
9418  year          = {1998},
9419  petsc_uses    = {KSP}
9420}
9421
9422@Article{         akcelik2005ddd,
9423  title         = {{Dynamic data-driven inversion for terascale simulations: real-time
9424                  identification of airborne contaminants}},
9425  author        = {Ak\c{c}elik, V. and Biros, G. and Draganescu, A. and Hill, J. and Ghattas, O. and
9426                  van Bloemen Waanders, B.},
9427  journal       = {Proceedings of the 2005 ACM/IEEE conference on Supercomputing},
9428  year          = {2005},
9429  publisher     = {IEEE Computer Society Washington, DC, USA},
9430  petsc_uses    = {KSP}
9431}
9432
9433@InBook{          akcelik-2006,
9434  author        = {V. Akcelik and G. Biros and Omar Ghattas and J. Hill and David Keyes and B. van
9435                  Bloemen Waanders},
9436  bookeditor    = {M. Heroux and P. Raghaven and H. Simon},
9437  title         = {Frontiers of Parallel Computing},
9438  chapter       = {Parallel algorithms for {PDE}-constrained optimization},
9439  publisher     = {SIAM},
9440  year          = {2006},
9441  petsc_uses    = {KSP}
9442}
9443
9444@Article{         dt,
9445  author        = {Matthew F. Dixon and C. J. Kenneth Tan},
9446  title         = {Using Distributed Computers to Deterministically Approximate Higher Dimensional
9447                  Convection Diffusion Equations},
9448  journal       = {The Journal of Supercomputing},
9449  year          = {2004},
9450  pages         = {235--253},
9451  volume        = {28},
9452  url           = {http://www.springerlink.com/(nekina45nmdgrib5izizn3ip)/app/home/contribution.asp?referrer=parent&backto=issue,8,8;journal,20,73;linkingpublicationresults,1:100302,1},
9453  petsc_uses    = {KSP}
9454}
9455
9456@PhDThesis{       hwang2004,
9457  author        = {Feng-Nan Hwang},
9458  title         = {Some Parallel Linear and Nonlinear {Schwarz} Methods with Applications in
9459                  Computational Fluid Dynamics},
9460  school        = {University of Colorado at Boulder},
9461  year          = {2004},
9462  petsc_uses    = {KSP}
9463}
9464
9465@PhDThesis{       baker,
9466  author        = {{A. H.} Baker},
9467  title         = {On improving the performance of the linear solver restarted {GMRES}},
9468  school        = {University of Colorado at Boulder},
9469  year          = {2003},
9470  petsc_uses    = {KSP}
9471}
9472
9473@TechReport{      klawonnrheinbach601,
9474  author        = {Axel Klawonn and Oliver Rheinbach},
9475  title         = {A Parallel Implementation of Dual-Primal {FETI-DP} Methods for Three Dimensional
9476                  Linear Elasticity Using a Transformation of Basis},
9477  institution   = {Universit\"at Duisburg-Essen},
9478  year          = {2005},
9479  type          = {Technical Report},
9480  number        = {SM-E-601},
9481  petsc_uses    = {KSP}
9482}
9483
9484@TechReport{      klawonnrheinbach609,
9485  author        = {Axel Klawonn and Oliver Rheinbach},
9486  title         = {Inexact FETI-DP Methods},
9487  institution   = {Universit\"at Duisburg-Essen},
9488  year          = {2005},
9489  type          = {Technical Report},
9490  number        = {SM-E-609},
9491  petsc_uses    = {KSP}
9492}
9493
9494@TechReport{      klawonnrheinbach607,
9495  author        = {Axel Klawonn and Oliver Rheinbach},
9496  title         = {Robust FETI-DP Methods for Heterogeneous Three Dimensional Elasticity Problems},
9497  institution   = {Universit\"at Duisburg-Essen},
9498  year          = {2005},
9499  type          = {Technical Report},
9500  number        = {SM-E-607},
9501  petsc_uses    = {KSP}
9502}
9503
9504@Article{         kul-natraj-pbp,
9505  author        = {Kshitij Kulshreshtha and Neela Nataraj and Michael Jung},
9506  title         = {Performance of a parallel mixed finite element implementation for fourth order
9507                  clamped anisotropic plate bending problems in distributed memory environments},
9508  journal       = {Applied Mathematics and Computation},
9509  volume        = {155},
9510  year          = {2004},
9511  number        = {3},
9512  pages         = {753--777},
9513  petsc_uses    = {KSP}
9514}
9515
9516@Article{         bramkamp2006uej,
9517  author        = {F. D. Bramkamp and H. M. B{\"u}cker and A. Rasch},
9518  title         = {Using Exact {J}acobians in an Implicit {N}ewton-{K}rylov Method},
9519  journal       = {Computers \& Fluids},
9520  volume        = {35},
9521  number        = {10},
9522  pages         = {1063--1073},
9523  doi           = {10.1016/j.compfluid.2005.10.003},
9524  abstract      = {In an implicit Newton-Krylov method for inviscid, compressible fluid flow, the
9525                  derivation of the analytic flux Jacobian can become quite complicated depending on
9526                  the complexity of the numerical flux calculation. Practically, the derivation of
9527                  the exact Jacobian by hand is an unrealistic option because of the enormous
9528                  man-hour investment needed. In this work, automatic differentiation is used to
9529                  evaluate the exact Jacobian of upwind schemes implemented in the flow solver
9530                  QUADFLOW. We compare the use of exact Jacobians and Jacobians numerically
9531                  approximated by first-order forward differences. For a two-dimensional airfoil
9532                  under three different flight conditions (quasi-incompressible flow, compressible
9533                  subsonic flow, and transonic flow), we show that the robustness and performance of
9534                  the present finite volume scheme is significantly improved by using exact
9535                  Jacobians.},
9536  year          = {2006},
9537  petsc_uses    = {KSP}
9538}
9539
9540@Article{         shahbazi1,
9541  author        = {Khosro Shahbazi},
9542  title         = {An explicit expression for the penalty parameter of the interior penalty method},
9543  journal       = {Journal of Computational Physics},
9544  volume        = {205},
9545  year          = {2005},
9546  pages         = {401--407},
9547  petsc_uses    = {KSP}
9548}
9549
9550@TechReport{      kk,
9551  title         = {A Parallel Lanczos Algorithm for Eigensystem Calculation},
9552  author        = {Hans-Peter Kersken and Uwe Kuster},
9553  year          = {1999},
9554  institution   = {University of Stuttgart},
9555  url           = {http://elib.uni-stuttgart.de/opus/volltexte/1999/310/pdf/310.pdf},
9556  number        = {310},
9557  petsc_uses    = {KSP}
9558}
9559
9560@Article{         miha-mija,
9561  author        = {M. D. Mihajlovi and S. Mijalkovi},
9562  title         = {A component decomposition preconditioning for 3D stress analysis problems},
9563  journal       = {Numerical Linear Algebra with Applications},
9564  volume        = {9},
9565  year          = {2002},
9566  pages         = {567--583},
9567  url           = {http://www3.interscience.wiley.com/cgi-bin/abstract/98516459/ABSTRACT},
9568  petsc_uses    = {KSP}
9569}
9570
9571@Article{         bjm,
9572  author        = {M Benzi and W Joubert and G Mateescu},
9573  journal       = {Electronic Transactions on Numerical Analysis},
9574  year          = {1999},
9575  volume        = {8},
9576  pages         = {88--114},
9577  title         = {Numerical experiments with parallel orderings for {ILU} preconditioners},
9578  url           = {http://scholar.google.com/url?sa=U&q=http://emis.bibl.cwi.nl/journals/ETNA/vol.8.1999/pp88-114.dir/pp88-114.ps},
9579  petsc_uses    = {KSP}
9580}
9581
9582@PhDThesis{       hyde,
9583  author        = {EMK Hyde},
9584  title         = {Fast, High-Order Methods for Scattering by Inhomogeneous Media},
9585  school        = {Caltech},
9586  year          = {2003},
9587  url           = {http://www.acm.caltech.edu/\~{ }bruno/02hyde_thesis_print.pdf},
9588  petsc_uses    = {KSP}
9589}
9590
9591@Article{         km2003,
9592  author        = {A. Keese and H. G. Matthies},
9593  journal       = {Proceedings in Applied Mathematics and Mechanics},
9594  year          = {2003},
9595  volume        = {2},
9596  pages         = {485--486},
9597  title         = {Parallel Solution of Stochastic PDEs},
9598  url           = {http://www3.interscience.wiley.com/cgi-bin/abstract/104087421/ABSTRACT},
9599  petsc_uses    = {KSP}
9600}
9601
9602@Article{         whszss,
9603  author        = {Joachim Weickert and Josef Heers and Christoph Schnorr and Karel J. Zuiderveld
9604                  and Otmar Scherzer and H. Siegfried Stiehl},
9605  journal       = {Real Time Imaging},
9606  year          = {2001},
9607  volume        = {7},
9608  pages         = {31--45},
9609  title         = {Fast parallel algorithms for a broad class of nonlinear variational diffusion
9610                  approaches},
9611  url           = {http://www.mia.uni-saarland.de/weickert/Papers/TR_5_99.ps.gz},
9612  petsc_uses    = {KSP}
9613}
9614
9615@TechReport{      baker1,
9616  title         = {An Efficient Block Variant of GMRES},
9617  author        = {A. H. Baker and J. M. Dennis and E. R. Jessup},
9618  year          = {2003},
9619  type          = {Technical Report},
9620  institution   = {University of Colorado, Boulder},
9621  url           = {http://www.scd.ucar.edu/css/staff/dennis/papers/block.pdf},
9622  number        = {CU-CS-957-03},
9623  petsc_uses    = {KSP}
9624}
9625
9626@InProceedings{   mc2003,
9627  author        = {Leszek Marcinkowski and Xiao-Chuan Cai},
9628  title         = {Parallel Performance of Some Two-Level {ASPIN} Algorithms},
9629  booktitle     = {Proceedings of the 15th International Conference on Domain Decomposition
9630                  Methods},
9631  pages         = {639--646},
9632  publisher     = {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
9633  note          = {},
9634  url           = {http://www.ddm.org/DD15/proceedings-dd15.html},
9635  year          = {2003},
9636  petsc_uses    = {KSP}
9637}
9638
9639@InProceedings{   kt2003,
9640  author        = {Deepak V. Kulkarni and Daniel A. Tortorelli},
9641  title         = {A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems},
9642  booktitle     = {Proceedings of the 15th International Conference on Domain Decomposition
9643                  Methods},
9644  pages         = {615--622},
9645  publisher     = {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
9646  note          = {},
9647  url           = {http://www.ddm.org/DD15/proceedings-dd15.html},
9648  year          = {2003},
9649  petsc_uses    = {KSP}
9650}
9651
9652@InProceedings{   krw2003,
9653  author        = {Axel Klawonn and Oliver Rheinbach and Olof B. Widlund},
9654  title         = {Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in
9655                  3D},
9656  booktitle     = {Proceedings of the 15th International Conference on Domain Decomposition
9657                  Methods},
9658  pages         = {361--368},
9659  publisher     = {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
9660  note          = {},
9661  url           = {http://www.ddm.org/DD15/proceedings-dd15.html},
9662  year          = {2003},
9663  petsc_uses    = {KSP}
9664}
9665
9666@InProceedings{   hc2003,
9667  author        = {Feng-Nan Hwang and Xiao-Chuan Cai},
9668  title         = {Improving Robustness and Parallel Scalability of {Newton's} Method Through
9669                  Nonlinear Preconditioning},
9670  booktitle     = {Proceedings of the 15th International Conference on Domain Decomposition
9671                  Methods},
9672  pages         = {201--208},
9673  publisher     = {Springer, Lecture Notes in Computational Science and Engineering (LNCSE).},
9674  note          = {},
9675  url           = {http://www.ddm.org/DD15/proceedings-dd15.html},
9676  year          = {2003},
9677  petsc_uses    = {KSP}
9678}
9679
9680@InProceedings{   g2003,
9681  author        = {P. Goldfeld},
9682  title         = {Balancing {Neumann-Neumann} for (In)Compressible Linear Elasticity and
9683                  (Generalized) {Stokes} and Parallel Implementation},
9684  booktitle     = {Proceedings of the 14th International Conference on Domain Decomposition
9685                  Methods},
9686  pages         = {209--216},
9687  editor        = {I. Herrera and D. Keyes and O. Widlund and R. Yates},
9688  publisher     = {National Autonomous University of Mexico (UNAM)},
9689  note          = {},
9690  url           = {http://www.ddm.org/DD14},
9691  year          = {2003},
9692  petsc_uses    = {KSP}
9693}
9694
9695@InProceedings{   dhv2003,
9696  author        = {Zdenek Dostal and David Horak and Oldrich Vlach},
9697  title         = {Toward scalable {FETI} algorithm for variational inequalities with applications to
9698                  composites},
9699  booktitle     = {Proceedings of the 14th International Conference on Domain Decomposition
9700                  Methods},
9701  pages         = {395--401},
9702  editor        = {I. Herrera and D. Keyes and O. Widlund and R. Yates},
9703  publisher     = {National Autonomous University of Mexico (UNAM)},
9704  note          = {},
9705  url           = {http://www.ddm.org/DD14},
9706  year          = {2003},
9707  petsc_uses    = {KSP}
9708}
9709
9710@InProceedings{   dhsv2002,
9711  author        = {Zdenek Dostal and David Horak and Jan Szweda and Vit Vondrak},
9712  title         = {Scalabilities of {FETI} for variational inequalities and contact shape
9713                  optimization},
9714  booktitle     = {Proceedings of the 13th International Conference on Domain Decomposition
9715                  Methods},
9716  pages         = {359--367},
9717  editor        = {N. Debit and M.Garbey and R. Hoppe and J. Periaux and D. Keyes and Y. Kuznetsov},
9718  publisher     = {CIMNE, Barcelona, Spain},
9719  note          = {},
9720  url           = {http://www.ddm.org/DD13},
9721  year          = {2002},
9722  petsc_uses    = {KSP}
9723}
9724
9725@InProceedings{   cky2002,
9726  author        = {Xiao-Chuan Cai and David E. Keyes and David P. Young},
9727  title         = {A Nonlinear Additive {S}chwarz Preconditioned Inexact {N}ewton Method for Shocked
9728                  Duct Flows},
9729  booktitle     = {Proceedings of the 13th International Conference on Domain Decomposition
9730                  Methods},
9731  pages         = {343--350},
9732  editor        = {N. Debit and M.Garbey and R. Hoppe and J. Periaux and D. Keyes and Y. Kuznetsov},
9733  publisher     = {CIMNE, Barcelona, Spain},
9734  note          = {},
9735  url           = {http://www.ddm.org/DD13},
9736  year          = {2002},
9737  petsc_uses    = {KSP}
9738}
9739
9740@Conference{      li-etal:03,
9741  author        = {Li, Z. and Lanteri S. and Saad, Y.},
9742  title         = {Multiplicative-additive preconditioning combination for general sparse linear
9743                  systems},
9744  booktitle     = {2003 International Conference on Preconditioning Techniques for Large Sparse
9745                  Matrix Problems in Scientific and Industrial Applications},
9746  address       = {Napa, California, USA},
9747  date          = {october 27-29},
9748  year          = {2003},
9749  petsc_uses    = {KSP}
9750}
9751
9752@Article{         bashir2008hessian,
9753  title         = {Hessian-based model reduction for large-scale systems with initial-condition
9754                  inputs},
9755  author        = {Bashir, O. and Willcox, K. and Ghattas, O. and van Bloemen Waanders, B. and Hill,
9756                  J.},
9757  journal       = {International journal for numerical methods in engineering},
9758  volume        = {73},
9759  number        = {6},
9760  pages         = {844--868},
9761  year          = {2008},
9762  publisher     = {Wiley Online Library},
9763  petsc_uses    = {KSP}
9764}
9765
9766@Article{         bashir2007hessian,
9767  title         = {Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems},
9768  author        = {Bashir, O. and Ghattas, O. and Hill, J. and van Bloemen Waanders, B. and Willcox,
9769                  K.},
9770  journal       = {Computational Science--ICCS 2007},
9771  pages         = {1010--1017},
9772  year          = {2007},
9773  publisher     = {Springer},
9774  petsc_uses    = {KSP}
9775}
9776
9777@Article{         akcelik2011fast,
9778  title         = {Fast algorithms for {B}ayesian uncertainty quantification in large-scale linear
9779                  inverse problems based on low-rank partial {H}essian approximations},
9780  author        = {Ak\c{c}elik, V. and Flath, H.P. and Ghattas, O. and Hill, J. and van Bloemen
9781                  Waanders, B. and Wilcox, L.},
9782  journal       = {SIAM Journal on Scientific Computing},
9783  volume        = {33},
9784  number        = {1},
9785  year          = {2011},
9786  petsc_uses    = {KSP}
9787}
9788
9789@InProceedings{   ff2003,
9790  author        = {Abul K. M. Fahimuddin and Heike Fassbender},
9791  title         = {Model Reduction for Large Scale Applications in Microsystem Technology},
9792  booktitle     = {Proceedings of the 2004 SIAM Parallel Processing Conference},
9793  year          = {2003},
9794  petsc_uses    = {KSP}
9795}
9796
9797@InProceedings{   d2b2004,
9798  author        = {Masoud Darbandi and Gerry E. Schneider and Seyed Mehi Bostandoost},
9799  title         = {Parallel Computation of a Fully Implicit Finite Volume Method Using Different
9800                  Ordering Strategies},
9801  booktitle     = {Proceedings of AIAA Conference, Reno, Nevada},
9802  year          = {2004},
9803  petsc_uses    = {KSP}
9804}
9805
9806@InProceedings{   d2v2005,
9807  author        = {Masoud Darbandi and Gerry E. Schneider and Soheyl Vakili},
9808  title         = {A Comparative Study of Preconditioned Methods for Solving Fully Coupled Fluid
9809                  Flow Equations},
9810  booktitle     = {The 13th Annual Conference on Computational Fluid Dynamics},
9811  year          = {2005},
9812  petsc_uses    = {KSP}
9813}
9814
9815@InProceedings{   dvs2006,
9816  author        = {Masoud Darbandi and Soheyl Vakili and Gerry E. Schneider},
9817  title         = {The Employment of Algebraic Multigrid as a Preconditioner to Solve Fully Implicit
9818                  Mixed Convection Equations},
9819  booktitle     = { The 44th AIAA Aerospace Sciences Meeting and Exhibit},
9820  year          = {2006},
9821  petsc_uses    = {KSP}
9822}
9823
9824@Article{         dsv2006,
9825  author        = {Masoud Darbandi and Gerry E. Schneider and Soheyl Vakili},
9826  title         = {Using Different Preconditioned Krylov Subspace Methods to Solve Coupled Fluid
9827                  Flow Equations},
9828  journal       = {Computational Fluid Dynamics},
9829  year          = {2006},
9830  volume        = {15},
9831  number        = {1},
9832  petsc_uses    = {KSP}
9833}
9834
9835@Article{         lahaye03,
9836  author        = {Lahaye, D. and Vandewalle, S. and Hameyer, K.},
9837  title         = {An Algebraic Multilevel Preconditioner for Field-Circuit Coupled Problems},
9838  journal       = {J. Comput. Appl. Math.},
9839  year          = {2004},
9840  pages         = {267--275},
9841  volume        = {168},
9842  petsc_uses    = {KSP}
9843}
9844
9845@TechReport{      brmn,
9846  title         = {Faster {PDE}-based Simulations Using Robust Composite Linear Solvers},
9847  author        = {S. Bhowmick and P. Raghavan and L. McInnes and B. Norris},
9848  year          = {2002},
9849  type          = {Technical Report},
9850  institution   = {ANL},
9851  number        = {ANL/MCS-P993-0902},
9852  note          = {To appear in Future Generation Computer Systems},
9853  petsc_uses    = {KSP}
9854}
9855
9856@InProceedings{   mnbr,
9857  author        = {L. McInnes and B. Norris and S. Bhowmick and P. Raghavan},
9858  title         = {Adaptive Sparse Linear Solvers for Implicit {CFD} Using {Newton-Krylov}
9859                  Algorithms},
9860  booktitle     = {Proceedings of the Second MIT Conference on Computational Fluid and Solid
9861                  Mechanics},
9862  year          = {2003},
9863  petsc_uses    = {KSP}
9864}
9865
9866@InProceedings{   bmnr,
9867  author        = {S. Bhowmick and L. McInnes and B. Norris and P. Raghavan},
9868  title         = {The Role of Multi-Method Linear Solvers in {PDE}-based Simulations},
9869  booktitle     = {Proceedings of the 2003 International Conference on Computational Science and its
9870                  Applications, Lecture notes in Computer Science 2677},
9871  editor        = {V. Kumar and M. L. Gavrilova and C. J. K. Tan and P. L'Ecuyer},
9872  pages         = {828--839},
9873  year          = {2003},
9874  petsc_uses    = {KSP}
9875}
9876
9877@Article{         ph03,
9878  author        = {M. Pernice and R. D. Hornung},
9879  title         = {Newton-Krylov-FAC Methods for Problems Discretized on Locally Refined Grids},
9880  journal       = {Computing and Visualization in Science},
9881  year          = {2003},
9882  lab           = {LANL},
9883  petsc_uses    = {KSP}
9884}
9885
9886@Article{         adams-02,
9887  author        = {Adams, M.~F. and Brezina, M. and Hu, J. J. and Tuminaro, R. S},
9888  journal       = {J. Comp. Phys.},
9889  number        = {2},
9890  pages         = {593-610},
9891  title         = {Parallel multigrid smoothing: polynomial versus {G}auss--{S}eidel},
9892  volume        = {188},
9893  year          = {2003},
9894  petsc_uses    = {KSP}
9895}
9896
9897@InProceedings{   adams2001distributed,
9898  title         = {A distributed memory unstructured {G}auss-{S}eidel algorithm for multigrid
9899                  smoothers},
9900  author        = {Adams, M.F.},
9901  booktitle     = {Supercomputing, ACM/IEEE 2001 Conference},
9902  pages         = {14--14},
9903  year          = {2001},
9904  organization  = {IEEE},
9905  petsc_uses    = {KSP}
9906}
9907
9908@PhDThesis{       els01,
9909  author        = {Ulrich Elsner},
9910  title         = {Static and Dynamic Graph Partitioning. A comparative study of existing
9911                  algorithms},
9912  school        = {Technical University Chemnitz},
9913  year          = {2002},
9914  publisher     = {Logos Verlag, Berlin},
9915  isbn          = {3-89722-923-4},
9916  annote        = {Uses PETSc's high quality parallel algorithms to provide a framework to compare
9917                  different graph partitioning algorithms},
9918  petsc_uses    = {KSP}
9919}
9920
9921@TechReport{      ckk02,
9922  title         = {Pseudo-Transient Continuation and Differential-Algebraic Equations},
9923  author        = {Todd S. Coffey and C. T. Kelley and David E. Keyes},
9924  year          = {2002},
9925  type          = {Technical Report},
9926  institution   = {ODU},
9927  url           = {http://www.math.odu.edu/\~{ }keyes},
9928  note          = {Submitted to the special issue of the SIAM Journal of Scientific Computing
9929                  dedicated to papers from the 2002 Copper Mountain Conference on Iterative
9930                  Methods},
9931  petsc_uses    = {KSP}
9932}
9933
9934@Article{         gpw2002,
9935  title         = {Balancing Neumann-Neumann Preconditioners for Mixed Approximations of
9936                  Heterogeneous Problems in Linear Elasticity},
9937  author        = {Paulo Goldfeld and Luca F. Pavarino and Olof B. Widlund},
9938  year          = {2003},
9939  pages         = {283--324},
9940  volume        = {95},
9941  url           = {http://www.cs.nyu.edu/csweb/Research/TechReports/TR2002-825/TR2002-825.pdf},
9942  journal       = {Numerische Mathematik},
9943  petsc_uses    = {KSP}
9944}
9945
9946@Article{         dh1,
9947  title         = {Scalability and FETI based algorithm for large discretized variational
9948                  inequalities},
9949  author        = {Z Dostal and D Horak},
9950  year          = {2003},
9951  pages         = {347--357},
9952  volume        = {61},
9953  url           = {http://portal.acm.org/citation.cfm?id=770222.770239},
9954  journal       = {Mathematics and Computers in Simulation},
9955  petsc_uses    = {KSP}
9956}
9957
9958@InProceedings{   dhsv1,
9959  author        = {Zdenek Dostal and David Horak and Jan Szweda and Vit Vondrak},
9960  url           = {http://cdcsp.univ-lyon1.fr/\~{ }dd13/DD13proc/Dostal.pdf},
9961  title         = {36 Scalabilities of {FETI} for Variational Inequalities and Contact Shape
9962                  Optimization},
9963  booktitle     = {Proceedings of the 13th International Conference on Domain Decomposition
9964                  Methods},
9965  editor        = { N. Debit and M. Garbey and R. Hoppe and J. Periaus and D. Keyes and Y.
9966                  Kuznetsov},
9967  petsc_uses    = {KSP}
9968}
9969
9970@Article{         lahaye02,
9971  author        = {Domenico Lahaye and S. Vandewalle and K. Hameyer},
9972  title         = {An Algebraic Multilevel Preconditioner for Field-Circuit Coupled Problems},
9973  journal       = {IEEEMAGN},
9974  year          = {2002},
9975  volume        = {38},
9976  number        = {2},
9977  pages         = {413-416},
9978  petsc_uses    = {KSP}
9979}
9980
9981@Article{         ckm01,
9982  author        = {X.-C. Cai and D. E. Keyes and L. Marcinkowski},
9983  url           = {http://www.cs.colorado.edu/homes/cai/public_html/papers/10page.ps},
9984  title         = {Nonlinear additive {Schwarz} preconditioners and applications in computational
9985                  fluid dynamics},
9986  journal       = {International Journal of Numerical Methods in Fluid Mechanics},
9987  year          = {2002},
9988  volume        = {40},
9989  pages         = {1463--1470},
9990  petsc_uses    = {KSP}
9991}
9992
9993@InProceedings{   cky01,
9994  author        = {X.-C. Cai and D. E. Keyes and D. P. Young},
9995  url           = {http://www.cs.colorado.edu/homes/cai/public_html/papers/dd13_1d.ps},
9996  title         = {A nonlinear additive {Schwarz} preconditioned inexact {Newton} method for shocked
9997                  duct flow},
9998  booktitle     = {Proceedings of the 13th International Conference on Domain Decomposition
9999                  Methods},
10000  editor        = { N. Debit and M. Garbey and R. Hoppe and J. Periaus and D. Keyes and Y.
10001                  Kuznetsov},
10002  year          = {2002},
10003  petsc_uses    = {KSP}
10004}
10005
10006@Article{         ck02,
10007  author        = {X.-C. Cai and D. E. Keyes},
10008  url           = {http://www.cs.colorado.edu/homes/cai/public_html/papers/aspin.ps},
10009  title         = {Nonlinearly preconditioned inexact {Newton} algorithms},
10010  journal       = {SIAM J. Sci. Comput.},
10011  year          = {2002},
10012  pages         = {183--200},
10013  volume        = {24},
10014  petsc_uses    = {KSP}
10015}
10016
10017@Article{         c04,
10018  author        = {Feng-Nan Hwang and X.-C. Cai},
10019  url           = {http://amath.colorado.edu/student/hwangf/papers/one-level-aspin.pdf},
10020  title         = {A parallel nonlinear additive {Schwarz} preconditioned inexact {Newton} algorithm
10021                  for incompressible {Navier-Stokes} equations},
10022  journal       = {Journal of Computational Physics},
10023  year          = {2005},
10024  volume        = {204},
10025  pages         = {666--691},
10026  petsc_uses    = {KSP}
10027}
10028
10029@Article{         hc06,
10030  author        = {Feng-Nan Hwang and X.-C. Cai},
10031  url           = {http://www.cs.colorado.edu/\~{ }cai/papers/aspin2_06.pdf},
10032  title         = {A Class of Parallel Two-Level Nonlinear {Schwarz} Preconditioned Inexact {Newton}
10033                  Algorithms},
10034  journal       = {Computer Methods in Applied Mechanics and Engineering},
10035  year          = {2006},
10036  volume        = {196},
10037  pages         = {1603--1611},
10038  petsc_uses    = {KSP}
10039}
10040
10041@InProceedings{   adams-01,
10042  author        = {Mark F. Adams},
10043  title         = {A Distributed Memory Unstructured {G}auss-{S}eidel Algorithm for Multigrid
10044                  Smoothers},
10045  booktitle     = {ACM/IEEE Proceedings of SC2001: High Performance Networking and Computing},
10046  address       = {Denver, Colorado},
10047  month         = nov,
10048  year          = {2001},
10049  petsc_uses    = {KSP}
10050}
10051
10052@Book{            1dl,
10053  author        = {Domenico Lahaye},
10054  title         = {Algebraic Multigrid for Two Dimensional Time-Harmonic Magnetic Field
10055                  Computations},
10056  year          = {2001},
10057  publisher     = {Katholieke Universiteit Leuven},
10058  notes         = {Thesis},
10059  petsc_uses    = {KSP}
10060}
10061
10062@Article{         adams-00,
10063  author        = {Adams, M.~F.},
10064  journal       = {International Journal for Numerical Methods in Engineering},
10065  number        = {8},
10066  pages         = {1241-1262},
10067  title         = {Parallel Multigrid Solvers for 3{D} Unstructured Finite Element Problems in Large
10068                  Deformation Elasticity and Plasticity},
10069  volume        = {48},
10070  year          = {2000},
10071  petsc_uses    = {KSP}
10072}
10073
10074@Article{         adams2002evaluation,
10075  author        = {Adams, M.~F.},
10076  journal       = {International Journal for Numerical Methods in Engineering},
10077  number        = {1},
10078  pages         = {519-534},
10079  title         = {Evaluation of Three Unstructured Multigrid Methods on 3{D} Finite Element
10080                  Problems in Solid Mechanics},
10081  volume        = {55},
10082  year          = {2002},
10083  petsc_uses    = {KSP}
10084}
10085
10086@Article{         lahaye00,
10087  author        = {Domenico Lahaye and De Gersem, H. and Vandewalle, S. and Hameyer, K.},
10088  title         = {Algebraic Multigrid for Complex Symmetric Systems},
10089  journal       = {IEEEMAGN},
10090  year          = {2000},
10091  volume        = {36},
10092  number        = {4},
10093  pages         = {1535--1538},
10094  petsc_uses    = {KSP}
10095}
10096
10097@InProceedings{   adams-99c,
10098  author        = {Mark F. Adams and J. Demmel},
10099  title         = {Parallel Multigrid Solver Algorithms and Implementations for 3{D} Unstructured
10100                  Finite Element Problems},
10101  booktitle     = {Proceedings of SC99: High Performance Networking and Computing},
10102  address       = {Portland, Oregon},
10103  month         = nov,
10104  year          = {1999},
10105  petsc_uses    = {KSP}
10106}
10107
10108@Article{         chan95,
10109  author        = {T. Chan and B. Smith and J. Zou},
10110  title         = {Overlapping {S}chwarz Methods on Unstructured Meshes using Non-matching Coarse
10111                  Grids},
10112  journal       = {Numer. Math.},
10113  year          = {1995},
10114  volume        = {73},
10115  pages         = {149--167},
10116  petsc_uses    = {KSP}
10117}
10118
10119@TechReport{      adams-csd-98-993,
10120  pages         = {11},
10121  year          = {1998},
10122  type          = {Technical Report},
10123  number        = {CSD-98-993},
10124  institution   = {University of California, Berkeley},
10125  title         = {A Parallel Maximal Independent Set Algorithm},
10126  bibdate       = {March 11, 1998},
10127  author        = {Mark F. Adams and James Demmel},
10128  abstract      = {The parallel construction of maximal independent sets is a useful building block
10129                  for many algorithms in the computational sciences, including graph coloring and
10130                  multigrid coarse grid creation on unstructured meshes. We present an efficient
10131                  asynchronous maximal independent set algorithm for use on parallel computers, for
10132                  ``well partitioned'' graphs, that arise from finite element (FE) models. For
10133                  appropriately partitioned bounded degree graphs, it is shown that the running time
10134                  of our algorithm under the P-RAM computational model is of $O(1)$, which is an
10135                  improvement over the previous best P-RAM complexity for this class of graphs. We
10136                  present numerical experiments on an IBM SP, that confirm our P-RAM complexity
10137                  model is indicative of the performance one can expect with practical partitions on
10138                  graphs from FE problems.},
10139  month         = mar,
10140  petsc_uses    = {KSP}
10141}
10142
10143@Article{         benzigolubliesen2005,
10144  title         = {Numerical solution of saddle point problems},
10145  author        = {Michele Benzi and Gene H. Golub and J\"org Liesen},
10146  volume        = {14},
10147  journal       = {Acta Numerica},
10148  pages         = {1-–137},
10149  doi           = {10.1017/S0962492904000212},
10150  year          = {2005}
10151}
10152
10153@Article{         mardal2011preconditioning,
10154  title         = {Preconditioning discretizations of systems of partial differential equations},
10155  author        = {Kent-Andre Mardal and Ragnar Winther},
10156  journal       = {Numerical Linear Algebra with Applications},
10157  volume        = {18},
10158  number        = {1},
10159  pages         = {1--40},
10160  year          = {2011}
10161}
10162
10163@TechReport{      k676,
10164  year          = {1994},
10165  type          = {Technical Report},
10166  number        = {TR1994-676},
10167  institution   = {New York University},
10168  title         = {An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty
10169                  Term},
10170  author        = {Axel Klawonn},
10171  url           = {http://www.cs.nyu.edu/csweb/Research/TechReports/TR1994-676/TR1994-676.pdf},
10172  petsc_uses    = {KSP}
10173}
10174
10175@Book{            ak1,
10176  author        = {Axel Klawonn},
10177  title         = {Preconditioners for Indefinite Problems},
10178  year          = {1995},
10179  publisher     = {Westfalishen Wilhelms-Universitat Munster},
10180  url           = {http://www.cs.nyu.edu/csweb/Research/TechReports/TR1996-716/TR1996-716.pdf},
10181  notes         = {Thesis},
10182  petsc_uses    = {KSP}
10183}
10184
10185@TechReport{      knepleykarpeev05,
10186  pages         = {41},
10187  year          = {2005},
10188  type          = {Technical Report},
10189  number        = {ANL/MCS-P1295-1005},
10190  institution   = {Argonne National Laboratory},
10191  title         = {Flexible Representation of Computational Meshes},
10192  author        = {Matthew G. Knepley and Dmitry A. Karpeev},
10193  abstract      = {},
10194  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1295.pdf},
10195  note          = {\url{ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1295.pdf}},
10196  month         = oct,
10197  petsc_uses    = {DMPlex}
10198}
10199
10200@TechReport{      knepleykarpeev07a,
10201  pages         = {14},
10202  year          = {2007},
10203  type          = {Technical Report},
10204  number        = {ANL/MCS-P1455-0907},
10205  institution   = {Argonne National Laboratory},
10206  title         = {Mesh Algorithms for {PDE} with {Sieve} {I}: {Mesh} Distribution},
10207  author        = {Matthew G. Knepley and Dmitry A. Karpeev},
10208  abstract      = {},
10209  url           = {ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1455.pdf},
10210  note          = {\url{ftp://info.mcs.anl.gov/pub/tech_reports/reports/P1455.pdf}},
10211  month         = feb,
10212  petsc_uses    = {DMPlex}
10213}
10214
10215@Article{         knepleykarpeev09,
10216  author        = {Matthew G. Knepley and Dmitry A. Karpeev},
10217  title         = {Mesh Algorithms for {PDE} with {Sieve} {I}: {Mesh} Distribution},
10218  journal       = {Scientific Programming},
10219  volume        = {17},
10220  number        = {3},
10221  pages         = {215--230},
10222  year          = {2009},
10223  doi           = {10.3233/SPR-2009-0249},
10224  url           = {http://arxiv.org/abs/0908.4427},
10225  note          = {\url{http://arxiv.org/abs/0908.4427}},
10226  petsc_uses    = {DMPlex}
10227}
10228
10229@Article{         biezuner2012computing,
10230  author        = {Biezuner, Rodney and Brown, Jed and Ercole, Grey and Martins, Eder},
10231  affiliation   = {Departamento de Matem\'atica—ICEx, Universidade Federal de Minas Gerais, Av.
10232                  Ant\^onio Carlos 6627, Caixa Postal 702, 30161-970 Belo Horizonte, MG, Brazil},
10233  title         = {Computing the First Eigenpair of the $p$-{L}aplacian via Inverse Iteration of
10234                  Sublinear Supersolutions},
10235  journal       = {Journal of Scientific Computing},
10236  publisher     = {Springer Netherlands},
10237  issn          = {0885-7474},
10238  keyword       = {Mathematics and Statistics},
10239  pages         = {180--201},
10240  volume        = {52},
10241  issue         = {1},
10242  year          = {2012},
10243  doi           = {10.1007/s10915-011-9540-0},
10244  petsc_uses    = {KSP}
10245}
10246
10247% LiteralHTML:
10248% LiteralHTML:  <a name="books"><H3><center>Books</center></H3>
10249% LiteralHTML:
10250@Book{            knepley2017,
10251  title         = {Computational Science I},
10252  author        = {Matthew G. Knepley},
10253  url           = {https://www.cse.buffalo.edu/~knepley/classes/caam519/CSBook.pdf},
10254  note          = {\url{https://www.cse.buffalo.edu/~knepley/classes/caam519/CSBook.pdf}},
10255  publisher     = {PETSc},
10256  year          = {2017},
10257  petsc_uses    = {KSP}
10258}
10259
10260@Article{         verleyeuser,
10261  title         = {{User friendly permeability predicting software for technical textiles}},
10262  author        = {Verleye, B. and Morren, G. and Lomov, S.V. and Sol, H. and Verpoest, I. and
10263                  Roose, D.},
10264  journal       = {status: published},
10265  issn          = {1560-6074},
10266  publisher     = {Hong Kong Polytechnic University, Hong Kong Institution of Textile and Apparel},
10267  petsc_uses    = {KSP}
10268}
10269
10270@Book{            pacheco,
10271  author        = {Peter Pacheco},
10272  title         = {Parallel Programming with MPI},
10273  year          = {1997},
10274  publisher     = {Morgan-Kaufmann},
10275  note          = {Devotes a couple of sections to PETSc},
10276  petsc_uses    = {KSP}
10277}
10278
10279@Book{            1sbg,
10280  author        = {Barry F. Smith and Petter Bj{\o}rstad and William D. Gropp},
10281  title         = {Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial
10282                  Differential Equations},
10283  year          = {1996},
10284  publisher     = {Cambridge University Press},
10285  url           = {http://www.mcs.anl.gov/~bsmith/ddbook.html},
10286  petsc_uses    = {KSP}
10287}
10288
10289@Misc{            petsc-fem:homepage,
10290  title         = {{PETSc-FEM}: A General Purpose, Parallel, Multi-physics {FEM} Program},
10291  author        = {M. Storti and N. Nigro and R. Paz and L. Dalcin and E. Lopez and L. Battaglia and
10292                  G. Rodriguez and G. Filippini},
10293  howpublished  = {\url{http://www.cimec.org.ar/twiki/bin/view/Cimec/PETScFEM}},
10294  petsc_uses    = {KSP}
10295}
10296
10297@Misc{            petsc4py-web-page,
10298  author        = {Lisandro Dalcin},
10299  title         = {{PETSc} for {Python} -- {Python} bindings for {PETSc} libraries},
10300  howpublished  = {\url{http://code.google.com/p/petsc4py/}},
10301  note          = {http://code.google.com/p/petsc4py/},
10302  petsc_uses    = {KSP}
10303}
10304
10305@Article{         libmeshpaper06,
10306  author        = {B.~S.~Kirk and J.~W.~Peterson and R.~H.~Stogner and G.~F.~Carey},
10307  title         = {{\texttt{libMesh}: A C++ Library for Parallel Adaptive Mesh Refinement/Coarsening
10308                  Simulations}},
10309  journal       = {Engineering with Computers},
10310  volume        = {22},
10311  number        = {3--4},
10312  pages         = {237--254},
10313  year          = {2006},
10314  doi           = {10.1007/s00366-006-0049-3},
10315  petsc_uses    = {KSP}
10316}
10317
10318@Misc{            sisiphus:homepage,
10319  title         = {{SISIPHUS}: Scalable Ice-Sheet Solvers and Infrastructure for Petascale,
10320                  High-Resolution, Unstructured Simulations},
10321  author        = {T. {Tautges et al.}},
10322  howpublished  = {\url{http://trac.mcs.anl.gov/projects/sisiphus/wiki}},
10323  petsc_uses    = {KSP}
10324}
10325
10326@Misc{            pflotran:homepage,
10327  title         = {{PFLOTRAN} project},
10328  author        = {Ben Andre and Gautam Bisht and Nathan Collier and Glenn Hammond and Satish Karra
10329                  and Jitendra Kumar and Peter Lichtner and Richard Mills},
10330  howpublished  = {\url{http://pflotran.org/}},
10331  petsc_uses    = {KSP}
10332}
10333
10334@Misc{            pism:homepage,
10335  title         = {{PISM}: A Parallel Ice Sheet Model},
10336  author        = {E. {Bueler et al.}},
10337  howpublished  = {\url{http://pism-docs.org}},
10338  petsc_uses    = {KSP}
10339}
10340
10341@Misc{            dohp:homepage,
10342  title         = {Dohp: Dual order $hp$-finite elements},
10343  author        = {J. Brown},
10344  howpublished  = {\url{http://dohp.org}},
10345  petsc_uses    = {KSP}
10346}
10347
10348@Article{         mccourtrognlienetal12,
10349  title         = {Improving parallel scalability for edge plasma transport simulations with neutral
10350                  gas species},
10351  author        = {M. McCourt and T. D. Rognlien and L. C. McInnes and H. Zhang},
10352  journal       = {Computational Science and Discovery},
10353  year          = {2012},
10354  volume        = {5},
10355  number        = {014012},
10356  doi           = {10.1088/1749-4699/5/1/014012},
10357  note          = {Focus on 22nd International Conference on Numerical Simulations of Plasmas (ICNSP
10358                  2011)},
10359  petsc_uses    = {KSP}
10360}
10361
10362@Misc{            petclaw-github,
10363  title         = {Pet{C}law Software},
10364  author        = {Kyle T. Mandli and David I. Ketcheson and Amal Alghamdi and Aron Ahmadia},
10365  year          = {2011},
10366  howpublished  = {\url{https://github.com/pyclaw/pyclaw}},
10367  petsc_uses    = {KSP}
10368}
10369
10370@Misc{            pyclaw-web-page,
10371  author        = {Kyle T. Mandli and David I. Ketcheson and others},
10372  title         = {{PyClaw} software},
10373  howpublished  = {\url{http://clawpack.github.io/doc/pyclaw/}},
10374  url           = {http://clawpack.github.io/doc/pyclaw/},
10375  year          = {2012},
10376  petsc_uses    = {KSP}
10377}
10378
10379@Article{         ketcheson2011highorder,
10380  title         = {High-order wave propagation algorithms for general hyperbolic systems},
10381  author        = {Ketcheson, David I. and Parsani, Matteo and LeVeque, Randall J.},
10382  year          = {2011},
10383  note          = {submitted},
10384  petsc_uses    = {KSP}
10385}
10386
10387@Article{         biros2005pln1,
10388  title         = {{Parallel {Lagrange-Newton-Krylov-Schur} methods for {PDE} constrained
10389                  optimization. Part I: The {Krylov-Schur} solver}},
10390  author        = {Biros, G. and Ghattas, O.},
10391  journal       = {SIAM Journal on Scientific Computing},
10392  volume        = {27},
10393  number        = {2},
10394  pages         = {687--713},
10395  year          = {2005},
10396  publisher     = {Society for Industrial and Applied Mathematics Philadelphia, PA, USA},
10397  petsc_uses    = {KSP}
10398}
10399
10400@Article{         biros2005pln2,
10401  title         = {Parallel {Lagrange-Newton-Krylov-Schur} methods for {PDE}-constrained
10402                  optimization. Part {II}: The {Lagrange Newton} solver, and its application to
10403                  optimal control of steady viscous flows},
10404  author        = {Biros, G. and Ghattas, O.},
10405  journal       = {SIAM Journal on Scientific Computing},
10406  volume        = {27},
10407  number        = {2},
10408  pages         = {714--739},
10409  year          = {2005},
10410  publisher     = {Society for Industrial and Applied Mathematics Philadelphia, PA, USA},
10411  petsc_uses    = {KSP}
10412}
10413
10414@Misc{            issm:homepage,
10415  title         = {{I}ce {S}heet {S}ystem {M}odel},
10416  author        = {Eric Larour and Mathieu Morlighem and Helene Seroussi},
10417  year          = {2010},
10418  note          = {\href{http://issm.jpl.nasa.gov}{\url{issm.jpl.nasa.gov}}},
10419  petsc_uses    = {KSP}
10420}
10421
10422@Article{         morlighem2010spatial,
10423  title         = {Spatial patterns of basal drag inferred using control methods from a
10424                  full-{S}tokes and simpler models for {P}ine {I}sland {G}lacier, {W}est
10425                  {A}ntarctica},
10426  author        = {Morlighem, M. and Rignot, E. and Seroussi, H. and Larour, E. and Dhia, H.B. and
10427                  Aubry, D.},
10428  journal       = {Geophysical Research Letters},
10429  volume        = {37},
10430  number        = {14},
10431  pages         = {L14502},
10432  year          = {2010},
10433  publisher     = {American Geophysical Union},
10434  petsc_uses    = {KSP}
10435}
10436
10437@Article{         jardin2012plasmas,
10438  title         = {Multiple timescale calculations of sawteeth and other global macroscopic dynamics
10439                  of tokamak plasmas},
10440  author        = {S. C. Jardin and N. Ferraro and J. Breslau and J. Chen},
10441  journal       = {Computational Science \& Discovery},
10442  volume        = {5},
10443  number        = {1},
10444  url           = {http://stacks.iop.org/1749-4699/5/014002},
10445  year          = {2012},
10446  petsc_uses    = {KSP}
10447}
10448
10449@Article{         cmz2016,
10450  title         = {Analysis and Practical Use of Flexible {BiCGStab}},
10451  author        = {Jie Chen and Lois Curfman McInnes and Hong Zhang},
10452  journal       = {Journal of Scientific Computing},
10453  publisher     = {Springer},
10454  pages         = {803--825},
10455  volume        = {68},
10456  issue         = {2},
10457  url           = {http://link.springer.com/article/10.1007/s10915-015-0159-4},
10458  doi           = {10.1007/s10915-015-0159-4},
10459  year          = {2016},
10460  note          = {Also preprint ANL/MCS-P3039-0912},
10461  petsc_uses    = {KSP}
10462}
10463
10464@Article{         knepleybrownruppsmith13,
10465  author        = {{Knepley}, M.~G. and {Brown}, J. and {Rupp}, K. and {Smith}, B.~F.},
10466  title         = {Achieving High Performance with Unified Residual Evaluation},
10467  journal       = {ArXiv e-prints},
10468  eprint        = {1309.1204},
10469  archiveprefix = {arXiv},
10470  primaryclass  = {cs.MS},
10471  keywords      = {Computer Science - Mathematical Software, Computer Science - Computational
10472                  Engineering, Finance, and Science},
10473  year          = {2013},
10474  month         = sep,
10475  adsurl        = {http://adsabs.harvard.edu/abs/2013arXiv1309.1204K},
10476  adsnote       = {Provided by the SAO/NASA Astrophysics Data System},
10477  petsc_uses    = {KSP}
10478}
10479
10480@Book{            fenicsbook,
10481  title         = {Automated Solution of Differential Equations by the Finite Element Method: The
10482                  FEniCS Book},
10483  series        = {Lecture Notes in Computational Science and Engineering},
10484  volume        = {84},
10485  editor        = {Anders Logg, Kent-Andre Mardal, Garth Wells},
10486  publisher     = {Springer},
10487  isbn          = {978-3-642-23098-1},
10488  year          = {2012},
10489  petsc_uses    = {KSP}
10490}
10491
10492@Article{         demidovahnertruppgottschling12,
10493  author        = {{Demidov}, D. and {Ahnert}, K. and {Rupp}, K. and {Gottschling}, P.},
10494  title         = {{Programming CUDA and OpenCL: A Case Study Using Modern C++ Libraries}},
10495  journal       = {ArXiv e-prints},
10496  archiveprefix = {arXiv},
10497  eprint        = {1212.6326},
10498  primaryclass  = {cs.MS},
10499  keywords      = {Computer Science - Mathematical Software, Computer Science - Distributed,
10500                  Parallel, and Cluster Computing, Physics - Computational Physics},
10501  year          = {2012},
10502  month         = dec,
10503  adsurl        = {http://adsabs.harvard.edu/abs/2012arXiv1212.6326D},
10504  adsnote       = {Provided by the SAO/NASA Astrophysics Data System},
10505  petsc_uses    = {KSP}
10506}
10507
10508@InProceedings{   viennacl,
10509  author        = {Rupp, K. and Rudolf, F. and Weinbub, J.},
10510  title         = {{ViennaCL - A High Level Linear Algebra Library for GPUs and Multi-Core CPUs}},
10511  booktitle     = {Intl.~Workshop on GPUs and Scientific Applications},
10512  year          = {2010},
10513  pages         = {51-56},
10514  petsc_uses    = {KSP}
10515}
10516
10517@Article{         knepleybrownmcinnessmithruppadams2015,
10518  title         = {Exascale Computing without Threads},
10519  author        = {Matthew G. Knepley and Jed Brown and Lois Curfman McInnes and Barry Smith and
10520                  Karl Rupp and Mark Adams},
10521  url           = {https://figshare.com/articles/Exascale_Computing_without_Threads-Barry_Smith_pdf/5824950},
10522  note          = {Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on
10523                  Scientific Software Architecture for Portability and Performance},
10524  doi           = {10.6084/m9.figshare.5824950.v1},
10525  year          = {2015},
10526  petsc_uses    = {KSP}
10527}
10528
10529@Article{         knepleybrownmcinnessmithruppadams2015b,
10530  title         = {Overview of the {PETSc} Library},
10531  author        = {Matthew G. Knepley and Jed Brown and Lois Curfman McInnes and Barry Smith and
10532                  Karl Rupp and Mark Adams},
10533  url           = {http://www.orau.gov/hpcor2015/whitepapers/Overview_of_the_PETSc_Library-Lois_McInnes.pdf},
10534  note          = {Whitepaper for the DOE High Performance Computing Operational Review (HPCOR) on
10535                  Scientific Software Architecture for Portability and Performance},
10536  year          = {2015},
10537  petsc_uses    = {KSP}
10538}
10539
10540@InCollection{    balaybrownknepleymcinnessmith2015,
10541  author        = {Satish Balay and Jed Brown and Matthew G. Knepley and Lois McInnes and Barry
10542                  Smith},
10543  title         = {Providing Mixed Language and Legacy Support within a Library},
10544  editor        = {J. Carver},
10545  booktitle     = {Software Engineering for Science},
10546  publisher     = {Taylor \& Francis},
10547  year          = {2015},
10548  petsc_uses    = {KSP}
10549}
10550
10551@Article{         ruppbalaybrownknepleymcinnessmith2015,
10552  title         = {On The Evolution Of User Support Topics in Computational Science and Engineering
10553                  Software},
10554  author        = {Karl Rupp and Satish Balay and Jed Brown and Matthew G. Knepley and Lois Curfman
10555                  McInnes and Barry F. Smith},
10556  note          = {Whitepaper for Computational Science \& Engineering Software Sustainability and
10557                  Productivity Challenges},
10558  journal       = {ArXiv e-prints},
10559  archiveprefix = {arXiv},
10560  eprint        = {1510.01122},
10561  year          = {2015},
10562  petsc_uses    = {KSP}
10563}
10564
10565@InProceedings{   knepley2013accurately,
10566  title         = {Accurately Citing Software and Algorithms Used in Publications},
10567  author        = {Knepley, Matthew G. and Brown, Jed and McInnes, Lois Curfman and Smith, Barry
10568                  F.},
10569  year          = {2013},
10570  booktitle     = {First Workshop on Sustainable Software for Science: Practice and Experiences
10571                  (WSSSPE), held at SC13},
10572  doi           = {10.6084/m9.figshare.785731},
10573  petsc_uses    = {KSP}
10574}
10575
10576@InProceedings{   milleretal2013,
10577  title         = {Package Management Practice Essential for Interoperability: Lessons Learned and
10578                  Strategies Developed for {FASTMath}},
10579  author        = {Mark C. Miller and Lori Diachin and Satish Balay and Lois Curfman McInnes and
10580                  Barry Smith},
10581  year          = {2013},
10582  booktitle     = {First Workshop on Sustainable Software for Science: Practice and Experiences
10583                  (WSSSPE), held at SC13},
10584  doi           = {10.6084/m9.figshare.789055},
10585  petsc_uses    = {KSP}
10586}
10587
10588@TechReport{      dudsonetal2012,
10589  title         = {Improved Nonlinear Solvers in {BOUT++}},
10590  author        = {Ben Dudson and Sean Farley and Lois Curfman McInnes},
10591  institution   = {Argonne National Laboratory},
10592  number        = {ANL/MCS-P3025-0812},
10593  year          = {2012},
10594  petsc_uses    = {KSP}
10595}
10596
10597@Misc{            brown13,
10598  author        = {J. Brown},
10599  title         = {Scalable Repository Workflows},
10600  note          = {whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale
10601                  Science, available via \url{http://www.orau.gov/swproductivity2014/papers.htm}},
10602  year          = {2013},
10603  petsc_uses    = {KSP}
10604}
10605
10606@Misc{            starforest11,
10607  title         = {Star forests as a parallel communication model},
10608  author        = {Jed Brown},
10609  url           = {https://jedbrown.org/files/StarForest.pdf},
10610  year          = {2011},
10611  petsc_uses    = {KSP}
10612}
10613
10614@Misc{            brownknepleysmith13,
10615  author        = {J. Brown and M. Knepley and B. Smith},
10616  title         = {Run-time Extensibility: Anything Less is Unsustainable},
10617  note          = {whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale
10618                  Science, available via \url{http://www.orau.gov/swproductivity2014/papers.htm}},
10619  year          = {2013},
10620  petsc_uses    = {KSP}
10621}
10622
10623@Article{         jzhaoyliwkliu15,
10624  author        = {J. Zhao and Y. Li and W.K. Liu},
10625  title         = {Predicting band structure of 3{D} mechanical metamaterials with complex geometry
10626                  via {XFEM}},
10627  journal       = {Computational Mechanics},
10628  year          = {2015},
10629  url           = {http://link.springer.com/article/10.1007/s00466-015-1129-2},
10630  petsc_uses    = {KSP}
10631}
10632
10633@Article{         alisic14,
10634  author        = {L. Alisic and J.F. Rudge and R.F. Katz and G. Wells and S. Rhebergen},
10635  title         = {Compaction around a rigid, circular inclusion in partially molten rock},
10636  journal       = {J. Geophys. Res.},
10637  year          = {2014},
10638  volume        = {119},
10639  number        = {7},
10640  pages         = {5903-5920},
10641  doi           = {10.1002/2013JB010906},
10642  petsc_uses    = {KSP}
10643}
10644
10645@Article{         rhebergen14,
10646  author        = {S. Rhebergen and G. Wells and R.F. Katz and A. Wathen},
10647  title         = {Analysis of block preconditioners for models of coupled magma mantle dynamics},
10648  journal       = {SIAM J. Sci. Comp.},
10649  year          = {2014},
10650  volume        = {36},
10651  number        = {4},
10652  pages         = {1960-1977},
10653  doi           = {10.1137/130946678},
10654  petsc_uses    = {KSP}
10655}
10656
10657@Article{         allwright14,
10658  author        = {J. Allwright and R.F. Katz},
10659  title         = {Pipe Poiseuille flow of viscously anisotropic, partially molten rock},
10660  journal       = {Geophys. J. Int.},
10661  year          = {2014},
10662  volume        = {199},
10663  number        = {3},
10664  pages         = {1608--1624},
10665  doi           = {10.1093/gji/ggu345},
10666  petsc_uses    = {KSP}
10667}
10668
10669@Misc{            gropp10,
10670  author        = {William D. Gropp},
10671  title         = {Update on libraries for {B}lue {W}aters},
10672  address       = {Bordeaux, France},
10673  year          = {2010},
10674  url           = {http://jointlab.ncsa.illinois.edu/events/workshop3/pdf/presentations/Gropp-Update-on-Libraries.pdf},
10675  petsc_uses    = {KSP}
10676}
10677
10678@InProceedings{   mayknepley2017,
10679  title         = {{DMSwarm}: Particles in {PETSc}},
10680  author        = {Dave A May and Matthew G Knepley},
10681  booktitle     = {EGU General Assembly Conference Abstracts},
10682  volume        = {19},
10683  pages         = {10133},
10684  year          = {2017},
10685  petsc_uses    = {KSP}
10686}
10687
10688@InProceedings{   adamsbrownknepley2013,
10689  author        = {Mark F. Adams and Jed Brown and Matthew G. Knepley},
10690  title         = {Low-communication techniques for extreme-scale multilevel solvers},
10691  booktitle     = {Exascale Mathematics Workshop, Aug 21--22, Washington, DC},
10692  organization  = {DOE Office of Advanced Scientific Computing Research},
10693  year          = {2013},
10694  petsc_uses    = {KSP}
10695}
10696
10697@Article{         bhallagriffithknepleyadamsguy2017,
10698  title         = {Scalable smoothing strategies for a geometric multigrid method for the immersed
10699                  boundary equations},
10700  author        = {Amneet Pal Singh Bhalla and Boyce E. Griffith and Matthew G. Knepley and Mark F.
10701                  Adams and Robert D. Guy},
10702  journal       = {arXiv e-prints},
10703  eprint        = {1612.02208},
10704  year          = {2017},
10705  note          = {\url{http://arxiv.org/abs/1612.02208}},
10706  petsc_uses    = {KSP}
10707}
10708
10709@Article{         zampini2016pcbddc,
10710  title         = {{PCBDDC}: a class of robust dual-primal methods in {PETSc}},
10711  author        = {Zampini, Stefano},
10712  journal       = {SIAM Journal on Scientific Computing},
10713  volume        = {38},
10714  number        = {5},
10715  pages         = {S282--S306},
10716  year          = {2016},
10717  publisher     = {SIAM},
10718  petsc_uses    = {KSP}
10719}
10720
10721@Article{         jolivetromanzampini2020,
10722  title         = {{KSPHPDDM} and {PCHPDDM}: extending {PETSc} with advanced {Krylov} methods and
10723                  robust multilevel overlapping {Schwarz} preconditioners},
10724  author        = {Pierre Jolivet and Jose Roman and Stefano Zampini},
10725  journal       = {Computers and Mathematics with Applications},
10726  volume        = {84},
10727  pages         = {277--295},
10728  year          = {2020}
10729}
10730
10731@Article{         zampinitu2017,
10732  title         = {Multilevel {BDDC} deluxe algorithms with adaptive coarse spaces for flow in
10733                  porous media},
10734  author        = {Stefano Zampini and Xuemin Tu},
10735  journal       = {SIAM Journal of Scientific Computing},
10736  volume        = {39},
10737  number        = {4},
10738  pages         = {A1389--A1415},
10739  year          = {2017}
10740}
10741
10742@Article{         ohwidlundzampinidohrmann2017,
10743  title         = {{BDDC} algorithms with deluxe scaling and adaptive selection of primal
10744                  constraints for {Raviart-Thomas} vector fields},
10745  author        = {D.-S. Oh and Olof B. Widlund and Stefano Zampini and Clark Dohrmann},
10746  journal       = {Mathematics of Computation},
10747  volume        = {87},
10748  number        = {310},
10749  pages         = {659--692},
10750  year          = {2017}
10751}
10752
10753@Article{         veigapavarinoscacchiwidlundzampini2016,
10754  title         = {Adaptive selection of primal constraints for isogeometric {BDDC} deluxe
10755                  preconditioners},
10756  author        = {L. Beirao Da Veiga and Luca F. Pavarino and S. Scacchi and Olof B. Widlund and
10757                  Stefano Zampini},
10758  journal       = {SIAM Journal of Scientific Computing},
10759  volume        = {39},
10760  number        = {1},
10761  pages         = {A281--A302},
10762  year          = {2016}
10763}
10764
10765@Article{         pavarinoscacchiwidlundzampini2018,
10766  title         = {Isogeometric {BDDC} deluxe preconditioners for linear elasticity for isogeometric
10767                  analysis},
10768  author        = {Luca F. Pavarino and S. Scacchi and Olof B. Widlund and Stefano Zampini},
10769  journal       = {Mathematical Models and Methods in Applied Sciences},
10770  volume        = {28},
10771  number        = {7},
10772  pages         = {1337--1370},
10773  year          = {2018}
10774}
10775
10776@Article{         bergervergiatwaisman2017,
10777  title         = {An overlapping Domain Decomposition preconditioning method for monolithic
10778                  solution of shear bands},
10779  author        = {Luc Berger-Vergiat and Haim Waisman},
10780  journal       = {Computer Methods in Applied Mechanics and Engineering},
10781  volume        = {318},
10782  pages         = {33--60},
10783  year          = {2017},
10784  petsc_uses    = {KSP}
10785}
10786
10787@Article{         abhyankarmaldonadosmithzhang2020,
10788  title         = {{PETSc} {DMNetwork}: A Library for Scalable Network PDE-Based Multiphysics
10789                  Simulations},
10790  author        = {S. Abhyankar and G. Betrie and D.A. Maldonado and L.C. McInnes and B. Smith and
10791                  H. Zhang},
10792  journal       = {ACM Transactions on Mathematical Software},
10793  volume        = {46},
10794  number        = {1},
10795  year          = {2020},
10796  doi           = {10.1145/3344587},
10797  petsc_uses    = {KSP}
10798}
10799
10800@InProceedings{   zhangellpack2018,
10801  author        = {Hong Zhang and Richard T. Mills and Karl Rupp and Barry F. Smith},
10802  title         = {Vectorized Parallel Sparse Matrix-Vector Multiplication in {PETSc} Using
10803                  {AVX-512}},
10804  booktitle     = {Proceedings of the 47th International Conference on Parallel Processing},
10805  year          = {2018},
10806  petsc_uses    = {KSP}
10807}
10808
10809@Misc{            petsc-user-meetings:website,
10810  title         = {{PETSc User Meetings}},
10811  key           = {PETSc User Meetings},
10812  howpublished  = {\url{https://petsc.org/release/community/meetings/meeting}},
10813  petsc_uses    = {KSP}
10814}
10815
10816@Article{         flexible-bicgstab-chen16,
10817  title         = {Analysis and Practical Use of Flexible {BiCGStab}},
10818  author        = {J. Chen and L.C. McInnes and H. Zhang},
10819  journal       = {Journal of Scientific Computing},
10820  volume        = {68},
10821  number        = {2},
10822  month         = jul,
10823  year          = {2016},
10824  pages         = {803--825},
10825  doi           = {10.1007/s10915-015-0159-4},
10826  petsc_uses    = {KSP}
10827}
10828
10829@Misc{            petsc-extensibility2016,
10830  author        = {M. Knepley and D. A. May and J. Brown and B. Smith},
10831  title         = {{Extensibility in PETSc}},
10832  note          = {SIAM News, available via
10833                  \url{https://sinews.siam.org/Details-Page/extensibility-in-petsc}},
10834  year          = {2016},
10835  petsc_uses    = {KSP}
10836}
10837
10838@Misc{            error-estimation-whitepaper2017,
10839  author        = {E. Constantinescu and O. Marin and T. Munson and B. Smith and H. Zhang},
10840  title         = {End-to-end error estimation and control},
10841  note          = {whitepaper for 2017 ASCR Applied Mathematics PI Meeting},
10842  doi           = {10.6084/m9.figshare.5339866},
10843  year          = {2017},
10844  petsc_uses    = {KSP}
10845}
10846
10847@Misc{            petsc-user-support15,
10848  title         = {On the Evolution of User Support Topics in Computational Science and Engineering
10849                  Software},
10850  author        = {K. Rupp and S. Balay and J. Brown and M. Knepley and L. C. McInnes and B. Smith},
10851  note          = {Workshop on CSE Software Sustainability and Productivity (CSESSP) Challenges, Oct
10852                  15-16, 2015},
10853  year          = {2015},
10854  petsc_uses    = {KSP}
10855}
10856
10857@InBook{          petsc-mixed-language-support2016,
10858  title         = {Numerical Library Support for High-Performance Mixed Language Applications and
10859                  Legacy Code},
10860  author        = {S. Balay and J. Brown and M. Knepley and L.C. McInnes and B. Smith},
10861  booktitle     = {Software Engineering for Science},
10862  editors       = {J. Carver et al.},
10863  publisher     = {CRC Press},
10864  pages         = {201--214},
10865  year          = {2016},
10866  petsc_uses    = {KSP}
10867}
10868
10869@InProceedings{   konolige2018parallel,
10870  title         = {A Parallel Solver for Graph {L}aplacians},
10871  author        = {Tristan Konolige and Jed Brown},
10872  booktitle     = {Proceedings of the Platform for Advanced Scientific Computing (PASC)},
10873  doi           = {10.1145/3218176.3218227},
10874  note          = {Best Paper Award},
10875  archiveprefix = {arXiv},
10876  eprint        = {1705.06266},
10877  year          = {2018},
10878  petsc_uses    = {KSP}
10879}
10880
10881@InProceedings{   werner-kimn2019,
10882  title         = {Parallel implementation of {AC} optimal power flow and time-constrained optimal
10883                  power flow using high-performance computing},
10884  author        = {Alex Werner and Kapil Duwadi and Nicholas Stegmeier and Timothy M. Hansen and
10885                  Jung-Han Kimn},
10886  booktitle     = {IEEE 9th Annual Computing and Communication Workshop and Conference (CCWC 2019)},
10887  note          = {Best Paper in Track},
10888  year          = {2019},
10889  petsc_uses    = {KSP}
10890}
10891
10892@MastersThesis{   rinaldo-ceresoli18,
10893  author        = {Stefano Guido Rinaldo and Andrea Ceresoli},
10894  title         = {Newton–Krylov–Schwarz Methods for Distributed Power Flow and Related
10895                  Applications},
10896  school        = {Politecnico di Milano},
10897  year          = {2018},
10898  month         = apr,
10899  petsc_uses    = {KSP}
10900}
10901
10902@Article{         sananschneppmay2016,
10903  title         = {Pipelined, Flexible {K}rylov Subspace Methods},
10904  author        = {P. Sanan and S. M. Schnepp and D. A. May},
10905  journal       = {SIAM Journal on Scientific Computing},
10906  volume        = {38},
10907  number        = {5},
10908  pages         = {C441-C470},
10909  year          = {2016},
10910  doi           = {10.1137/15M1049130},
10911  petsc_uses    = {KSP}
10912}
10913
10914@Article{         petscsf2022,
10915  author        = {Zhang, Junchao and Brown, Jed and Balay, Satish and Faibussowitsch, Jacob and
10916                  Knepley, Matthew and Marin, Oana and Mills, Richard Tran and Munson, Todd and
10917                  Smith, Barry F. and Zampini, Stefano},
10918  journal       = {IEEE Transactions on Parallel and Distributed Systems},
10919  title         = {The {PetscSF} Scalable Communication Layer},
10920  year          = {2022},
10921  volume        = {33},
10922  number        = {4},
10923  pages         = {842-853},
10924  doi           = {10.1109/TPDS.2021.3084070}
10925}
10926
10927@Article{         brandt2000,
10928  title         = {General highly accurate algebraic coarsening},
10929  author        = {Achi Brandt},
10930  journal       = {Electronic Transactions on Numerical Analysis},
10931  volume        = {10},
10932  number        = {9680},
10933  pages         = {1--20},
10934  issn          = {10689613},
10935  year          = {2000}
10936}
10937
10938@Article{         dalcinpazklercosimo2011,
10939  title         = {Parallel distributed computing using Python},
10940  author        = {Lisandro D. Dalcin and Rodrigo R. Paz and Pablo A. Kler and Alejandro Cosimo},
10941  journal       = {Advances in Water Resources},
10942  volume        = {34},
10943  number        = {9},
10944  pages         = {1124 - 1139},
10945  note          = {New Computational Methods and Software Tools},
10946  issn          = {0309-1708},
10947  doi           = {10.1016/j.advwatres.2011.04.013},
10948  year          = {2011}
10949}
10950
10951@Article{         behnelbradshawcitrodalcinseljebotnsmith2011,
10952  title         = {Cython: The Best of Both Worlds},
10953  author        = {Behnel,Stefan and Bradshaw,Robert and Citro,Craig and Dalcin,Lisandro and
10954                  Seljebotn,Dag Sverre and Smith,Kurt },
10955  journal       = {Computing in Science \& Engineering},
10956  volume        = {13},
10957  number        = {2},
10958  pages         = {31-39},
10959  doi           = {10.1109/MCSE.2010.118},
10960  year          = {2011}
10961}
10962
10963@Article{         dalcinpazstorti2005,
10964  title         = {MPI for Python},
10965  author        = {Lisandro Dalcín and Rodrigo Paz and Mario Storti},
10966  journal       = {Journal of Parallel and Distributed Computing},
10967  volume        = {65},
10968  number        = {9},
10969  pages         = {1108 - 1115},
10970  issn          = {0743-7315},
10971  doi           = {10.1016/j.jpdc.2005.03.010},
10972  year          = {2005}
10973}
10974
10975@Article{         dalcincolliervignalcortescalo2016,
10976  title         = {PetIGA: A framework for high-performance isogeometric analysis},
10977  author        = {Lisandro Dalcin and Nathan Collier and P. Vignal and A.M.A. Cortes and Victor M.
10978                  Calo},
10979  journal       = {Computer Methods in Applied Mechanics and Engineering},
10980  volume        = {308},
10981  pages         = {151 - 181},
10982  issn          = {0045-7825},
10983  doi           = {10.1016/j.cma.2016.05.011},
10984  year          = {2016}
10985}
10986
10987@Article{         collierpardodalcinpaszynskicalo2012,
10988  title         = {The cost of continuity: A study of the performance of isogeometric finite
10989                  elements using direct solvers},
10990  author        = {Nathan Collier and David Pardo and Lisandro Dalcin and Maciej Paszynski and V.M.
10991                  Calo},
10992  journal       = {Computer Methods in Applied Mechanics and Engineering},
10993  volume        = {213-216},
10994  pages         = {353 - 361},
10995  issn          = {0045-7825},
10996  doi           = {10.1016/j.cma.2011.11.002},
10997  year          = {2012}
10998}
10999
11000@Article{         collierdalcinpardocalo2013,
11001  title         = {The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite
11002                  Elements},
11003  author        = {Nathan Collier and Lisandro Dalcin and David Pardo and Victor M. Calo},
11004  journal       = {SIAM Journal on Scientific Computing},
11005  volume        = {35},
11006  number        = {2},
11007  pages         = {A767-A784},
11008  doi           = {10.1137/120881038},
11009  year          = {2013}
11010}
11011
11012@Article{         dunning2017jump,
11013  title         = {{JuMP}: a modeling language for mathematical optimization},
11014  author        = {Dunning, Iain and Huchette, Joey and Lubin, Miles},
11015  journal       = {SIAM Review},
11016  volume        = {59},
11017  number        = {2},
11018  pages         = {295--320},
11019  year          = {2017},
11020  publisher     = {SIAM}
11021}
11022
11023@InProceedings{   prudencioschulz2011,
11024  title         = {The parallel {C++} statistical library {QUESO}: Quantification of Uncertainty for
11025                  Estimation, Simulation and Optimization},
11026  author        = {Ernesto E Prudencio and Karl W Schulz},
11027  booktitle     = {European Conference on Parallel Processing},
11028  pages         = {398--407},
11029  year          = {2011}
11030}
11031
11032@Misc{            rol-website,
11033  key           = {ROL},
11034  title         = {{Rapid Optimization Library} Website},
11035  howpublished  = {\url{https://trilinos.org/packages/rol}},
11036  year          = {2018}
11037}
11038
11039@Article{         more1994line,
11040  title         = {Line search algorithms with guaranteed sufficient decrease},
11041  author        = {Mor{\'e}, Jorge J and Thuente, David J},
11042  journal       = {ACM Transactions on Mathematical Software},
11043  volume        = {20},
11044  number        = {3},
11045  pages         = {286--307},
11046  year          = {1994},
11047  publisher     = {ACM}
11048}
11049
11050@Article{         griewank2000algorithm,
11051  title         = {Algorithm 799: revolve: an implementation of checkpointing for the reverse or
11052                  adjoint mode of computational differentiation},
11053  author        = {Griewank, Andreas and Walther, Andrea},
11054  journal       = {ACM Transactions on Mathematical Software},
11055  volume        = {26},
11056  number        = {1},
11057  pages         = {19--45},
11058  year          = {2000},
11059  publisher     = {ACM}
11060}
11061
11062@Article{         metcalf2011seven,
11063  title         = {The seven ages of fortran},
11064  author        = {Metcalf, Michael},
11065  journal       = {Journal of Computer Science \& Technology},
11066  volume        = {11},
11067  year          = {2011}
11068}
11069
11070@Article{         giraldo_2013,
11071  title         = {Implicit-explicit formulations of a three-dimensional nonhydrostatic unified
11072                  model of the atmosphere {(NUMA)}},
11073  author        = {F.X. Giraldo and J.F. Kelly and E.M. Constantinescu},
11074  journal       = {SIAM Journal on Scientific Computing},
11075  year          = {2013},
11076  number        = {5},
11077  pages         = {B1162-B1194},
11078  volume        = {35},
11079  doi           = {10.1137/120876034}
11080}
11081
11082@Article{         constantinescu_tr2016b,
11083  author        = {Constantinescu, E.M.},
11084  title         = {Estimating Global Errors in Time Stepping},
11085  journal       = {ArXiv e-prints},
11086  archiveprefix = {arXiv},
11087  eprint        = {1503.05166},
11088  primaryclass  = {math.NA},
11089  keywords      = {Mathematics - Numerical Analysis, 65L05, 65L06, 65L20, 65L70},
11090  year          = {2016},
11091  month         = mar,
11092  adsurl        = {http://adsabs.harvard.edu/abs/2015arXiv150305166C},
11093  adsnote       = {Provided by the SAO/NASA Astrophysics Data System}
11094}
11095
11096@Article{         pareschi_2005,
11097  title         = {Implicit-Explicit {R}unge-{K}utta Schemes and Applications to Hyperbolic Systems
11098                  with Relaxation},
11099  author        = {L. Pareschi and G. Russo},
11100  journal       = {Journal of Scientific Computing},
11101  year          = {2005},
11102  number        = {1},
11103  pages         = {129--155},
11104  volume        = {25}
11105}
11106
11107@Article{         kennedy_2003,
11108  title         = {Additive {R}unge-{K}utta schemes for convection-diffusion-reaction equations},
11109  author        = {C.A. Kennedy and M.H. Carpenter},
11110  journal       = {Appl. Numer. Math.},
11111  year          = {2003},
11112  number        = {1-2},
11113  pages         = {139--181},
11114  volume        = {44},
11115  doi           = {10.1016/S0168-9274(02)00138-1},
11116  publisher     = {Elsevier Science Publishers B. V.}
11117}
11118
11119@Unpublished{     boscarino_tr2011,
11120  title         = {Implicit-Explicit {R}unge-{K}utta schemes for hyperbolic systems and kinetic
11121                  equations in the diffusion limit},
11122  author        = {Boscarino, S. and Pareschi, L. and Russo, G.},
11123  note          = {Arxiv preprint arXiv:1110.4375},
11124  year          = {2011}
11125}
11126
11127@Article{         ascher_1997,
11128  title         = {Implicit-explicit {R}unge-{K}utta methods for time-dependent partial differential
11129                  equations},
11130  author        = {U.M. Ascher and S.J. Ruuth and R.J. Spiteri},
11131  journal       = {Applied Numerical Mathematics},
11132  year          = {1997},
11133  pages         = {151--167},
11134  volume        = {25}
11135}
11136
11137@Book{            ascherpetzold1998,
11138  title         = {Computer methods for ordinary differential equations and differential-algebraic
11139                  equations},
11140  author        = {Uri M Ascher and Linda R Petzold},
11141  volume        = {61},
11142  publisher     = {SIAM},
11143  year          = {1998}
11144}
11145
11146@Article{         colomesbadia2016,
11147  title         = {Segregated {Runge}--{Kutta} methods for the incompressible {Navier}--{Stokes}
11148                  equations},
11149  author        = {Oriol Colom{\'e}s and Santiago Badia},
11150  journal       = {International Journal for Numerical Methods in Engineering},
11151  volume        = {105},
11152  number        = {5},
11153  pages         = {372--400},
11154  year          = {2016}
11155}
11156
11157@Article{         sandu_1997,
11158  title         = {Benchmarking stiff {ODE} solvers for atmospheric chemistry problems {II}:
11159                  {R}osenbrock solvers},
11160  author        = {A. Sandu and J.G. Verwer and J.G. Blom and E.J. Spee and G.R. Carmichael and F.A.
11161                  Potra},
11162  journal       = {Atmospheric Environment},
11163  year          = {1997},
11164  number        = {20},
11165  pages         = {3459--3472},
11166  volume        = {31},
11167  abstract      = {In the numerical simulation of atmospheric transport-chemistry processes, a major
11168                  task is the integration of the stiff systems of ordinary differential equations
11169                  describing the chemical transformations. It is therefore of interest to
11170                  systematically search for stiff solvers which can be identified as close to
11171                  optimal for atmospheric applications. In this paper we continue our investigation
11172                  from Sandu et al. (1996, CWI Report NM-R9603 and Report in Comput. Math., No. 85)
11173                  and compare eight solvers on a set of seven box-models used in present day models.
11174                  The focus is on Rosenbrock solvers. These turn out to be very well suited for our
11175                  application when they are provided with highly efficient sparse matrix techniques
11176                  to economize on the linear algebra. Two of the Rosenbrock solvers tested are from
11177                  the literature, viz. and 4, and two are new and specially developed for air
11178                  quality applications, viz. 3 and 3. }
11179}
11180
11181@Article{         rang_2005,
11182  title         = {New {R}osenbrock {W}-methods of order 3 for partial differential algebraic
11183                  equations of index 1},
11184  author        = {Rang, J. and Angermann, L.},
11185  journal       = {BIT Numerical Mathematics},
11186  year          = {2005},
11187  number        = {4},
11188  pages         = {761--787},
11189  volume        = {45},
11190  publisher     = {Springer}
11191}
11192
11193@Article{         gottliebketchesonshu2009,
11194  author        = {Sigal Gottlieb and David I. Ketcheson and Chi Wang Shu},
11195  title         = {{High order strong stability preserving time discretizations}},
11196  journal       = {Journal of Scientific Computing},
11197  volume        = {38},
11198  number        = {3},
11199  pages         = {251--289},
11200  doi           = {10.1007/s10915-008-9239-z},
11201  year          = {2009}
11202}
11203
11204@Article{         ketcheson_2008,
11205  title         = {Highly Efficient Strong Stability-Preserving {R}unge--{K}utta Methods with
11206                  Low-Storage Implementations},
11207  author        = {D.I. Ketcheson},
11208  journal       = {SIAM Journal on Scientific Computing},
11209  year          = {2008},
11210  number        = {4},
11211  pages         = {2113--2136},
11212  volume        = {30},
11213  doi           = {10.1137/07070485X},
11214  keywords      = {method of lines, strong stability-preserving, monotonicity, low-storage,
11215                  RungeKutta methods},
11216  publisher     = {SIAM}
11217}
11218
11219@Article{         jansen_2000,
11220  title         = {A generalized-alpha method for integrating the filtered {N}avier--{S}tokes
11221                  equations with a stabilized finite element method},
11222  author        = {Jansen, K.E. and Whiting, C.H. and Hulbert, G.M.},
11223  journal       = {Computer Methods in Applied Mechanics and Engineering},
11224  year          = {2000},
11225  number        = {3},
11226  pages         = {305--319},
11227  volume        = {190},
11228  publisher     = {Elsevier}
11229}
11230
11231@Article{         butcher_2007,
11232  title         = {Error propagation of general linear methods for ordinary differential equations},
11233  author        = {J.C. Butcher and Z. Jackiewicz and W.M. Wright},
11234  journal       = {Journal of Complexity},
11235  year          = {2007},
11236  number        = {4-6},
11237  pages         = {560--580},
11238  volume        = {23},
11239  abstract      = {We discuss error propagation for general linear methods for ordinary differential
11240                  equations up to terms of order p+2, where p is the order of the method. These
11241                  results are then applied to the estimation of local discretization errors for
11242                  methods of order p and for the adjacent order p+1. The results of numerical
11243                  experiments confirm the reliability of these estimates. This research has
11244                  applications in the design of robust stepsize and order changing strategies for
11245                  algorithms based on general linear methods.},
11246  doi           = {10.1016/j.jco.2007.01.009},
11247  issn          = {0885-064X}
11248}
11249
11250@Article{         constantinescu_a2010a,
11251  title         = {Extrapolated implicit-explicit time stepping},
11252  author        = {E.M. Constantinescu and A. Sandu},
11253  journal       = {SIAM Journal on Scientific Computing},
11254  year          = {2010},
11255  number        = {6},
11256  pages         = {4452-4477},
11257  volume        = {31},
11258  comment       = {Preprint \# ANL/MCS-P1612-0409},
11259  doi           = {10.1137/080732833}
11260}
11261
11262@InProceedings{   devito2011liszt,
11263  title         = {Liszt: a domain specific language for building portable mesh-based PDE solvers},
11264  author        = {DeVito, Zachary and Joubert, Niels and Palacios, Francisco and Oakley, Stephen
11265                  and Medina, Montserrat and Barrientos, Mike and Elsen, Erich and Ham, Frank and
11266                  Aiken, Alex and Duraisamy, Karthik and others},
11267  booktitle     = {Proceedings of 2011 International Conference for High Performance Computing,
11268                  Networking, Storage and Analysis},
11269  pages         = {9},
11270  year          = {2011},
11271  organization  = {ACM}
11272}
11273
11274@Article{         devito2011designing,
11275  title         = {Designing the Language Liszt for Building Portable Mesh-based PDE Solvers},
11276  author        = {DeVito, Zachary and Hanrahan, Pat},
11277  journal       = {Scientific Discovery through Advanced Computing Program (SciDAC)},
11278  year          = {2011}
11279}
11280
11281@Misc{            pgasintro,
11282  author        = {Tim Stitt},
11283  title         = {An Introduction to the Partitioned Global Address Space (PGAS) Programming
11284                  Model},
11285  note          = {\url{http://cnx.org/content/m20649/latest/}}
11286}
11287
11288@InProceedings{   el2006upc,
11289  title         = {UPC: unified parallel C},
11290  author        = {El-Ghazawi, Tarek and Smith, Lauren},
11291  booktitle     = {Proceedings of the 2006 ACM/IEEE conference on Supercomputing},
11292  pages         = {27},
11293  year          = {2006},
11294  organization  = {ACM}
11295}
11296
11297@InProceedings{   numrich1998co,
11298  title         = {Co-Array Fortran for parallel programming},
11299  author        = {Numrich, Robert W and Reid, John},
11300  booktitle     = {ACM Sigplan Fortran Forum},
11301  volume        = {17},
11302  number        = {2},
11303  pages         = {1--31},
11304  year          = {1998},
11305  organization  = {ACM}
11306}
11307
11308@Article{         aiken1997titanium,
11309  title         = {Titanium: A high-performance Java dialect},
11310  author        = {Aiken, Alex and Colella, Phil and Gay, David and Graham, Susan and Hilfinger,
11311                  Paul and Krishnamurthy, Arvind and Liblit, Ben and Miyamoto, Carleton and Pike,
11312                  Geoff and Semenzato, Luigi and others},
11313  year          = {1997}
11314}
11315
11316@Article{         charles2005x10,
11317  title         = {X10: an object-oriented approach to non-uniform cluster computing},
11318  author        = {Charles, Philippe and Grothoff, Christian and Saraswat, Vijay and Donawa,
11319                  Christopher and Kielstra, Allan and Ebcioglu, Kemal and Von Praun, Christoph and
11320                  Sarkar, Vivek},
11321  journal       = {Acm Sigplan Notices},
11322  volume        = {40},
11323  number        = {10},
11324  pages         = {519--538},
11325  year          = {2005},
11326  publisher     = {ACM}
11327}
11328
11329@Article{         chamberlain2007parallel,
11330  title         = {Parallel programmability and the chapel language},
11331  author        = {Chamberlain, Bradford L and Callahan, David and Zima, Hans P},
11332  journal       = {International Journal of High Performance Computing Applications},
11333  volume        = {21},
11334  number        = {3},
11335  pages         = {291--312},
11336  year          = {2007},
11337  publisher     = {SAGE Publications}
11338}
11339
11340@InProceedings{   charmppoopsla93,
11341  author        = {{Kal\'{e}}, L.V. and Krishnan, S.},
11342  title         = {{CHARM++: A Portable Concurrent Object Oriented System Based on C++}},
11343  editor        = {Paepcke, A.},
11344  fulleditor    = {Paepcke, Andreas},
11345  pages         = {91--108},
11346  month         = sep,
11347  year          = {1993},
11348  booktitle     = {{Proceedings of OOPSLA'93}},
11349  publisher     = {{ACM Press}}
11350}
11351
11352@InProceedings{   hewitt1973universal,
11353  title         = {A universal modular actor formalism for artificial intelligence},
11354  author        = {Hewitt, Carl and Bishop, Peter and Steiger, Richard},
11355  booktitle     = {Proceedings of the 3rd international joint conference on Artificial
11356                  intelligence},
11357  pages         = {235--245},
11358  year          = {1973},
11359  organization  = {Morgan Kaufmann Publishers Inc.}
11360}
11361
11362@Book{            yonezawa1990abcl,
11363  title         = {ABCL: an object-oriented concurrent system},
11364  author        = {Yonezawa, Akinori},
11365  year          = {1990},
11366  publisher     = {MIT press}
11367}
11368
11369@InProceedings{   dally1988object,
11370  title         = {Object-oriented concurrent programming in CST},
11371  author        = {Dally, William J and Chien, Andrew A},
11372  booktitle     = {Proceedings of the third conference on Hypercube concurrent computers and
11373                  applications: Architecture, software, computer systems, and general issues-Volume
11374                  1},
11375  pages         = {434--439},
11376  year          = {1988},
11377  organization  = {ACM}
11378}
11379
11380@Article{         grimshaw1993easy,
11381  title         = {Easy-to-use object-oriented parallel processing with Mentat},
11382  author        = {Grimshaw, Andrew S.},
11383  journal       = {Computer},
11384  volume        = {26},
11385  number        = {5},
11386  pages         = {39--51},
11387  year          = {1993},
11388  publisher     = {IEEE}
11389}
11390
11391@InProceedings{   gannon1991object,
11392  title         = {Object oriented parallelism: pC++ ideas and experiments},
11393  author        = {Gannon, Dennis and Lee, JK},
11394  booktitle     = {Proceedings of},
11395  pages         = {13--23},
11396  year          = {1991}
11397}
11398
11399@InProceedings{   lau1992object,
11400  title         = {An object-oriented class library for scalable parallel heuristic search},
11401  author        = {Lau, Wing-cheong and Singh, Vineet},
11402  booktitle     = {ECOOP’92 European Conference on Object-Oriented Programming},
11403  pages         = {252--267},
11404  year          = {1992},
11405  organization  = {Springer}
11406}
11407
11408@Book{            chase1989amber,
11409  title         = {The Amber system: Parallel programming on a network of multiprocessors},
11410  author        = {Chase, Jeffery and Amador, Franz and Lazowska, Edward and Levy, Henry and
11411                  Littlefield, Richard},
11412  volume        = {23},
11413  number        = {5},
11414  year          = {1989},
11415  publisher     = {ACM}
11416}
11417
11418@InProceedings{   kaiser2009parallex,
11419  title         = {Parallex an advanced parallel execution model for scaling-impaired applications},
11420  author        = {Kaiser, Hartmut and Brodowicz, Maciej and Sterling, Thomas},
11421  booktitle     = {Parallel Processing Workshops, 2009. ICPPW'09. International Conference on},
11422  pages         = {394--401},
11423  year          = {2009},
11424  organization  = {IEEE}
11425}
11426
11427@TechReport{      ipm,
11428  author        = {Barry F. Smith},
11429  title         = {A New Parallel Programming Model for Computer Simulation},
11430  institution   = {Argonne National Laboratory},
11431  year          = {2014},
11432  number        = {ANL/MCS-P5135-0414}
11433}
11434
11435@Article{         groppsnir,
11436  author        = {William Gropp and Marc Snir},
11437  title         = {Programming for Exascale Computers},
11438  journal       = {Computing in Science and Engineering},
11439  volume        = {15},
11440  number        = {6},
11441  issn          = {1521-9615},
11442  year          = {2013},
11443  pages         = {27-35},
11444  doi           = {10.1109/MCSE.2013.96},
11445  publisher     = {IEEE Computer Society},
11446  address       = {Los Alamitos, CA}
11447}
11448
11449@Book{            mpi3,
11450  title         = {MPI: A Message-Passing Interface Standard, Version 3.0},
11451  author        = {Message Passing Interface Forum},
11452  year          = {2012},
11453  publisher     = {High Performance Computing Center Stuttgart (HLRS)}
11454}
11455
11456@Book{            openmp4,
11457  title         = {OpenMP Application Program Interface, Version 4.0},
11458  year          = {2013},
11459  publisher     = {OpenMP Architecture Review Board}
11460}
11461
11462@InProceedings{   hartono2009annotation,
11463  title         = {Annotation-based empirical performance tuning using {Orio}},
11464  author        = {Hartono, Albert and Norris, Boyana and Sadayappan, Ponnuswamy},
11465  booktitle     = {Parallel \& Distributed Processing, 2009. IPDPS 2009. IEEE International
11466                  Symposium on},
11467  pages         = {1--11},
11468  year          = {2009},
11469  organization  = {IEEE}
11470}
11471
11472@Book{            toselli2005domain,
11473  title         = {Domain Decomposition Methods: Algorithms and Theory},
11474  author        = {Toselli, Andrea and Widlund, Olof B},
11475  volume        = {34},
11476  year          = {2005},
11477  publisher     = {Springer}
11478}
11479
11480@InBook{          st2016,
11481  author        = {Barry F. Smith and Xumin Tu},
11482  chapter       = {Domain Decomposition},
11483  title         = {Encyclopedia of Applied and Computational Mathematics},
11484  bookeditor    = {B. Engquist},
11485  publisher     = {Springer},
11486  pages         = {375--381},
11487  year          = {2016}
11488}
11489
11490@TechReport{      saws,
11491  author        = {Matt Otten and Jed Brown and Barry F. Smith},
11492  title         = {Scientific Application Web Server {(SAWs)} Users Manual},
11493  institution   = {Argonne National Laboratory},
11494  year          = {2013}
11495}
11496
11497@Article{         smith1997domain,
11498  title         = {Domain Decomposition Methods for Partial Differential Equations},
11499  author        = {Smith, B.F.},
11500  journal       = {ICASE LARC Interdisciplinary Series in Science and Engineering},
11501  volume        = {4},
11502  pages         = {225--244},
11503  year          = {1997},
11504  publisher     = {Citeseer}
11505}
11506
11507@Article{         spillane2011abstract,
11508  title         = {Abstract robust coarse spaces for systems of {PDEs} via generalized eigenproblems
11509                  in the overlaps},
11510  author        = {Spillane, N and Dolean, V and Hauret, P and Nataf, F and Pechstein, C and
11511                  Scheichl, R},
11512  journal       = {NuMa-Report},
11513  volume        = {7},
11514  pages         = {2007},
11515  year          = {2011}
11516}
11517
11518@InProceedings{   jolivet2013scalabledd,
11519  title         = {Scalable domain decomposition preconditioners for heterogeneous elliptic
11520                  problems},
11521  author        = {Jolivet, Pierre and Hecht, Fr{\'e}d{\'e}ric and Nataf, Fr{\'e}d{\'e}ric and
11522                  Prud'homme, Christophe},
11523  booktitle     = {Proceedings of SC13: International Conference for High Performance Computing,
11524                  Networking, Storage and Analysis},
11525  pages         = {80},
11526  year          = {2013},
11527  organization  = {ACM}
11528}
11529
11530@Book{            ks2000,
11531  author        = {D. Kinderlehrer and G. Stampacchia},
11532  publisher     = {Society for Industrial Mathematics},
11533  title         = {An Introduction to Variational Inequalities and Their Applications},
11534  year          = {2000}
11535}
11536
11537@Article{         wan2000energy,
11538  title         = {An energy-minimizing interpolation for robust multigrid methods},
11539  author        = {Wan, W.L. and Chan, T.F. and Smith, B. F.},
11540  journal       = {SIAM Journal on Scientific Computing},
11541  volume        = {21},
11542  number        = {4},
11543  pages         = {1632--1649},
11544  year          = {2000},
11545  publisher     = {Philadelphia, PA: SIAM, c1993-}
11546}
11547
11548@Article{         chansmith1994,
11549  title         = {Domain decomposition and multigrid algorithms for elliptic problems on
11550                  unstructured meshes},
11551  author        = {Chan, T.F. and Smith, B.F.},
11552  journal       = {Electronic Transactions on Numerical Analysis},
11553  volume        = {2},
11554  pages         = {171--182},
11555  year          = {1994}
11556}
11557
11558@TechReport{      proto-fsp,
11559  author        = {Venkatramani Balaji and Barry Smith and Brian Van Straalen and Priya Vashishta
11560                  and Michael Zarnstorff and Michael Zika},
11561  title         = {Report of the {Proto-FSP} {Assessment Panel for the FSP}},
11562  institution   = {Princeton Plasma Physics Laboratory},
11563  year          = {2010},
11564  url           = {http://www.pppl.gov/fsp/documents/Proto-FSPAssessmentReport.pdf}
11565}
11566
11567@Article{         hirvijoki2021,
11568  title         = {Structure-preserving marker-particle discretizations of {Coulomb} collisions for
11569                  particle-in-cell codes},
11570  journal       = {Plasma Phys. Control. Fusion},
11571  author        = {Eero Hirvijoki},
11572  note          = {in press},
11573  doi           = {10.1088/1361-6587/abe884},
11574  year          = {2021}
11575}
11576
11577@Article{         ipsen2001,
11578  author        = {Ilse C. F. Ipsen},
11579  journal       = {SIAM J. Sci. Comput.},
11580  pages         = {1050--1051},
11581  volume        = {23},
11582  publisher     = {SIAM},
11583  title         = {A Note on Preconditioning Nonsymmetric Matrices},
11584  year          = {2001}
11585}
11586
11587% Random papers on solvers for GPUs
11588@InProceedings{   gpus-suck,
11589  author        = {Vuduc, R. and Chandramowlishwaran, A. and Choi, J. and Guney M. },
11590  title         = { On the Limits of {GPU} Acceleration},
11591  booktitle     = {HOTPAR: Proceedings of the 2nd USENIX Workshop on Hot Topics in Parallelism},
11592  year          = {2010},
11593  publisher     = {USENIX}
11594}
11595
11596@InProceedings{   882364,
11597  author        = {Bolz, Jeff and Farmer, Ian and Grinspun, Eitan and Schr\"{o}oder, Peter},
11598  title         = {Sparse matrix solvers on the {GPU}: conjugate gradients and multigrid},
11599  booktitle     = {SIGGRAPH '03: ACM SIGGRAPH 2003 Papers},
11600  year          = {2003},
11601  isbn          = {1-58113-709-5},
11602  pages         = {917--924},
11603  location      = {San Diego, California},
11604  doi           = {10.1145/1201775.882364},
11605  publisher     = {ACM},
11606  address       = {New York, NY}
11607}
11608
11609@Conference{      feng2008multigrid,
11610  author        = {Feng, Z. and Li, P.},
11611  booktitle     = {IEEE/ACM International Conference on Computer-Aided Design, 2008. ICCAD 2008},
11612  date-added    = {2010-08-19 15:57:06 -0500},
11613  date-modified = {2010-08-19 15:57:06 -0500},
11614  pages         = {647--654},
11615  title         = {Multigrid on {GPU}: Tackling power grid analysis on parallel SIMT platforms},
11616  year          = {2008}
11617}
11618
11619@Conference{      goodnight2003multigrid,
11620  author        = {Goodnight, N. and Woolley, C. and Lewin, G. and Luebke, D. and Humphreys, G.},
11621  booktitle     = {Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware},
11622  date-added    = {2010-08-19 15:45:20 -0500},
11623  date-modified = {2010-08-19 15:45:20 -0500},
11624  organization  = {Eurographics Association},
11625  pages         = {102--111},
11626  title         = {A multigrid solver for boundary value problems using programmable graphics
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11633  date-added    = {2010-08-19 15:45:02 -0500},
11634  date-modified = {2010-08-19 15:45:02 -0500},
11635  journal       = {High Performance Computing and Communications},
11636  pages         = {358--371},
11637  publisher     = {Citeseer},
11638  title         = {Concurrent number cruncher: {A}n efficient sparse linear solver on the {GPU}},
11639  year          = {2007}
11640}
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11645  date-modified = {2010-08-19 15:44:41 -0500},
11646  journal       = {Computer Methods in Applied Mechanics and Engineering},
11647  publisher     = {Elsevier},
11648  title         = {Real-time nonlinear finite element computations on {GPU}-application to
11649                  neurosurgical simulation},
11650  year          = {2010}
11651}
11652
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11654  author        = {Aharon, S.},
11655  date-added    = {2010-08-19 15:44:32 -0500},
11656  date-modified = {2010-08-19 15:44:32 -0500},
11657  month         = apr,
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11659  publisher     = {Google Patents},
11660  title         = {{GPU}-based Finite Element},
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11663
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11667  date-modified = {2010-08-19 15:44:01 -0500},
11668  journal       = {Computational Science--ICCS 2009},
11669  pages         = {893--903},
11670  publisher     = {Springer},
11671  title         = {Fast conjugate gradients with multiple {GPU}s},
11672  year          = {2009}
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11678  date-modified = {2010-08-19 15:43:57 -0500},
11679  journal       = {Computational Mechanics},
11680  number        = {1},
11681  pages         = {115--129},
11682  publisher     = {Springer},
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11684                  plasticity},
11685  volume        = {17},
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11692  date-modified = {2010-08-19 15:43:47 -0500},
11693  journal       = {International Journal for Numerical Methods in Fluids},
11694  publisher     = {John Wiley \& Sons},
11695  title         = {Running unstructured grid based CFD solvers on modern graphics hardware}
11696}
11697
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11699  author        = {Vasily Volkov and James W. Demmel},
11700  title         = {Benchmarking GPUs to tune dense linear algebra},
11701  booktitle     = {Proceedings of the 2008 ACM/IEEE Conference on Supercomputing (SC08)},
11702  note          = {\url{http://mc.stanford.edu/cgi-bin/images/6/65/SC08_Volkov_GPU.pdf}},
11703  year          = {2008}
11704}
11705
11706@TechReport{      cray-mvmult,
11707  author        = {Guy~E. Blelloch and Michael~A. Heroux and Marco Zagha},
11708  title         = {Segmented Operations for Sparse Matrix Computation on Vector Multiprocessors},
11709  institution   = {School of Computer Science, Carnegie Mellon University},
11710  number        = {CMU-CS-93-173},
11711  month         = aug,
11712  year          = {1993}
11713}
11714
11715@Conference{      bell2009implementing,
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11718                  and Analysis},
11719  date-added    = {2010-08-19 15:43:42 -0500},
11720  date-modified = {2010-08-19 15:43:42 -0500},
11721  organization  = {ACM},
11722  pages         = {1--11},
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11724                  processors},
11725  year          = {2009}
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11730  date-added    = {2010-08-19 15:43:36 -0500},
11731  date-modified = {2010-08-19 15:43:36 -0500},
11732  journal       = {{NVIDIA} Corporation, {NVIDIA} Technical Report NVR-2008-004},
11733  title         = {Efficient sparse matrix-vector multiplication on {CUDA}},
11734  year          = {2008}
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11736
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11739  date-added    = {2010-08-19 15:43:34 -0500},
11740  date-modified = {2010-08-19 15:43:34 -0500},
11741  journal       = {Parallel Computational Fluid Dynamics: Recent Advances and Future Directions},
11742  pages         = {414},
11743  publisher     = {DEStech Publications},
11744  title         = {A fast double precision CFD code using CUDA}
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11749  date-added    = {2010-08-19 15:43:32 -0500},
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11751  journal       = {ACM Transactions on Graphics (TOG)},
11752  number        = {3},
11753  pages         = {21},
11754  publisher     = {ACM},
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11757  year          = {2008}
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11775                  Entertainment},
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11777  date-modified = {2010-08-19 15:43:14 -0500},
11778  pages         = {37--43},
11779  title         = {The {GPU} used as a math co-processor in real time applications},
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11785  date-added    = {2010-08-19 15:42:56 -0500},
11786  date-modified = {2010-08-19 15:42:56 -0500},
11787  journal       = {IBM Research Report RC24704, IBM},
11788  title         = {Optimizing sparse matrix-vector multiplication on {GPU}s},
11789  year          = {2009}
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11793  author        = {Szeliski, R.},
11794  date-added    = {2010-08-19 15:42:45 -0500},
11795  date-modified = {2010-08-19 15:42:45 -0500},
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11805  date-added    = {2010-08-19 15:42:34 -0500},
11806  date-modified = {2010-08-19 15:42:34 -0500},
11807  journal       = {Scholarly Paper, University of Maryland},
11808  publisher     = {Citeseer},
11809  title         = {Cholesky decomposition and linear programming on a {GPU}},
11810  year          = {2006}
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11812
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11814  author        = {Filipovic, J. and Peterlik, I. and Fousek, J.},
11815  booktitle     = {SAAHPC: Symposium on Application Accelerators in HPC},
11816  date-added    = {2010-08-19 15:42:33 -0500},
11817  date-modified = {2010-08-19 15:42:33 -0500},
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11819                  Results},
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11828  journal       = {Medical Image Analysis},
11829  number        = {2},
11830  pages         = {234--244},
11831  publisher     = {Elsevier},
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11833                  solution and {GPU} execution},
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11845  organization  = {John Wiley \& Sons},
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11856  journal       = {Simulation Modelling Practice and Theory},
11857  number        = {8},
11858  pages         = {667--680},
11859  publisher     = {Elsevier},
11860  title         = {Scientific computation for simulations on programmable graphics hardware},
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11866  author        = {Rumpf, M. and Strzodka, R.},
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11883  pages         = {255--282},
11884  publisher     = {John Wiley \& Sons},
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11895  journal       = {Simulation Modelling Practice and Theory},
11896  number        = {8},
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12090  organization  = {Citeseer},
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12112  pages         = {3},
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12114                  hardware},
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12120                  and Hwu, W.W.},
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12122                  parallel programming},
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12128                  {GPU} using CUDA},
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12135                  Units},
12136  date-added    = {2010-08-19 15:41:11 -0500},
12137  date-modified = {2010-08-19 15:41:11 -0500},
12138  organization  = {ACM},
12139  pages         = {79--84},
12140  title         = {3D finite difference computation on {GPU}s using {CUDA}},
12141  year          = {2009}
12142}
12143
12144@Conference{      zhou2004pixel,
12145  author        = {Zhou, Y. and Garland, M. and Haber, R.},
12146  booktitle     = {IEEE Visualization, 2004},
12147  date-added    = {2010-08-19 15:41:03 -0500},
12148  date-modified = {2010-08-19 15:41:03 -0500},
12149  pages         = {425--432},
12150  title         = {Pixel-exact rendering of spacetime finite element solutions},
12151  year          = {2004}
12152}
12153
12154@Article{         komatitsch2009porting,
12155  author        = {Komatitsch, D. and Mich{\'e}a, D. and Erlebacher, G.},
12156  date-added    = {2010-08-19 15:41:01 -0500},
12157  date-modified = {2010-08-19 15:41:01 -0500},
12158  journal       = {Journal of Parallel and Distributed Computing},
12159  number        = {5},
12160  pages         = {451--460},
12161  publisher     = {Elsevier},
12162  title         = {Porting a high-order finite-element earthquake modeling application to NVIDIA
12163                  graphics cards using CUDA},
12164  volume        = {69},
12165  year          = {2009}
12166}
12167
12168@Article{         komatitsch1998spectral,
12169  author        = {Komatitsch, D. and Vilotte, J.P.},
12170  date-added    = {2010-08-19 15:40:59 -0500},
12171  date-modified = {2010-08-19 15:40:59 -0500},
12172  journal       = {Bulletin of the Seismological Society of America},
12173  number        = {2},
12174  pages         = {368--392},
12175  publisher     = {[El Cerrito, Calif., etc., Seismological Society of America, etc.]},
12176  title         = {The spectral element method: {A}n efficient tool to simulate the seismic response
12177                  of 2D and 3D geological structures},
12178  volume        = {88},
12179  year          = {1998}
12180}
12181
12182@Article{         wu2005improved,
12183  author        = {Wu, W. and Heng, P.A.},
12184  date-added    = {2010-08-19 15:40:59 -0500},
12185  date-modified = {2010-08-19 15:40:59 -0500},
12186  journal       = {The Visual Computer},
12187  number        = {8},
12188  pages         = {707--716},
12189  publisher     = {Springer},
12190  title         = {An improved scheme of an interactive finite element model for 3D soft-tissue
12191                  cutting and deformation},
12192  volume        = {21},
12193  year          = {2005}
12194}
12195
12196@Article{         taylor2008high,
12197  author        = {Taylor, Z.A. and Cheng, M. and Ourselin, S.},
12198  date-added    = {2010-08-19 15:40:57 -0500},
12199  date-modified = {2010-08-19 15:40:57 -0500},
12200  journal       = {IEEE transactions on medical imaging},
12201  number        = {5},
12202  pages         = {650},
12203  title         = {High-speed nonlinear finite element analysis for surgical simulation using
12204                  graphics processing units.},
12205  volume        = {27},
12206  year          = {2008}
12207}
12208
12209@Conference{      bolz2003sparse,
12210  author        = {Bolz, J. and Farmer, I. and Grinspun, E. and Schr{\\"o}oder, P.},
12211  booktitle     = {ACM SIGGRAPH 2003 Papers},
12212  date-added    = {2010-08-19 15:40:55 -0500},
12213  date-modified = {2010-08-19 15:40:55 -0500},
12214  organization  = {ACM},
12215  pages         = {924},
12216  title         = {Sparse matrix solvers on the {GPU}: conjugate gradients and multigrid},
12217  year          = {2003}
12218}
12219
12220@Article{         wu2004hybrid,
12221  author        = {Wu, W. and Heng, P.A.},
12222  date-added    = {2010-08-19 15:40:54 -0500},
12223  date-modified = {2010-08-19 15:40:54 -0500},
12224  journal       = {Computer Animation and Virtual Worlds},
12225  number        = {3-4},
12226  pages         = {219--227},
12227  publisher     = {John Wiley \& Sons},
12228  title         = {A hybrid condensed finite element model with {GPU} acceleration for interactive
12229                  3D soft tissue cutting},
12230  volume        = {15},
12231  year          = {2004}
12232}
12233
12234% ----------------------------------------------------------------------------------------------------------------
12235@TechReport{      davis97,
12236  author        = {T. Davis},
12237  title         = {The {U}niversity of {F}lorida Sparse Matrix Collection},
12238  institution   = {University of Florida},
12239  year          = {1997}
12240}
12241
12242@Article{         davis2011,
12243  author        = {Davis, T. A. and Hu, Y.},
12244  title         = {The {U}niversity of {F}lorida sparse matrix collection},
12245  journal       = {ACM Transactions on Mathematical Software},
12246  volume        = {38},
12247  issue         = {1},
12248  year          = {2011},
12249  pages         = {1--25}
12250}
12251
12252@Article{         davis2004algorithm,
12253  title         = {Algorithm 832: {UMFPACK} V4.3---An Unsymmetric-Pattern Multifrontal Method},
12254  author        = {Davis, Timothy A},
12255  journal       = {ACM Transactions on Mathematical Software},
12256  volume        = {30},
12257  number        = {2},
12258  pages         = {196--199},
12259  year          = {2004},
12260  publisher     = {ACM}
12261}
12262
12263@TechReport{      streams,
12264  author        = {J. D. McCalpin},
12265  title         = {{STREAM}: Sustainable memory bandwidth in high performance computers},
12266  institution   = {University of Virginia},
12267  url           = {http://www.cs.virginia.edu/stream},
12268  year          = {1995}
12269}
12270
12271@Article{         areusken_1988b,
12272  author        = {A. Reusken},
12273  title         = {Convergence of the multigrid full approximation scheme for a class of elliptic
12274                  mildly nonlinear boundary value problems},
12275  journal       = {Numer. Math.},
12276  volume        = {52},
12277  year          = {1988},
12278  pages         = {251--277}
12279}
12280
12281@Article{         areusken_1988c,
12282  author        = {A. Reusken},
12283  title         = {Convergence of the multigrid full approximation scheme including the {V}--cycle},
12284  journal       = {Numer. Math.},
12285  volume        = {53},
12286  year          = {1988},
12287  pages         = {663--686}
12288}
12289
12290@Unpublished{     mgnet,
12291  title         = {Multigrid Net; http://www.mgnet.org/},
12292  author        = {Craig Douglas},
12293  note          = {Contains enormous bibliography on multigrid publications},
12294  year          = {2009}
12295}
12296
12297@Unpublished{     copper,
12298  title         = {Fourteenth Copper Mountain Conference on Multigrid Methods},
12299  author        = {},
12300  note          = {Held bi-annually},
12301  year          = {2009}
12302}
12303
12304@Book{            wessling1992,
12305  author        = {Pieter Wesseling},
12306  title         = {An Introduction to Multigrid Methods},
12307  year          = {2004},
12308  publisher     = {R. T. Edwards}
12309}
12310
12311@Book{            bhm2000,
12312  author        = {William L. Briggs and Van Emden Henson and Steve F. McCormick},
12313  title         = {A Multigrid Tutorial},
12314  year          = {2000},
12315  publisher     = {SIAM}
12316}
12317
12318@Book{            trottenberg2001multigrid,
12319  title         = {{Multigrid}},
12320  author        = {Trottenberg, U. and Oosterlee, C.W. and Sch{\"u}ller, A.},
12321  isbn          = {012701070X},
12322  year          = {2001},
12323  publisher     = {Academic Press}
12324}
12325
12326@TechReport{      brandt1984,
12327  author        = {Achi Brandt},
12328  title         = {Multigrid Techniques: 1984 Guide with Applications for Fluid Dynamics},
12329  institution   = {Gesellschaft fur Mathematik und Dataenverarbeitung},
12330  number        = {GMD-Studien Nr. 85},
12331  year          = {1984}
12332}
12333
12334@Article{         yavneh1998coarse,
12335  title         = {Coarse-Grid Correction for Nonelliptic and Singular Perturbation Problems},
12336  author        = {Yavneh, I.},
12337  journal       = {SIAM Journal on Scientific Computing},
12338  volume        = {19},
12339  number        = {5},
12340  pages         = {1682--1699},
12341  year          = {1998},
12342  publisher     = {Society for Industrial and Applied Mathematics}
12343}
12344
12345@Article{         wan2003phase,
12346  title         = {A Phase Error Analysis of Multigrid Methods for Hyperbolic Equations},
12347  author        = {Wan, WL and Chan, T.F.},
12348  journal       = {SIAM Journal on Scientific Computing},
12349  volume        = {25},
12350  pages         = {857},
12351  year          = {2003}
12352}
12353
12354@Article{         imex,
12355  author        = {Uri M. Ascher and Steven J. Ruuth and Brian T. R. Wetton},
12356  title         = {Implicit-Explicit Methods for Time-Dependent Partial Differential Equations},
12357  journal       = {SIAM Journel on Numerical Analysis},
12358  volume        = {32},
12359  number        = {3},
12360  pages         = {797--823},
12361  year          = {1995}
12362}
12363
12364@Article{         ow1,
12365  author        = {T. Washio and C. W. Oosterlee},
12366  title         = {Krylov Subspace Acceleration for Nonlinear Multigrid Schemes with Application to
12367                  Recirculating Flow},
12368  journal       = {SIAM Journal on Scientific Computing},
12369  volume        = {21},
12370  number        = {5},
12371  pages         = {1670--1690},
12372  year          = {2000}
12373}
12374
12375@Article{         vm1,
12376  author        = {V. A. Mousseau},
12377  title         = {Implicitly Balanced Solution of the Two-Phase Flow Equations Coupled to Nonlinear
12378                  Heat Conduction},
12379  journal       = {Journal Of Computational Physics},
12380  volume        = {200},
12381  pages         = {104--132},
12382  year          = {2004}
12383}
12384
12385@Article{         vm2,
12386  author        = {V. A. Mousseau},
12387  title         = {A Fully Implicit Hybrid Solution Method for a Two-Phase Thermal-Hydraulic Model},
12388  journal       = {Journal Of Heat Transfer},
12389  volume        = {127},
12390  pages         = {531--539},
12391  year          = {2005}
12392}
12393
12394@Misc{            salome1,
12395  author        = {Laurent Dada and Daniel Caruge},
12396  title         = {The {SALOME} Open Source {CAE} Platform Application to Reactor Physics
12397                  Simulation},
12398  year          = {2005},
12399  url           = {http://conferences.esa.int/05c26/Seminar-2005-09-28-SALOME.pdf},
12400  note          = {Presentation at an ESA/ESTEC conference}
12401}
12402
12403@InProceedings{   downar1,
12404  author        = {D. A. Barber and W. Wang and R. M. Miller and T. J. Downar and H. G. Joe and V.
12405                  A. Mousseau and D. E. Ebert},
12406  title         = {Application of a generalized interface module to the coupling of {PARCS} with
12407                  both {RELAP5} and {TRAC-M}},
12408  booktitle     = {Proceedings of 1999 annual meeting of the American Nuclear Society},
12409  year          = {1999}
12410}
12411
12412@Article{         lopez1,
12413  author        = {A. P. Lopez and J. B. Sandova},
12414  title         = {A methodology for the coupling of {RAMONA-3B} neutron kinetics and {TRAC-BF1}
12415                  thermal-hydraulics},
12416  journal       = {Annals of Nuclear Energy},
12417  volume        = {32(6)},
12418  pages         = {621--634},
12419  year          = {2005}
12420}
12421
12422@InProceedings{   og-1996,
12423  author        = {C. R. E. de Oliveira and A. J. H. Goddard},
12424  title         = {{EVENT}: A Multidimensional Finite Element-Spherical Harmonics Radiation
12425                  Transport Code},
12426  booktitle     = {Proceedings of the OECD International Seminar on 3D Deterministic Radiation
12427                  Transport Codes},
12428  editor        = {},
12429  publisher     = {},
12430  pages         = {},
12431  note          = {Paris, France},
12432  month         = dec,
12433  year          = {1996}
12434}
12435
12436@Article{         wo-2000,
12437  author        = {P. Warner and C. R. E. de Oliveira},
12438  title         = {Verification and Validation of the 3D Finite Element Transport Theory Code
12439                  {EVENT} for Shielding Applications},
12440  journal       = {J. Nucl. Sci. and Tech.},
12441  volume        = {Supplement 1},
12442  pages         = {466--470},
12443  year          = {2000}
12444}
12445
12446@Unpublished{     gnep-web,
12447  author        = {{U.S. Department of Energy}},
12448  title         = {Global Nuclear Energy Partnership ({GNEP})},
12449  note          = {\url{ http://www.gnep.energy.gov}},
12450  year          = {2007}
12451}
12452
12453@Book{            lewis-miller-1984,
12454  author        = {E. E. Lewis and W. F. Miller, Jr.},
12455  title         = {Computational Methods of Neutron Transport},
12456  address       = {},
12457  publisher     = {Wiley},
12458  year          = {1984}
12459}
12460
12461@Article{         couple1,
12462  author        = {J. M. Cook and D. Okrent and D. Satkus and R. B. Lazarus and M. B. Wells},
12463  title         = {{AX-1}, A COMPUTING PROGRAM FOR COUPLED NEUTRONICS-HYDRODYNAMICS CALCULATIONS ON
12464                  THE {IBM-704}},
12465  journal       = {Nuclear Sci. and Eng.},
12466  year          = {1959},
12467  pages         = {113--115},
12468  volume        = {2(1)}
12469}
12470
12471@InProceedings{   weber1,
12472  author        = {D. P. Weber and S. S. Chen and C. Y. Wang and T. Y. C. Wei and S. Jansson},
12473  title         = {Coupled {CFD/CSM} vibration design methodology for generation {IV} long-life fuel
12474                  and component design},
12475  booktitle     = {4th International Conference on Supercomputing in Nuclear Applications},
12476  year          = {2000}
12477}
12478
12479@Misc{            gnep:report,
12480  author        = {Phillip Finck and David Keyes and Rick Stevens},
12481  title         = {{Report on the {DOE} Joint {NE/SC} Workshop Simulation and Modeling for Advanced
12482                  Nuclear Energy Systems}},
12483  year          = {2006}
12484}
12485
12486@Misc{            subsurface-workshop-ref,
12487  author        = {D. {Zachman (Chair)}},
12488  title         = {{Computational Subsurface Sciences Workshop}},
12489  note          = {January 9--12, 2007, Bethesda, MD, see \url{http://subsurface2007.labworks.org/}}
12490}
12491
12492@Misc{            fusion:report,
12493  title         = {{Report of the Fusion Energy Sciences Advisory Committee Burning Plasma Strategy
12494                  Panel}},
12495  author        = {{Fusion Energy Sciences Advisory Committee}},
12496  year          = {2002},
12497  note          = {see \url{http://www.ofes.fusion.doe.gov/More_HTML/FESAC/Austinfinal.pdf}}
12498}
12499
12500@Misc{            hecrtf:report,
12501  title         = {{Report of the High End Computing Revitalization Task Force (HECRTF)}},
12502  key           = {HECRTF},
12503  year          = {2004},
12504  howpublished  = {see \url{http://www.ostp.gov/nstc/html/HECRTF-FINAL_051004.pdf}}
12505}
12506
12507@Misc{            doesc20years,
12508  title         = {{Facilities for the Future of Science: A Twenty-Year Outlook}},
12509  key           = {Office of Science, U.S. Department of Energy},
12510  year          = {2003},
12511  howpublished  = {Office of Science, U.S. Department of Energy, see
12512                  \url{http://www.sc.doe.gov/Scientific_User_Facilities/History/20-Year-Outlook-screen.pdf}}
12513}
12514
12515@PhDThesis{       karpeev-thesis,
12516  author        = {D. A. Karpeyev},
12517  title         = {Geometric Integrators for Hamiltonian PDEs},
12518  school        = {Old Dominion University},
12519  year          = {2002}
12520}
12521
12522@InCollection{    fjp:ima,
12523  author        = {Lori Freitag and Mark Jones and Paul Plassmann},
12524  title         = {The Scalability of Mesh Improvement Algorithms},
12525  booktitle     = {Algorithms for Parallel Processing},
12526  publisher     = {Springer-Verlag},
12527  volume        = {105},
12528  series        = {The IMA Volumes in Mathematics and Its Applications},
12529  editor        = {Michael T.\ Heath and Abhiram Ranade and Robert S.\ Schreiber},
12530  year          = {1998},
12531  pages         = {185--212}
12532}
12533
12534@InProceedings{   poet,
12535  author        = {Rob Armstrong and Alex Cheung},
12536  title         = {{POET} ({P}arallel {O}bject-Oriented {E}nvironment and {T}oolkit) and Frameworks
12537                  for Scientific Distributed Computing},
12538  booktitle     = {Proceedings of {HICSS97}},
12539  year          = {1997}
12540}
12541
12542@Misc{            pseware-web-page,
12543  author        = {},
12544  title         = {{PSEware} {Web} page},
12545  note          = {\url{http://www.extreme.indiana.edu/pseware}, Indiana University},
12546  key           = {{PSEware} {Web} page}
12547}
12548
12549@Article{         epperly2011high,
12550  title         = {High-performance language interoperability for scientific computing through
12551                  {B}abel},
12552  author        = {Epperly, Thomas GW and Kumfert, Gary and Dahlgren, Tamara and Ebner, Dietmar and
12553                  Leek, Jim and Prantl, Adrian and Kohn, Scott},
12554  journal       = {International Journal of High Performance Computing Applications},
12555  pages         = {1094342011414036},
12556  year          = {2011},
12557  publisher     = {SAGE Publications}
12558}
12559
12560@Misc{            babel-web-page,
12561  author        = {Tom Epperly and Tamara Dahlgren and Gary Kumfert},
12562  title         = {{Babel} {Web} page},
12563  note          = {\url{http://www.llnl.gov/CASC/components/babel.html}}
12564}
12565
12566@Misc{            infospheres-web-page,
12567  author        = {K.~M. {Chandy et al.}},
12568  title         = {{Infospheres} {W}eb page},
12569  note          = {\url{http://www.infospheres.caltech.edu}},
12570  key           = {{Infospheres} {Web} page}
12571}
12572
12573@Misc{            hammond,
12574  author        = {Glenn Hammond},
12575  title         = {{Sandia National Laboratory}, {C}omputations on {R}eactive {F}low, private
12576                  communication}
12577}
12578
12579@Misc{            ornl,
12580  author        = {Oak Ridge National Laboratory},
12581  title         = {Private communication via petsc-maint email support}
12582}
12583
12584@Unpublished{     cumulvs-web-page,
12585  author        = {},
12586  title         = {{Cumulvs} {W}eb page},
12587  note          = {http://www.epm.ornl.gov/cs/cumulvs.html},
12588  key           = {{Cumulvs} {W}eb page}
12589}
12590
12591@Article{         nonlineargmres,
12592  author        = {T. Washio and C. W. Oosterlee},
12593  title         = {Krylov Subspace Acceleration for Nonlinear Multigrid Schemes},
12594  journal       = {ETNA},
12595  year          = {1997},
12596  pages         = {271--290},
12597  volume        = {6}
12598}
12599
12600@Article{         pcice,
12601  author        = {Richard C. Martineau and Ray A. Berry},
12602  title         = {The pressure-corrected ICE finite element method for compressible flows on
12603                  unstructured meshes},
12604  journal       = {Journal of Computational Physics},
12605  year          = {2004},
12606  pages         = {659--685},
12607  volume        = {198(2)}
12608}
12609
12610@Article{         cumulvs97,
12611  author        = {G. A. Geist and J. A. Kohl and P. M. Papadopoulos},
12612  title         = {{CUMULVS}: Providing Fault-Tolerance, Visualization, and Steering of Parallel
12613                  Applications},
12614  journal       = {International Journal of Supercomputing Applications},
12615  year          = {1997}
12616}
12617
12618@TechReport{      daly2012interagency,
12619  author        = {John Daly and Bill Harrod and Thuc Hoang and Lucy Nowell and Bob Adolf and
12620                  Shekhar Borkar and Nathan DeBardeleben and Mootaz Elnozahy and Mike Heroux and
12621                  David Rogers and Rob Ross and Vivek Sarkar and Martin Schulz and Marc Snir and
12622                  Paul Woodward},
12623  title         = {Inter-Agency Workshop on HPC Resilience at Extreme Scale},
12624  year          = {2012},
12625  publisher     = {US Department of Defense}
12626}
12627
12628@Article{         karpeev1,
12629  author        = {A. L. Islas and D. A. Karpeev and C. M. Schober},
12630  title         = {Geometric Integrators for the Nonlinear Schr\"odinger Equation},
12631  journal       = {J. Comp. Phys.},
12632  year          = {2001},
12633  pages         = {116--148},
12634  volume        = {173}
12635}
12636
12637@InProceedings{   scirun97,
12638  author        = {S. G. Parker and D. W. Weinstein and C. R. Johnson},
12639  title         = {The {SCIRun} Computational Steering System},
12640  booktitle     = {Modern Software Tools in Scientific Computing},
12641  editor        = {E. Arge and A. M. Bruaset and H. P. Langtangen},
12642  publisher     = {Birkhauser Press},
12643  year          = {1997}
12644}
12645
12646@TechReport{      szyld,
12647  author        = {Valeria Simoncini and Daniel B. Szyld},
12648  title         = { Theory of Inexact Krylov Subspace Methods and Applications to Scientific
12649                  Computing},
12650  year          = {2002},
12651  institution   = {Department of Mathematics, Temple University},
12652  number        = {02-4-12}
12653}
12654
12655@TechReport{      pdelab,
12656  author        = {S. Weerawarana and E. N. Houstis and J. R. Rice and A. C. Catlin and C. Crabill
12657                  and C. C. Chui and S. Markus},
12658  title         = {{PDELab}: An Object-Oriented Framework for Building Problem Solving Environments
12659                  for {PDE} Based Applications},
12660  year          = {1994},
12661  institution   = {Department of Computer Sciences, Purdue University},
12662  number        = {CSD-TR-94-021}
12663}
12664
12665@Unpublished{     ilu-web-page,
12666  author        = {Bill Janssen and Mike Spreitzer and Dan Larner and Chris Jacobi},
12667  title         = {{I}nter-{L}anguage {U}nification Reference Manual},
12668  note          = {ftp://ftp.parc.xerox.com/ilu/ilu.html, Xerox Corporation}
12669}
12670
12671@Unpublished{     doe2k-web-page,
12672  title         = {{DOE2000 Initiative} {W}eb page},
12673  note          = {http://www.mcs.anl.gov/DOE2000},
12674  key           = {DOE2000 Initiative}
12675}
12676
12677@Misc{            pvode-web-page,
12678  title         = {{PVODE} {W}eb Page},
12679  note          = {\url{http://www.llnl.gov/CASC/PVODE}, Lawrence Livermore National Laboratory},
12680  author        = {A. {Hindmarsh et al.}}
12681}
12682
12683@Book{            szyperski97,
12684  author        = {Clemens Szyperski},
12685  title         = {Component Software: Beyond Object-Oriented Programming},
12686  publisher     = {ACM Press},
12687  address       = {New York},
12688  year          = {1997}
12689}
12690
12691@Unpublished{     petsc:coloringuse,
12692  title         = {Code for computing sparse {J}acobians},
12693  note          = {\url{http://www.mcs.anl.gov/petsc/miscellaneous/external.html}},
12694  institution   = {Argonne National Laboratory}
12695}
12696
12697@Unpublished{     petsc:external,
12698  author        = {B. F. {Smith et al.}},
12699  title         = {{External Software Used by PETSc}},
12700  note          = {\url{http://www.mcs.anl.gov/petsc/miscellaneous/external.html}},
12701  institution   = {Argonne National Laboratory}
12702}
12703
12704@Unpublished{     petsc:use-by-external-packages,
12705  author        = {B. F. {Smith et al.}},
12706  title         = {{Software Packages that Use or Interface to PETSc}},
12707  note          = {\url{http://www.mcs.anl.gov/petsc/publications/petscapps.html#packages}},
12708  institution   = {Argonne National Laboratory}
12709}
12710
12711@Unpublished{     petsc:prizes,
12712  author        = {B. F. {Smith et al.}},
12713  title         = {{Prizes Won Using PETSc}},
12714  note          = {\url{http://www.mcs.anl.gov/petsc/publications/prizes.html}},
12715  institution   = {Argonne National Laboratory}
12716}
12717
12718@Unpublished{     petsc:csgf,
12719  author        = {B. F. {Smith et al.}},
12720  title         = {{DOE Computational Science Graduate Fellowship (CSGF) Users of PETSc}},
12721  note          = {\url{http://www.mcs.anl.gov/petsc/publications/prizes.html}},
12722  institution   = {Argonne National Laboratory}
12723}
12724
12725@Unpublished{     flash-web-page,
12726  title         = {{U}niversity of {C}hicago {C}enter on {A}strophysical {T}hermonuclear {F}lashes
12727                  {W}eb Page},
12728  note          = {http://www.asci.uchicago.edu},
12729  author        = {R. {Rosner et al.}},
12730  institution   = {University of Chicago}
12731}
12732
12733@Unpublished{     esi-web-page,
12734  title         = {{E}quation {S}olver {I}nterface {F}orum {W}eb Page},
12735  note          = {http://z.ca.sandia.gov/esi},
12736  author        = {R. {Clay et al.}}
12737}
12738
12739@Unpublished{     infobus-web-page,
12740  title         = {{I}nfo{B}us {W}eb Page},
12741  note          = {http://www.java.sun.com/beans/infobus},
12742  key           = {infobus}
12743}
12744
12745@Unpublished{     xray-web-page,
12746  title         = {{S}upercomputer {S}olution of {M}assive {C}rystallographic and {M}icrotomographic
12747                  {S}tructural {P}roblems {W}eb Page ({DOE} Grand Challenge Project)},
12748  note          = {http://www.mcs.anl.gov/xray/},
12749  institution   = {Argonne National Laboratory}
12750}
12751
12752@InProceedings{   kohn98,
12753  author        = {Andrew Cleary and Scott Kohn and Steven Smith and Brent Smolinski},
12754  title         = {Language Interoperability Mechanisms for High-Performance Scientific
12755                  Applications},
12756  publisher     = {SIAM},
12757  booktitle     = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
12758                  Scientific and Engineering Computing},
12759  year          = {1999},
12760  pages         = {30-39}
12761}
12762
12763@InProceedings{   kohn01,
12764  author        = {Scott Kohn and Gary Kumfert and Jeff Painter and Cal Ribbens},
12765  title         = {Divorcing Language Dependencies from a Scientific Software Library},
12766  publisher     = {SIAM},
12767  booktitle     = {Proceedings of the Tenth SIAM Conference on Parallel Processing},
12768  year          = {2001}
12769}
12770
12771@InProceedings{   freitag_jones_plassmann98,
12772  author        = {Lori Freitag and Mark Jones and Paul Plassmann},
12773  title         = {Component Integration for Unstructured Mesh Algorithms and Software},
12774  publisher     = {SIAM},
12775  booktitle     = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
12776                  Scientific and Engineering Computing},
12777  year          = {1999},
12778  pages         = {215-224}
12779}
12780
12781@Book{            templates,
12782  author        = {R. Barrett and M. Berry and T. F. Chan and J. Demmel and J. Donato and J.
12783                  Dongarra and V. Eijkhout and R. Pozo and C. Romine and H. Van der Vorst },
12784  title         = {Templates for the Solution of Linear Systems: Building Blocks for Iterative
12785                  Methods},
12786  publisher     = {SIAM},
12787  year          = {1994},
12788  address       = {Philadelphia, PA}
12789}
12790
12791@InProceedings{   parasha2,
12792  author        = {M. Parashar and J. C. Browne and C. Edwards and K. Klimkowski},
12793  title         = { A Common Data Management Infrastructure for Parallel Adaptive Algorithms for
12794                  {PDE} Solutions},
12795  booktitle     = {SC97 Proceedings},
12796  publisher     = {IEEE Computer Society Press},
12797  year          = {1997}
12798}
12799
12800@TechReport{      parasha,
12801  author        = {M. Parashar and J. C. Browne},
12802  title         = {{DAGH}: A Data-Management Infrastructure for Parallel Adaptive Mesh Refinement
12803                  Techniques},
12804  institution   = {Department of Computer Science, University of Texas at Austin},
12805  year          = {1995}
12806}
12807
12808@Article{         parti,
12809  author        = {R. Das and M. Uysal and J. Saltz and Y. S. Hwang},
12810  title         = {Communication Optimizations for Irregular Scientific Computations on Distributed
12811                  Memory Architectures},
12812  journal       = {Journal of Parallel and Distributed Computing},
12813  year          = {1994},
12814  volume        = {22},
12815  pages         = {462--478}
12816}
12817
12818@Article{         mparti,
12819  author        = {G. Agrawal and A. Sussman and J. Saltz},
12820  title         = {An Integrated Runtime and Compile-time Approach for Parallelizing Structured and
12821                  Block Structured Applications},
12822  journal       = {IEEE Trans. on Parallel and Distributed Systems},
12823  volume        = {6},
12824  number        = {7},
12825  year          = {1995}
12826}
12827
12828@Article{         gropp-lusk-doss-skjellum,
12829  author        = { William Gropp and Ewing Lusk and Nathan Doss and Anthony Skjellum},
12830  title         = {A high-performance, portable implementation of the {MPI} Message Passing
12831                  Interface standard},
12832  journal       = {Parallel Computing},
12833  year          = {1996},
12834  volume        = {22},
12835  pages         = {789--828}
12836}
12837
12838@InProceedings{   lam,
12839  author        = {Greg Burns and Raja Daoud and James Vaigl},
12840  title         = {{LAM}: An Open Cluster Environment for {MPI}},
12841  booktitle     = {Proceedings of Supercomputing Symposium '94},
12842  editor        = {John W. Ross},
12843  publisher     = {University of Toronto},
12844  pages         = {379--386},
12845  year          = {1994}
12846}
12847
12848@Article{         cs99,
12849  author        = {X.-C. Cai and M. Sarkis},
12850  title         = {A restricted additive {S}chwarz preconditioner for general sparse linear
12851                  systems},
12852  journal       = {SIAM J. Scientific Computing},
12853  year          = {1999},
12854  volume        = {21},
12855  pages         = {792-797}
12856}
12857
12858@Article{         cai2003restricted,
12859  title         = {Restricted additive {S}chwarz preconditioners with harmonic overlap for symmetric
12860                  positive definite linear systems},
12861  author        = {Cai, X.C. and Dryja, M. and Sarkis, M.},
12862  journal       = {SIAM Journal on Numerical Analysis},
12863  volume        = {41},
12864  issue         = {1},
12865  pages         = {1209--1231},
12866  year          = {2003},
12867  doi           = {10.1137/S0036142901389621}
12868}
12869
12870@TechReport{      caisaad,
12871  author        = {Xiao-Chuan Cai and Youcef Saad},
12872  title         = {Overlapping domain decomposition algorithms for general sparse matrices},
12873  institution   = {Army High Performance Computing Research Center, University of Minnesota },
12874  year          = {1993},
12875  number        = {Preprint 93-027 },
12876  note          = {SIAM J. Sci. Comp. (submitted)}
12877}
12878
12879@Book{            ruminations,
12880  author        = {Andrew Koenig and Barbara Moo},
12881  title         = {Ruminations on C++},
12882  year          = {1996},
12883  publisher     = {Addison-Wesley}
12884}
12885
12886@Book{            mpi-complete,
12887  author        = {Marc Snir and Steve Otto and Steven Huss-Lederman and David Walker and Jack
12888                  Dongarra},
12889  title         = {{MPI}: The Complete Reference},
12890  year          = {1995},
12891  publisher     = {MIT Press}
12892}
12893
12894@Unpublished{     tcl-tk-web-page,
12895  title         = {{Tcl/Tk} {W}orld {W}ide {W}eb page},
12896  note          = {http://www.sunlabs.com/research/tcl/},
12897  year          = {1996},
12898  month         = aug
12899}
12900
12901@Misc{            mpich-web-page,
12902  author        = {William Gropp and {et. al.}},
12903  title         = {{MPICH} {W}eb page},
12904  key           = {MPICH},
12905  url           = {http://www.mpich.org},
12906  howpublished  = {\url{http://www.mpich.org}}
12907}
12908
12909@Article{         mpi-final,
12910  author        = {MPI Forum},
12911  title         = {{MPI}: A Message-Passing Interface Standard},
12912  journal       = {International J. Supercomputing Applications},
12913  volume        = {8},
12914  number        = {3/4},
12915  year          = {1994},
12916  key           = {MPI Standard - final}
12917}
12918
12919@Unpublished{     npb-web-page,
12920  key           = {NAS Parallel Benchmarks},
12921  title         = {{NAS} {P}arallel {B}enchmarks {W}eb page},
12922  note          = {http://www.nas.nasa.\-gov/\-NAS/\-NPB/\-index.html},
12923  year          = {1996},
12924  month         = dec
12925}
12926
12927@Book{            george81,
12928  title         = {Computer Solution of Large Sparse Positive Definite Systems},
12929  author        = {Alan George and Joseph W. Liu},
12930  publisher     = {Prentice-Hall},
12931  year          = {1981},
12932  key           = {SparseDirect}
12933}
12934
12935@Book{            p4-book,
12936  title         = {Portable Programs for Parallel Processors},
12937  publisher     = {Holt, Rinehart, {and} Winston},
12938  year          = {1987},
12939  author        = {James Boyle and Ralph Butler and Terrence Disz and Barnett Glickfeld and Ewing
12940                  Lusk and Ross Overbeek and James Patterson and Rick Stevens},
12941  key           = {P4Book}
12942}
12943
12944@Article{         stones,
12945  author        = {H. L. Stone},
12946  title         = {Iterative solution of implicit approximations of multidimensional partial
12947                  differential equations},
12948  journal       = {SIAM J. Numerical Analysis},
12949  pages         = {87--113},
12950  volumne       = {5},
12951  year          = {1968}
12952}
12953
12954@Article{         parallelstones,
12955  author        = {J. S. Reeve and A. D. Scurr and J. H. Merlin},
12956  title         = {Parallel versions of {S}tones strongly implicit algorithm},
12957  journal       = {Concurrency and Computation: Practice and Experience},
12958  pages         = {1049--1062},
12959  volumne       = {13},
12960  year          = {2001}
12961}
12962
12963@Article{         p4-paper,
12964  author        = {Ralph Butler and Ewing Lusk},
12965  title         = {Monitors, Messages, and Clusters: {T}he p4 Parallel Programming System},
12966  journal       = {Journal of Parallel Computing},
12967  note          = {To appear (Also Argonne National Laboratory Mathematics and Computer Science
12968                  Division preprint P362-0493)},
12969  year          = {1993}
12970}
12971
12972@TechReport{      picl,
12973  author        = {G.~A.~Geist and Michael~T.~Heath and B.~W.~Peyton and Patrick~H.~Worley},
12974  title         = {{PICL}: A portable instrumented communications library},
12975  institution   = {Oak Ridge National Laboratory},
12976  number        = {TM-11130},
12977  year          = {1990},
12978  key           = {PICL}
12979}
12980
12981@TechReport{      upshot,
12982  author        = {Virginia Herrarte and Ewing Lusk},
12983  title         = {Studying Parallel Program Behavior with {U}pshot},
12984  institution   = {Argonne National Laboratory},
12985  number        = {ANL-91/15},
12986  month         = aug,
12987  year          = {1991},
12988  key           = {Upshot}
12989}
12990
12991@TechReport{      p4-manual,
12992  author        = {Ralph Butler and Ewing Lusk},
12993  title         = {User's Guide to the p4 Parallel Programming System},
12994  institution   = {Argonne National Laboratory},
12995  number        = {ANL-92/17},
12996  month         = oct,
12997  year          = {1992},
12998  key           = {p4-Manual}
12999}
13000
13001@InProceedings{   oldparti,
13002  author        = {Gagan Agrawal and Alan Sussman and Joel Saltz},
13003  title         = {Compiler and Runtime Support for Unstructured and Block Structured Problems},
13004  booktitle     = {Proceedings of Supercomputing '93},
13005  pages         = {578--587},
13006  year          = {1993}
13007}
13008
13009@Article{         parti2,
13010  author        = {S. S. Mukherjee and S. D. Sharma and M. DF. Hill and J. R. Larus and A. Rogers
13011                  and J. Saltz},
13012  title         = {Efficient Support for Irregular Applications on Distributed Memory Machines},
13013  journal       = {ACM SIGPLAN Notices},
13014  year          = {1995},
13015  pages         = {68-79},
13016  volume        = {30},
13017  number        = {8}
13018}
13019
13020@Article{         parti3,
13021  author        = {J. Saltz and R. Mirchandaney and K. Crowley},
13022  title         = {Run-Time Parallelization and Scheduling of Loops},
13023  journal       = {IEEE Trans. Computers},
13024  year          = {1991},
13025  pages         = {604-612},
13026  volume        = {40},
13027  number        = {5}
13028}
13029
13030@InProceedings{   disz-lusk:wamtrace,
13031  author        = {Terrence Disz and Ewing Lusk},
13032  title         = {A Graphical Tool for Observing the Behavior of Parallel Logic Programs},
13033  booktitle     = {Proceedings of the 1987 Symposium on Logic Programming},
13034  year          = {1987},
13035  pages         = {46--53}
13036}
13037
13038@InProceedings{   gorlick-kesselman:gauge,
13039  author        = {Michael Gorlick and Carl Kesselman},
13040  title         = {Timing {Prolog} programs without Clocks},
13041  booktitle     = {Proceedings of the 1987 Symposium on Logic Programming},
13042  year          = {1996},
13043  publisher     = {Birkhauser}
13044}
13045
13046@TechReport{      aztec,
13047  author        = {Scott A. Hutchinson and John N. Shadid and Ray S. Tuminaro},
13048  title         = {Aztec User's Guide Version 1.1},
13049  institution   = {Sandia National Laboratories},
13050  month         = oct,
13051  year          = {1995},
13052  number        = {SAND95/1559}
13053}
13054
13055@TechReport{      aztec2,
13056  author        = {Ray S. Tuminaro and Micheal Heroux and Scott A. Hutchinson and John N. Shadid},
13057  title         = {Official {Aztec} User's Guide Version 2.1},
13058  institution   = {Sandia National Laboratories},
13059  year          = {1999}
13060}
13061
13062@Book{            taylor-chandy:pcn,
13063  author        = {Chandy, M. and Taylor, S.},
13064  title         = {An Introduction to Parallel Programming},
13065  year          = {1991},
13066  publisher     = {Jones and Bartlett}
13067}
13068
13069@Book{            foster-taylor:strand,
13070  title         = {Strand: New Concepts in Parallel Programming},
13071  author        = {Ian Foster and Stephen Taylor},
13072  publisher     = {Prentice-Hall},
13073  adress        = { Englewood Cliffs, New Jersey},
13074  year          = {1990}
13075}
13076
13077@Article{         aurora,
13078  author        = {E. Lusk and R. Butler and T. Disz and R. Olson and R. Overbeek and R. Stevens and
13079                  D.H.D. Warren and A. Calderwood and P. Szeredi and S. Haridi and P. Brand and M.
13080                  Carlsson and A. Ciepielewski and B. Hausman},
13081  title         = {The Aurora OR-Parallel Prolog System},
13082  journal       = {New Generation Computing},
13083  volume        = {7},
13084  number        = {3},
13085  year          = {1990},
13086  pages         = {243--271}
13087}
13088
13089@TechReport{      roo,
13090  author        = {E. Lusk and W. McCune and J. Slaney},
13091  title         = {Roo---a Parallel Theorem Prover},
13092  institution   = {Argonne National Laboratory},
13093  number        = {MCS--TM--149},
13094  year          = {1991}
13095}
13096
13097@TechReport{      heath-etheridge:vppp,
13098  author        = {M. T. Heath and J. A. Etheridge},
13099  title         = {Visualizing the Performance of Parallel Programs},
13100  institution   = {Oak Ridge National Laboratory},
13101  number        = {ORNL TM-11813},
13102  year          = {1991}
13103}
13104
13105@TechReport{      chem:vis,
13106  author        = {Ewing L. Lusk},
13107  title         = {Performance Visualization for Parallel Programs},
13108  institution   = {Argonne National Laboratory},
13109  number        = {ANL/MCS--P287--0192},
13110  year          = {1991},
13111  note          = {(to appear in {\em Theoretica Chimica Acta})}
13112}
13113
13114@TechReport{      picltrace,
13115  author        = {P.~H.~Worley},
13116  title         = {A new {PICL} trace file format},
13117  institution   = {Oak Ridge National Laboratory},
13118  number        = {ORNL TM-12125},
13119  month         = jun,
13120  year          = {1992}
13121}
13122
13123@InProceedings{   hideo,
13124  author        = {Gary Olsen and Carl Woese and Ray Hagstrom and Hideo Matsuda and Ross Overbeek},
13125  title         = {Inference of Phylogenetic trees using maximum likelihood},
13126  booktitle     = {Proceedings of the First Intel Delta Applications Workshop},
13127  year          = {1992},
13128  pages         = {247--262}
13129}
13130
13131@InProceedings{   dw90,
13132  author        = {M. Dryja and O. Widlund},
13133  title         = {Towards a Unified Theory of Domain Decomposition Algorithms for Elliptic
13134                  Problems},
13135  booktitle     = {Third International Symposium on Domain Decomposition Methods},
13136  editor        = {T. F. Chan and R. Glowinski and J. P\'eriaux and O. B. Widlund},
13137  year          = {1990},
13138  pages         = {3-21},
13139  publisher     = {SIAM},
13140  address       = {Philadelphia},
13141  annote        = {Additive {S}chwarz. Surveys recent (1989) results; some comments on 3-d and how
13142                  many approaches may be cast in the form of additive {S}chwarz-subspace form. 58
13143                  references, good introduction to the theory. No computations},
13144  key           = {DryjaWidlund90 !AS}
13145}
13146
13147@Unpublished{     rosing,
13148  author        = {Matt Rosing and Joel Saltz},
13149  title         = {Low Latency Messages on Distributed Memory Multiprocessors},
13150  key           = {LowLatency},
13151  note          = {manuscript, 1992}
13152}
13153
13154@TechReport{      jp:incomplete,
13155  author        = {Mark T. Jones and Paul E. Plassmann},
13156  title         = {An Improved Incomplete {C}holesky Factorization},
13157  institution   = {Argonne National Laboratory},
13158  address       = {Argonne, IL},
13159  type          = {Preprint},
13160  note          = {(to appear in {\em ACM Trans. on Mathematical Software, 1995})},
13161  number        = {MCS-P206-0191},
13162  year          = {1991},
13163  key           = {jones}
13164}
13165
13166@InCollection{    jp:ima,
13167  author        = {Mark Jones and Paul Plassmann},
13168  title         = {The Efficient Parallel Iterative Solution of Large Sparse Linear Systems},
13169  booktitle     = {Graph Theory and Sparse Matrix Computation},
13170  publisher     = {Springer-Verlag},
13171  series        = {The IMA Volumes in Mathematics and Its Applications},
13172  editor        = {Alan George and John Gilbert and Joseph W.H.~Liu},
13173  volume        = {56},
13174  year          = {1993},
13175  pages         = {229--245}
13176}
13177
13178@Article{         pw98,
13179  author        = {M. Pernice and H. F. Walker},
13180  title         = {{NITSOL}: A {Newton} Iterative Solver for Nonlinear Systems},
13181  journal       = {SIAM J. Sci. Stat. Comput.},
13182  year          = {1998},
13183  volume        = {19},
13184  pages         = {302--318}
13185}
13186
13187@TechReport{      ysmp83,
13188  key           = {Eisenstat},
13189  author        = {S.~C.~Eisenstat and H.~C.~Elman and M.~H.~Schultz and A.~H.~Sherman},
13190  title         = {The (New) {Y}ale {S}parse {M}atrix {P}ackage},
13191  institution   = {Department of Computer Science, Yale University},
13192  number        = {YALE/DCS/RR-265},
13193  month         = apr,
13194  year          = {1983}
13195}
13196
13197@InBook{          ysmp84,
13198  author        = {S.~C.~Eisenstat and H.~C.~Elman and M.~H.~Schultz and A.~H.~Sherman},
13199  chaptertitle  = {The (New) {Y}ale {S}parse {M}atrix {P}ackage},
13200  title         = {Elliptic Problem Solvers II},
13201  publisher     = {Academic Press},
13202  pages         = {45--52},
13203  editors       = {G. Birkhoff and A. Schoenstadt},
13204  year          = {1984}
13205}
13206
13207@TechReport{      sparsekit,
13208  key           = {Saad},
13209  author        = {Youcef Saad},
13210  title         = {{SPARSKIT}, a basic tool kit for sparse matrix computations},
13211  institution   = {Center for Supercomputing Research and Development, University of Illinois at
13212                  Urbana-Champaign},
13213  number        = {1029},
13214  year          = {1990}
13215}
13216
13217@TechReport{      pde-user-ref,
13218  author        = {Barry F. Smith},
13219  title         = {Extensible {PDE} Solvers Package Users Manual},
13220  institution   = {Argonne National Laboratory},
13221  month         = sep,
13222  year          = {1994},
13223  number        = {ANL-93/40},
13224  key           = {Smith94 ! PDE}
13225}
13226
13227@TechReport{      bs-user-ref,
13228  author        = {Mark T. Jones and Paul E. Plassmann},
13229  title         = {{BlockSolve95} Users Manual: Scalable Library Software for the Parallel Solution
13230                  of Sparse Linear Systems},
13231  institution   = {Argonne National Laboratory},
13232  month         = dec,
13233  year          = {1995},
13234  number        = {ANL-95/48}
13235}
13236
13237@TechReport{      snes-user-ref,
13238  author        = {William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
13239  title         = {Using the {S}calable {N}onlinear {E}quations {S}olvers Package},
13240  institution   = {Argonne National Laboratory},
13241  month         = feb,
13242  year          = {1995},
13243  number        = {ANL/MCS-TM-193},
13244  key           = {GroppMcInnesSmith95 ! SNES}
13245}
13246
13247@TechReport{      sles-user-ref,
13248  author        = {William D. Gropp and Barry F. Smith},
13249  title         = {{S}implified {L}inear {E}quation {S}olvers Users Manual},
13250  institution   = {Argonne National Laboratory},
13251  month         = mar,
13252  year          = {1993},
13253  number        = {ANL-93/8},
13254  key           = {GroppSmith93 ! SLES}
13255}
13256
13257@TechReport{      chameleon-user-ref,
13258  author        = {William D. Gropp and Barry F. Smith},
13259  title         = {Chameleon Parallel programming tools Users Manual},
13260  institution   = {Argonne National Laboratory},
13261  month         = mar,
13262  year          = {1993},
13263  number        = {ANL-93/23},
13264  key           = {GroppSmith93 ! Chameleon}
13265}
13266
13267@Article{         euclid2,
13268  author        = {D. Hysom and A. Pothen},
13269  title         = {A Scalable Parallel Algorithm For Incomplete Factor Preconditioning},
13270  journal       = {SIAM J. Sci. Comput.},
13271  volume        = {22},
13272  number        = {6},
13273  pages         = {2194--2215}
13274}
13275
13276@TechReport{      euclid1,
13277  author        = {D. Hysom and A. Pothen},
13278  title         = {Euclid User Manual (A Scalable {ILU} Preconditioning Library for the Parallel
13279                  Solution of Sparse Linear Systems)},
13280  institution   = {Old Dominion University},
13281  year          = {2001}
13282}
13283
13284@TechReport{      ksp-user-ref,
13285  author        = {William D. Gropp and Barry F. Smith},
13286  title         = {Users Manual for {KSP}: Data-Structure-Neutral Codes Implementing {K}rylov Space
13287                  Methods},
13288  institution   = {Argonne National Laboratory},
13289  month         = aug,
13290  year          = {1993},
13291  number        = {ANL-93/30},
13292  key           = {GroppSmith93 ! KSP}
13293}
13294
13295@TechReport{      mpi-chameleon,
13296  author        = {William D. Gropp and Ewing Lusk},
13297  title         = {A Test Implementation of the {MPI} Draft Message-Passing Standard},
13298  institution   = {Argonne National Laboratory},
13299  month         = dec,
13300  year          = {1992},
13301  number        = {ANL-92/47},
13302  key           = {GroppLusk92 ! MPI}
13303}
13304
13305@TechReport{      blockcomm-fortran,
13306  author        = {William D. Gropp},
13307  title         = {Block{C}omm for {F}ortran},
13308  institution   = {Argonne National Laboratory},
13309  month         = may,
13310  year          = {1993},
13311  number        = {ANL-93/00 (to appear)},
13312  key           = {Gropp93 ! BlockComm}
13313}
13314
13315@TechReport{      autodocument,
13316  author        = {William D. Gropp},
13317  title         = {Automatic documentation of {C} programs},
13318  institution   = {Argonne National Laboratory},
13319  month         = may,
13320  year          = {1993},
13321  number        = {ANL-93/00},
13322  key           = {Gropp93 ! Autodoc}
13323}
13324
13325@TechReport{      zipcode,
13326  author        = {Anthony Skjellum and Steven G. Smith and Charles H Still and Alvin P. Leung and
13327                  Manfred Morari},
13328  title         = {The {Z}ipcode message-passing system},
13329  institution   = {Lawrence Livermore National Laboratory},
13330  month         = sep,
13331  year          = {1992},
13332  number        = {Unpublished},
13333  key           = {Skjellum92 ! Zipcode}
13334}
13335
13336@Article{         paragraph,
13337  author        = {Michael T. Heath and Jennifer Etheridge Finger},
13338  title         = {Visualizing performance of parallel programs},
13339  journal       = {IEEE Software},
13340  volume        = {8},
13341  number        = {5},
13342  month         = sep,
13343  year          = {1991},
13344  pages         = {29--39},
13345  key           = {Heath91 ! Paragraph}
13346}
13347
13348@Article{         gropp90,
13349  author        = {William Gropp and Edward Smith},
13350  title         = {Computational Fluid Dynamics on Parallel Processors},
13351  journal       = {Computers and Fluids},
13352  volume        = {18},
13353  year          = {1990},
13354  pages         = {289--304},
13355  key           = {Gropp90 ! performance}
13356}
13357
13358@Article{         foster92,
13359  author        = {Ian Foster and William Gropp and Rick Stevens},
13360  title         = {The parallel scalability of the spectral transform method},
13361  journal       = {Monthly Weather Review},
13362  volume        = {120},
13363  year          = {1992},
13364  pages         = {835--850},
13365  key           = {Foster92 ! performance}
13366}
13367
13368@InBook{          fgn,
13369  author        = {R. Freund and G. H. Golub and N. Nachtigal},
13370  title         = {Iterative Solution of Linear Systems},
13371  series        = {Acta Numerica},
13372  year          = {1992},
13373  publisher     = {Cambridge University Press},
13374  pages         = {57--100}
13375}
13376
13377@TechReport{      nachtigal90,
13378  author        = {No{\"e}l M. Nachtigal and Satish C. Reddy and Lloyd N. Trefethen},
13379  title         = {How Fast are Nonsymmetric Matrix Iterations?},
13380  institution   = {Massachusetts Institute of Technology},
13381  month         = mar,
13382  year          = {1990},
13383  number        = {90-2},
13384  key           = {Nachtigal | Krylov}
13385}
13386
13387@Article{         nachtigal1992fnm,
13388  title         = {How Fast are Nonsymmetric Matrix Iterations?},
13389  author        = {Nachtigal, N.M. and Reddy, S.C. and Trefethen, L.N.},
13390  journal       = {SIAM Journal on Matrix Analysis and Applications},
13391  volume        = {13},
13392  pages         = {778},
13393  year          = {1992},
13394  publisher     = {SIAM}
13395}
13396
13397@TechReport{      embree1999descriptive,
13398  title         = {How descriptive are {GMRES} convergence bounds},
13399  author        = {Embree, M.},
13400  year          = {1999},
13401  number        = {08},
13402  institution   = {Oxford University Computing Laboratory}
13403}
13404
13405@Article{         vorst92,
13406  author        = {H. van der Vorst},
13407  title         = {Bi-{CGSTAB}: A fast and smoothly converging variant of {Bi-CG} for the solution
13408                  of nonsymmetric linear systems},
13409  journal       = {SIAM J. Sci. Stat. Comput.},
13410  year          = {1992},
13411  volume        = {13},
13412  pages         = {631--644}
13413}
13414
13415@Article{         eisenstat81,
13416  author        = {S. Eisenstat},
13417  title         = {Efficient Implementation of a Class of {CG} Methods},
13418  journal       = {SIAM J. Sci. Stat. Comput.},
13419  year          = {1981},
13420  volume        = {2},
13421  pages         = {1--4}
13422}
13423
13424@Manual{          ibm-essl,
13425  title         = {{E}ngineering and {S}cientific {S}ubroutine {L}ibrary Version 2: Guide and
13426                  Reference},
13427  organization  = {IBM},
13428  year          = {1992},
13429  key           = {IBM-ESSL}
13430}
13431
13432@Manual{          ibm-eui,
13433  title         = {{IBM} {AIX} Parallel Environment Parallel Programming Subroutine Reference
13434                  Release 2.0},
13435  organization  = {IBM},
13436  month         = jun,
13437  year          = {1994},
13438  key           = {IBM-EUI}
13439}
13440
13441@Manual{          ibm-euih,
13442  title         = {Using {EUIH}: An Experimental {EUI} Implementation},
13443  organization  = {IBM},
13444  author        = {Peter Hochschild},
13445  year          = {1993},
13446  key           = {IBM-EUIH}
13447}
13448
13449@TechReport{      mpi,
13450  title         = {Document for a Standard Message-Passing Interface},
13451  author        = {Message Passing Interface Forum},
13452  institution   = {University of Tennessee},
13453  number        = {CS-93-214},
13454  month         = nov,
13455  year          = {1993},
13456  key           = {MPI Standard}
13457}
13458
13459@Unpublished{     mpi-final-web,
13460  author        = {Message Passing Interface Forum},
13461  title         = {{MPI}: A Message-Passing Interface Standard},
13462  note          = {http://www.mcs.anl.gov/mpi/mpi-report/mpi-report.html},
13463  year          = {1994},
13464  month         = may
13465}
13466
13467@Book{            hockney-jesshope,
13468  author        = {R. W. Hockney and C. R. Jesshope},
13469  title         = {Parallel Computers 2},
13470  publisher     = {Adam Hilger},
13471  year          = {1988}
13472}
13473
13474@Book{            cm-fortran,
13475  author        = {{Thinking Machines Corporation}},
13476  title         = {Users Manual for CM-Fortran},
13477  publisher     = {Thinking Machines Corporation},
13478  year          = {1993}
13479}
13480
13481@TechReport{      chang93,
13482  title         = {Experiments and Bounds on Block Diagonal Preconditioning},
13483  author        = {Mark Yan-Ming Chang and Martin H. Schultz},
13484  institution   = {Yale Department of Computer Science},
13485  number        = {YALEU/DCS/RR-994},
13486  month         = nov,
13487  year          = {1993},
13488  key           = {BDD|diag}
13489}
13490
13491@InProceedings{   gropplevine93,
13492  author        = {N. Galbreath and W. Gropp and D. Levine},
13493  title         = {Applications-Driven Parallel {I/O}},
13494  booktitle     = {Proceedings of Supercomputing '93},
13495  year          = {1993},
13496  pages         = {462--471}
13497}
13498
13499@Book{            siegle85,
13500  author        = {H. J. Siegel},
13501  title         = {Interconnection Networks for Large Scale Parallel Processing},
13502  publisher     = {Lexington Books},
13503  year          = {1985},
13504  key           = {Network Comparison}
13505}
13506
13507@Article{         lawrie75,
13508  author        = {D. H. Lawrie},
13509  title         = {Access and alignment of data in an array processor},
13510  journal       = {IEEE Transactions on Computers},
13511  volume        = {C-24},
13512  number        = {12},
13513  month         = dec,
13514  year          = {1975},
13515  pages         = {1145--1155},
13516  key           = {Omega Network}
13517}
13518
13519@Book{            knuth1986,
13520  title         = {The {\TeX}{Book}},
13521  author        = {Donald Ervin Knuth and Duane Bibby},
13522  volume        = {1993},
13523  year          = {1986},
13524  publisher     = {Addison-Wesley Reading, Massachusetts}
13525}
13526
13527@Book{            lamport86,
13528  author        = {Leslie Lamport},
13529  title         = {{LaTeX}: A document preparation system},
13530  publisher     = {Addison-Wesley},
13531  year          = {1986},
13532  key           = {Latex Manual}
13533}
13534
13535@InProceedings{   gropp-lusk:unix-tools,
13536  author        = {William Gropp and Ewing Lusk},
13537  title         = {Scalable {U}nix Tools on Parallel Processors},
13538  booktitle     = {Proceedings of the 1994 Scalable High Performanc Computing Conference},
13539  publisher     = {IEEE},
13540  pages         = {56--62}
13541}
13542
13543@InProceedings{   jp:bell_prize,
13544  author        = {Mark Jones and Paul Plassmann},
13545  title         = {Solution of Large, Sparse Systems of Linear Equations in Massively Parallel
13546                  Applications},
13547  booktitle     = {Proceedings of Supercomputing '92},
13548  publisher     = {IEEE Computer Society Press},
13549  year          = {1992},
13550  pages         = {551--560}
13551}
13552
13553@COMMENT{WEB, CWEB references (for doctext)}
13554@TechReport{      web,
13555  author        = {Donald E. Knuth},
13556  title         = {The {\tt WEB} system of structured documentation},
13557  institution   = {Computer Science Department, Stanford University},
13558  year          = {1983},
13559  number        = {980},
13560  month         = sep
13561}
13562
13563@Article{         literatepgm,
13564  author        = {Donald E. Knuth},
13565  title         = {Literate Programming},
13566  journal       = {Computer Journal},
13567  year          = {1984},
13568  volume        = {27},
13569  number        = {2},
13570  pages         = {91--111}
13571}
13572
13573@Unpublished{     cweb-code,
13574  author        = {Silvio Levy and Donald E. Knuth},
13575  title         = {CWEB},
13576  note          = {CWEB is available at ftp://pip.shsu.edu/tex-archive/web/c\_cpp/cweb}
13577}
13578
13579@Article{         jp:scalable,
13580  author        = {Mark Jones and Paul Plassmann},
13581  title         = {Scalable Iterative Solution of Sparse Linear Systems},
13582  journal       = {Parallel Computing},
13583  volume        = {20},
13584  number        = {5},
13585  month         = may,
13586  year          = {1994},
13587  pages         = {753--773}
13588}
13589
13590@Article{         jp:pcolor,
13591  author        = {Mark T. Jones and Paul E. Plassmann},
13592  title         = {A Parallel Graph Coloring Heuristic},
13593  journal       = {SIAM J. Sci. Comput.},
13594  volume        = {14},
13595  number        = {3},
13596  pages         = {654-669},
13597  year          = {1993}
13598}
13599
13600@TechReport{      block_solve,
13601  author        = {Mark T. Jones and Paul E. Plassmann},
13602  title         = {{B}lock{S}olve v1.1: Scalable Library Software for the Parallel Solution of
13603                  Sparse Linear Systems},
13604  institution   = {Argonne National Laboratory},
13605  year          = {1992},
13606  number        = {ANL-92/46},
13607  key           = {JonesPlassmann92 ! block_solve}
13608}
13609
13610@InProceedings{   supercond,
13611  author        = {Lois Curfman Mc{I}nnes and Mario Palumbo},
13612  title         = {Parallel Solution of the Anisotropic {G}inzburg-{L}andau Model},
13613  booktitle     = {Proceedings of the Toward Teraflop Computing and New Grand Challenge Applications
13614                  Conference},
13615  month         = feb,
13616  year          = {1994},
13617  key           = {McInnesPalumbo94 ! superconductivity }
13618}
13619
13620@Unpublished{     preosti:93,
13621  author        = {Gianfranco Preosti},
13622  title         = { },
13623  note          = {Unpublished information, {P}hysics {D}epartment, {P}urdue {U}niversity},
13624  year          = {1993},
13625  key           = {preosti93 ! GL-tilt3d}
13626}
13627
13628@Unpublished{     more:93,
13629  author        = {Jorge J. Mor\'{e}},
13630  title         = { },
13631  note          = {Unpublished information, {M}athematics and {C}omputer {S}cience {D}ivision,
13632                  {A}rgonne {N}ational {L}aboratory},
13633  year          = {1993},
13634  key           = {more93 ! MINPACK-2}
13635}
13636
13637@Article{         brownsaad:90,
13638  author        = {Peter N. Brown and Youcef Saad},
13639  title         = {Hybrid {K}rylov Methods for Nonlinear Systems of Equations},
13640  journal       = {SIAM J. Sci. Stat. Comput.},
13641  year          = {1990},
13642  volume        = {11},
13643  pages         = {450-481}
13644}
13645
13646@Book{            using-mpi,
13647  author        = {William Gropp and Ewing Lusk and Anthony Skjellum},
13648  title         = {Using MPI: Portable Parallel Programming with the Message Passing Interface},
13649  publisher     = {MIT Press},
13650  year          = {1994}
13651}
13652
13653@Book{            using-mpi2,
13654  author        = {William Gropp and Ewing Lusk and Rajeev Thakur},
13655  title         = {Using MPI 2: Advanced Features of the Message Passing Interface},
13656  publisher     = {MIT Press},
13657  year          = {1999}
13658}
13659
13660@Article{         hs:52,
13661  author        = {Magnus R. Hestenes and Eduard Steifel},
13662  title         = {Methods of Conjugate Gradients for Solving Linear Systems},
13663  journal       = {J. Research of the National Bureau of Standards},
13664  year          = {1952},
13665  volume        = {49},
13666  pages         = {409-436}
13667}
13668
13669@Article{         so:89,
13670  author        = {Peter Sonneveld},
13671  title         = {{CGS}, A Fast {L}anczos-type Solver for Nonsymmetric Linear Systems},
13672  journal       = {SIAM J. Sci. Stat. Comput.},
13673  year          = {1989},
13674  volume        = {10},
13675  pages         = {36-52}
13676}
13677
13678@Article{         v:92,
13679  author        = {{H. A.} {van der Vorst}},
13680  title         = {{B}i{CGSTAB}: A fast and smoothly converging variant of {B}i{CG} for the solution
13681                  of nonsymmetric linear systems},
13682  journal       = {SIAM J. Sci. Stat. Comput.},
13683  volume        = {13},
13684  year          = {1992},
13685  pages         = {631-644}
13686}
13687
13688@Article{         f:93,
13689  author        = {Roland W. Freund},
13690  title         = {A Transpose-Free Quasi-Minimal Residual Algorithm for Non-{H}ermitian Linear
13691                  Systems},
13692  journal       = {SIAM J. Sci. Stat. Comput.},
13693  volume        = {14},
13694  year          = {1993},
13695  pages         = {470-482}
13696}
13697
13698@Article{         ish:89,
13699  author        = {S. Ishizuka},
13700  title         = {An Experimental Study on Extinction and Stablity of Tubular Flames},
13701  journal       = {Combustion and Flame},
13702  volume        = {75},
13703  year          = {1989},
13704  pages         = {367-379}
13705}
13706
13707@Book{            williams89,
13708  title         = {Combustion Theory, The Fundamental Theory of Chemically Reacting Flow Systems},
13709  author        = {F.A. Williams},
13710  publisher     = {Addison-Wesley},
13711  year          = {1989},
13712  pages         = {367-379}
13713}
13714
13715@Book{            ra75,
13716  author        = {R. Aris},
13717  title         = {The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts},
13718  publisher     = {Oxford},
13719  year          = {1975}
13720}
13721
13722@Book{            bebernes89,
13723  author        = {J. Bebernes and D. Eberly},
13724  title         = {Mathematical Problems from Combustion Theory},
13725  publisher     = {Springer-Verlag},
13726  series        = {Applied Mathematical Sciences 83},
13727  year          = {1989}
13728}
13729
13730@InProceedings{   kikuchi89,
13731  author        = {F. Kikuchi},
13732  booktitle     = { Computing Methods in Applied Sciences and Engineering},
13733  editor        = {R. Glowinski and J. L. Lions},
13734  publisher     = {Springer-Verlag},
13735  series        = {Lecture Notes in Mathematics},
13736  title         = {Finite element approximations to bifurcation problems of turning point type},
13737  year          = {1977}
13738}
13739
13740@Article{         rg85,
13741  author        = {R. Glowinski and H.B. Keller and L. Reinhart},
13742  title         = {Continuation-conjugate Gradient Methods for the Least Squares Solution of
13743                  Nonlinear Boundary Problems},
13744  journal       = {SIAM J. Sci. Stat. Comput.},
13745  volume        = {6},
13746  year          = {1985},
13747  pages         = {793-832}
13748}
13749
13750@InProceedings{   whitfield91,
13751  author        = {D. Whitfield and L. Taylor},
13752  title         = {Discretized {N}ewton-Relaxation Solution of High Resolution Flux-Difference Split
13753                  Schemes},
13754  booktitle     = {Proceedings of the AIAA Tenth Computational Fluid Dynamics Conference},
13755  misc          = {AIAA-91-1539},
13756  pages         = {134-145},
13757  year          = {1991}
13758}
13759
13760@InProceedings{   quinlan1,
13761  author        = {M. Lemke and D. Quinlan},
13762  title         = {P++, a {C}++ Virtual Shared Grids Based Programming Environment for
13763                  Architecture-Independent Development of Structured Grid Applications},
13764  booktitle     = {CONPAR/VAPP V, Lecture Notes in Computer Science},
13765  publisher     = {Springer Verlag},
13766  year          = {1992}
13767}
13768
13769@InProceedings{   quinlan2,
13770  author        = {R. Parsons and D. Quinlan},
13771  title         = {A++/{P}++ Array Classes for Architecture Independent Finite Difference
13772                  Computations},
13773  booktitle     = {Proceedings of the Second Annual Object-Oriented Numerics Conference},
13774  year          = {1994}
13775}
13776
13777% *****  Overview of functionality in Diffpack
13778@InBook{          dpoverview,
13779  author        = {Bruaset, A. M. and Langtangen, H. P.},
13780  booktitle     = {Mathematical Models and Software Tools in Industrial Mathematics},
13781  title         = {A Comprehensive Set of Tools for Solving Partial Differential Equations;
13782                  {Diffpack}},
13783  publisher     = {Birkh{\"{a}}user},
13784  pages         = {61--90},
13785  year          = {1997}
13786}
13787
13788% *****  Short overview of Diffpack
13789@InCollection{    dpoverview2,
13790  author        = {Bruaset, A. M. and Langtangen, H. P.},
13791  editor        = {A. Sydow},
13792  booktitle     = {Proceedings of the 15th IMACS World Congress on Scientific Computation, Modelling
13793                  and Applied Mathematics},
13794  title         = {Diffpack: A Software Environment for Rapid Prototyping of {PDE} Solvers},
13795  pages         = {553--558},
13796  volume        = {4},
13797  year          = {1997}
13798}
13799
13800% *****  Comprehensive documentation of Diffpack and
13801%        associated numerical methods:
13802@Book{            dpbook,
13803  author        = {H. P. Langtangen},
13804  title         = {Numerical Solution of Partial Differential Equations; Models, Algorithms and
13805                  Software. Part I},
13806  series        = {Lecture Notes in Computational Science and Engineering},
13807  publisher     = {Springer-Verlag},
13808  year          = {1998}
13809}
13810
13811% *****  Design issues of the linear solvers in Diffpack, serves also as a
13812%        collection of examples on O-O in numerical computing
13813@Article{         ambhpl97a,
13814  author        = {A. M. Bruaset and H. P. Langtangen },
13815  title         = {Object-Oriented Design of Preconditioned Iterative Methods in {Diffpack}},
13816  journal       = {Transactions on Mathematical Software},
13817  volume        = {23 },
13818  pages         = {50--80},
13819  year          = {1997}
13820}
13821
13822@Misc{            dpurl,
13823  author        = {{Diffpack Web page}},
13824  howpublished  = {\url{http://www.diffpack.com}}
13825}
13826
13827% *****  General intro to object-oriented numerics for "FORTRAN programmers"
13828@InCollection{    oonintro,
13829  author        = {Arge, E. and Bruaset, A. M. and H. P. Langtangen},
13830  editor        = {D{\ae}hlen, M. and Tveito, A.},
13831  booktitle     = {Mathematical Models and Software Tools in Industrial Mathematics},
13832  title         = {Object-Oriented Numerics},
13833  publisher     = {Birkh{\"{a}}user},
13834  year          = {1997}
13835}
13836
13837% *****  Efficiency comparison: BLAS 1, Diffpack, C,
13838%        and finite element applications (F77 vs Diffpack)
13839@InCollection{    dpefficiency,
13840  author        = {Arge, E. and Bruaset, A. M. and Calvin, P. B. and Kanney, J. F. and Langtangen,
13841                  H. P. and Miller, C. T.},
13842  editor        = {D{\ae}hlen, M. and Tveito, A.},
13843  booktitle     = {Mathematical Models and Software Tools in Industrial Mathematics},
13844  title         = {On the Efficiency of {C++} in Scientific Computing},
13845  publisher     = {Birkh{\"{a}}user},
13846  pages         = {91--118},
13847  year          = {1997}
13848}
13849
13850% ***** Parallel concept in Diffpack:
13851@InCollection{    dpparallel,
13852  author        = {A.~M.~Bruaset and X. Cai and H. P. Langtangen and A. Tveito},
13853  editor        = {Y. Ishikawa and R. R. Oldehoeft and J. V. W. Reynders and M. Tholburn},
13854  booktitle     = {Scientific Computing in Object-Oriented Parallel Environments},
13855  title         = {Numerical Solution of {PDE}s on Parallel Computers Utilizing Sequential
13856                  Simulators},
13857  publisher     = {Springer--Verlag},
13858  series        = {Lecture Notes in Computer Science},
13859  pages         = {161--168},
13860  year          = {1997}
13861}
13862
13863% ***** DD and ML methods in Diffpack:
13864@InCollection{    dpddml,
13865  author        = {A.~M.~Bruaset and H. P. Langtangen and G. W. Zumbusch},
13866  editor        = {P. Bj{\o}rstad and M. Espedal and D. Keyes},
13867  booktitle     = {Proceedings of the 9th Conference on Domain Decomposition},
13868  title         = {Domain decomposition and multilevel methods in Diffpack},
13869  year          = {1997}
13870}
13871
13872@InProceedings{   bsca98,
13873  author        = {David L. Bruhwiler and Svetlana G. Shasharina and John R. Cary and David
13874                  Alexander},
13875  title         = {Design and Implementation of an Object Oriented C++ Library for Nonlinear
13876                  Optimization},
13877  booktitle     = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
13878                  Scientific and Engineering Computing},
13879  editor        = {Mike Henderson et al.},
13880  pages         = {165-173},
13881  year          = {1998}
13882}
13883
13884@Book{            scalapack-user-guide,
13885  author        = {L. S. Blackford and J. Choi and A. Cleary and E. D'Azevedo and J. Demmel and I.
13886                  Dhillon and J. Dongarra and S. Hammarling and G. Henry and A. Petitet and K.
13887                  Stanley and D. Walker and R. C. Whaley},
13888  title         = {Sca{LAPACK} Users' Guide},
13889  publisher     = {SIAM},
13890  address       = {Philadelphia, PA},
13891  year          = {1997}
13892}
13893
13894@InProceedings{   keyes99,
13895  author        = {D. E. Keyes},
13896  title         = {How Scalable is Domain Decomposition in Practice?},
13897  booktitle     = {Proceedings of the 11th International Conference on Domain Decomposition
13898                  Methods},
13899  editor        = {C.-H. Lai et al.},
13900  publisher     = {Domain Decomposition Press, Bergen},
13901  note          = {To appear},
13902  year          = {1999}
13903}
13904
13905@Article{         fun3d,
13906  author        = {W. K. Anderson and D. L. Bonhaus},
13907  title         = {An implicit upwind algorithm for computing turbulent flows on unstructured
13908                  grids},
13909  journal       = {Computers and Fluids},
13910  year          = {1994},
13911  volume        = {23},
13912  pages         = {1--21}
13913}
13914
13915% -------------------------------------------------------------------------
13916% -------------------------------------------------------------------------
13917@Article{         torczon,
13918  author        = {Dennis, Jr., J. E. and V.~Torczon},
13919  title         = {Direct Search Methods on Parallel Machines},
13920  journal       = {SIAM J. Optimization},
13921  volume        = {1},
13922  pages         = {448--474},
13923  year          = {1991},
13924  key           = {Torczon !PDS}
13925}
13926
13927@InProceedings{   wt91,
13928  author        = {D. L. Whitfield and L. K. Taylor},
13929  title         = {Discretized {N}ewton-Relaxation Solution of High Resolution Flux-Difference Split
13930                  Schemes},
13931  booktitle     = {Proceedings of the AIAA Tenth Annual Computational Fluid Dynamics Conference},
13932  misc          = {AIAA-91-1539},
13933  pages         = {134-145},
13934  year          = {1991}
13935}
13936
13937@Article{         ew96,
13938  author        = {S. C. Eisenstat and H. F. Walker},
13939  title         = {Choosing the forcing terms in an inexact {N}ewton method},
13940  journal       = {SIAM J. Scientific Computing},
13941  volume        = {17},
13942  year          = {1996},
13943  pages         = {16--32}
13944}
13945
13946@Book{            thi93,
13947  author        = {{Thinking Machines Corporation}},
13948  title         = {Users Manual for CM-Fortran},
13949  publisher     = {Thinking Machines Corporation},
13950  year          = {1993}
13951}
13952
13953@Book{            mortonmayers94,
13954  author        = {K. W. Morton and D. F. Mayers},
13955  title         = {Numerical Solution of Partial Differential Equations},
13956  publisher     = {Press Syndicate of the University of Cambridge},
13957  year          = {1994}
13958}
13959
13960@Book{            heath97,
13961  author        = {Michael T. Heath},
13962  title         = {Scientific Computing: An Introductory Survey},
13963  publisher     = {McGraw Hill},
13964  year          = {1997}
13965}
13966
13967@Article{         captools96,
13968  author        = {C. S. Ierotheou and S. P Johnson and M. Cross and P. F. Leggett},
13969  title         = {Computer Aided Parallelization Tools ({CAPTools}) - Conceptual Overview and
13970                  Performance on the Parallelization of Structured Mesh Codes},
13971  journal       = {Parallel Computing},
13972  volume        = {22},
13973  pages         = {197-226},
13974  year          = {1996}
13975}
13976
13977@Misc{            nastran-web-page,
13978  author        = {{MSC Software Corporation}},
13979  title         = {{NASTRAN} {W}eb page},
13980  howpublished  = {\url{http://www.mechsolutions.com/products/nastran/}},
13981  year          = {2024}
13982}
13983
13984@Book{            hpf,
13985  author        = {C. H. Koelbel and D. B. Loveman and R. S. Schreiber and G. L. Steele and M. E.
13986                  Zosel},
13987  title         = {The High Performance Fotran Handbook},
13988  publisher     = {MIT Press},
13989  year          = {1994}
13990}
13991
13992@InProceedings{   keyes98,
13993  author        = {D. E. Keyes},
13994  title         = {Trends in Algorithms for Nonuniform Applications on Hierarchical Distributed
13995                  Architectures},
13996  booktitle     = {Proceedings of the Workshop on Computational Aerosciences for the 21st Century},
13997  editors       = {M. D. Salas and W. K. Anderson},
13998  ppublisher    = {Elsevier},
13999  year          = {1998}
14000}
14001
14002@InProceedings{   pooma-atlas,
14003  author        = {S. Atlas and S. Banerjee and J. C. Cummings and P. J. Hinker and M. Srikant and
14004                  J. V. W. Reynders and M. Tholburn},
14005  title         = {{POOMA}: A High-Performance Distributed Simulation Environment for Scientific
14006                  Applications},
14007  year          = {1995},
14008  month         = dec,
14009  booktitle     = {Supercomputing '95 Proceedings}
14010}
14011
14012% ---------------------------------------------------------------------------------
14013% New bib entries for CRPC paper
14014@Misc{            mgnet-web-page,
14015  author        = {Craig C. Douglas},
14016  title         = {{MGNet Web page}},
14017  note          = {See {\tt http://\-www.mgnet.org}}
14018}
14019
14020@Misc{            dagh-web-page,
14021  author        = {M. Parashar and J. C. Browne},
14022  title         = {{DAGH Web page}},
14023  note          = {\url{http://www.caip.rutgers.edu/~parashar/DAGH}}
14024}
14025
14026@Misc{            parasol-web-page,
14027  key           = {PARASOL},
14028  title         = {{PARASOL Web page}},
14029  note          = {See {\tt http://\-www.genias.de/\-projects/\-parasol}}
14030}
14031
14032@Misc{            pooma-web-page,
14033  author        = {{POOMA Web page}},
14034  note          = {See {\tt http://\-www.acl.lanl.gov/pooma}}
14035}
14036
14037@Misc{            mudpack-web-page,
14038  author        = {John C. Adams},
14039  title         = {{MUDPACK Web page}},
14040  note          = {See {\tt http://\-www.scd.ucar.edu/\-css/\-software/\-mudpack}}
14041}
14042
14043@Misc{            pellpack-web-page,
14044  author        = {Elias Houstis and John Rice and Apostolos Hadjidimos},
14045  title         = {{Parallel ELLPACK Web page}},
14046  note          = {See {\tt http://\-www.cs.purdue.edu/\-research/\-cse/\-pellpack/}}
14047}
14048
14049@InProceedings{   pellpack95,
14050  author        = {E. N. Houstis and S. B. Kim and S. Markus and P. Wu and N. E. Houstis and A.C.
14051                  Catlin and S. Weerawarana and T.S. Papatheodorou},
14052  title         = {Parallel {ELLPACK} Elliptic {PDE} Solvers},
14053  booktitle     = {Proceedings of INTEL Supercomputer User's Group Conference},
14054  address       = {Albuquerque, NM},
14055  year          = {1995}
14056}
14057
14058@Misc{            nhse-web-page,
14059  author        = {{National High-Performance Software Exchange Web page}},
14060  note          = {See {\tt http://\-www.nhse.org}}
14061}
14062
14063@Misc{            doug-web-page,
14064  author        = {Mark J. Hagger and Linda Stals},
14065  title         = {{DOUG Web Page}},
14066  note          = {See {\tt http://\-www.maths.bath.ac.uk/\~{ }parsoft/\-doug/}}
14067}
14068
14069@TechReport{      doug97,
14070  author        = {Mark J. Hagger},
14071  title         = {Automatic Domain Decomposition on Unstructured Grids {(DOUG)}},
14072  institution   = {Mathematical Sciences, University of Bath},
14073  year          = {1997},
14074  number        = {9706},
14075  note          = {Advances in Computational Mathematics (to appear)}
14076}
14077
14078@Misc{            ug-web-page,
14079  author        = {{UG Web Page}},
14080  note          = {See {\tt http://\-cox.iwr.uni-heidelberg.de/\~{ }ug/}}
14081}
14082
14083@Article{         ug97,
14084  author        = {P. Bastian and K. Birken and K. Johannsen and S. Lang and N. Neuss and H.
14085                  Rentz-Reichert and C. Wieners},
14086  title         = {{UG} -- A Flexible Software Toolbox for Solving Partial Differential Equations},
14087  journal       = {Computing and Visualization in Science},
14088  year          = {1997},
14089  volume        = {},
14090  pages         = {}
14091}
14092
14093@Misc{            vecfem-web-page,
14094  author        = {Lutz Grosz},
14095  title         = {{VECFEM Web Page}},
14096  note          = {See {\tt http://\-wwwmaths.anu.edu.au/\-\~{ }vecfem/}}
14097}
14098
14099@Misc{            atlas-web-page,
14100  author        = {R. Clint {Whaley et al.}},
14101  title         = {{ATLAS Web Page}},
14102  howpublished  = {\url{http://math-atlas.sourceforge.net}}
14103}
14104
14105@Misc{            fenics-web-page,
14106  author        = {Todd Dupont and Johan Hoffman and Johan Jansson and Claes Johnson and Robert C.
14107                  Kirby and Matthew Knepley and Mats Larson and Anders Logg and Ridgway Scott},
14108  title         = {{FEniCS Web Page}},
14109  note          = {\url{http://www.fenicsproject.org}},
14110  year          = {2005}
14111}
14112
14113@Misc{            matlab-web-page,
14114  author        = {{The} {MathWorks}},
14115  title         = {{Matlab} {Web} page},
14116  url           = {http://www.mathworks.com}
14117}
14118
14119@Misc{            phipac-web-page,
14120  author        = {J. A. Bilmes and K. Asanovic and R. Vudoc and S. Iyer and J. Demmel and C. Chin
14121                  and D. Lam},
14122  title         = {{PHiPAC Web Page}},
14123  note          = {See {\tt http://\-www.icsi.berkeley.edu/\-\~{ }bilmes/\-phipac/}}
14124}
14125
14126@InProceedings{   kelp,
14127  author        = {Stephan J. Fink and Scott B. Baden and Scott R. Kohn},
14128  title         = {Flexible Communication Mechanisms for Dynamic Structured Applications},
14129  booktitle     = {Irregular '96},
14130  year          = {1996}
14131}
14132
14133@Unpublished{     kelp-web-page,
14134  author        = {Scott Baden},
14135  title         = {{KeLP} {W}eb page},
14136  note          = {See {\tt http://\-www-cse.ucsd.edu/\-groups/\-hpcl/\-scg/\-kelp/}}
14137}
14138
14139@InProceedings{   hk99,
14140  author        = {R. Hornung and S. Kohn},
14141  title         = {The Use of Object-Oriented Design Patterns in the {SAMRAI} Structured {AMR}
14142                  Framework},
14143  booktitle     = {Proceedings of the SIAM Workshop on Object-Oriented Methods for Inter-Operable
14144                  Scientific and Engineering Computing},
14145  pages         = {235-244},
14146  year          = {1999},
14147  note          = {See \url{http://www.llnl.gov/CASC/samrai}}
14148}
14149
14150@Unpublished{     samrai-web-page,
14151  title         = {{SAMRAI} {W}eb Page},
14152  author        = {Scott Kohn and Xabier Garaiza and Rich Hornung and Steve Smith},
14153  note          = {See {\tt http://www.llnl.gov/\-CASC/SAMRAI}}
14154}
14155
14156@Misc{            overture-web-page,
14157  author        = {William Henshaw and Kyle Chand},
14158  title         = {{Overture} {W}eb page},
14159  howpublished  = {\url{http://www.llnl.gov/CASC/Overture}}
14160}
14161
14162@InProceedings{   overture99,
14163  author        = {D.L. Brown and W.D. Henshaw and D.J. Quinlan},
14164  title         = {Overture: An Object-Oriented Framework for Solving Partial Differential Equations
14165                  on Overlapping Grids},
14166  publisher     = {SIAM},
14167  booktitle     = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
14168                  Scientific and Engineering Computing},
14169  year          = {1999},
14170  pages         = {215-224},
14171  note          = {See \url{http://www.llnl.gov/CASC/Overture}}
14172}
14173
14174@InProceedings{   diffpack,
14175  author        = {A.M. Bruaset and H.P. Langtangen},
14176  title         = {A Comprehensive Set of Tools for Solving Partial Differential Equations:
14177                  {D}iffpack},
14178  booktitle     = {Numerical Methods and Software Tools in Industrial Mathematics},
14179  year          = {1997},
14180  pages         = {61--90},
14181  publisher     = {Birkhauser Press}
14182}
14183
14184@Article{         dongarra:1984:ila,
14185  author        = {J. J. Dongarra and F. G. Gustavson and A. Karp},
14186  title         = {Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline
14187                  Machine},
14188  journal       = {SIAM Review},
14189  volume        = {26},
14190  number        = {1},
14191  pages         = {91--112},
14192  month         = jan,
14193  year          = {1984},
14194  coden         = {SIREAD},
14195  issn          = {0036-1445 (print), 1095-7200 (electronic)},
14196  mrclass       = {65F10 (65F30)},
14197  mrnumber      = {85c:65032},
14198  bibdate       = {Mon Jan 20 1997},
14199  abstract      = {The authors examine common implementations of linear algebra algorithms, such as
14200                  matrix-vector multiplication, matrix-matrix multiplication and the solution of
14201                  linear equations. The different versions are examined for efficiency on a computer
14202                  architecture which uses vector processing and has pipelined instruction execution.
14203                  By using the advanced architectural features of such machines, one can usually
14204                  achieve maximum performance, and tremendous improvements in terms of execution
14205                  speed can be seen over conventional computers.},
14206  classification= {723; 921},
14207  journalabr    = {SIAM Rev},
14208  keywords      = {computer programming --- Algorithms; dense matrices; linear algebra algorithms;
14209                  mathematical programming; vector pipeline machine}
14210}
14211
14212@Book{            qv99,
14213  author        = {Alfio Quarteroni and Alberto Valli},
14214  title         = {Domain Decomposition Methods for Partial Differential Equations},
14215  publisher     = {Oxford Science Publications},
14216  address       = {Oxford},
14217  year          = {1999}
14218}
14219
14220@Book{            ksv97,
14221  editor        = {David E. Keyes and Ahmed Sameh and V. Venkatakrishnan},
14222  title         = {Parallel Numerical Algorithms},
14223  publisher     = {Kluwer Academic Publishers},
14224  address       = {the Netherlands},
14225  year          = {1997}
14226}
14227
14228@Book{            hackbusch94,
14229  author        = {Wolfgang Hackbusch},
14230  title         = {Iterative Solution of Large Sparse Systems of Equations},
14231  publisher     = {Springer-Verlag},
14232  address       = {New York},
14233  year          = {1994}
14234}
14235
14236@Article{         hackbusch1980fast,
14237  title         = {Fast solution of elliptic control problems},
14238  author        = {Hackbusch, W.},
14239  journal       = {Journal of Optimization Theory and Applications},
14240  volume        = {31},
14241  number        = {4},
14242  pages         = {565--581},
14243  year          = {1980},
14244  publisher     = {Springer}
14245}
14246
14247@Book{            hackbusch1985multi,
14248  title         = {{Multi-grid methods and applications}},
14249  author        = {Hackbusch, W.},
14250  isbn          = {3540127615},
14251  issn          = {0179-3632},
14252  year          = {1985},
14253  publisher     = {Springer Verlag}
14254}
14255
14256@Book{            axelsson94,
14257  author        = {Owe Axelsson},
14258  title         = {Iterative Solution Methods},
14259  publisher     = {Cambridge University Press},
14260  address       = {Cambridge},
14261  year          = {1994}
14262}
14263
14264@Book{            saad96,
14265  author        = {Yousef Saad},
14266  title         = {Iterative Methods for Sparse Linear Systems},
14267  publisher     = {PWS Publishing Company},
14268  address       = {Boston},
14269  year          = {1996}
14270}
14271
14272@Book{            saad2003,
14273  title         = {Iterative Methods for Sparse Linear Systems},
14274  author        = {Saad, Yousef},
14275  doi           = {10.1016/S1570-579X(01)80025-2},
14276  edition       = {2nd},
14277  publisher     = {SIAM},
14278  year          = {2003}
14279}
14280
14281@Book{            vandervorst03,
14282  author        = {Henk A. {van der Vorst}},
14283  title         = {Iterative Krylov Methods for Large Linear Systems},
14284  publisher     = {Cambridge Monographs on Applied ahd Computational Mathematics},
14285  year          = {2003}
14286}
14287
14288@Book{            koniges00,
14289  editor        = {Alice E. Koniges},
14290  title         = {Industrial Strength Parallel Computing},
14291  publisher     = {Morgan Kaufmann Publishers},
14292  address       = {San Francisco},
14293  year          = {2000}
14294}
14295
14296@Misc{            fftw-web-page,
14297  key           = {Fftw},
14298  title         = {{FFTW} {Web} page},
14299  note          = {\texttt{http://www.fftw.org/}},
14300  annote        = {fast FFT. Parallel versions with MPI and Cilk}
14301}
14302
14303@InProceedings{   frigojohnson93,
14304  author        = {Matteo Frigo and Steven G. Johnson},
14305  title         = {The Design and Implementation of {FFTW3}},
14306  booktitle     = {Proceedings of the IEEE},
14307  volume        = {93},
14308  number        = {2},
14309  pages         = {216--231},
14310  year          = {2005}
14311}
14312
14313@Book{            kelley95,
14314  author        = {C. T. Kelley},
14315  title         = {Iterative Methods for Linear and Nonlinear Equations},
14316  year          = {1995},
14317  publisher     = {SIAM},
14318  address       = {Philadelphia}
14319}
14320
14321@Unpublished{     spai-web-page,
14322  title         = {{SPAI} {W}eb {P}age},
14323  note          = {http://www.sam.math.ethz.ch/\~{ }grote/spai/},
14324  author        = {Steven Bernard and Marcus Grote},
14325  institution   = {NASA Ames Research Center and ETH Zurich}
14326}
14327
14328@Article{         gh97,
14329  author        = {M. J. Grote and T. Huckle},
14330  title         = {Parallel Preconditioning with Sparse Approximate Inverses},
14331  year          = {1997},
14332  journal       = {SIAM J. of Scient. Comput.},
14333  volume        = {18},
14334  pages         = {838-853}
14335}
14336
14337@Article{         zhang96,
14338  author        = {Wen Zhang},
14339  title         = {Using {MOL} to Solve a high order nonlinear {PDE} with a moving boundary in the
14340                  simulation of a sintering process},
14341  year          = {1996},
14342  journal       = {Appl. Numer. Math.},
14343  volume        = {20},
14344  pages         = {235-244}
14345}
14346
14347@Article{         zhang98,
14348  author        = {Wen Zhang and Ian Gladwell},
14349  title         = {The sintering of two particles by surface and grain boundary diffusion - a
14350                  three-dimensional numerical study},
14351  journal       = {Comp. Mater. Sci.},
14352  year          = {1998},
14353  volume        = {12}
14354}
14355
14356@InProceedings{   mollerschwartzbach01,
14357  author        = {Anders M\o{}ller and Michael I. Schwartzbach},
14358  title         = {The Pointer Assertion Logic Engine},
14359  booktitle     = {ACM Proceedings of PLDI'01},
14360  year          = {2001}
14361}
14362
14363@InProceedings{   klarlandschwartzbach97,
14364  author        = {Nils Klarland and Michael I. Schwartzbach},
14365  title         = {A Domain-Specific Languages for Regular Sets of Strings and Trees},
14366  booktitle     = {Proceedings of the Conference on Domain-Specific Languages},
14367  publisher     = {USENIX},
14368  month         = oct,
14369  year          = {1997},
14370  address       = {Santa Barbara, CA}
14371}
14372
14373@InProceedings{   conselmarlet98,
14374  author        = {C. Consel and R. Marlet},
14375  title         = {Architecturing software using a methodology for language development},
14376  booktitle     = {Proceedings of the 10th International Symposium on Programming Languages,
14377                  Implementations, Logics and Programs},
14378  year          = {1998},
14379  pages         = {170-174},
14380  month         = sep,
14381  address       = {Pisa, Italy}
14382}
14383
14384@Misc{            sundials:homepage,
14385  author        = {C. {Woodward et al.}},
14386  title         = {{SUNDIALS {W}eb page}},
14387  howpublished  = {\url{https://computation.llnl.gov/casc/sundials/main.html}}
14388}
14389
14390@article{gardner2022sundials,
14391  title     = {Enabling new flexibility in the {SUNDIALS} suite of nonlinear and differential/algebraic equation solvers},
14392  author    = {Gardner, David J and Reynolds, Daniel R and Woodward, Carol S and Balos, Cody J},
14393  journal   = {ACM Transactions on Mathematical Software (TOMS)},
14394  publisher = {ACM},
14395  year      = {2022},
14396  doi       = {10.1145/3539801}
14397}
14398
14399@Misc{            sundials-user-ref,
14400  title         = {{SUNDIALS}: Suite of Nonlinear and Differential/Algebraic Equation Solvers},
14401  note          = {See \url{http://www.llnl.gov/CASC/sundials}},
14402  author        = {Allan Hindmarsh and Peter Brown and Keith Grant and Steven Lee and Radu Serban
14403                  and Dan Shumaker and Carol Woodward},
14404  institution   = {Center for Applied Scientific Computing, Lawrence Livermore National Laboratory},
14405  number        = {UCRL-JP-200037},
14406  year          = {2003}
14407}
14408
14409@Article{         sundials05,
14410  author        = {A. Hindmarsh and P. Brown and K. Grant and S. Lee and R. Serban and D. Shumaker
14411                  and C. Woodward},
14412  title         = {{SUNDIALS:} Suite of Nonlinear and Differential/Algebraic Equation Solvers},
14413  journal       = {ACM Transactions on Mathematical Software},
14414  volume        = {31},
14415  number        = {3},
14416  pages         = {363--396},
14417  year          = {2005}
14418}
14419
14420@InProceedings{   serban2005cvodes,
14421  title         = {{CVODES}, the sensitivity-enabled {ODE} solver in {SUNDIALS}},
14422  author        = {Serban, Radu and Hindmarsh, Alan C},
14423  booktitle     = {Proceedings of the 5th International Conference on Multibody Systems, Nonlinear
14424                  Dynamics and Control, Long Beach, CA},
14425  year          = {2005}
14426}
14427
14428@Article{         pvode99,
14429  author        = {G. Byrne and A. Hindmarsh},
14430  title         = {{PVODE}, An {ODE} Solver for Parallel Computers},
14431  journal       = {Int. J. High Perf. Comput. Apps.},
14432  volume        = {13},
14433  number        = {4},
14434  year          = {1999},
14435  pages         = {354 -- 365}
14436}
14437
14438@Article{         cvode95,
14439  author        = {S. Cohen and A. Hindmarsh},
14440  title         = {{CVODE}, A Stiff/Nonstiff {ODE} Solver in {C}},
14441  journal       = {Computers in Physics},
14442  volume        = {10},
14443  number        = {2},
14444  year          = {1996},
14445  pages         = {138 -- 143}
14446}
14447
14448@TechReport{      ifpack,
14449  title         = {Robust Algebraic Preconditioners using {IFPACK} 3.0},
14450  author        = {Marzio Sala and Michael Heroux},
14451  institution   = {Sandia National Laboratories},
14452  number        = {SAND2005-0662},
14453  year          = {2005}
14454}
14455
14456@TechReport{      kinsol-user-ref,
14457  title         = {User Documentation for {KINSOL}, A Nonlinear Solver for Sequential and Parallel
14458                  Computers},
14459  author        = {Allan Taylor and Alan Hindmarsh},
14460  institution   = {Center for Applied Scientific Computing, Lawrence Livermore National Laboratory},
14461  number        = {UCRL-ID-131185},
14462  year          = {1998}
14463}
14464
14465@Article{         fiardmanteuffelmccormick98,
14466  author        = {J.-M. Fiard and T. Manteuffel and S. McCormick},
14467  title         = {First-order system least squares {(FOSLS)} for convection-diffusion problems:
14468                  numerical results},
14469  journal       = {SIAM J. Sci. Comp.},
14470  year          = {1998},
14471  volume        = {19},
14472  pages         = {1958--1979}
14473}
14474
14475@InProceedings{   vuduc02,
14476  author        = {Richard Vuduc and James W. Demmel and Katherine A. Yelick and Shoaib Kamil and
14477                  Rajesh Nishtala and Benjamin Lee},
14478  title         = {Performance Optimizations and Bounds for Sparse Matrix-Vector Multiply},
14479  booktitle     = {Proceedings of Supercomputing},
14480  year          = {2002},
14481  month         = nov,
14482  address       = {Baltimore}
14483}
14484
14485@Article{         beckerbraackrannacher1999,
14486  title         = {Numerical simulation of laminar flames at low Mach number by adaptive finite
14487                  elements},
14488  author        = {Roland Becker and Malte Braack and Rolf Rannacher},
14489  journal       = {Combustion Theory and Modelling},
14490  volume        = {3},
14491  pages         = {503--534},
14492  year          = {1999}
14493}
14494
14495@Article{         beckerrannacher01,
14496  author        = {R. Becker and R. Rannacher},
14497  title         = {An optimal control approach to a posteriori error estimation in finite element
14498                  methods},
14499  journal       = {Acta Numerica},
14500  year          = {2001},
14501  volume        = {10},
14502  pages         = {1--102}
14503}
14504
14505@Article{         babuskamiller84a,
14506  author        = {I. Babu$\check{s}$ka and A.D. Miller},
14507  title         = {The post-processing approach in the finite element method, {I}: Calculations of
14508                  displacements, stresses, and other higher derivatives of the displacements},
14509  journal       = {Int. J. Numer. Meth. Eng.},
14510  year          = {1984},
14511  volume        = {20},
14512  pages         = {1085--1109}
14513}
14514
14515@Article{         babuskamiller84b,
14516  author        = {I. Babu$\check{s}$ka and A.D. Miller},
14517  title         = {The post-processing approach in the finite element method, {II}: The calculation
14518                  of stress intensity factors},
14519  journal       = {Int. J. Numer. Meth. Eng.},
14520  year          = {1984},
14521  volume        = {20},
14522  pages         = {1111--1129}
14523}
14524
14525@Article{         babuskamiller84c,
14526  author        = {I. Babu$\check{s}$ka and A.D. Miller},
14527  title         = {The post-processing approach in the finite element method, {III}: A posteriori
14528                  error estimation and adaptive mesh refinement},
14529  journal       = {Int. J. Numer. Meth. Eng.},
14530  year          = {1984},
14531  volume        = {20},
14532  pages         = {2311--2324}
14533}
14534
14535@Unpublished{     jtb-web-page,
14536  title         = {{The Java Tree Builder}},
14537  note          = {See \url{http://www.cs.purdue.edu/jtb}},
14538  author        = {Jens Palsberg},
14539  institution   = {Purdue University}
14540}
14541
14542@Unpublished{     palsberg98,
14543  title         = {Why Visitors?},
14544  note          = {See \url{http://www.cs.purdue.edu/jtb/whyvisitors}},
14545  author        = {Jens Palsberg},
14546  institution   = {Purdue University},
14547  year          = {1998}
14548}
14549
14550@Unpublished{     ply-web-page,
14551  title         = {{PLY (Python Lex-Yacc)}},
14552  note          = {\url{http://systems.cs.chicago.edu/ply}},
14553  author        = {David Beazley},
14554  institution   = {University of Chicago}
14555}
14556
14557@Misc{            adic-web-page,
14558  title         = {{ADIC Web page}},
14559  note          = {\url{http://www.mcs.anl.gov/autodiff}},
14560  author        = {Paul Hovland and Uwe Naumann and Boyana Norris},
14561  institution   = {Argonne National Laboratory}
14562}
14563
14564@Article{         naumann02,
14565  author        = {Uwe Naumann},
14566  title         = {Optimal accumulation of {J}acobian matrices by elimination methods on the dual
14567                  computational graph},
14568  journal       = {Mathematical Programming (to appear)},
14569  note          = {Preprint ANL/MCS-P944-0402, Argonne National Laboratory, April 2002},
14570  year          = {2003}
14571}
14572
14573@Article{         kaper1,
14574  author        = {H. G. Kaper and T. J. Kaper},
14575  title         = {Asymptotic Analysis of Two Reduction Methods for Systems of Chemical Reactions},
14576  journal       = {Physica D},
14577  year          = {2002},
14578  pages         = {66--93},
14579  volume        = {165}
14580}
14581
14582@Misc{            veltisto-web-page,
14583  author        = {George Biros},
14584  title         = {{Veltisto Web page}},
14585  note          = {\url{http://www.cs.nyu.edu/~biros/veltisto}}
14586}
14587
14588@Article{         karypiskumar98,
14589  author        = {George Karypis and Vipin Kumar},
14590  title         = {A Parallel Algorithm for Multilevel Graph Partitioning and Sparse Matrix
14591                  Ordering},
14592  journal       = {Journal of Parallel and Distributed Computing},
14593  volume        = {48},
14594  pages         = {71--85},
14595  year          = {1998}
14596}
14597
14598@TechReport{      karypiskumar97,
14599  author        = {Karypis, George and Kumar, V.},
14600  institution   = {Department of Computer Science, University of Minnesota},
14601  keywords      = {graph partitioning; ParMetis},
14602  note          = {http://www.cs.umn.edu/~metis},
14603  number        = {97-060},
14604  title         = {{ParMETIS}: Parallel graph partitioning and sparse matrix ordering library},
14605  year          = {1997}
14606}
14607
14608@Misc{            parmetis-web-page,
14609  author        = {George {Karypis et al.}},
14610  title         = {{ParMETIS Web page}},
14611  note          = {\url{http://www.cs.umn.edu/~karypis/metis/parmetis}},
14612  year          = {2005}
14613}
14614
14615@Misc{            sparskit-web-page,
14616  author        = {Yousef {Saad et al.}},
14617  title         = {{SPARSKIT Web page}},
14618  note          = {\url{http://www.cs.umn.edu/~saad/software/SPARSKIT/sparskit.html}}
14619}
14620
14621@Misc{            dscpack-web-page,
14622  author        = {Padma Raghavan},
14623  title         = {{DSCPACK Web page}},
14624  note          = {\url{http://www.cse.psu.edu/~raghavan/Dscpack}}
14625}
14626
14627@Misc{            gaussian-web-page,
14628  author        = {},
14629  title         = {{Gaussian Web page}},
14630  note          = {\url{http://gaussian.com}},
14631  key           = {{Gaussian} {Web} page}
14632}
14633
14634@Book{            lapack-user-guide,
14635  author        = {E. Anderson and Z. Bai and C. Bischof and S. Blackford and J. Demmel and J.
14636                  Dongarra and J. Du Cris and A. Greenbaum and S. Hammarling and A. McKenney and D.
14637                  Sorensen},
14638  title         = {LAPACK Users' Guide, Third Edition},
14639  publisher     = {SIAM},
14640  year          = {1999}
14641}
14642
14643@Manual{          nwchem4.1,
14644  author        = {High Performance Computational Chemistry Group},
14645  title         = {{NWChem}, A Computational Chemistry Package for Parallel Computers, Version 4.1},
14646  year          = {2002},
14647  organization  = {Pacific Northwest National Laboratory},
14648  address       = {Richland, Washington 99325-0999 USA},
14649  note          = {See \url{http://www.emsl.pnl.gov/pub/docs/nwchem/}}
14650}
14651
14652@TechReport{      tchem,
14653  title         = {{TC}hem: {A} Software Toolkit for the Analysis of Complex Kinetic Models},
14654  author        = {Cosmin Safta and Habib Najm and Omar Knio},
14655  institution   = {Sandia National Laboratories},
14656  number        = {SAND2011-3282},
14657  year          = {2011}
14658}
14659
14660@Misc{            scidac-web-page,
14661  author        = {},
14662  title         = {{{SciDAC Initiative Web page}}},
14663  note          = {\url{http://www.osti.gov/scidac}},
14664  key           = {{SciDAC Initiative Web page}}
14665}
14666
14667@Misc{            cmrs:homepage,
14668  author        = {Amitava {Bhattacharjee (PI)}},
14669  title         = {{Center for Magnetic Reconnection Studies}},
14670  howpublished  = {\url{http://www.physics.uiowa.edu/cmrs}}
14671}
14672
14673@Misc{            tops:homepage,
14674  author        = {David {Keyes (PI)}},
14675  title         = {{Towards Optimal Petascale Simulations (TOPS) Center}},
14676  howpublished  = {\url{http://scalablesolvers.org}}
14677}
14678
14679@Misc{            tstt:homepage,
14680  author        = {David Brown and Jim Glimm and Lori Freitag},
14681  title         = {{Terascale Simulation Tools and Technology (TSTT) Center}},
14682  howpublished  = {\url{http://www.tstt-scidac.org}},
14683  year          = {2005}
14684}
14685
14686@Misc{            petsc:applications,
14687  author        = {B. F. {Smith et al.}},
14688  title         = {{Scientific Applications Using {PETSc}}},
14689  howpublished  = {\url{http://www.mcs.anl.gov/petsc/publications}}
14690}
14691
14692@Misc{            petsc:users,
14693  author        = {B. F. {Smith et al.}},
14694  title         = {{PETSc User Statistics}},
14695  howpublished  = {\url{http://www.mcs.anl.gov/petsc/miscellaneous/usage.html}}
14696}
14697
14698@Misc{            cemm:homepage,
14699  author        = {Steve {Jardin (PI)}},
14700  title         = {{Center for Extended MHD Modeling}},
14701  howpublished  = {\url{http://w3.pppl.gov/CEMM}}
14702}
14703
14704@Misc{            m3d:homepage,
14705  author        = {Steve {Jardin et al.}},
14706  title         = {{M3D Web page}},
14707  howpublished  = {\url{http://w3.pppl.gov/m3d}}
14708}
14709
14710@Misc{            nimrod:homepage,
14711  author        = {Carl R. {Sovinec et al.}},
14712  title         = {{NIMROD Web page}},
14713  howpublished  = {http://nimrodteam.org}
14714}
14715
14716@Misc{            grace-web-page,
14717  author        = {Manish {Parashar et al.}},
14718  title         = {{GrACE Web Page}},
14719  howpublished  = {\url{http://www.caip.rutgers.edu/~parashar/TASSL/Projects/GrACE}}
14720}
14721
14722@Misc{            accel1,
14723  title         = {Advanced Computing for 21st Century Accelerator Science and Technology Web page},
14724  howpublished  = {\url{http://scidac.nersc.gov/accelerator/}},
14725  author        = {K. Ko and R. Ryne (PIs)}
14726}
14727
14728@Unpublished{     katzspiegelman03,
14729  author        = {Richard F. Katz and Marc Spiegelman},
14730  title         = {A semi-{L}agrangian {C}rank-{N}icholson algorithm for the numerical solution of
14731                  advection-diffusion problems},
14732  note          = {Columbia University, in preparation}
14733}
14734
14735@Misc{            acts:homepage,
14736  author        = {},
14737  title         = {{Advanced CompuTational Software (ACTS) Web page}},
14738  howpublished  = {\url{http://acts.nersc.gov}},
14739  key           = {{Advanced CompuTational Software (ACTS) Web page}}
14740}
14741
14742@Article{         superlu99,
14743  author        = {James W. Demmel and Stanley C. Eisenstat and John R. Gilbert and Xiaoye S. Li and
14744                  Joseph W. H. Liu},
14745  title         = {A supernodal approach to sparse partial pivoting},
14746  journal       = {SIAM J. Matrix Analysis and Applications},
14747  year          = {1999},
14748  volume        = {20},
14749  number        = {3},
14750  pages         = {720-755}
14751}
14752
14753@Misc{            superlu:homepage,
14754  author        = {J. Demmel and J. Gilbert and X. Li},
14755  title         = {{SuperLU Web page}},
14756  howpublished  = {http://crd.lbl.gov/\~xiaoye/SuperLU}
14757}
14758
14759@InProceedings{   ccf98,
14760  author        = {E. Chow and A. Cleary and R. Falgout},
14761  title         = {Design of the hypre Preconditioner Library},
14762  booktitle     = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
14763                  Scientific and Engineering Computing},
14764  publisher     = {SIAM},
14765  year          = {1999}
14766}
14767
14768@TechReport{      hypre-users-manual,
14769  author        = {R. Falgout},
14770  title         = {{hypre} Users Manual},
14771  number        = {Revision 2.28},
14772  institution   = {Lawrence Livermore National Laboratory},
14773  year          = {2023},
14774  url           = {https://hypre.readthedocs.io/}
14775}
14776
14777@Misc{            hypre:homepage,
14778  author        = {R. Falgout},
14779  title         = {{hypre Web page}},
14780  howpublished  = {\url{https://www.llnl.gov/casc/hypre}}
14781}
14782
14783@InProceedings{   trilinos:gpu,
14784  author        = {C.G. Baker and M.A. Heroux. and H.C. Edwards and A.B. Williams},
14785  title         = {A Light-weight API for Portable Multicore Programming},
14786  booktitle     = {18th Euromicro International Conference on Parallel, Distributed and
14787                  Network-Based Processing (PDP)},
14788  pages         = {601--606},
14789  publisher     = {IEEE},
14790  year          = {2010}
14791}
14792
14793@InProceedings{   heroux2004design,
14794  title         = {The design of {T}rilinos},
14795  author        = {Heroux, Michael A and Sala, Marzio},
14796  booktitle     = {International Workshop on Applied Parallel Computing},
14797  pages         = {620--628},
14798  year          = {2004},
14799  organization  = {Springer}
14800}
14801
14802@Misc{            trilinos:homepage,
14803  author        = {M. {Heroux et al.}},
14804  title         = {{Trilinos Web page}},
14805  howpublished  = {{\tt http://trilinos.sandia.gov/}}
14806}
14807
14808@Article{         trilinos:overview,
14809  author        = {Michael A. Heroux and Roscoe A. Bartlett and Vicki E. Howle and Robert J.
14810                  Hoekstra and Jonathan J. Hu and Tamara G. Kolda and Richard B. Lehoucq and Kevin
14811                  R. Long and Roger P. Pawlowski and Eric T. Phipps and Andrew G. Salinger and Heidi
14812                  K. Thornquist and Ray S. Tuminaro and James M. Willenbring and Alan Williams and
14813                  Kendall S. Stanley},
14814  title         = {An overview of the {T}rilinos project},
14815  journal       = {ACM Transactions on Mathematical Software},
14816  volume        = {31},
14817  number        = {3},
14818  year          = {2005},
14819  issn          = {0098-3500},
14820  pages         = {397--423},
14821  publisher     = {ACM Press},
14822  doi           = {10.1145/1089014.1089021}
14823}
14824
14825@Misc{            rythmos:homepage,
14826  author        = {T. Coffey and R. Bartlett},
14827  title         = {Rythmos: Transient Integration of Differential Equations},
14828  howpublished  = {\url{http://trilinos.sandia.gov/packages/rythmos}}
14829}
14830
14831@Misc{            triangle:homepage,
14832  author        = {J. {Shewchuk}},
14833  title         = {{Triangle: A Two-Dimensional Quality Mesh Generator and Delaunay Triangulator}},
14834  howpublished  = {\url{http://www-2.cs.cmu.edu/~quake/triangle.html}},
14835  year          = {2005}
14836}
14837
14838@Misc{            tetgen:homepage,
14839  author        = {Hang {Si}},
14840  title         = {{TetGen: A Quality Tetrahedral Mesh Generator and Three-Dimensional Delaunay
14841                  Triangulator}},
14842  howpublished  = {\url{http://tetgen.berlios.de}},
14843  year          = {2005}
14844}
14845
14846@Misc{            opencascade:homepage,
14847  author        = {{OpenCASCADE SAS}},
14848  title         = {{Open CASCADE Technology (OCCT)}},
14849  howpublished  = {\url{https://dev.opencascade.org/}},
14850  year          = {2024}
14851}
14852
14853@Misc{            eigen:homepage,
14854  author        = {Benoit Jacob and Ga\"el Guennebaud},
14855  title         = {{Eigen} {W}eb page},
14856  key           = {Jacob},
14857  url           = {http://eigen.tuxfamily.org/},
14858  howpublished  = {\url{http://eigen.tuxfamily.org/}},
14859  year          = {2015}
14860}
14861
14862@Misc{            dune:homepage,
14863  author        = {Peter Bastian and Markus Blatt and Andreas Dedner and Christian Engwer and Jorrit
14864                  Fahlke and Christoph Gersbacher and Carsten Gr\"aser and Christoph Gr\"uninger
14865                  Robert Kl\"ofkorn and Steffen M\"uthing and Martin Nolte and Mario Ohlberger and
14866                  Oliver Sander},
14867  title         = {{DUNE} {W}eb page},
14868  key           = {Bastian},
14869  url           = {http://www.dune-project.org/},
14870  howpublished  = {\url{http://www.dune-project.org/}},
14871  year          = {2015}
14872}
14873
14874@Misc{            thrust,
14875  author        = {N. Bell and J. Hoberock},
14876  title         = {The {T}hrust Library},
14877  howpublished  = {{\tt http://code.google.com/p/thrust/}},
14878  year          = {2010}
14879}
14880
14881@Misc{            cusp,
14882  author        = {N. Bell and M. Garland},
14883  title         = {The {C}usp Library},
14884  howpublished  = {{\tt http://code.google.com/p/cusp-library/}},
14885  year          = {2010}
14886}
14887
14888@Misc{            cig:homepage,
14889  author        = {M. {Gurnis et al.}},
14890  title         = {{Computational Infrastructure for Geodynamics}},
14891  howpublished  = {\url{http://www.geodynamics.org}}
14892}
14893
14894@Article{         maltsevselkov00,
14895  author        = {R. Overbeek and N. Larsen and G. Pusch and M. D'Souza and E. Selkov Jr. and N.
14896                  Kyrpides and M. Fonstein and N. Maltsev and E. Selkov},
14897  title         = {{WIT}: {I}ntegrated system for high-throughput genome sequence analysis and
14898                  metabolic reconstruction},
14899  journal       = {Nucleic Acids Res.},
14900  year          = {2000},
14901  month         = jan,
14902  pages         = {123-125},
14903  volume        = {28},
14904  number        = {1}
14905}
14906
14907@Article{         more:coloring,
14908  author        = {Thomas F. Coleman and Jorge J. Mor\'{e}},
14909  title         = {Estimation of sparse {J}acobian matrices and graph coloring problems},
14910  journal       = {SIAM Journal on Numerical Analysis},
14911  year          = {1983},
14912  month         = feb,
14913  pages         = {187--209},
14914  volume        = {20},
14915  number        = {1}
14916}
14917
14918@Article{         selkovmaltsev97,
14919  author        = {E. Selkov and N. Maltsev and G.J. Olsen and R. Overbeek and W. B. Whitman},
14920  title         = {A reconstruction of the metabolism of Methanococcus jannaschii from sequence
14921                  data},
14922  journal       = {Gene},
14923  year          = {1997},
14924  pages         = {GC11-GC26},
14925  volume        = {197},
14926  number        = {1-2}
14927}
14928
14929@Unpublished{     rocketcenter,
14930  title         = {Center for Simulation of Advanced Rockets},
14931  note          = {http://www.csar.uiuc.edu},
14932  institution   = {University of Illinois at Urbana-Champaign}
14933}
14934
14935@Article{         kirby03,
14936  title         = {A posteriori error estimates for the mixed hybrid finite element method},
14937  author        = {Robert C Kirby},
14938  journal       = {Computational Geosciences},
14939  volume        = {7},
14940  pages         = {197--214},
14941  note          = {\url{http://www.ices.utexas.edu/~clint/nsf/apostmfem.ps}},
14942  year          = {2003}
14943}
14944
14945@Article{         kirby2003b,
14946  title         = {On the convergence of high resolution methods with multiple time scales for
14947                  hyperbolic conservation laws},
14948  author        = {Robert C Kirby},
14949  journal       = {Mathematics of computation},
14950  volume        = {72},
14951  number        = {243},
14952  pages         = {1239--1250},
14953  year          = {2003}
14954}
14955
14956@Article{         dawsonkirby2001,
14957  title         = {High resolution schemes for conservation laws with locally varying time steps},
14958  author        = {Clint Dawson and Robert C Kirby},
14959  journal       = {SIAM Journal on Scientific Computing},
14960  volume        = {22},
14961  number        = {6},
14962  pages         = {2256--2281},
14963  year          = {2001},
14964  publisher     = {SIAM}
14965}
14966
14967@Article{         dawsonkirby1999,
14968  title         = {Solution of parabolic equations by backward Euler-mixed finite element methods on
14969                  a dynamically changing mesh},
14970  author        = {Clint Dawson and Robert C Kirby},
14971  journal       = {SIAM Journal on Numerical Analysis},
14972  volume        = {37},
14973  number        = {2},
14974  pages         = {423--442},
14975  year          = {1999},
14976  publisher     = {SIAM}
14977}
14978
14979@Article{         barthlarson00,
14980  author        = {T. J. Barth and M. G. Larson},
14981  title         = {{\em A posteriori} Error Estimation for Discontiuous {G}alerkin Approximations of
14982                  Hyperbolic Systems},
14983  journal       = {LNCS},
14984  year          = {2000},
14985  volume        = {11},
14986  publisher     = {Spinger-Verlag}
14987}
14988
14989@Article{         xu1,
14990  author        = {J. Xu},
14991  title         = {Iterative Methods by Space Decomposition and Subspace Correction},
14992  journal       = {SIAM Review},
14993  volume        = {34},
14994  pages         = {581--613},
14995  year          = {1992}
14996}
14997
14998@Article{         brandt77,
14999  author        = {Achi Brandt},
15000  title         = {Multi-Level Adaptive Solutions to Boundary-Value Problems},
15001  journal       = {Mathematics of Computation},
15002  month         = apr,
15003  year          = {1977},
15004  pages         = {333--390},
15005  volume        = {31},
15006  number        = {138},
15007  doi           = {10.2307/2006422}
15008}
15009
15010@Article{         brandt1979multigrid,
15011  title         = {{Multigrid solutions to elliptic flow problems}},
15012  author        = {Brandt, A. and Dinar, N.},
15013  journal       = {Numerical Methods for Partial Differential Equations},
15014  pages         = {53--147},
15015  year          = {1979}
15016}
15017
15018@InCollection{    brandt1979singular,
15019  title         = {Multi-Level Adaptive Techniques(MLAT) for singular-perturbation problems},
15020  author        = {Achi Brandt},
15021  booktitle     = {Numerical Analysis of Singular Perturbation Problems},
15022  editor        = {Hemker, Pieter W. and Miller, John J.H.},
15023  pages         = {53--142},
15024  year          = {1979},
15025  publisher     = {Academic Press}
15026}
15027
15028@Article{         amge1,
15029  author        = {M. Brezina and A. J. Cleary and R. D. Falgout and V. E. Henson and J. E. Jones
15030                  and T. A. Manteuffel and S. F. McCormick and J. W. Ruge},
15031  title         = {Algebraic Multigrid Based on Element Interpolation (AMGe)},
15032  journal       = {SIAM J. Scientific Computing},
15033  volume        = {22},
15034  pages         = {1570--1592},
15035  year          = {2000}
15036}
15037
15038@Book{            bramble1,
15039  author        = {J. H. Bramble},
15040  title         = {Multigrid Methods},
15041  publisher     = {Longman Scientific and Technical},
15042  address       = {Essex, England},
15043  year          = {1993}
15044}
15045
15046@Book{            arpack98,
15047  author        = {R. B. Lehoucq and D. C. Sorensen and C. Yang},
15048  title         = {ARPACK, Users' Guide},
15049  publisher     = {SIAM},
15050  year          = {1998}
15051}
15052
15053@Article{         bbder96,
15054  author        = {R. Barrett and M. Berry and J. Dongarra and V. Eijkhout and C. Romine},
15055  title         = {Algorithmic bombardment for the iterative solution of linear systems: A
15056                  polyIterative approach},
15057  journal       = {J. of Computational and Applied Mathematics},
15058  year          = {1996},
15059  volume        = {74},
15060  pages         = {91--110}
15061}
15062
15063@Article{         egks94,
15064  author        = {A. Ern and V. Giovangigli and D. E. Keyes and M. D. Smooke},
15065  title         = {Towards polyalgorithmic linear system solvers for nonlinear elliptic problems,},
15066  journal       = {SIAM J. Scientific Computing},
15067  year          = {1994},
15068  volume        = {15},
15069  number        = {3},
15070  pages         = {681--703}
15071}
15072
15073@Article{         dftb02,
15074  author        = {P. Zapol and M. Sternberg and L.A. Curtiss and Th. Frauenheim and D.M. Gruen},
15075  title         = {Tight-binding molecular-dynamics simulation of impurities in ultrananocrystalline
15076                  diamond grain boundaries,},
15077  journal       = {Phys. Rev},
15078  year          = {2002},
15079  volume        = {B65},
15080  pages         = {045403}
15081}
15082
15083@InBook{          lsa,
15084  author        = {R. Bramley and D. Gannon and T. Stuckey and J. Villacis and J. Balasubramanian
15085                  and E. Akman and F. Berg and S. Diwan and M. Govindaraju},
15086  title         = {The linear system analyzer},
15087  series        = {enabling technologies for computational science},
15088  year          = {2002},
15089  publisher     = {Kluwer},
15090  location      = {Dordrecht}
15091}
15092
15093@Article{         kk97,
15094  author        = {Carl T. Kelley and David E. Keyes},
15095  title         = {Convergence analysis of pseudo-transient continuation},
15096  journal       = {SIAM J. Numerical Analysis},
15097  year          = {1998},
15098  volume        = {35},
15099  pages         = {508--523}
15100}
15101
15102@Article{         swtm01,
15103  author        = {R. Shepard and A. F. Wagner and J. L. Tilson and M. Minkoff},
15104  journal       = {Journal of Computational Physics},
15105  year          = {2001},
15106  volume        = {172},
15107  number        = {2},
15108  pages         = {472--514},
15109  title         = {The Subspace Projected Approximate Matrix {(SPAM)} Modification of the {D}avidson
15110                  Method}
15111}
15112
15113@TechReport{      zhou03,
15114  author        = {Y. Zhou},
15115  title         = {Eigenvalue Computation from the Optimization Perspective: On {Jacobi-Davidson,
15116                  IIGD, RQI and Newton} Updates},
15117  institution   = {Argonne National Laboratory},
15118  number        = {ANL/MCS-P1074-0803},
15119  note          = {Submitted to Numerical Linear Algebra with Applications},
15120  year          = {2003}
15121}
15122
15123@Unpublished{     mtwm03,
15124  author        = {G. G. Maisuradze and D. L. Thompson and A. F. Wagner and M. Minkoff},
15125  title         = {Interpolating moving least squares methods for fitting potential energy surfaces:
15126                  Detailed analysis of one-dimensional applications},
15127  note          = {to appear in the Journal of Chemical Physics},
15128  year          = {2003}
15129}
15130
15131@Article{         singhjosephheslaglowinskipan00,
15132  author        = {P. Singh and D. D. Joseph and T. Hesla and R. Glowinski and T.-W. Pan},
15133  title         = {A distributed {L}agrange multiplier/fictitious domain model for viscoelastic
15134                  particulate flows},
15135  journal       = {J. Non-Newtonian Fluid Mech.},
15136  volume        = {91},
15137  pages         = {165--188},
15138  year          = {2000}
15139}
15140
15141@Book{            joseph02,
15142  author        = {Daniel D. Joseph},
15143  title         = {Interrogations of Direct Numerical Simulations of Sloid-Liquid Flows},
15144  publisher     = {Springer-Verlag},
15145  month         = mar,
15146  year          = {2002},
15147  note          = {\url{http://www.efluids.com/efluids/books/joseph.htm}}
15148}
15149
15150@Misc{            triangle-web-page,
15151  author        = {Jonathan R. Shewchuk},
15152  title         = {{Triangle Web} page},
15153  note          = {\url{http://www-2.cs.cmu.edu/~quake/triangle.html}}
15154}
15155
15156@InCollection{    shewchuk96,
15157  author        = {Jonathan R. Shewchuk},
15158  title         = {Triangle: {E}ngineering a {2D} Quality Mesh Generator and {D}elaunay
15159                  Triangulator},
15160  booktitle     = {Applied Computational Geometry: Towards Geometric Engineering},
15161  editor        = {Ming C. Lin and Dinesh Manocha},
15162  series        = {Lecture Notes in Computer Science},
15163  volume        = {1148},
15164  publisher     = {Springer-Verlag},
15165  pages         = {203--222},
15166  month         = may,
15167  year          = {1996},
15168  note          = {From the First ACM Workshop on Applied Computational Geometry}
15169}
15170
15171@Article{         leaf1,
15172  author        = {Transient Dynamics of Pinning of Domain Walls},
15173  title         = {G. K. Leaf and S. Obukhov and S. Scheidl and V. M. Vinokur},
15174  journal       = {J. Magnetism and Magnetic Materials},
15175  volume        = {241},
15176  pages         = {118--123},
15177  year          = {2002}
15178}
15179
15180@Article{         leaf2,
15181  author        = {D. O. Gunter and H. G. Kaper and G. K. Leaf},
15182  title         = {Implicit Integration of the Time-Dependent {Ginzburg-Landau} Equations of
15183                  Superconductivity},
15184  journal       = {SIAM J. Sci. Comp.},
15185  volume        = {23},
15186  pages         = {1944--1959},
15187  year          = {2002}
15188}
15189
15190@Article{         leaf3,
15191  author        = { J. S. Jiang and H. G. Kaper and G. K. Leaf},
15192  title         = {Hysteresis in Layered Spring Magnets},
15193  journal       = { Discreet and Continuous Dynamical Systems, Series B},
15194  volume        = {1},
15195  pages         = {219--232},
15196  year          = {2001}
15197}
15198
15199@Article{         leaf4,
15200  author        = {J. S. Jiang and S. D. Bader and H. G. Kaper and G. K. Leaf},
15201  title         = {Rotational Hysteresis of Exchange-Spring Magnets},
15202  journal       = {J. Phys. D Appl. Phys.},
15203  volume        = {35},
15204  pages         = {2339--2343},
15205  year          = {2002}
15206}
15207
15208@Article{         leaf5,
15209  author        = {M. Grimsditch and G. K. Leaf and H. G. Kaper and D. A. Karpeev and R. E. Camley},
15210  title         = {Normal Modes of Spin Excitation in Magnetic Nanoparticles},
15211  journal       = {Submitted to Phys. Rev. B.},
15212  note          = {Submitted},
15213  year          = {2003}
15214}
15215
15216@Article{         graysumpternoidbarnes01,
15217  author        = {S. K. Gray and B. G. Sumpter and D. W. Noid and M. d. Barnes},
15218  title         = {Quantum Mechanical Model of Localized Electrons on the Surface of Polymer
15219                  Nanospheres},
15220  journal       = {Chem. Phys. Lett.},
15221  volume        = {333},
15222  pages         = {308--313},
15223  year          = {2001}
15224}
15225
15226@InProceedings{   petsc-efficient,
15227  author        = {Satish Balay and William~D. Gropp and Lois Curfman McInnes and Barry~F. Smith},
15228  title         = {Efficient Management of Parallelism in Object Oriented Numerical Software
15229                  Libraries},
15230  booktitle     = {Modern Software Tools in Scientific Computing},
15231  editor        = {E. Arge and A.~M. Bruaset and H.~P. Langtangen},
15232  publisher     = {Birkh{\"{a}}user Press},
15233  pages         = {163--202},
15234  year          = {1997}
15235}
15236
15237@Article{         mumps01,
15238  author        = {Patrick R. Amestoy and Ian S. Duff and Jean-Yves L'Excellent and Jacko Koster},
15239  title         = {A fully asynchronous multifrontal solver using distributed dynamic scheduling},
15240  journal       = {SIAM Journal on Matrix Analysis and Applications},
15241  volume        = {23},
15242  number        = {1},
15243  pages         = {15--41},
15244  year          = {2001}
15245}
15246
15247@Article{         mumps19,
15248  title         = {{Performance and Scalability of the Block Low-Rank Multifrontal Factorization on
15249                  Multicore Architectures}},
15250  author        = {P.R. Amestoy and A. Buttari and J.-Y. L'Excellent and T. Mary},
15251  journal       = {ACM Transactions on Mathematical Software},
15252  volume        = {45},
15253  issue         = {1},
15254  pages         = {2:1--2:26},
15255  year          = {2019}
15256}
15257
15258@Article{         zoltan06,
15259  author        = {Karen D. Devine and Erik G. Boman and Robert T. Heaphy and \"Umit V.
15260                  \c{C}ataly\"urek and Robert H. Bisseling},
15261  title         = {Parallel Hypergraph Partitioning for Irregular Problems},
15262  journal       = {SIAM Parallel Processing for Scientific Computing},
15263  month         = feb,
15264  year          = {2006}
15265}
15266
15267@Article{         lidemmel03,
15268  author        = {Xiaoye S. Li and James W. Demmel},
15269  title         = {{SuperLU\_DIST}: a scalable distributed-memory sparse direct solver for
15270                  unsymmetric linear systems},
15271  journal       = {ACM Transactions on Mathematical Software},
15272  year          = {2003},
15273  month         = jun,
15274  volume        = {29},
15275  number        = {2},
15276  pages         = {110--140}
15277}
15278
15279@TechReport{      superlu,
15280  author        = {James W. Demmel and John R. Gilbert and Xiaoye S. Li},
15281  title         = {{SuperLU} Users' Guide},
15282  number        = {LBNL-44289},
15283  institution   = {Lawrence Berkeley National Laboratory},
15284  year          = {2003},
15285  url           = {http://crd.lbl.gov/\~xiaoye/SuperLU/}
15286}
15287
15288@TechReport{      trilinos-overview03,
15289  title         = {{An Overview of {T}rilinos}},
15290  author        = {Michael Heroux and Roscoe Bartlett and Vicki Howle Robert Hoekstra and Jonathan
15291                  Hu and Tamara Kolda and Richard Lehoucq and Kevin Long and Roger Pawlowski and
15292                  Eric Phipps and Andrew Salinger and Heidi Thornquist and Ray Tuminaro and James
15293                  Willenbring and Alan Williams},
15294  institution   = {Sandia National Laboratories},
15295  number        = {SAND2003-2927},
15296  year          = {2003}
15297}
15298
15299@TechReport{      trilinos-users-guide,
15300  title         = {{Trilinos} Users Guide},
15301  author        = {Michael A. Heroux and James M. Willenbring},
15302  institution   = {Sandia National Laboratories},
15303  number        = {SAND2003-2952},
15304  url           = {http://trilinos.sandia.gov/},
15305  year          = {2003}
15306}
15307
15308@Article{         pilut01,
15309  author        = {David Hysom and Alex Pothen},
15310  title         = {A scalable parallel algorithm for incomplete factor preconditioning},
15311  journal       = {SIAM Journal on Scientific Computing},
15312  volume        = {22},
15313  pages         = {2194--2215},
15314  year          = {2001}
15315}
15316
15317@TechReport{      boomeramg00,
15318  author        = {V.~E. Henson and U.~M. Yang},
15319  title         = {{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner},
15320  institution   = {Lawrence Livermore National Laboratory},
15321  number        = {UCRL-JC-133948},
15322  year          = {2000}
15323}
15324
15325@InCollection{    baker2012scaling,
15326  title         = {Scaling algebraic multigrid solvers: {O}n the road to exascale},
15327  author        = {Baker, Allison H. and Falgout, Robert D. and Gamblin, Todd and Kolev, Tzanio V.
15328                  and Schulz, Martin and Yang, Ulrike Meier},
15329  booktitle     = {Competence in High Performance Computing 2010},
15330  pages         = {215--226},
15331  year          = {2012},
15332  publisher     = {Springer}
15333}
15334
15335@Article{         knollkeyes:04,
15336  author        = {D. A. Knoll and D. E. Keyes},
15337  year          = {2004},
15338  title         = {Jacobian-free {Newton-Krylov} Methods: A Survey of Approaches and Applications},
15339  journal       = {J. Comp. Phys.},
15340  volume        = {193},
15341  pages         = {357-397}
15342}
15343
15344@Article{         chacon02,
15345  author        = {Luis Chacon and Dana A. Knoll and John M. Finn},
15346  title         = {An implicit nonlinear reduced resistive {MHD} solver},
15347  journal       = {J. Comput. Phys},
15348  volume        = {188},
15349  year          = {2002},
15350  pages         = {15--36}
15351}
15352
15353@Article{         mousseau03,
15354  author        = {V. A. Mousseau and D. A. Knoll},
15355  title         = {New Physics-based Preconditioning of Implicit Methods for Non-Equilibrium
15356                  Radiation Diffusion},
15357  journal       = {J. Comput. Physics},
15358  year          = {2003}
15359}
15360
15361@Article{         mousseau00,
15362  author        = {V. A. Mousseau and D. A. Knoll and W. J. Rider},
15363  title         = {Physics-based Preconditioning and the {Newton-Krylov} Method for Non-Equilibrium
15364                  Radiation Diffusion},
15365  journal       = {J. Comput. Physics},
15366  year          = {2000},
15367  pages         = {743--765},
15368  volume        = {160}
15369}
15370
15371@Unpublished{     facets:homepage,
15372  author        = {John {Cary (PI)}},
15373  title         = {{Framework Application for Core-Edge Transport Simulations (FACETS)}},
15374  note          = {Proto-FSP project, see \url{http://www.facetsproject.org}}
15375}
15376
15377@Unpublished{     cpes:homepage,
15378  author        = {{C.S.} {Chang (PI)}},
15379  title         = {{Center for Plasma Edge Simulation (CPES)}},
15380  note          = {Proto-FSP project, see \url{http://www.cims.nyu.edu/cpes}}
15381}
15382
15383@Misc{            epsi:homepage,
15384  author        = {{C.S.} {Chang (PI)}},
15385  title         = {{Center for Edge Physics Simulation (EPSI)}},
15386  note          = {\url{http://epsi.pppl.gov}}
15387}
15388
15389@Unpublished{     groundwater-scidac2:web,
15390  author        = {Peter {Lichtner (PI)}},
15391  title         = {Modeling Multiscale-Multiphase-Multicomponent Subsurface Reactive Flows Using
15392                  Advanced Computing},
15393  howpublished  = {http://www.scidac.gov/groundwater/gwflow.html}
15394}
15395
15396@Misc{            pflotran:web,
15397  author        = {Peter {Lichtner (PI)}},
15398  title         = {{Modeling Multiscale-Multiphase-Multicomponent Subsurface Reactive Flows Using
15399                  Advanced Computing}},
15400  note          = {\url{http://ees.lanl.gov/pflotran/}}
15401}
15402
15403@Misc{            accel-scidac2-solicitation,
15404  author        = {{DOE Office of Science}},
15405  title         = {{Program Announcement LAB 07-09, SciDAC: Accelerator Science and Simulation}},
15406  year          = {2006},
15407  note          = {\url{http://www.science.doe.gov/grants/LAB07_09.html}}
15408}
15409
15410@Article{         nieter04,
15411  author        = {C. Nieter and J. R. Cary},
15412  title         = {{VORPAL}: A Versatile Plasma Simulation Code},
15413  journal       = {J. Comp. Phys.},
15414  year          = {2004},
15415  volume        = {196},
15416  pages         = {448}
15417}
15418
15419@Article{         synergia06,
15420  author        = {J. Amundson and P. Spentzouris and J. Qiang and R. Ryne},
15421  title         = {Synergia: An accelerator modeling tool with {3-D} space charge},
15422  journal       = {J. Comp. Phys.},
15423  year          = {2006},
15424  volume        = {211},
15425  pages         = {229-248}
15426}
15427
15428@Unpublished{     stoltz07,
15429  author        = {P. H. Stoltz},
15430  title         = {Maps of {RF} cavities generated from electromagnetic simulations},
15431  year          = {2007},
15432  note          = {to appear in Proceedings of the 2007 Particle Accelerator Conference (PAC07),
15433                  Albuquerque, NM, 2007}
15434}
15435
15436@Misc{            iter:homepage,
15437  key           = {{International Thermonuclear Experimental Reactor (ITER) homepage}},
15438  year          = {2007},
15439  title         = {{International Thermonuclear Experimental Reactor (ITER) homepage}},
15440  howpublished  = {\url{http://www.iter.org}}
15441}
15442
15443@Misc{            epp2010,
15444  author        = {{Committee on Elementary Particle Physics in the 21st Century, National Research
15445                  Council}},
15446  title         = {Revealing the Hidden Nature of Space and Time: Charting the Course for Elementary
15447                  Particle Physics},
15448  year          = {2006},
15449  howpublished  = {The National Academies Press, ISBN: 0309101948}
15450}
15451
15452@Misc{            post-fsp-report,
15453  author        = {D.~E.~Post and D.~B.~Batchelor and R.~B.~Bramley and J.~R.~Cary and R.~H.~Cohen
15454                  and P.~Colella and S.~C.~Jardin},
15455  title         = {{Report of Fusion Simulation Project Steering Committee}},
15456  month         = aug,
15457  year          = {2004},
15458  note          = {Available via \url{http://w3.pppl.gov/usjapanim/FSPReport.pdf}}
15459}
15460
15461@Misc{            fsp:workshop2011,
15462  key           = {{Fusion Simulation Project (FSP) Planning Workshop}},
15463  title         = {{Fusion Simulation Project (FSP) Planning Workshop}},
15464  month         = feb,
15465  year          = {2011},
15466  note          = {\url{https://ice.txcorp.com/trac/2011_FspDefinitionWorkshop}}
15467}
15468
15469@Book{            hazeltine-meiss-book,
15470  author        = {R.~D.~Hazeltine and J.~D.~Meiss},
15471  title         = {Plasma Confinement},
15472  year          = {1991},
15473  publisher     = {Addison-Wesley, Redwood City, CA}
15474}
15475
15476@Article{         falgout05a,
15477  author        = {R. D. Falgout and J. E. Jones and U. M. Yang},
15478  title         = {Conceptual Interfaces in hypre},
15479  journal       = {Future Generation Computer Systems},
15480  note          = {Special issue on PDE software},
15481  volume        = {22},
15482  year          = {2005},
15483  pages         = {239--251}
15484}
15485
15486@Article{         falgout05b,
15487  author        = {R. D. Falgout and J. E. Jones and U. M. Yang},
15488  title         = {Pursuing Scalability for hypre's Conceptual Interfaces},
15489  journal       = {ACM Trans. Math. Softw.},
15490  volume        = {31},
15491  year          = {2005},
15492  pages         = {326--350}
15493}
15494
15495@Unpublished{     compass:homepage,
15496  author        = {Panagiotis {Spentzouris (PI)}},
15497  title         = {Community Petascale Project for Accelerator Science and Simulation (ComPASS)},
15498  note          = {SciDAC2 project, see \url{https://compass.fnal.gov/}}
15499}
15500
15501@Unpublished{     cmsnf:homepage,
15502  author        = {{Todd Allen, Director}},
15503  title         = {{Center for Materials Science of Nuclear Fuel}},
15504  note          = {Energy Frontier Research Center, see
15505                  \url{https://inlportal.inl.gov/portal/server.pt/community/center_for_materials_science_of_nuclear_fuel}}
15506}
15507
15508@Unpublished{     dvi-materials:project,
15509  author        = {{L.~C.} {McInnes (PI)}},
15510  title         = {Large-Scale Differential Variational Inequalities for Heterogeneous Materials},
15511  note          = {{SciDAC}-e project},
15512  year          = {2011}
15513}
15514
15515@Misc{            scidac:homepage,
15516  author        = {{DOE Office of Science}},
15517  title         = {{Scientific Discovery through Advanced Computing}},
15518  year          = {2007},
15519  howpublished  = {\url{http://www.scidac.gov}}
15520}
15521
15522@Misc{            corba,
15523  author        = {{Object Management Group}},
15524  year          = {2007},
15525  title         = {{Common Object Request Broker Architecture (CORBA)}},
15526  howpublished  = {\url{http://www.corba.org}}
15527}
15528
15529@Article{         uedge,
15530  author        = {T.~D. Rognlien and D.~D. Ryutov and N. Mattor and G.~D. Porter},
15531  title         = {Two-Dimensional Electric Fields and Drifts near the Magnetic Separatrix in
15532                  Divertor Tokamak},
15533  journal       = {J. Plasma Physics},
15534  year          = {1999},
15535  volume        = {6},
15536  pages         = {1851},
15537  note          = {also see user manual at http://www.mfescience.org, then UEDGE link}
15538}
15539
15540@Article{         bout,
15541  author        = {X.~Q. Xu and R.~H. Cohen and T.~D. Rognlien and J.~R. Myra},
15542  title         = {Low-to-High Confinement Transition Simulations in Divertor Geometry},
15543  journal       = {J. Plasma Physics},
15544  year          = {2000},
15545  volume        = {7},
15546  pages         = {1951},
15547  note          = {}
15548}
15549
15550@Article{         bout++,
15551  author        = {B. Dudson and M. Umansky and X.~Q. Xu and P. B. Snyder and H. R. Wilson},
15552  title         = {{BOUT++}: A Framework for Parallel Plasma Fluid Simulations},
15553  journal       = {Computer Physics Communications},
15554  year          = {2009},
15555  volume        = {180},
15556  issue         = {9},
15557  pages         = {1467 -- 1480},
15558  note          = {}
15559}
15560
15561@Article{         tempest,
15562  author        = {Z. Xiong and X.Q. Xu and B.I. Cohen and R. Cohen and M.R. Dorr and J.A. Hittinger
15563                  and G. Kerbel and W.M. Nevins and T. Rognlien},
15564  title         = {Simulation of Plasma Transport in a Toroidal Annulus with TEMPEST},
15565  journal       = {Bull. Am. Phys. Soc. },
15566  year          = {2005},
15567  volume        = {50},
15568  number        = {86},
15569  pages         = {CP1},
15570  note          = {}
15571}
15572
15573@Article{         ccahpc,
15574  author        = {David E. Bernholdt and Benjamin A. Allan and Robert Armstrong and Felipe Bertrand
15575                  and Kenneth Chiu and Tamara L. Dahlgren and Kostadin Damevski and Wael R. Elwasif
15576                  and Thomas G. W. Epperly and Madhusudhan Govindaraju and Daniel S. Katz and James
15577                  A. Kohl and Manoj Krishnan and Gary Kumfert and J. Walter Larson and Sophia
15578                  Lefantzi and Michael J. Lewis and Allen D. Malony and Lois C. McInnes and Jarek
15579                  Nieplocha and Boyana Norris and Steven G. Parker and Jaideep Ray and Sameer Shende
15580                  and Theresa L. Windus and Shujia Zhou},
15581  title         = {A Component Architecture for High-Performance Scientific Computing},
15582  journal       = {Intl. J. High-Perf. Computing Appl.},
15583  volume        = {20},
15584  pages         = {163--202},
15585  year          = {2006},
15586  note          = {ACTS Collection special issue}
15587}
15588
15589@Misc{            cca-forum:homepage,
15590  author        = {{Common Component Architecture Forum}},
15591  note          = {\url{http://www.cca-forum.org}},
15592  year          = {2010}
15593}
15594
15595@Misc{            petsc:driven-cavity-example,
15596  title         = {{PETSc Driven Cavity Example Code}},
15597  author        = {B. F. {Smith et al.}},
15598  howpublished  = {\url{https://petsc.org/release/src/snes/tutorials/ex19.c.html}}
15599}
15600
15601@Misc{            petsc-dm:webpage,
15602  author        = {B. F. {Smith et al.}},
15603  title         = {{PETSc DM Webpage}},
15604  howpublished  = {\url{https://petsc.org/release/manualpages/DM/}},
15605  year          = {2018}
15606}
15607
15608@Misc{            unic-ref,
15609  author        = {Giuseppe Palmiotti},
15610  title         = {{UNIC} Neutronics Software},
15611  note          = {Nuclear Engineering Division, Argonne National Laboratory}
15612}
15613
15614% -----------------------------------------------------------------------
15615% Model coupling refs
15616@Book{            greve-blatter,
15617  author        = {Ralf Greve and Heinz Blatter},
15618  title         = {Dynamics of Ice Sheets and Glaciers},
15619  series        = {Advances in Geophysical and Environmental Mechanics and Mathematics},
15620  publisher     = {Springer},
15621  year          = {2009}
15622}
15623
15624@Misc{            doe-isicles,
15625  key           = {ISICLES},
15626  title         = {Ice {S}heet {I}nitiative for {CL}-imate {E}xtreme{S}},
15627  howpublished  = {\url{http://www.csm.ornl.gov/ISICLES/index.html}}
15628}
15629
15630@Article{         safta2011tchem,
15631  title         = {TChem-a software toolkit for the analysis of complex kinetic models},
15632  author        = {Safta, Cosmin and Najm, Habib N and Knio, Omar},
15633  journal       = {Sandia Report, SAND2011-3282},
15634  year          = {2011}
15635}
15636
15637@Misc{            chemkin-website,
15638  key           = {chemkin},
15639  title         = {ANSYS Chemkin-Pro Website},
15640  howpublished  = {\url{http://www.ansys.com/products/fluids/ansys-chemkin-pro}},
15641  year          = {2017}
15642}
15643
15644@Misc{            mct-website,
15645  key           = {MCT},
15646  title         = {{M}odel {C}oupling {T}oolkit ({MCT}) {W}eb {S}ite},
15647  howpublished  = {\url{http://www.mcs.anl.gov/mct}}
15648}
15649
15650@Article{         larson:05,
15651  author        = {Jay Larson and Robert Jacob and Everest Ong},
15652  title         = {{The Model Coupling Toolkit}: A New {Fortran90} Toolkit for Building
15653                  Multi-Physics Parallel Coupled Models},
15654  journal       = {Int. J. High Perf. Comp. App.},
15655  year          = {2005},
15656  pages         = {277--292}
15657}
15658
15659@Article{         dennis2012computational,
15660  title         = {Computational performance of ultra-high-resolution capability in the Community
15661                  Earth System Model},
15662  author        = {Dennis, John M and Vertenstein, Mariana and Worley, Patrick H and Mirin, Arthur A
15663                  and Craig, Anthony P and Jacob, Robert and Mickelson, Sheri},
15664  journal       = {International Journal of High Performance Computing Applications},
15665  volume        = {26},
15666  number        = {1},
15667  pages         = {5--16},
15668  year          = {2012},
15669  publisher     = {SAGE Publications}
15670}
15671
15672@InProceedings{   bettge01,
15673  author        = {T. Bettge and A. Craig and R. James and V. Wayland and G. Strand},
15674  year          = {2001},
15675  title         = {The {DOE} Parallel Climate Model {(PCM)}: The Computational Highway and
15676                  Backroads},
15677  booktitle     = {Proc. International Conference on Computational Science (ICCS) 2001},
15678  editors       = {V. N. Alexandrow and J. J. Dongarra and C. J. K. Tan},
15679  pages         = {148 -- 156},
15680  series        = {Lecture Notes in Computer Science},
15681  volume        = {2073},
15682  publisher     = {Springer-Verlag}
15683}
15684
15685@InProceedings{   jacob01,
15686  author        = {R. Jacob and C. Schafer and I. Foster and M. Tobis and J. Anderson},
15687  year          = {2001},
15688  title         = {Computational Design and Performance of the {Gast} Ocean Atmosphere Model},
15689  booktitle     = {Proc. International Conference on Computational Science (ICCS) 2001},
15690  editors       = {V. N. Alexandrow and J. J. Dongarra and C. J. K. Tan},
15691  series        = {Lecture Notes in Computer Science},
15692  volume        = {2073},
15693  publisher     = {Springer-Verlag}
15694}
15695
15696@Article{         chen2008new,
15697  title         = {New generation of multi-scale {NWP} system {(GRAPES)}: General scientific
15698                  design},
15699  author        = {Chen, DeHui and Xue, JiShan and Yang, XueSheng and Zhang, HongLiang and Shen,
15700                  XueShun and Hu, JiangLin and Wang, Yu and Ji, LiRen and Chen, JiaBin},
15701  journal       = {Chinese Science Bulletin},
15702  volume        = {53},
15703  number        = {22},
15704  pages         = {3433--3445},
15705  year          = {2008},
15706  publisher     = {Springer}
15707}
15708
15709@InProceedings{   baum01,
15710  author        = {J. Baum and H. Luo and E. Mestreau and D. Sharov and R. Loehner and D. Pelessone
15711                  and C. Charman},
15712  year          = {2001},
15713  title         = {Recent Developments of a Coupled {CFD/CSD} Methodology},
15714  booktitle     = {Proc. International Conference on Computational Science (ICCS) 2001},
15715  editors       = {V. N. Alexandrow and J. J. Dongarra and C. J. K. Tan},
15716  series        = {Lecture Notes in Computer Science},
15717  volume        = {2073},
15718  publisher     = {Springer-Verlag}
15719}
15720
15721@InProceedings{   lefantzi03,
15722  author        = {S. Lefantzi and J. Ray},
15723  year          = {2003},
15724  title         = {A Component-based Scientific Toolkit for Reacting Flows},
15725  booktitle     = {Proc. Second MIT Conference on Computational Fluid and Solid Mechanics},
15726  volume        = {2},
15727  publisher     = {Elsevier}
15728}
15729
15730@Article{         boville98,
15731  author        = {B. A. Boville and P. R. Gent},
15732  title         = {The {NCAR} Climate System Model, Version One},
15733  journal       = {Journal of Climate},
15734  volume        = {11},
15735  year          = {1998},
15736  pages         = {1115--1130}
15737}
15738
15739@Misc{            paraschivoiu99,
15740  author        = {M. Paraschivoiu and X.-C. Cai and M. Sarkis and D. P. Young and D. Keyes},
15741  title         = {Multi-domain multi-model formulation for compressible flows: Conservative
15742                  interface coupling and parallel implicit solvers for {3D} unstructured meshes},
15743  note          = {AIAA Paper 99-0784},
15744  year          = {1999}
15745}
15746
15747@Article{         peszynska,
15748  author        = {M. Peszynska and M. F. Wheeler and I. Yotov},
15749  title         = {Mortar upscaling for multiphysics flow in porous media},
15750  journal       = {Computational Geosciences}
15751}
15752
15753@TechReport{      wheeler00,
15754  author        = {M. F. Wheeler and J. Wheeler and M. Peszynska},
15755  title         = {A distributed computing portal for coupling multi-physics and multiple domains in
15756                  porous media},
15757  institution   = {University of Texas at Austin},
15758  number        = {TICAM 00-03},
15759  year          = {2000}
15760}
15761
15762@TechReport{      peszynska00,
15763  author        = {M. Peszynska and Q. Lu and M. F. Wheeler},
15764  title         = {Multiphysics Coupling of Codes},
15765  institution   = {University of Texas at Austin},
15766  number        = {TICAM 00-02},
15767  year          = {2000}
15768}
15769
15770@Article{         joshaghanijoodatnakshatrala2019,
15771  title         = {A stabilized mixed discontinuous Galerkin formulation for double
15772                  porosity/permeability model},
15773  author        = {MS Joshaghani and SHS Joodat and KB Nakshatrala},
15774  journal       = {Computer Methods in Applied Mechanics and Engineering},
15775  volume        = {352},
15776  pages         = {508--560},
15777  year          = {2019}
15778}
15779
15780@InProceedings{   cai99,
15781  author        = {X.-C. Cai and M. Paraschivoiu and M. Sarkis},
15782  title         = {An explicit multi-model compressible flow formulation based on the full potential
15783                  equation and the {Euler} equations on {3D} unstructured meshes},
15784  booktitle     = {Proceedings of the 11th International Conference on Domain Decomposition
15785                  Methods},
15786  editor        = {C-H. Lai and P. Bjorstad and M. Cross and O. Widlund},
15787  year          = {1999}
15788}
15789
15790@Article{         he05,
15791  author        = {Yun He and Chris H. Q. Ding},
15792  title         = {Coupling Multi-Component Models with {MPH} on Distributed Memory Computer
15793                  Architectures},
15794  year          = {2005},
15795  volume        = {19},
15796  pages         = {329--240},
15797  number        = {3},
15798  journal       = {Int. Journal of High Performance Computing Applications}
15799}
15800
15801@InProceedings{   uiuc-rocket-center02,
15802  author        = {W. A. Dick and M. T. Heath},
15803  title         = {Whole System Simulation of Solid Propellant Rockets},
15804  booktitle     = {Proceedings of the AIAA Joint Propulsion Conference, AIAA2002-4345},
15805  month         = jul,
15806  year          = {2002}
15807}
15808
15809@InProceedings{   toth04,
15810  author        = {G. Toth and O. Volberg and A. J. Ridley and T. I Gombosi and D. DeZeeuw and K. W.
15811                  Hansen and D. R. Chesney and Q. F. Stout and K. G. Powell and K. Kane and R.
15812                  Oehmke},
15813  title         = {A Physics-Based Software Framework for Sun-Earth Connection Modeling},
15814  editor        = {A. T. Y. Lui and Y. Kamide and G. Consolini},
15815  booktitle     = {Multiscale Coupling of Sun-Earth Processes, Proceedings of the Conference on the
15816                  Sun-Earth Connection},
15817  year          = {2004},
15818  publisher     = {Elsevier},
15819  pages         = {383--397}
15820}
15821
15822@Misc{            csdrm:web,
15823  author        = {M. Aivazis and B. Goddard and D. Meiron and M. Ortiz and J. Pool and J.
15824                  Shepherd},
15825  title         = {{Center for Simulation of Dynamic Response of Materials}},
15826  note          = {California Institute of Technology, see \url{http://csdrm.caltech.edu}}
15827}
15828
15829@Misc{            csar:web,
15830  author        = {M. {Heath (Director)}},
15831  title         = {{Center for Simulation of Advanced Rockets}},
15832  note          = {University of Illinois at Urbana-Champaign, see \url{http://www.csar.uiuc.edu}}
15833}
15834
15835@Misc{            csafe:web,
15836  author        = {D. {Pershing (Director)}},
15837  title         = {{Center for Simulation of Accidental Fires and Explosions}},
15838  note          = {University of Utah, see \url{http://www.csafe.utah.edu}}
15839}
15840
15841@Misc{            cits:web,
15842  author        = {P. {Moin (Director)}},
15843  title         = {{Center for Integrated Turbulence Simulations}},
15844  note          = {Stanford University, see \url{http://www.stanford.edu/group/cits}}
15845}
15846
15847@Misc{            flash:web,
15848  author        = {D. {Lamb (Director)}},
15849  title         = {{Center for Integrated Turbulence Simulations}},
15850  note          = {University of Chicago, see \url{http://flash.uchicago.edu}}
15851}
15852
15853@TechReport{      utah-csafe03,
15854  author        = {J. Guilkey and T. Harman and A. Xia and B. Kashiwa and P. McMurtry},
15855  title         = {An Eulerian-Lagrangian Approach for Large Deformation Fluid Structure Interaction
15856                  Problems, Part 1: Algorithm Development},
15857  institution   = {University of Utah, Center for the Simulation of Accidental Fires and
15858                  Explosions},
15859  year          = {2003}
15860}
15861
15862@InBook{          shepherd07,
15863  author        = {M. Shepherd and E. Seol and B. FrantzDale},
15864  title         = {Toward a Multi-Model Hierarchy to Support Multiscale Simulations},
15865  year          = {2007},
15866  booktitle     = {CRC Handbook of Dynamic System Modeling},
15867  publisher     = {Wiley},
15868  pages         = {1--41},
15869  note          = {also available as SCOREC Report 2007-2, Rensselaer Polytechnic Institute}
15870}
15871
15872@InProceedings{   cactus02,
15873  author        = {Tom Goodale and Gabrielle Allen and Gerd Lanfermann and Joan Masso and Thomas
15874                  Radke and Edward Seidel and John Shalf},
15875  title         = {The {Cactus} Framework and Toolkit: Design and Applications},
15876  booktitle     = {VECPAR'2002, 5th International Conference, Lecture Notes in Computer Science},
15877  year          = {2002},
15878  url           = {http://www.cactuscode.org/Papers/VecPar_2002.pdf}
15879}
15880
15881@Misc{            cactus:homepage,
15882  author        = {G. {Allen et al.}},
15883  title         = {{Cactus Web page}},
15884  howpublished  = {\url{http://cactuscode.org}}
15885}
15886
15887@Misc{            open-grid-forum:web,
15888  key           = {{Open Grid Forum}},
15889  title         = {{Open Grid Forum}},
15890  note          = {See \url{http://www.ogf.org}}
15891}
15892
15893@Misc{            nox:web,
15894  author        = {Tamara Kolda and Roger {Pawlowski et al.}},
15895  title         = {Nonlinear Object-Oriented Solutions {(NOX)}},
15896  note          = {See \url{http://software.sandia.gov/nox}}
15897}
15898
15899@Misc{            chombo:web,
15900  author        = {P. {Colella (PI)}},
15901  title         = {{Chombo}},
15902  note          = {See \url{http://seesar.lbl.gov/anag/chombo}}
15903}
15904
15905@Article{         lanzkron96,
15906  author        = {P. J. Lanzkron and D. J. Rose and J. T. Wilkes},
15907  title         = {An Analysis of Approximate Nonlinear Elimination},
15908  journal       = {SIAM J. Sci. Comput.},
15909  volume        = {17},
15910  year          = {1996},
15911  pages         = {538--559}
15912}
15913
15914@Article{         jiang95,
15915  author        = {J. Jiang and P. Forsyth},
15916  title         = {Robust Linear and Nonlinear Strategies for Solution of the Transonic {Euler}
15917                  Equations},
15918  journal       = {Computers and Fluids},
15919  volume        = {24},
15920  pages         = {753--770},
15921  year          = {1995}
15922}
15923
15924@Article{         young90,
15925  author        = {D. Young and R. Melbin and M. Bieterman and F. Johnson and S. Samant},
15926  title         = {Global Convergence of Inexact {Newton} Methods for Transonic Flow},
15927  journal       = {Int. J. Numer. Methods Fluids},
15928  volume        = {11},
15929  pages         = {1075--1095},
15930  year          = {1990}
15931}
15932
15933@Article{         fishwick04,
15934  author        = {Paul A. Fishwick},
15935  title         = {Toward an Integrated Multimodeling Interface: A Human-Computer Interface Approach
15936                  to Interrelating Model Structures},
15937  journal       = {SCS Trans. on Simulation},
15938  note          = {Special Issue in Grand Challenges in Computer Simulation},
15939  year          = {2004}
15940}
15941
15942@Article{         fishwick03,
15943  author        = {Paul Fishwick and Jinho Lee and Minho Park and Jyunju Shim},
15944  title         = {{RUBE}: A Customized {2D} and {3D} Modeling Framework for Simulation},
15945  booktitle     = {Proceedings of the 2003 Winter Simulation Conference},
15946  editor        = {S. Chick and P. J. Sanchez and D. Ferrin and D. J. Morrice},
15947  year          = {2003}
15948}
15949
15950@InProceedings{   kirner00,
15951  author        = {T. G. Kirner and V. F. Martins},
15952  title         = {Development of an Information Visualization Tool Using Virtual Reality},
15953  booktitle     = {Proceedings of the 2000 ACM Symposium on Applied Computing},
15954  year          = {2000},
15955  pages         = {604--606}
15956}
15957
15958@InProceedings{   orso03,
15959  author        = {A. Orso and J. Jones and M. J. Harrold},
15960  title         = {Visualization of Program-Execution Data for Deployed Software},
15961  booktitle     = {Proceedings of the 2003 ACM Symposium on Software Visualization},
15962  year          = {2003},
15963  pages         = {67--76}
15964}
15965
15966@Book{            tiller01,
15967  author        = {M. Tiller},
15968  title         = {Introduction to Physical System Modeling with Modelica},
15969  series        = {Kluwer International Series inEngineering and Computer Science},
15970  volume        = {615},
15971  publisher     = {Kluwer},
15972  year          = {2001}
15973}
15974
15975@Article{         buck94,
15976  author        = {J. Buck and S. Ha and E. Lee and D. Messerschmitt},
15977  title         = {Ptolemy: A Framework for Simulating and Prototyping Heterogeneous Systems},
15978  journal       = {Int. Journal of Computer Simulation},
15979  volume        = {4},
15980  pages         = {155--182},
15981  year          = {1994}
15982}
15983
15984@Article{         mu95,
15985  author        = {M. Mu and J.R. Rice},
15986  title         = {Modeling with collaborating {PDE} solvers - Theory and practice},
15987  journal       = {Comp. Syst. Engr.},
15988  volume        = {6},
15989  year          = {1995},
15990  pages         = {87--95}
15991}
15992
15993@TechReport{      drashansky96,
15994  title         = {Multidisciplinary Problem Solving using Agents in a Cluster Environment},
15995  author        = {R. Drashansky and A. Joshi and J. R. Rice},
15996  institution   = {Emory Universtity, Department of Mathematics and Computer Science},
15997  year          = {1996}
15998}
15999
16000@Article{         michopoulos05,
16001  title         = {Survey on Modeling and Simulation of Multiphysics Systems},
16002  author        = {John G. Michopoulos and Charbel Farhat and Jacob Fish},
16003  journal       = {Journal of Computing and Information Science in Engineering},
16004  volume        = {5},
16005  issue         = {3},
16006  pages         = {198--213},
16007  year          = {2005}
16008}
16009
16010@Article{         dubey09,
16011  title         = {Extensibe Component-Based Architecture for {FLASH}, a Massively Parallel
16012                  Multiphysics Simulation Code},
16013  author        = {A. Dubey and K. Antypass and M. Ganapathy and L. Reid and D. Sheeler and A.
16014                  Siegel and K. Weide},
16015  journal       = {Parallel Computing},
16016  volume        = {35},
16017  issue         = {10 -- 11},
16018  pages         = {512 -- 522},
16019  year          = {2009}
16020}
16021
16022@Book{            bottloring95,
16023  author        = {Raoul Bott and Loring W. Tu},
16024  title         = {Differential Forms in Algebraic Topology},
16025  publisher     = {Springer},
16026  year          = {1995}
16027}
16028
16029@Book{            kobayashinomizu96,
16030  author        = {Shoshichi Kobayashi and Katsumi Nomizu},
16031  title         = {Foundations of Differential Geometry},
16032  publisher     = {Wiley-Interscience},
16033  year          = {1996}
16034}
16035
16036@Article{         hornungkohn02,
16037  author        = {Richard D. Hornung and Scott R. Kohn},
16038  title         = {Managing Application Complexity in the SAMRAI Object-Oriented Framework},
16039  journal       = {Concurrency and Computation: Practice and Experience},
16040  volume        = {14},
16041  pages         = {347--368},
16042  year          = {2002}
16043}
16044
16045@InProceedings{   concepts06,
16046  author        = {Douglas Gregor and Jaakko J{\"a}rvi and Jeremy Siek and Bjarne Stroustrup and
16047                  Gabriel Dos Reis and Andrew Lumsdaine},
16048  title         = {Concepts: Linguistic Support for Generic Programming in C++},
16049  booktitle     = {Proceedings of OOPSLA 2006},
16050  year          = {2006},
16051  pages         = {???--???}
16052}
16053
16054@Book{            hatcher02,
16055  author        = {Hatcher, Allen},
16056  title         = {Algebraic Topology},
16057  publisher     = {Cambridge University Press},
16058  year          = {2002}
16059}
16060
16061@Book{            gammahelmjohnsonvlissides95,
16062  abstract      = {{Design Patterns is a modern classic in the literature of object-oriented
16063                  development, offering timeless and elegant solutions to common problems in
16064                  software design. It describes patterns for managing object creation, composing
16065                  objects into larger structures, and coordinating control flow between objects. The
16066                  book provides numerous examples where using composition rather than inheritance
16067                  can improve the reusability and flexibility of code. Note, though, that it's not a
16068                  tutorial but a catalog that you can use to find an object-oriented design pattern
16069                  that's appropriate for the needs of your particular application--a selection for
16070                  virtuoso programmers who appreciate (or require) consistent, well-engineered
16071                  object-oriented designs.} {Now on CD, this internationally acclaimed bestseller is
16072                  more valuable than ever!
16073
16074                  Use the contents of the CD to create your own design documents and reusable
16075                  components. The CD contains: 23 patterns you can cut and paste into your own
16076                  design documents; sample code demonstrating pattern implementation; complete
16077                  Design Patterns content in standard HTML format, with numerous hyperlinked
16078                  cross-references; accessed through a standard web browser; Java-based dynamic
16079                  search mechanism, enhancing online search capabilities; graphical user environment,
16080                  allowing ease of navigation.
16081
16082                  First published in 1995, this landmark work on object-oriented software design
16083                  presents a catalog of simple and succinct solutions to common design problems.
16084                  Created by four experienced designers, the 23 patterns contained herein have
16085                  become an essential resource for anyone developing reusable object-oriented
16086                  software. In response to reader demand, the complete text and pattern catalog are
16087                  now available on CD-ROM. This electronic version of Design Patterns enables
16088                  programmers to install the book directly onto a computer or network for use as an
16089                  online reference for creating reusable object-oriented software.
16090
16091                  The authors first describe what patterns are and how they can help you in the
16092                  design process. They then systematically name, explain, evaluate, and catalog
16093                  recurring designs in object-oriented systems. All patterns are compiled from
16094                  real-world examples and include code that demonstrates how they may be implemented
16095                  in object-oriented programming languages such as C++ and Smalltalk. Readers who
16096                  already own the book will want the CD to take advantage of its dynamic search
16097                  mechanism and ready-to-install patterns.}},
16098  author        = {Gamma, Erich and Helm, Richard and Johnson, Ralph and Vlissides, John},
16099  citeulike-article-id={115158},
16100  howpublished  = {Hardcover},
16101  isbn          = {0201633612},
16102  keywords      = {1995 algorithms architecture book books computer computing design design-pattern
16103                  design-patterns design_patterns designpatterns development diplom entwurfsmuster
16104                  four gang gof java mathgamespatterns no-tag object object-orientation
16105                  object-oriented of oo-patterns oop oriented pattern patterns programming se
16106                  software software-development software-engineering software_design
16107                  softwareengineering standard},
16108  month         = jan,
16109  publisher     = {{Addison-Wesley Professional}},
16110  title         = {Design Patterns},
16111  url           = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike04-20{\&}path=ASIN/0201633612},
16112  year          = {1995}
16113}
16114
16115@InProceedings{   chaco95,
16116  author        = {Bruce Hendrickson and Robert Leland},
16117  title         = {A multilevel algorithm for partitioning graphs},
16118  booktitle     = {Supercomputing '95: Proceedings of the 1995 ACM/IEEE Conference on Supercomputing
16119                  (CDROM)},
16120  year          = {1995},
16121  isbn          = {0-89791-816-9},
16122  pages         = {28},
16123  location      = {San Diego, California, United States},
16124  doi           = {10.1145/224170.224228},
16125  publisher     = {ACM Press},
16126  address       = {New York}
16127}
16128
16129@Book{            aleksandrov98,
16130  author        = {Aleksandrov, Pavel S.},
16131  title         = {Combinatorial Topology},
16132  publisher     = {Dover},
16133  volume        = {3},
16134  year          = {1998}
16135}
16136
16137@Book{            steenrod99,
16138  abstract      = {{ Fibre bundles, now an integral part of differential geometry, are also of great
16139                  importance in modern physics--such as in gauge theory. This book, a succinct
16140                  introduction to the subject by renown mathematician Norman Steenrod, was the first
16141                  to present the subject systematically.
16142
16143                  It begins with a general introduction to bundles, including such topics as
16144                  differentiable manifolds and covering spaces. The author then provides brief
16145                  surveys of advanced topics, such as homotopy theory and cohomology theory, before
16146                  using them to study further properties of fibre bundles. The result is a classic
16147                  and timeless work of great utility that will appeal to serious mathematicians and
16148                  theoretical physicists alike. }},
16149  author        = {Steenrod, Norman},
16150  citeulike-article-id={712999},
16151  howpublished  = {Paperback},
16152  isbn          = {0691005486},
16153  keywords      = {fibre_bundles topology},
16154  month         = apr,
16155  publisher     = {{Princeton University Press}},
16156  title         = {The Topology of Fibre Bundles. (PMS-14)},
16157  url           = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike04-20{\&}path=ASIN/0691005486},
16158  year          = {1999}
16159}
16160
16161@Book{            bredon97,
16162  author        = {Bredon, Glen E.},
16163  title         = {Sheaf Theory},
16164  publisher     = {Springer},
16165  pages         = {524},
16166  series        = {Graduate Texts in Mathematics},
16167  year          = {1997}
16168}
16169
16170@TechReport{      tautgesmeyers04,
16171  title         = {{MOAB}: A Mesh-Oriented Database},
16172  author        = {Timothy J. Tautges and Ray Meyers and Karl Merkley and Clint Stimpson and Corey
16173                  Ernst},
16174  institution   = {Sandia National Laboratories},
16175  number        = {SAND2004-1592},
16176  month         = apr,
16177  year          = {2004}
16178}
16179
16180@Article{         tautges04,
16181  author        = {Timothy J. Tautges},
16182  title         = {{MOAB}-{SD}: Integrated Structured and Unstructured Mesh Representation},
16183  journal       = {Engineering With Computers},
16184  volume        = {20},
16185  pages         = {286--293},
16186  year          = {2004}
16187}
16188
16189@InProceedings{   meyers02,
16190  author        = {Ray Meyers et. al},
16191  title         = {{SNL} Implementation of the {TSTT} Mesh Interface},
16192  booktitle     = {8th International conference on numerical grid generation in computational field
16193                  simulations},
16194  month         = jun,
16195  year          = {2002}
16196}
16197
16198@InProceedings{   seolshepard05,
16199  author        = {E. S. Seol and Mark S. Shephard},
16200  title         = {A Flexible Distributed Mesh Data Structure to Support Parallel Adaptive
16201                  Analysis},
16202  booktitle     = {Proceedings of the 8th US National Congress on Computational Mechanics},
16203  year          = {2005}
16204}
16205
16206@Article{         lishephardbeall2005,
16207  title         = {3D anisotropic mesh adaptation by mesh modification},
16208  author        = {Xiangrong Li and Mark S Shephard and Mark W Beall},
16209  journal       = {Computer methods in applied mechanics and engineering},
16210  volume        = {194},
16211  number        = {48-49},
16212  pages         = {4915--4950},
16213  year          = {2005},
16214}
16215
16216@Article{         lushephardtendulkarbeall2014,
16217  title         = {Parallel mesh adaptation for high-order finite element methods with curved element geometry},
16218  author        = {Qiukai Lu and Mark S Shephard and Saurabh Tendulkar and Mark W Beall},
16219  journal       = {Engineering with Computers},
16220  volume        = {30},
16221  pages         = {271--286},
16222  year          = {2014},
16223}
16224
16225@Article{         beallwalshshephard04,
16226  author        = {Mark W. Beall and Joe Walsh and Mark S. Shephard},
16227  title         = {A comparison of techniques for geometry access related to mesh generation},
16228  journal       = {Engineering With Computers},
16229  volume        = {20},
16230  number        = {3},
16231  pages         = {210--221},
16232  year          = {2004}
16233}
16234
16235@Article{         careyandersoncarneskirk04,
16236  author        = {Graham F. Carey and Michael L. Anderson and Brian R. Carnes and Benjamin S.
16237                  Kirk},
16238  title         = {Some aspects of adaptive grid technology related to boundary and interior
16239                  layers},
16240  journal       = {Journal of Computational Applied Mathematics},
16241  volume        = {166},
16242  number        = {1},
16243  pages         = {55--86},
16244  year          = {2004}
16245}
16246
16247@PhDThesis{       gralthesis,
16248  author        = {Guntram Berti},
16249  title         = {Generic Software Components for Scientific Computing},
16250  school        = {TU Cottbus},
16251  year          = {2000},
16252  note          = {\url{http://www.math.tu-cottbus.de/~berti/diss}}
16253}
16254
16255@Article{         whitehead1949,
16256  title         = {Combinatorial homotopy. I},
16257  author        = {John HC Whitehead},
16258  journal       = {Bulletin of the American Mathematical Society},
16259  volume        = {55},
16260  number        = {3. P1},
16261  pages         = {213--245},
16262  year          = {1949},
16263  publisher     = {American Mathematical Society}
16264}
16265
16266@Article{         beylkincoifmanrokhlin91,
16267  author        = {Gregory Beylkin and Ronald Coifman and Vladimir Rokhlin},
16268  title         = {Fast Wavelet Transforms and Numerical Algorithms {I}},
16269  journal       = {Communications on Pure and Applied Mathematics},
16270  volume        = {44},
16271  pages         = {141--183},
16272  year          = {1991}
16273}
16274
16275@Book{            wesseling92,
16276  author        = {Pieter Wesseling},
16277  title         = {An Introduction to Multigrid Methods},
16278  publisher     = {John Wiley and Sons},
16279  year          = {1992}
16280}
16281
16282@Book{            grakakos04,
16283  author        = {Loukas Grakakos},
16284  title         = {Classical and Modern Fourier Analysis},
16285  publisher     = {Pearson Education},
16286  address       = {New Jersey},
16287  year          = {2004}
16288}
16289
16290@Misc{            hlib-web-page,
16291  key           = {HLib},
16292  title         = {{HLib} {Web} page},
16293  note          = {{\texttt{http://www.hlib.org/}}},
16294  annote        = {Hierarchical matrices for fast integral transform}
16295}
16296
16297@Article{         hackbusch99,
16298  author        = {Wolfgang Hackbusch},
16299  title         = {A sparse matrix arithmetic based on {$\mathcal H$}-matrices. Part {I}:
16300                  Introduction to {$\mathcal H$}-matrices},
16301  journal       = {Computing},
16302  volume        = {62},
16303  pages         = {89--108},
16304  year          = {1999}
16305}
16306
16307@TechReport{      kay1999green,
16308  title         = {A {G}reen's function preconditioner for the steady-state {N}avier-{S}tokes
16309                  equations},
16310  author        = {Kay, D. and Loghin, D.},
16311  year          = {1999},
16312  institution   = {Oxford University Computing Laboratory},
16313  number        = {99/06}
16314}
16315
16316@Article{         bebendorf2003existence,
16317  title         = {Existence of {$\mathcal H$}-matrix approximants to the inverse {FE}-matrix of
16318                  elliptic operators with {$L^\infty$}-coefficients},
16319  author        = {Bebendorf, M. and Hackbusch, W.},
16320  journal       = {Numerische Mathematik},
16321  volume        = {95},
16322  number        = {1},
16323  pages         = {1--28},
16324  year          = {2003},
16325  publisher     = {Springer}
16326}
16327
16328@Article{         hackbusch2005direct,
16329  title         = {Direct {S}chur complement method by domain decomposition based on {$\mathcal
16330                  H$}-matrix approximation},
16331  author        = {Hackbusch, W. and Khoromskij, B.N. and Kriemann, R.},
16332  journal       = {Computing and Visualization in Science},
16333  volume        = {8},
16334  number        = {3},
16335  pages         = {179--188},
16336  year          = {2005},
16337  publisher     = {Springer}
16338}
16339
16340@TechReport{      duphof2003,
16341  author        = {T. Dupont and J. Hoffman and C. Johnson and R. C. Kirby and M. G. Larson and A.
16342                  Logg and L. R. Scott},
16343  title         = {The {FE}ni{CS} project},
16344  institution   = {Chalmers Finite Element Center Preprint Series},
16345  number        = {2003--21},
16346  year          = {2003}
16347}
16348
16349@Article{         flame01,
16350  author        = {John A. Gunnels and Fred G. Gustavson and Greg M. Henry and Robert A. van de
16351                  Geijn},
16352  title         = {{FLAME}: Formal Linear Algebra Methods Environment},
16353  journal       = {Transactions on Mathematical Software},
16354  volume        = {27},
16355  number        = {4},
16356  year          = {2001},
16357  pages         = {422--455}
16358}
16359
16360@Article{         puschel05,
16361  author        = {Markus P{\"u}schel and Jos{\'e} M. F. Moura and Jeremy Johnson and David Padua
16362                  and Manuela Veloso and Bryan W. Singer and Jianxin Xiong and Franz Franchetti and
16363                  Aca Ga\v{c}i\'{c} and Yevgen Voronenko and Kang Chen and Robert W. Johnson and
16364                  Nick Rizzolo},
16365  title         = {{SPIRAL}: Code Generation for {DSP} Transforms},
16366  journal       = {Proceedings of the IEEE},
16367  volume        = {93},
16368  number        = {2},
16369  year          = {2005},
16370  note          = {special issue on "Program Generation, Optimization, and Adaptation"}
16371}
16372
16373@Article{         kirbylogg06,
16374  author        = {Robert C. Kirby and Anders Logg},
16375  title         = {A compiler for variational forms},
16376  journal       = {ACM Transactions on Mathematical Software},
16377  volume        = {32},
16378  number        = {3},
16379  year          = {2006},
16380  issn          = {0098-3500},
16381  pages         = {417--444},
16382  doi           = {10.1145/1163641.1163644},
16383  publisher     = {ACM Press},
16384  address       = {New York, NY}
16385}
16386
16387@Article{         kirbylogg07,
16388  author        = {Robert C. Kirby and Anders Logg},
16389  title         = {Efficient compilation of a class of variational forms},
16390  journal       = {ACM Transactions on Mathematical Software},
16391  volume        = {33},
16392  number        = {3},
16393  year          = {2007},
16394  issn          = {0098-3500},
16395  pages         = {17},
16396  doi           = {10.1145/1268769.1268771},
16397  publisher     = {ACM Press},
16398  address       = {New York, NY}
16399}
16400
16401@Article{         bankdupont81,
16402  author        = {Randolph Bank and Todd Dupont},
16403  title         = {An optimal order process for solving finite element equations},
16404  journal       = {Mathematics of Computation},
16405  volume        = {36},
16406  pages         = {35--51},
16407  year          = {1981}
16408}
16409
16410@TechReport{      adams00,
16411  author        = {Mark F. Adams},
16412  title         = {Evaluation of three unstructured multigrid methods on 3D finite element problems
16413                  in solid mechanics},
16414  institution   = {UC Berkeley},
16415  number        = {CSD-00-1103},
16416  year          = {2000},
16417  url           = {citeseer.ist.psu.edu/article/adams00evaluation.html}
16418}
16419
16420@Article{         bergengradlhuelsemannruede06,
16421  author        = {Benjamin Bergen and Tobias Gradl and Frank H\"ulsemann and Ulrich R\"ude},
16422  title         = {A Massively Parallel Multigrid Method for Finite Elements},
16423  journal       = {Computing in Science \& Engineering},
16424  volume        = {8},
16425  number        = {6},
16426  pages         = {56--62},
16427  year          = {2006}
16428}
16429
16430@MastersThesis{   brunethesis08,
16431  author        = {Peter R. Brune},
16432  title         = {Enabling Unstructured Multigrid Under the Sieve Framework},
16433  school        = {University of Chicago},
16434  address       = {Chicago, IL},
16435  year          = {2008},
16436  month         = feb
16437}
16438
16439@Article{         arnoldwinther02,
16440  author        = {Douglas N. Arnold and Ragnar Winther},
16441  title         = {Mixed finite elements for elasticity},
16442  journal       = {Numerische Mathematik},
16443  volume        = {92},
16444  number        = {3},
16445  month         = sep,
16446  year          = {2002},
16447  pages         = {401--419},
16448  doi           = {10.1007/s002110100348}
16449}
16450
16451@Article{         arnoldfalkwinther06,
16452  author        = {Douglas N. Arnold and Richard S. Falk and Ragnar Winther},
16453  title         = {Finite element exterior calculus, homological techniques, and applications},
16454  journal       = {Acta Numerica},
16455  year          = {2006},
16456  volume        = {15},
16457  pages         = {1--155},
16458  publisher     = {Cambridge University Press},
16459  doi           = {10.1017/S0962492906210018}
16460}
16461
16462@Article{         kirby04,
16463  author        = {Robert C. Kirby},
16464  title         = {Algorithm 839: {FIAT}, a new paradigm for computing finite element basis
16465                  functions},
16466  journal       = {ACM Transactions on Mathematical Software},
16467  volume        = {30},
16468  number        = {4},
16469  year          = {2004},
16470  issn          = {0098-3500},
16471  pages         = {502--516},
16472  doi           = {10.1145/1039813.1039820},
16473  publisher     = {ACM Press},
16474  address       = {New York, NY}
16475}
16476
16477@Article{         kirby06,
16478  author        = {Robert C. Kirby},
16479  title         = {Optimizing {FIAT} with level 3 {BLAS}},
16480  journal       = {ACM Transactions on Mathematical Software},
16481  volume        = {32},
16482  number        = {2},
16483  year          = {2006},
16484  issn          = {0098-3500},
16485  pages         = {223--235},
16486  doi           = {10.1145/1141885.1141889},
16487  publisher     = {ACM Press},
16488  address       = {New York, NY}
16489}
16490
16491@Misc{            bluecrystal08,
16492  author        = {{B}lue {C}rystal Cluster},
16493  title         = {Advanced {C}omputing {R}esearch {C}entre{,} {University of Bristol}},
16494  year          = {2008},
16495  note          = {\url{http://www.acrc.bris.ac.uk/acrc/hpc.htm}}
16496}
16497
16498@Article{         beylkin95,
16499  author        = {Gregory Beylkin},
16500  title         = {On the Fast Fourier Transform of Functions With Singularities},
16501  journal       = {Applied and Computational Harmonic Analysis},
16502  volume        = {2},
16503  pages         = {363--381},
16504  year          = {1995}
16505}
16506
16507@InProceedings{   riehl08,
16508  author        = {Jonathan Riehl},
16509  title         = {Implementing the MyFEM Embedded Domain-specific Language},
16510  booktitle     = {Proceedings of the Second International Workshop on Domain-specific Program
16511                  Development (DSPD'08)},
16512  address       = {Nashville, TN},
16513  year          = {2008}
16514}
16515
16516@Article{         appel85,
16517  author        = {Andrew W. Appel},
16518  date-added    = {2008-02-27 12:23:39 +0000},
16519  date-modified = {2008-02-27 12:24:02 +0000},
16520  doi           = {10.1137/0906008},
16521  journal       = {SIAM Journal on Scientific and Statistical Computing},
16522  keywords      = {treecodes},
16523  number        = {1},
16524  pages         = {85-103},
16525  publisher     = {SIAM},
16526  title         = {An Efficient Program for Many-Body Simulation},
16527  volume        = {6},
16528  year          = {1985}
16529}
16530
16531@Article{         ewald21,
16532  author        = {{Ewald}, P.~P.},
16533  title         = {{Die Berechnung optischer und elektrostatischer Gitterpotentiale}},
16534  journal       = {Annalen der Physik},
16535  year          = {1921},
16536  volume        = {369},
16537  pages         = {253-287},
16538  doi           = {10.1002/andp.19213690304},
16539  adsurl        = {http://adsabs.harvard.edu/abs/1921AnP...369..253E},
16540  adsnote       = {Provided by the SAO/NASA Astrophysics Data System}
16541}
16542
16543@Article{         greengardrokhlin87,
16544  author        = {L. Greengard and V. Rokhlin},
16545  date-added    = {2008-02-15 18:43:55 +0000},
16546  date-modified = {2008-02-26 20:09:11 +0000},
16547  doi           = {10.1016/0021-9991(87)90140-9},
16548  journal       = {J. Comput.\ Phys.},
16549  keywords      = {FMM},
16550  number        = {2},
16551  pages         = {325--348},
16552  title         = {A Fast Algorithm for Particle Simulations},
16553  url           = {citeseer.ist.psu.edu/greengard87fast.html},
16554  volume        = {73},
16555  year          = {1987},
16556  bdsk-url-1    = {citeseer.ist.psu.edu/greengard87fast.html}
16557}
16558
16559@Article{         greengardrokhlin97,
16560  author        = {L. Greengard and V. Rokhlin},
16561  title         = {A New Version of the Fast Multipole Method for the Laplace Equation in Three
16562                  Dimensions},
16563  journal       = {Acta Numerica},
16564  volume        = {6},
16565  year          = {1997},
16566  pages         = {229--269}
16567}
16568
16569@Article{         luchenghuangmccammon06,
16570  author        = {Benzhuo Lu and Xiaolin Cheng and Jingfang Huang and J. Andrew McCammon},
16571  title         = {Order {N} algorithm for computation of electrostatic interactions in biomolecular
16572                  systems},
16573  journal       = {PNAS},
16574  doi           = {10.1073/pnas.0605166103},
16575  volume        = {102},
16576  number        = {51},
16577  year          = {2006},
16578  pages         = {19314--19319}
16579}
16580
16581@Article{         schussnadlereisenberg01,
16582  author        = {Zev Schuss and Boaz Nadler and Robert S. Eisenberg},
16583  title         = {Derivation of {P}oisson and {N}ernst-{P}lanck equations in a bath and channel
16584                  from a molecular model},
16585  journal       = {Physical Review E},
16586  volume        = {64},
16587  number        = {3},
16588  year          = {2001}
16589}
16590
16591@Book{            hairerlubichwanner02,
16592  author        = {E. Hairer and Ch. Lubich and G. Wanner},
16593  title         = {Geometric Numerical Integration},
16594  publisher     = {Springer-Verlag},
16595  address       = {Berlin Heidelberg},
16596  year          = {2002}
16597}
16598
16599@Article{         holstbakerwang00,
16600  author        = {M. Holst and N. Baker and F. Wang},
16601  title         = {The adaptive multilevel finite element solution of the {P}oisson-{B}oltzmann
16602                  equation on massively parallel computers},
16603  journal       = {Journal of Computational Chemistry},
16604  volume        = {21},
16605  year          = {2000}
16606}
16607
16608@Book{            hockneyeastwood81,
16609  author        = {R. Hockney and J. Eastwood},
16610  title         = {Computer simulation using particles},
16611  publisher     = {McGraw-Hill},
16612  address       = {New York},
16613  year          = {1981}
16614}
16615
16616@Article{         lutydavistironigunsteren94,
16617  author        = {Brock A. Luty and Malcolm E. Davis and Ilario G. Tironi and Wilfred F. Van
16618                  Gunsteren},
16619  title         = {A Comparison of {P}article-{P}article, {P}article-{M}esh and {E}wald Methods for
16620                  Calculating Electrostatic Interactions in Periodic Molecular Systems},
16621  journal       = {Molecular Simulation},
16622  volume        = {14},
16623  number        = {1},
16624  year          = {1994},
16625  pages         = {11--20}
16626}
16627
16628@Book{            briggshensonmccormick00,
16629  author        = {Briggs,, William L. and Henson,, Van Emden and McCormick,, Steve F.},
16630  title         = {A Multigrid Tutorial (2nd ed.)},
16631  year          = {2000},
16632  isbn          = {0-89871-462-1},
16633  publisher     = {Society for Industrial and Applied Mathematics},
16634  address       = {Philadelphia, PA}
16635}
16636
16637@Article{         chartier2003spectral,
16638  title         = {Spectral AMGe ($\rho$ AMGe)},
16639  author        = {Chartier, Tim and Falgout, RD and Henson, VE and Jones, J and Manteuffel, T and
16640                  McCormick, S and Ruge, J and Vassilevski, PS},
16641  journal       = {SIAM Journal on Scientific Computing},
16642  volume        = {25},
16643  number        = {1},
16644  pages         = {1--26},
16645  year          = {2003},
16646  publisher     = {SIAM}
16647}
16648
16649@Article{         galvis2010domain,
16650  title         = {Domain decomposition preconditioners for multiscale flows in high-contrast
16651                  media},
16652  author        = {Galvis, Juan and Efendiev, Yalchin},
16653  journal       = {Multiscale Modeling \& Simulation},
16654  volume        = {8},
16655  number        = {4},
16656  pages         = {1461--1483},
16657  year          = {2010},
16658  publisher     = {SIAM}
16659}
16660
16661@Book{            brennerscott02,
16662  author        = {Susanne~C. Brenner and L.~Ridgway Scott},
16663  title         = {The mathematical theory of finite element methods},
16664  year          = {2002},
16665  isbn          = {0-38795-451-1},
16666  publisher     = {Springer},
16667  pages         = {361}
16668}
16669
16670@Book{            trefethenbau97,
16671  author        = {Lloyd N. Trefethen and David {Bau, III}},
16672  title         = {Numerical Linear Algebra},
16673  publisher     = {Society for Industrial and Applied Mathematics},
16674  address       = {Philadelphia, PA},
16675  pages         = {xii + 361},
16676  year          = {1997},
16677  isbn          = {0-89871-361-7},
16678  isbn-13       = {978-0-89871-361-9},
16679  lccn          = {QA184 .T74 1997},
16680  mrclass       = {65-01 (65-02 65Fxx)},
16681  mrnumber      = {MR1444820 (98k:65002)},
16682  mrreviewer    = {Moody T. Chu},
16683  bibdate       = {Wed Jan 07 15:23:19 1998},
16684  bibsource     = {ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib}
16685}
16686
16687@Article{         liptonreagan2014,
16688  title         = {Quantum Algorithms via Linear Algebra: A Primer},
16689  author        = {Richard J Lipton and Kenneth W Regan},
16690  pages         = {206},
16691  isbn          = {978-0-26202-839-4},
16692  year          = {2014}
16693}
16694
16695@InProceedings{   rhea08,
16696  author        = {Carsten Burstedde and Omar Ghattas and Michael Gurnis and Georg Stadler and Eh
16697                  Tan and T.~Tu and Lucas~C. Wilcox and Shijie Zhong},
16698  title         = {Scalable adaptive mantle convection simulation on petascale supercomputers},
16699  booktitle     = {Proceedings of IEEE/ACM SC '08},
16700  year          = {2008}
16701}
16702
16703@Misc{            bursteddewilcox09,
16704  author        = {Carsten Burstedde and Lucas~C. Wilcox},
16705  title         = {The p4est library: A parallel scalable forest of adaptive octrees},
16706  note          = {in preparation}
16707}
16708
16709@Article{         skeeltezcanhardy02,
16710  author        = {R. D. Skeel and I. Tezcan and D. J. Hardy},
16711  title         = {Multiple Grid Methods for Classical Molecular Dynamics},
16712  journal       = {J. Comp. Chem.},
16713  volume        = {23},
16714  pages         = {673--684},
16715  year          = {2002}
16716}
16717
16718@Article{         verschelde99,
16719  author        = {Jan Verschelde},
16720  title         = {Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by
16721                  homotopy continuation},
16722  journal       = {ACM Trans. Math. Softw.},
16723  volume        = {25},
16724  number        = {2},
16725  issn          = {0098-3500},
16726  pages         = {251--276},
16727  doi           = {10.1145/317275.317286},
16728  publisher     = {ACM},
16729  address       = {New York, NY},
16730  year          = {1999}
16731}
16732
16733@InProceedings{   sommeseverscheldewampler08,
16734  author        = {Andrew J. Sommese and Jan Verschelde and Charles W. Wampler},
16735  title         = {Solving Polynomial Systems Equation by Equation},
16736  booktitle     = {IMA Volume 146: Algorithms in Algebraic Geometry},
16737  editor        = {Alicia Dickenstein and Frank-Olaf Schreyer and Andrew J. Sommese},
16738  pages         = {133--152},
16739  publisher     = {Springer-Verlag},
16740  year          = {2008}
16741}
16742
16743@Article{         phanthientanner77,
16744  author        = {N. Phan-Thien and R.~I. Tanner},
16745  title         = {A new constitutive equation derived from network theory},
16746  journal       = {J. Non-Newt. Fluid Mech.},
16747  volume        = {2},
16748  pages         = {353},
16749  year          = {1977}
16750}
16751
16752@Manual{          sage,
16753  key           = {SAGE},
16754  author        = {W.\thinspace{}A. Stein and others},
16755  organization  = {The Sage~Development Team},
16756  title         = {{S}age {M}athematics {S}oftware ({V}ersion 3.3)},
16757  note          = {{\tt http://www.sagemath.org}},
16758  year          = {2009}
16759}
16760
16761@Misc{            bateshauensteinsommesewampler06,
16762  author        = {Daniel J. Bates and Jonathan D. Hauenstein and Andrew J. Sommese and Charles W.
16763                  Wampler},
16764  title         = {{B}ertini: {S}oftware for {N}umerical {A}lgebraic {G}eometry},
16765  howpublished  = {Available at http://www.nd.edu/$\sim$sommese/bertini}
16766}
16767
16768@Article{         archer09,
16769  author        = {A. J. Archer},
16770  collaboration = {},
16771  title         = {Dynamical density functional theory for molecular and colloidal fluids: A
16772                  microscopic approach to fluid mechanics},
16773  publisher     = {AIP},
16774  year          = {2009},
16775  journal       = {The Journal of Chemical Physics},
16776  volume        = {130},
16777  number        = {1},
16778  eid           = {014509},
16779  numpages      = {8},
16780  pages         = {014509},
16781  keywords      = {colloids; continuum mechanics; density functional theory; free energy; glass
16782                  transition; statistical distributions; stochastic processes},
16783  doi           = {10.1063/1.3054633}
16784}
16785
16786@Article{         giesekus1966,
16787  author        = {Hanswalter Giesekus},
16788  title         = {Die Elastizit\"at von Fl\"ussigkeiten},
16789  journal       = {Rheologica Acta},
16790  publisher     = {Springer Berlin / Heidelberg},
16791  volume        = {5},
16792  number        = {1},
16793  month         = mar,
16794  year          = {1966},
16795  doi           = {10.1007/BF01973575},
16796  pages         = {29-35}
16797}
16798
16799@Article{         baaijens98,
16800  author        = {F.P. Baaijens},
16801  title         = {Mixed finite element methods for viscoelastic flow analysis: a review},
16802  journal       = {Journal of Non-Newtonian Fluid Mechanics},
16803  volume        = {79},
16804  year          = {1998},
16805  pages         = {361--385}
16806}
16807
16808@Book{            joseph90,
16809  author        = {D.~D. Joseph},
16810  title         = {Fluid Dynamics of Viscoelastic Liquids},
16811  publisher     = {Springer},
16812  address       = {New York, NY},
16813  year          = {1990}
16814}
16815
16816@Article{         oldroyd50,
16817  author        = {J.~G. Oldroyd},
16818  title         = {On the Formulation of Rheological Equations of State},
16819  journal       = {Proceedings of the Royal Society of London. Series A, Mathematical and Physical
16820                  Sciences},
16821  volume        = {200},
16822  year          = {1950},
16823  pages         = {523--541}
16824}
16825
16826@InProceedings{   bynasungroppthakur04,
16827  author        = {S. Byna and X.-H. Sun and W. Gropp and R. Thakur},
16828  title         = {Predicting Memory-Access Cost Based on Data-Access Patterns},
16829  booktitle     = {Proceedings of IEEE International Conference on Cluster Computing, San Diego},
16830  year          = {2004}
16831}
16832
16833@Book{            pozrikidis07,
16834  author        = {C. Pozrikidis},
16835  title         = {Fluid Dynamics: Theory, Computation, and Numerical Simulation},
16836  publisher     = {Kluwer (Springer)},
16837  pages         = {675},
16838  year          = {2001},
16839  isbn          = {0792373510}
16840}
16841
16842@Misc{            kritzkeyesfsp07,
16843  author        = {A. Kritz and D. Keyes},
16844  title         = {{Fusion Simulation Project Workshop Report}},
16845  month         = jul,
16846  year          = {2007},
16847  note          = {Available via
16848                  \url{http://www.sc.doe.gov/ofes/More_HTML/FESAC/FESAC07/FSP_report_070702d.pdf}}
16849}
16850
16851@Misc{            dahlburg02,
16852  author        = {J. {Dahlburg (Chair)}},
16853  title         = {{Final Report of the FESAC ISOFS SubCommittee}},
16854  year          = {2002},
16855  note          = {Available via
16856                  \url{http://www.ofes.fusion.doe.gov/More_HTML/FESAC/FESAC11-02/Dahlburg.pdf}}
16857}
16858
16859@Misc{            brown08,
16860  author        = {D. {Brown (Chair)}},
16861  title         = {{Applied Mathematics at the U.S. Department of Energy: Past, Present, and a View
16862                  to the Future}},
16863  year          = {2008},
16864  howpublished  = {Office of Science, U.S. Department of Energy},
16865  url           = {http://science.energy.gov/~/media/ascr/pdf/program-documents/docs/Brown_report_may_08.pdf}
16866}
16867
16868@Misc{            crosscutting10,
16869  author        = {D. Brown and P. {Messina (Chairs)}},
16870  title         = {{Scientific Grand Challenges: Crosscutting Technologies for Computing at the
16871                  Exascale}},
16872  year          = {2010},
16873  howpublished  = {Office of Science, U.S. Department of Energy},
16874  url           = {http://extremecomputing.labworks.org/SumReps/Crosscutting-SumRep-PNNL_20168.pdf}
16875}
16876
16877@Misc{            extreme-scale-solvers-workshop12,
16878  author        = {J. Ang and K. Evans and A. Geist and M. Heroux and P. Hovland and O. Marques and
16879                  L.C. McInnes and E. Ng and S. Wild},
16880  title         = {Report on the Workshop on Extreme-Scale Solvers: Transitions to Future
16881                  Architectures},
16882  howpublished  = {Office of Advanced Scientific Computing Research, U.S. Department of Energy},
16883  note          = {{Washington, DC}, March 8-9, 2012},
16884  url           = {http://science.energy.gov/~/media/ascr/pdf/program-documents/docs/reportExtremeScaleSolvers2012.pdf},
16885  year          = {2012}
16886}
16887
16888@Misc{            monizrosner09,
16889  author        = {{E. Moniz and R. Rosner}},
16890  title         = {{Workshop on Science Based Nuclear Energy Systems Enabled by Advanced Modeling
16891                  and Simulation at the Extreme Scale}},
16892  month         = may,
16893  year          = {2009},
16894  note          = {See
16895                  \url{http://extremecomputing.labworks.org/crosscut/references/nuclearenergy10exascael.pdf}}
16896}
16897
16898@Misc{            blanford08,
16899  author        = {{R. Blandord (Chair)}},
16900  title         = {{Workshop on Challenges for Understanding the Quantum Universe and the Role of
16901                  Computing at the Extreme Scale}},
16902  month         = dec,
16903  year          = {2008},
16904  note          = {See
16905                  \url{http://extremecomputing.labworks.org/crosscut/references/HEPreport10exascale.pdf}}
16906}
16907
16908@Misc{            exascale07,
16909  author        = {H. Simon and T. Zacharia and R. Stevens},
16910  title         = {{Modeling and Simulation at the Exascale for Energy and the Environment}},
16911  year          = {2007},
16912  note          = {See \url{http://www.sc.doe.gov/ascr/ProgramDocuments/Docs/TownHall.pdf}}
16913}
16914
16915@Misc{            ascrbreakthroughs08,
16916  author        = {{Panel on Recent Significant Advancements in Computational Science}},
16917  title         = {Breakthroughs},
16918  year          = {2008},
16919  note          = {See
16920                  \url{http://www.er.doe.gov/ASCR/ProgramDocuments/Docs/Breakthroughs_2008.pdf}}
16921}
16922
16923@Misc{            petsc-rd100-2009,
16924  author        = {{R\&D Magazine}},
16925  title         = {{PETSc} {R}\&{D} 100 Award},
16926  year          = {2009},
16927  note          = {See
16928                  \url{http://www.rdmag.com/Awards/RD-100-Awards/2009/07/PETSc-Release-3-0-Expands-Capabilities}}
16929}
16930
16931@Article{         compass-scidac08,
16932  author        = {P. Spentzouris and J. Cary and L. C. McInnes and W. Mori and C. Ng and E. Ng and
16933                  R. Ryne},
16934  title         = {Community Petascale Project for Accelerator Science and Simulation: Advancing
16935                  Computational Science for Future Accelerators and Accelerator Technologies},
16936  journal       = {J. Phys.: Conf. Ser.},
16937  volume        = {125},
16938  year          = {2008},
16939  pages         = {012001},
16940  url           = {http://iopscience.iop.org/1742-6596/125/1/012001}
16941}
16942
16943@Article{         compass-amundson-scidac08,
16944  title         = {Multiscale, Multiphysics Beam Dynamics Framework Design and Applications},
16945  author        = {J. Amundson and D. Dechow and L. McInnes and B. Norris and P. Spentzouris and P.
16946                  Stoltz},
16947  journal       = {J. Phys.: Conf. Ser.},
16948  volume        = {125},
16949  year          = {2008}
16950}
16951
16952@InProceedings{   muszala09,
16953  title         = {Two-tiered Component Design and Performance Analysis of {Synergia2} Accelerator
16954                  Simulations},
16955  author        = {S. Muszala and J. Amundson and L. C. McInnes and B. Norris},
16956  booktitle     = {Proceedings of the 2009 Workshop on Component-Based High Performance Computing
16957                  {(CBHPC 2009)}},
16958  year          = {2009}
16959}
16960
16961@Article{         gaston09,
16962  title         = {{MOOSE}: A Parallel Computational Framework for Coupled Systems of Nonlinear
16963                  Equations},
16964  author        = {Derek Gaston and Chris Newman and Glen Hansen and Damien Lebrun-Grandie},
16965  journal       = {Nuclear Engineering and Design},
16966  volume        = {239},
16967  number        = {10},
16968  year          = {2009},
16969  pages         = {1768 -- 1778}
16970}
16971
16972@Article{         gaston09b,
16973  title         = {Parallel Multiphysics Algorithms and Software for Computational Nuclear
16974                  Engineering},
16975  author        = {D. Gaston and G. Hansen and S. Kadioglu and D. Knoll and C. Newman and H. Park
16976                  and C. Permann and W. Taitano},
16977  journal       = {J. Phys.: Conf. Ser.},
16978  volume        = {180},
16979  year          = {2009},
16980  pages         = {012012}
16981}
16982
16983@Article{         newman09,
16984  title         = {Three Dimensional Coupled Simulation of Thermomechanics, Heat, and Oxygen
16985                  Diffusion in {UO$_2$} Nuclear Fuel Rods},
16986  author        = {Chris Newman and Glen Hansen and Derek Gaston},
16987  journal       = {Journal of Nuclear Materials},
16988  volume        = {392},
16989  issue         = {1},
16990  year          = {2009},
16991  pages         = {6 -- 15}
16992}
16993
16994@Misc{            www:fenics,
16995  author        = {{FE}ni{CS}},
16996  title         = {{FE}ni{CS} Project},
16997  howpublished  = {\url{http://www.fenics.org/}},
16998  year          = {2018}
16999}
17000
17001@InProceedings{   zwart08,
17002  title         = {A Multiphysics and Multiscale Software Environment for Modeling Astrophysical
17003                  Systems},
17004  author        = {S. Zwart and S. McMillan and B. Nuallain and D. Heggie and J. Lombarsi and P. Hut
17005                  and S. Banerjee and H. Belkus and T. Fragos and J. Fregeau and M. Fuji and E.
17006                  Gaburov and E. Glebbeek and D. Groen and S. Harfst and R. Izzard and J. Juric and
17007                  S. Justham and P. Teuben and J. van Bever and O. Yaron and M. Zemp},
17008  booktitle     = {Proceedings of ICCS 2008},
17009  year          = {2008}
17010}
17011
17012@Article{         klocknerwarburtonbridgehesthaven09,
17013  author        = {Kl\"{o}ckner, A. and Warburton, T. and Bridge, J. and Hesthaven, J. S.},
17014  title         = {Nodal discontinuous {G}alerkin methods on graphics processors},
17015  journal       = {J. Comput. Phys.},
17016  volume        = {228},
17017  number        = {21},
17018  year          = {2009},
17019  issn          = {0021-9991},
17020  pages         = {7863--7882},
17021  doi           = {10.1016/j.jcp.2009.06.041},
17022  publisher     = {Academic Press Professional},
17023  address       = {San Diego, CA}
17024}
17025
17026@PhDThesis{       rankin99,
17027  author        = {Rankin, W. T.},
17028  keywords      = {FMM, parallel FMM},
17029  school        = {Department of Electrical and Computer Engineering, Duke University},
17030  title         = {Efficient parallel implementations of multipole-based {$N$}-body algorithms},
17031  year          = {1999}
17032}
17033
17034@InProceedings{   warrensalmon93,
17035  abstract      = {We report on an efficient adaptive N-body method which we have recently designed
17036                  and implemented. The algorithm computes the forces on an arbitrary distribution of
17037                  bodies in a time which scales as N log N with the particle number. The accuracy of
17038                  the force calculations is analytically bounded, and can be adjusted via a user
17039                  defined parameter between a few percent relative accuracy, down to machine
17040                  arithmetic accuracy. Instead of using pointers to indicate the topology of the
17041                  tree, we identify...},
17042  address       = {New York},
17043  author        = {Warren, Michael S. and Salmon, John K.},
17044  booktitle     = {Proceedings of the 1993 ACM/IEEE Conference on Supercomputing},
17045  citeulike-article-id={580952},
17046  keywords      = {oct-tree},
17047  pages         = {12--21},
17048  publisher     = {ACM},
17049  title         = {A parallel hashed Oct-Tree {N}-body algorithm},
17050  year          = {1993},
17051  doi           = {10.1145/169627.169640},
17052  url           = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.100}
17053}
17054
17055@Unpublished{     cruzwccm10,
17056  author        = {Felipe A. Cruz},
17057  title         = {Heterogeneous extension of the PetFMM a Fast Multipole Library},
17058  note          = {Presentation at WCCM 2010, Sydney Australia},
17059  year          = {2010}
17060}
17061
17062@Article{         mcguffee06,
17063  author        = {S.~R. {McGuffee} and A.~H. Elcock},
17064  title         = {Atomistically detailed simulations of concentrated protein solutions: the effects
17065                  of salt, {pH}, point mutations, and protein concentration in simulations of
17066                  1000-molecule systems},
17067  journal       = {Journal of the American Chemical Society},
17068  volume        = {128},
17069  pages         = {12098--12110},
17070  year          = {2006}
17071}
17072
17073@Article{         nilsencaihoylandlangtangen10,
17074  author        = {{Nilsen}, J.~K. and {Cai}, X. and {Hoyland}, B. and {Petter Langtangen}, H.},
17075  title         = {{Simplifying Parallelization of Scientific Codes by a Function-Centric Approach
17076                  in Python}},
17077  journal       = {ArXiv e-prints},
17078  archiveprefix = {arXiv},
17079  eprint        = {1002.0705},
17080  primaryclass  = {cs.DC},
17081  keywords      = {Computer Science - Distributed, Parallel, and Cluster Computing, Computer Science
17082                  - Programming Languages},
17083  year          = {2010},
17084  month         = feb,
17085  adsurl        = {http://adsabs.harvard.edu/abs/2010arXiv1002.0705N},
17086  adsnote       = {Provided by the SAO/NASA Astrophysics Data System}
17087}
17088
17089@Misc{            mcinnes:siam09:minisymposium,
17090  title         = {Implicit Nonlinear Solvers in Multimodel Simulations},
17091  author        = {L. C. McInnes and C. {Woodward (co-organizers)}},
17092  note          = {invited minisymposium session at the SIAM Annual Meeting, July 9-10, 2009,
17093                  Denver, CO, speakers were: C. Woodward (LLNL), E. Myra (Univ. of Michigan), J.
17094                  White (Stanford Univ.), A. Barker (Univ. of Colorado, Boulder), L. Wilcox (Univ.
17095                  of Texas at Austin), R. Mills (ORNL), B. F. Smith (ANL), J. Shadid (SNL), D. Knoll
17096                  (INL), G. Hansen (INL), J. Cary (Tech-X Corp.), T. Wildey (Univ. of Texas at
17097                  Austin).}
17098}
17099
17100@Misc{            mcinnes:fsp-summary:feb2011,
17101  author        = {Lois Curfman McInnes and Luis Chacon and John Shadid},
17102  title         = {Solvers and Time Integration Breakout Summary},
17103  note          = {FSP Planning Workshop, General Atomics, Feb 8-11, 2011, see
17104                  \url{https://ice.txcorp.com/trac/2011_FspDefinitionWorkshop}}
17105}
17106
17107@Misc{            dvi-materials:siamcse11,
17108  title         = {Progress in Large-Scale Differential Variational Inequalities for Heterogeneous
17109                  Materials},
17110  author        = {M. Anitescu and A. El-Azab and J. Lee and L. C. McInnes and T. Munson and B. F.
17111                  Smith and L. Wang},
17112  note          = {minisymposium presentation at the 2011 SIAM Conference on Computational Science
17113                  and Engineering, March 3, 2011}
17114}
17115
17116@Misc{            jamroz:cemm10,
17117  title         = {{JFNK} within the semi-implicit scheme in {NIMROD}},
17118  author        = {B. Jamroz and S. Kruger and T. Austin},
17119  note          = {presentation, CEMM Meeting, Chicago, IL, Nov 7, 2010}
17120}
17121
17122@Misc{            kruger:feb4-2011,
17123  title         = {personal communication},
17124  author        = {S. Kruger},
17125  note          = {February, 2011}
17126}
17127
17128@Article{         elman1996,
17129  author        = {H.C. Elman},
17130  title         = {Preconditioning for the steady-state {Navier-Stokes} equations for low
17131                  viscosity},
17132  journal       = {SIAM J. Sci. Comput.},
17133  volume        = {20},
17134  year          = {1996},
17135  pages         = {1299--1316}
17136}
17137
17138@Article{         kayloghinwathen2002,
17139  author        = {D. Kay and D. Loghin and A. Wathen},
17140  title         = {A preconditioning for the steady-state {Navier-Stokes} equations},
17141  journal       = {SIAM J. Sci. Comput.},
17142  volume        = {24},
17143  year          = {2002},
17144  pages         = {237--256}
17145}
17146
17147@Article{         elmanhowleshadidshuttleworthtuminaro2006,
17148  author        = {H.C. Elman and V.E. Howle and J. Shadid and R. Shuttleworth and R. Tuminaro},
17149  title         = {Block preconditioners based on approximate commutators},
17150  journal       = {SIAM J. Sci. Comput.},
17151  volume        = {27},
17152  number        = {5},
17153  year          = {2006},
17154  pages         = {1651--1668}
17155}
17156
17157@Article{         braesssarazin1997,
17158  author        = {Dietrich Braess and Regina Sarazin},
17159  title         = {An efficient smoother for the {Stokes} problem},
17160  journal       = {Applied Numerical Mathematics},
17161  volume        = {23},
17162  number        = {1},
17163  year          = {1997},
17164  pages         = {3--19},
17165  doi           = {10.1016/S0168-9274(96)00059-1}
17166}
17167
17168@Article{         wright2001large,
17169  title         = {Large-Scale Computation of Pseudospectra Using {ARPACK} and \texttt{eigs}},
17170  author        = {Wright, T.G. and Trefethen, L.N.},
17171  journal       = {SIAM Journal on Scientific Computing},
17172  volume        = {23},
17173  pages         = {591},
17174  year          = {2001}
17175}
17176
17177@Misc{            wright2002eigtool,
17178  title         = {Eig{T}ool},
17179  author        = {Wright, T.G. and Trefethen, LN},
17180  howpublished  = {Software available at \url{http://www.comlab.ox.ac.uk/pseudospectra/eigtool}},
17181  year          = {2002}
17182}
17183
17184@Misc{            visit-web-site,
17185  key           = {{VisIt}},
17186  title         = {{VisIt web site}},
17187  howpublished  = {\url{http://wci.llnl.gov/codes/visit/}},
17188  url           = {http://wci.llnl.gov/codes/visit/},
17189  year          = {2011}
17190}
17191
17192@Book{            trefethen1996,
17193  title         = {Finite difference and spectral methods for ordinary and partial differential
17194                  equations},
17195  author        = {Lloyd Nicholas Trefethen},
17196  year          = {1996},
17197  publisher     = {Cornell University-Department of Computer Science and Center for Applied
17198                  Mathematics}
17199}
17200
17201@Book{            trefethen2005spectra,
17202  title         = {Spectra and pseudospectra: the behavior of nonnormal matrices and operators},
17203  author        = {Trefethen, L.N. and Embree, M.},
17204  year          = {2005},
17205  publisher     = {Princeton University Press}
17206}
17207
17208@Article{         gomez2010isogeometric,
17209  title         = {Isogeometric analysis of the isothermal {N}avier-{S}tokes-{K}orteweg equations},
17210  author        = {Gomez, H. and Hughes, T.J.R. and Nogueira, X. and Calo, V.M.},
17211  journal       = {Computer Methods in Applied Mechanics and Engineering},
17212  volume        = {199},
17213  number        = {25-28},
17214  pages         = {1828--1840},
17215  issn          = {0045-7825},
17216  year          = {2010},
17217  publisher     = {Elsevier}
17218}
17219
17220@Article{         gomez2008isogeometric,
17221  title         = {Isogeometric analysis of the {C}ahn-{H}illiard phase-field model},
17222  author        = {G{\'o}mez, H. and Calo, V.M. and Bazilevs, Y. and Hughes, T.J.R.},
17223  journal       = {Computer Methods in Applied Mechanics and Engineering},
17224  volume        = {197},
17225  number        = {49-50},
17226  pages         = {4333--4352},
17227  year          = {2008},
17228  publisher     = {Elsevier}
17229}
17230
17231@Misc{            fastmath:project,
17232  author        = {Lori {Diachin (PI)}},
17233  title         = {{SciDAC Frameworks, Algorithms, and Scalable Technologies for Mathematics
17234                  (FASTMath) Institute}},
17235  howpublished  = {\url{https://fastmath-scidac.llnl.gov}}
17236}
17237
17238@Misc{            exascale-software:proposal,
17239  author        = {Peter {Beckman (PI)}},
17240  title         = {{Exascale Software Center}},
17241  note          = {proposal to DOE}
17242}
17243
17244@Misc{            imex:project,
17245  author        = {Barry {Smith (PI)}},
17246  title         = {{Scalable Implicit-Explicit (IMEX) Algorithms and Software for Time-Dependent
17247                  Multimodel PDEs}},
17248  note          = {DOE ASCR applied math project}
17249}
17250
17251@Misc{            intel-mic:website,
17252  author        = {Intel},
17253  title         = {{Many Integrated Core Architecture}},
17254  note          = {\url{http://www.intel.com/technology/architecture-silicon/mic}}
17255}
17256
17257@Article{         dudson:2009,
17258  author        = {B.D. Dudson and M.V. Umansky and X.Q. Xu and P.B. Snyder and H.R. Wilson},
17259  title         = {{{BOUT++:}} a framework for parallel plasma fluid simulations},
17260  journal       = {Computer Physics Communications},
17261  volume        = {180},
17262  pages         = {1467},
17263  year          = {2009}
17264}
17265
17266@Article{         umansky:2009,
17267  author        = {M.V. Umansky and X.Q. Xu and B. Dudson and L.L. LoDestro and J.R. Myra},
17268  title         = {{Status and verification of edge plasma turbulence code BOUT}},
17269  journal       = {Computer Physics Communications},
17270  year          = {2009},
17271  volume        = {180},
17272  pages         = {887-903}
17273}
17274
17275@Article{         xu:1998,
17276  author        = {X.Q. Xu and R.H. Cohen},
17277  title         = {{Scrape-Off Layer Turbulence Theory and Simulations}},
17278  journal       = {Computer Physics Communications},
17279  year          = {1998},
17280  volume        = {36},
17281  number        = {1-2},
17282  pages         = {158}
17283}
17284
17285@Article{         tron:1999,
17286  title         = {Newton's Method for Large Bound-constrained Optimization Problems},
17287  author        = {Chih-Jen Lin and Jorge Mor\'{e}},
17288  journal       = {SIAM Journal on Optimization},
17289  volume        = {9},
17290  number        = {4},
17291  pages         = {1100-1127},
17292  year          = {1999}
17293}
17294
17295@Article{         stubenamg,
17296  author        = {K. St\"{u}ben},
17297  title         = {A review of algebraic multigrid},
17298  journal       = {J. Comput. Appl. Math.},
17299  volume        = {128},
17300  number        = {1-2},
17301  year          = {2001},
17302  issn          = {0377-0427},
17303  pages         = {281--309},
17304  doi           = {10.1016/S0377-0427(00)00516-1},
17305  publisher     = {Elsevier Science Publishers B. V.},
17306  address       = {Amsterdam, The Netherlands, The Netherlands}
17307}
17308
17309@Article{         feuchtermg,
17310  author        = {D. Feuchter and I. Heppner and S. Sauter and G. Wittum},
17311  title         = {Bridging the gap between geometric and algebraic multigrid methods},
17312  journal       = {Computing and visualization in science},
17313  publisher     = {Springer},
17314  volume        = {6},
17315  number        = {1},
17316  year          = {2003},
17317  pages         = {1--13}
17318}
17319
17320@Article{         chowmgsmoothness,
17321  abstract      = {For non-M-matrices, this paper proposes an unstructured multigrid method that
17322                  only attempts to interpolate in the directions of geometrical smoothness. These
17323                  directions are determined by analyzing samples of algebraically smooth error, e.
17324                  Neighboring grid points i and j are called smoothly coupled if e i and e j are
17325                  consistently nearby in value. In addition, these dierences may be used to dene
17326                  interpolation weights. These new ideas may be incorporated into the algebraic
17327                  multigrid method. Test results show that the new method can have much lower grid
17328                  and operator complexities compared to AMG, leading to lower solve timings. 1 },
17329  author        = {Chow, Edmond},
17330  citeulike-article-id={7675372},
17331  citeulike-linkout-0={http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.4305},
17332  journal       = {American Journal of Mathematics},
17333  keywords      = {fem, multigrid},
17334  pages         = {197--215},
17335  posted-at     = {2010-08-17 23:29:51},
17336  priority      = {2},
17337  title         = {An Unstructured Multigrid Method Based on Geometric Smoothness},
17338  url           = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.4305},
17339  volume        = {65},
17340  year          = {2001}
17341}
17342
17343@Article{         jonesamge,
17344  abstract      = {{This paper contains the main ideas for an AMGe (algebraic multigrid for finite
17345                  elements) method based on element agglomeration. In the method, coarse grid
17346                  elements are formed by agglomerating fine grid elements. Compatible interpolation
17347                  operators are constructed which yield coarse grid basis functions with a minimal
17348                  energy property. Heuristics based on interpolation quality measures are used to
17349                  guide the agglomeration procedure. The performance of the resulting method is
17350                  demonstrated in two-level numerical experiments.}},
17351  author        = {Jones, Jim E. and Vassilevski, Panayot S.},
17352  citeulike-article-id={8598569},
17353  citeulike-linkout-0={http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000023000001000109000001&idtype=cvips&gifs=yes},
17354  citeulike-linkout-1={http://link.aip.org/link/?SCE/23/109},
17355  journal       = {SIAM Journal on Scientific Computing},
17356  keywords      = {amg, fem, multigrid},
17357  number        = {1},
17358  pages         = {109--133},
17359  posted-at     = {2011-01-13 18:05:55},
17360  priority      = {2},
17361  publisher     = {SIAM},
17362  title         = {{AMGE Based on Element Agglomeration}},
17363  url           = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJOCE3000023000001000109000001&idtype=cvips&gifs=yes},
17364  volume        = {23},
17365  year          = {2001}
17366}
17367
17368@Article{         saad1993,
17369  author        = {Saad, Youcef},
17370  doi           = {10.1137/0914028},
17371  issn          = {10648275},
17372  journal       = {SIAM Journal on Scientific Computing},
17373  keywords      = {65f10,ams,especially since the popularization,gate gradient,general purpose
17374                  iterative methods,gmres,krylov subspace methods,mos,non-hermitian systems,of
17375                  precondition-,preconditioned conju-,subject classi cations,variable
17376                  preconditioners},
17377  number        = {2},
17378  pages         = {461--469},
17379  title         = {{A flexible inner-outer preconditioned GMRES algorithm}},
17380  volume        = {14},
17381  year          = {1993}
17382}
17383
17384@Misc{            path:homepage,
17385  author        = {S. Dirkse and M. Ferris and T. Munson},
17386  title         = {{{PATH} {W}eb page}},
17387  howpublished  = {\url{http://pages.cs.wisc.edu/~ferris/path.html}}
17388}
17389
17390@Article{         ketcheson2008,
17391  author        = {David I Ketcheson},
17392  title         = {Highly Efficient Strong Stability Preserving {Runge-Kutta} Methods with
17393                  Low-Storage Implementations},
17394  volume        = {30},
17395  journal       = {SIAM Journal on Scientific Computing},
17396  year          = {2008},
17397  pages         = {2113--2136}
17398}
17399
17400@Article{         elman2009boundary,
17401  title         = {{Boundary conditions in approximate commutator preconditioners for the
17402                  Navier-Stokes equations}},
17403  author        = {Elman, H.C. and Tuminaro, R.},
17404  journal       = {Electronic Transactions on Numerical Analysis},
17405  volume        = {35},
17406  pages         = {257--280},
17407  year          = {2009}
17408}
17409
17410@Article{         elman2008tcp,
17411  title         = {{A taxonomy and comparison of parallel block multi-level preconditioners for the
17412                  incompressible Navier-Stokes equations}},
17413  author        = {Elman, H.C. and Howle, V.E. and Shadid, J. and Shuttleworth, R. and Tuminaro,
17414                  R.},
17415  journal       = {Journal of Computational Physics},
17416  volume        = {227},
17417  number        = {1},
17418  pages         = {1790--1808},
17419  year          = {2008},
17420  publisher     = {Academic Press},
17421  url           = {http://chess.cs.umd.edu/~elman/papers/tax.pdf}
17422}
17423
17424@Article{         arioli2013,
17425  title         = {Generalized {G}olub--{K}ahan bidiagonalization and stopping criteria},
17426  author        = {Arioli, Mario},
17427  journal       = {SIAM Journal on Matrix Analysis and Applications},
17428  volume        = {34},
17429  number        = {2},
17430  pages         = {571--592},
17431  year          = {2013},
17432  publisher     = {SIAM}
17433}
17434
17435@Book{            wesseling2009,
17436  title         = {Principles of computational fluid dynamics},
17437  author        = {Wesseling, Pieter},
17438  volume        = {29},
17439  year          = {2009},
17440  publisher     = {Springer Science \& Business Media}
17441}
17442
17443@Article{         silvester2001efficient,
17444  title         = {{Efficient preconditioning of the linearized Navier-Stokes equations for
17445                  incompressible flow}},
17446  author        = {Silvester, D. and Elman, H. and Kay, D. and Wathen, A.},
17447  journal       = {Journal of Computational and Applied Mathematics},
17448  volume        = {128},
17449  number        = {1-2},
17450  pages         = {261--279},
17451  issn          = {0377-0427},
17452  year          = {2001},
17453  publisher     = {Elsevier}
17454}
17455
17456@Article{         elman1999bfbt,
17457  title         = {{Preconditioning for the steady-state Navier-Stokes equations with low
17458                  viscosity}},
17459  author        = {Elman, H.C.},
17460  journal       = {SIAM Journal on Scientific Computing},
17461  volume        = {20},
17462  number        = {4},
17463  pages         = {1299--1316},
17464  issn          = {1064-8275},
17465  year          = {1999},
17466  publisher     = {Citeseer}
17467}
17468
17469@Article{         elman2006bpb,
17470  title         = {{Block preconditioners based on approximate commutators}},
17471  author        = {Elman, H. and Howle, V.E. and Shadid, J. and Shuttleworth, R. and Tuminaro, R.},
17472  journal       = {SIAM Journal on Scientific Computing},
17473  volume        = {27},
17474  number        = {5},
17475  pages         = {1651--1668},
17476  year          = {2006},
17477  publisher     = {Philadelphia, PA: SIAM, c1993-}
17478}
17479
17480@Article{         olshanskii2006analysis,
17481  title         = {{Analysis of a Stokes interface problem}},
17482  author        = {Olshanskii, M.A. and Reusken, A.},
17483  journal       = {Numerische Mathematik},
17484  volume        = {103},
17485  number        = {1},
17486  pages         = {129--149},
17487  issn          = {0029-599X},
17488  year          = {2006},
17489  publisher     = {Springer}
17490}
17491
17492@Article{         patankar1972cph,
17493  title         = {{A calculation procedure for heat, mass and momentum transfer in
17494                  three-dimensional parabolic flows}},
17495  author        = {Patankar, S.V. and Spalding, D.B.},
17496  journal       = {Int. J. Heat Mass Transfer},
17497  volume        = {15},
17498  pages         = {1787--1806},
17499  year          = {1972}
17500}
17501
17502@Article{         rannacher1992simple,
17503  title         = {{Simple nonconforming quadrilateral Stokes element}},
17504  author        = {Rannacher, R. and Turek, S.},
17505  journal       = {Numerical Methods for Partial Differential Equations},
17506  volume        = {8},
17507  number        = {2},
17508  pages         = {97--111},
17509  issn          = {1098-2426},
17510  year          = {1992},
17511  publisher     = {Wiley Online Library}
17512}
17513
17514@Article{         rannacher2000finite,
17515  title         = {Finite Element Methods for the Incompressible {N}avier-{S}tokes Equations},
17516  author        = {Rannacher, R.},
17517  journal       = {Fundamental Directions in Mathematical Fluid Mechanics},
17518  pages         = {191},
17519  isbn          = {3764364149},
17520  year          = {2000},
17521  publisher     = {Birkhauser}
17522}
17523
17524@Article{         vanka1986block,
17525  title         = {{Block-implicit multigrid solution of Navier-Stokes equations in primitive
17526                  variables}},
17527  author        = {Vanka, S.P.},
17528  journal       = {Journal of Computational Physics},
17529  volume        = {65},
17530  number        = {1},
17531  pages         = {138--158},
17532  issn          = {0021-9991},
17533  year          = {1986},
17534  publisher     = {Elsevier}
17535}
17536
17537@Article{         eisenstat1983variational,
17538  title         = {Variational iterative methods for nonsymmetric systems of linear equations},
17539  author        = {Eisenstat, S.C. and Elman, H.C. and Schultz, M.H.},
17540  journal       = {SIAM Journal on Numerical Analysis},
17541  volume        = {20},
17542  number        = {2},
17543  pages         = {345--357},
17544  year          = {1983},
17545  publisher     = {JSTOR}
17546}
17547
17548@InProceedings{   burstedde2008scalable,
17549  title         = {Scalable adaptive mantle convection simulation on petascale supercomputers},
17550  author        = {Burstedde, C. and Ghattas, O. and Gurnis, M. and Stadler, G. and Tan, E. and Tu,
17551                  T. and Wilcox, L.C. and Zhong, S.},
17552  booktitle     = {Proceedings of the 2008 ACM/IEEE conference on Supercomputing},
17553  pages         = {62},
17554  year          = {2008},
17555  organization  = {IEEE Press}
17556}
17557
17558@Article{         burstedde2009parallel,
17559  title         = {Parallel scalable adjoint-based adaptive solution of variable-viscosity {Stokes}
17560                  flow problems},
17561  author        = {Burstedde, C. and Ghattas, O. and Stadler, G. and Tu, T. and Wilcox, L.C.},
17562  journal       = {Computer Methods in Applied Mechanics and Engineering},
17563  volume        = {198},
17564  number        = {21-26},
17565  pages         = {1691--1700},
17566  year          = {2009},
17567  publisher     = {Elsevier}
17568}
17569
17570@Article{         stadler2010dynamics,
17571  title         = {The dynamics of plate tectonics and mantle flow: From local to global scales},
17572  author        = {Stadler, G. and Gurnis, M. and Burstedde, C. and Wilcox, L.C. and Alisic, L. and
17573                  Ghattas, O.},
17574  journal       = {Science},
17575  volume        = {329},
17576  number        = {5995},
17577  pages         = {1033},
17578  year          = {2010},
17579  publisher     = {American Association for the Advancement of Science}
17580}
17581
17582@Article{         tackley2008modelling,
17583  title         = {Modelling compressible mantle convection with large viscosity contrasts in a
17584                  three-dimensional spherical shell using the yin-yang grid},
17585  author        = {Tackley, P.J.},
17586  journal       = {Physics of the Earth and Planetary Interiors},
17587  volume        = {171},
17588  number        = {1-4},
17589  pages         = {7--18},
17590  year          = {2008},
17591  publisher     = {Elsevier}
17592}
17593
17594@Article{         moresizhonggurnis96,
17595  author        = {Louis N. Moresi and Shijie Zhong and Michael Gurnis},
17596  title         = {The accuracy of finite element solutions of {S}tokes' flow with strongly varying
17597                  viscosity},
17598  journal       = {Physics of the Earth and Planetary Interiors},
17599  volume        = {97},
17600  pages         = {83-–94},
17601  year          = {1996}
17602}
17603
17604@Article{         moresisolomatov95,
17605  author        = {Louis N. Moresi and V. S. Solomatov},
17606  title         = {Numerical investigation of {2D} convection with extremely large viscosity
17607                  variations},
17608  journal       = {Physics of Fluids},
17609  volume        = {7},
17610  number        = {9},
17611  pages         = {2154-–2162},
17612  year          = {1995}
17613}
17614
17615@Article{         chenmolnar83,
17616  author        = {W.-P. Chen and P. Molnar},
17617  title         = {Focal depths of intra-continental and intraplate earthquakes and their
17618                  implications for the thermal and mechanical properties of the lithosphere},
17619  journal       = {Journal of Geophysical Research},
17620  volume        = {88},
17621  pages         = {4183–-4214},
17622  year          = {1983}
17623}
17624
17625@Article{         jackson02,
17626  author        = {J. Jackson},
17627  title         = {Strength of the continental lithosphere: time to abandon the jelly sandwich?},
17628  journal       = {GSA Today},
17629  volume        = {12},
17630  pages         = {4–-10},
17631  year          = {2002}
17632}
17633
17634@Article{         burovwatts06,
17635  author        = {E.B. Burov and A.B. Watts},
17636  title         = {The long-term strength of continental lithosphere: jelly sandwich or creme
17637                  brulee?},
17638  journal       = {GSA Today},
17639  volume        = {16},
17640  pages         = {4–-10},
17641  year          = {2006}
17642}
17643
17644@InProceedings{   yang:brent:2002,
17645  title         = {The Improved {BiCGStab} Method for Large and Sparse Unsymmetric Linear Systems on
17646                  Parallel Distributed Memory Architectures},
17647  author        = {Laurence T. Yang and Richard Brent},
17648  booktitle     = {Proceedings of the Fifth International Conference on Algorithms and Architectures
17649                  for Parallel Processing},
17650  year          = {2002},
17651  publisher     = {IEEE}
17652}
17653
17654@Article{         demmel2008communication,
17655  title         = {Communication-optimal parallel and sequential {QR} and {LU} factorizations},
17656  author        = {Demmel, J. and Grigori, L. and Hoemmen, M. and Langou, J.},
17657  journal       = {Arxiv preprint arXiv:0808.2664},
17658  year          = {2008}
17659}
17660
17661@Article{         demmel09,
17662  author        = {J. Demmel and M. Hoemmen and M. Mohiyuddin and K Yelick},
17663  title         = {Communication-optimal Iterative Methods},
17664  journal       = {Journal of Physics: Conf. Series},
17665  volume        = {180},
17666  year          = {2009}
17667}
17668
17669@TechReport{      parms04,
17670  author        = {Yousef Saad and Masha Sosonkina},
17671  title         = {{pARMS}: A package for the parallel iterative solution of general large sparse
17672                  linear systems user's guide},
17673  number        = {UMSI2004-8},
17674  institution   = {Minnesota Supercomputer Institute, University of Minnesota},
17675  year          = {2004}
17676}
17677
17678@Article{         picard1890,
17679  author        = {Emile Picard},
17680  title         = {M\'emoire sur la th\'eorie des \'equations aux d\'eriv\'ees partielles et la
17681                  m\'ethode des approximations successives},
17682  journal       = {Journal De Math\'ematiques Pures et Appliqu\'ees},
17683  volume        = {4},
17684  number        = {6},
17685  pages         = {145--210},
17686  year          = {1890},
17687  url           = {http://math-doc.ujf-grenoble.fr/JMPA/PDF/JMPA_1890_4_6_A3_0.pdf}
17688}
17689
17690@Book{            rall1969,
17691  author        = {Louis B. Rall},
17692  title         = {Computational solution of nonlinear operator equations},
17693  publisher     = {Krieger Pub Co.},
17694  pages         = {225},
17695  year          = {1969}
17696}
17697
17698@Article{         fletcherreeves1964,
17699  author        = {R. Fletcher and C. M. Reeves},
17700  title         = {Function Minimization by Conjugate Gradients},
17701  journal       = {Computer Journal},
17702  volume        = {7},
17703  pages         = {149–-154},
17704  year          = {1964}
17705}
17706
17707@InBook{          mcinnesallanetal06,
17708  author        = {Lois Curfman McInnes and Benjamin Allan and Robert Armstrong and Steven Benson
17709                  and David Bernholdt and Tamara Dahlgren and Lori Diachin and Manojkumar Krishnan
17710                  and James Kohl and Jay Larson and Sophia Lefantzi and Jarek Nieplocha and Boyana
17711                  Norris and Steven Parker and Jaideep Ray and Shujia Zhou},
17712  editor        = {A.~M.~Bruaset and A.~Tveito},
17713  title         = {Numerical Solution of Partial Differential Equations on Parallel Computers},
17714  chapter       = {Parallel {PDE}-Based Simulations Using the {Common Component Architecture}},
17715  publisher     = {Springer},
17716  year          = {2006},
17717  number        = {51},
17718  series        = {Lecture Notes in Computational Science and Engineering},
17719  pages         = {327--381},
17720  doi           = {10.1016/S0167-8191(02)00191-6}
17721}
17722
17723@Article{         cyrshadidtuminaro12,
17724  title         = {Stabilization and scalable block preconditioning for the {Navier–Stokes}
17725                  equations},
17726  journal       = {Journal of Computational Physics},
17727  volume        = {231},
17728  number        = {2},
17729  pages         = {345 - 363},
17730  year          = {2012},
17731  issn          = {0021-9991},
17732  doi           = {10.1016/j.jcp.2011.09.001},
17733  author        = {Eric C. Cyr and John N. Shadid and Raymond S. Tuminaro}
17734}
17735
17736@Article{         keyesmcinneswoodwardetal13,
17737  title         = {Multiphysics Simulations: Challenges and Opportunities},
17738  author        = {David E. Keyes and Lois Curfman McInnes and Carol Woodward and William Gropp and
17739                  Eric Myra and Michael Pernice and John Bell and Jed Brown and Alain Clo and
17740                  Jeffrey Connors and Emil Constantinescu and Don Estep and Kate Evans and Charbel
17741                  Farhat and Ammar Hakim and Glenn Hammond and Glen Hansen and Judith Hill and Tobin
17742                  Isaac and Xiangmin Jiao and Kirk Jordan and Dinesh Kaushik and Efthimios Kaxiras
17743                  and Alice Koniges and Kihwan Lee and Aaron Lott and Qiming Lu and John Magerlein
17744                  and Reed Maxwell and Michael McCourt and Miriam Mehl and Roger Pawlowski and
17745                  Amanda Peters Randles and Daniel Reynolds and B\'{e}atrice Rivi\`{e}re and Ulrich
17746                  R\"{u}de and Tim Scheibe and John Shadid and Brendan Sheehan and Mark Shephard and
17747                  Andrew Siegel and Barry Smith and Xianzhu Tang and Cian Wilson and Barbara Wohlmuth},
17748  journal       = {International Journal of High Performance Computing Applications},
17749  month         = feb,
17750  year          = {2013},
17751  volume        = {27},
17752  number        = {1},
17753  pages         = {4--83},
17754  doi           = {10.1177/1094342012468181},
17755  note          = {Special issue},
17756  abstract      = {We consider multiphysics applications from algorithmic and architectural
17757                  perspectives, where ``algorithmic'' includes both mathematical analysis and
17758                  computational complexity and ``architectural'' includes both software and hardware
17759                  environments. Many diverse multiphysics applications can be reduced, en route to
17760                  their computational simulation, to a common algebraic coupling paradigm.
17761                  Mathematical analysis of multiphysics coupling in this form is not always
17762                  practical for realistic applications, but model problems representative of
17763                  applications discussed herein can provide insight. A variety of software
17764                  frameworks for multiphysics applications have been constructed and refined within
17765                  disciplinary communities and executed on leading-edge computer systems. We examine
17766                  several of these, expose some commonalities among them, and attempt to extrapolate
17767                  best practices to future systems. From our study, we summarize challenges and
17768                  forecast opportunities.}
17769}
17770
17771@Misc{            rosner10,
17772  author        = {Robert {Rosner (Chair)}},
17773  title         = {{The Opportunities and Challenges of Exascale Computing}},
17774  year          = {2010},
17775  howpublished  = {Office of Science, U.S. Department of Energy},
17776  url           = {http://science.energy.gov/~/media/ascr/ascac/pdf/reports/Exascale_subcommittee_report.pdf}
17777}
17778
17779@Misc{            kogge2008exascale,
17780  title         = {ExaScale Computing Study: {T}echnology Challenges in achieving exascale systems},
17781  author        = {Peter Kogge and Keren Bergman and Shekhar Borkar and Dan Campbell and Willian
17782                  Carlson and William Dally and Monty Denneau and Paul Franzon and William Harrod
17783                  and Kerry Hill and Jon Hiller and Sherman Karp and Stephen Keckler and Dean Klein
17784                  and Robert Lucas and Mark Richards and Al Scarpelly and Steven Scott and Allan
17785                  Snavely and Themas Sterling and R. Stanley Williams and Katherine Yelick},
17786  howpublished  = {DARPA},
17787  year          = {2008},
17788  url           = {http://www.cse.nd.edu/Reports/2008/TR-2008-13.pdf}
17789}
17790
17791@Misc{            doegrandchallengeworkshops,
17792  key           = {Office of Science, U.S. Department of Energy},
17793  title         = {{Scientific Grand Challenges Workshop Series}},
17794  howpublished  = {Office of Science, U.S. Department of Energy, see
17795                  \url{http://extremecomputing.labworks.org/workshops.stm}}
17796}
17797
17798@Misc{            lawrence2011,
17799  key           = {Lawrence},
17800  title         = {{Ernest Orlando Lawrence Award Winners}},
17801  howpublished  = {U.S. Department of Energy, {\footnotesize
17802                  \url{http://energy.gov/articles/secretary-chu-announces-2011-ernest-orlando-lawrence-award-winners}}},
17803  year          = {2011}
17804}
17805
17806@Article{         murphy2000npi,
17807  title         = {{A note on preconditioning for indefinite linear systems}},
17808  author        = {Murphy, M.F. and Golub, G.H. and Wathen, A.J.},
17809  journal       = {SIAM Journal on Scientific Computing},
17810  volume        = {21},
17811  number        = {6},
17812  pages         = {1969--1972},
17813  year          = {2000},
17814  publisher     = {Philadelphia, PA: SIAM, c1993-}
17815}
17816
17817@Article{         elman2011bouyancy,
17818  title         = {Fast iterative solvers for buoyancy driven flow problems},
17819  journal       = {Journal of Computational Physics},
17820  volume        = {230},
17821  number        = {10},
17822  pages         = {3900 - 3914},
17823  year          = {2011},
17824  note          = {},
17825  issn          = {0021-9991},
17826  doi           = {10.1016/j.jcp.2011.02.014},
17827  author        = {Howard Elman and Milan Mihajlovic and David Silvester},
17828  keywords      = {Navier-Stokes, Boussinesq, Finite element approximation, Time stepping,
17829                  Adaptivity, Preconditioning, Algebraic multigrid}
17830}
17831
17832@Article{         dongarrabeckman11,
17833  author        = {J. Dongarra and P. Beckman and et al.},
17834  title         = {The {I}nternational {E}xascale {S}oftware {P}roject {R}oadmap},
17835  journal       = {Int. J. High Perf. Comput. Applics.},
17836  volume        = {25},
17837  year          = {2011},
17838  pages         = {3--60}
17839}
17840
17841@Article{         mandel1999energy,
17842  title         = {Energy optimization of algebraic multigrid bases},
17843  author        = {Mandel, J. and Brezina, M. and Van{\v{e}}k, P.},
17844  journal       = {Computing},
17845  volume        = {62},
17846  number        = {3},
17847  pages         = {205--228},
17848  year          = {1999},
17849  publisher     = {Springer}
17850}
17851
17852@Article{         vanek1996algebraic,
17853  title         = {Algebraic multigrid by smoothed aggregation for second and fourth order elliptic
17854                  problems},
17855  author        = {Van{\v{e}}k, P. and Mandel, J. and Brezina, M.},
17856  journal       = {Computing},
17857  volume        = {56},
17858  number        = {3},
17859  pages         = {179--196},
17860  year          = {1996},
17861  publisher     = {Springer}
17862}
17863
17864@Article{         vanek2001convergence,
17865  title         = {Convergence of algebraic multigrid based on smoothed aggregation},
17866  author        = {Van{\v{e}}ek, P. and Brezina, M. and Mandel, J.},
17867  journal       = {Numerische Mathematik},
17868  volume        = {88},
17869  number        = {3},
17870  pages         = {559--579},
17871  year          = {2001},
17872  publisher     = {Springer}
17873}
17874
17875@Article{         brannick2007algebraic,
17876  title         = {Algebraic multigrid methods based on compatible relaxation and energy
17877                  minimization},
17878  author        = {Brannick, J. and Zikatanov, L.},
17879  journal       = {Domain decomposition methods in science and engineering XVI},
17880  pages         = {15--26},
17881  year          = {2007},
17882  publisher     = {Springer}
17883}
17884
17885@Article{         brannickfalgout2010,
17886  title         = {{Compatible Relaxation and Coarsening in Algebraic Multigrid}},
17887  author        = {James J. Brannick and Robert D. Falgout},
17888  journal       = {SIAM Journal on Scientific Computing},
17889  volume        = {32},
17890  number        = {3},
17891  pages         = {1393--1416},
17892  url           = {http://epubs.siam.org/doi/10.1137/090772216},
17893  doi           = {10.1137/090772216},
17894  issn          = {1064-8275},
17895  year          = {2010}
17896}
17897
17898@Article{         xu2004energy,
17899  title         = {On an energy minimizing basis for algebraic multigrid methods},
17900  author        = {Xu, J. and Zikatanov, L.},
17901  journal       = {Computing and Visualization in Science},
17902  volume        = {7},
17903  number        = {3},
17904  pages         = {121--127},
17905  year          = {2004},
17906  publisher     = {Springer}
17907}
17908
17909@Article{         dblp:journals/toms/bakerhlt09,
17910  author        = {C. G. Baker and Ulrich Hetmaniuk and Richard B. Lehoucq and Heidi Thornquist},
17911  title         = {Anasazi software for the numerical solution of large-scale eigenvalue problems},
17912  journal       = {ACM Trans. Math. Softw.},
17913  volume        = {36},
17914  number        = {3},
17915  year          = {2009},
17916  doi           = {10.1145/1527286.1527287},
17917  bibsource     = {DBLP, http://dblp.uni-trier.de}
17918}
17919
17920@Article{         dblp:journals/siamsc/yanggbllhn05,
17921  author        = {Chao Yang and Weiguo Gao and Zhaojun Bai and Xiaoye S. Li and Lie-Quan Lee and
17922                  Parry Husbands and Esmond G. Ng},
17923  title         = {An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation},
17924  journal       = {SIAM J. Scientific Computing},
17925  volume        = {27},
17926  number        = {3},
17927  year          = {2005},
17928  pages         = {873-892},
17929  doi           = {10.1137/040613767},
17930  bibsource     = {DBLP, http://dblp.uni-trier.de}
17931}
17932
17933@TechReport{      ml-guide,
17934  author        = {M.W. Gee and C.M. Siefert and J.J. Hu and R.S. Tuminaro and M.G. Sala},
17935  title         = {{ML} 5.0 Smoothed Aggregation User's Guide},
17936  institution   = {Sandia National Laboratories},
17937  year          = {2006},
17938  number        = {SAND2006-2649}
17939}
17940
17941@Article{         brannick06,
17942  title         = {An energy-based AMG coarsening strategy},
17943  volume        = {13},
17944  doi           = {10.1002/nla.480},
17945  number        = {2-3},
17946  journal       = {Numerical Linear Algebra with Applications},
17947  author        = {Brannick, J and Brezina, M and MacLachlan, S and Manteuffel, T and McCormick, S
17948                  and Ruge, J},
17949  year          = {2006},
17950  pages         = {133--148}
17951}
17952
17953@Article{         olson10,
17954  author        = {Olson, Luke N. and Schroder, Jacob and Tuminaro, Raymond S.},
17955  title         = {A new perspective on strength measures in algebraic multigrid},
17956  journal       = {Numerical Linear Algebra with Applications},
17957  volume        = {17},
17958  number        = {4},
17959  pages         = {713--733},
17960  year          = {2010},
17961  publisher     = {John Wiley \& Sons, Ltd.},
17962  issn          = {1099-1506},
17963  doi           = {10.1002/nla.669}
17964}
17965
17966@Article{         olson11,
17967  author        = {Olson, Luke N. and Schroder, Jacob B. and Tuminaro, Raymond S.},
17968  title         = {A General Interpolation Strategy for Algebraic Multigrid Using Energy
17969                  Minimization},
17970  journal       = {SIAM J. Sci. Comput.},
17971  issue_date    = {April 2011},
17972  volume        = {33},
17973  issue         = {2},
17974  month         = apr,
17975  year          = {2011},
17976  issn          = {1064-8275},
17977  pages         = {966--991},
17978  numpages      = {26},
17979  doi           = {10.1137/100803031},
17980  acmid         = {2078825},
17981  publisher     = {Society for Industrial and Applied Mathematics},
17982  address       = {Philadelphia, PA},
17983  keywords      = {algebraic multigrid, interpolation, non-Hermitian, nonsymmetric, smoothed
17984                  aggregation}
17985}
17986
17987@Article{         dorit2011,
17988  author        = {Dorit Ron and Ilya Safro and Achi Brandt},
17989  title         = {Relaxation-Based Coarsening and Multiscale Graph Organization},
17990  journal       = {Multiscale Modeling {\&} Simulation},
17991  volume        = {9},
17992  number        = {1},
17993  year          = {2011},
17994  pages         = {407-423},
17995  doi           = {10.1137/100791142}
17996}
17997
17998@Article{         chen2011algebraic,
17999  title         = {Algebraic distance on graphs},
18000  author        = {Chen, Jie and Safro, Ilya},
18001  journal       = {SIAM Journal on Scientific Computing},
18002  volume        = {33},
18003  number        = {6},
18004  pages         = {3468--3490},
18005  year          = {2011},
18006  publisher     = {SIAM}
18007}
18008
18009@InProceedings{   adams04,
18010  author        = {Adams, M.~F. and Bayraktar, H.~H. and Keaveny, T.~M. and Papadopoulos, P.},
18011  booktitle     = {ACM/IEEE Proceedings of SC2004: High Performance Networking and Computing},
18012  title         = {Ultrascalable implicit finite element analyses in solid mechanics with over a
18013                  half a billion degrees of freedom},
18014  note          = {Gordon Bell Award},
18015  year          = {2004}
18016}
18017
18018@Article{         adams03a,
18019  author        = {Adams, M.~F.},
18020  journal       = {Numerical Linear Algebra with Applications},
18021  number        = {2-3},
18022  pages         = {141-153},
18023  title         = {Algebraic multigrid methods for constrained linear systems with applications to
18024                  contact problems in solid mechanics},
18025  volume        = {11},
18026  year          = {2004}
18027}
18028
18029@Article{         adams-10a,
18030  author        = {M. ~F. Adams and Ravi Samtaney and Achi Brandt},
18031  doi           = {10.1016/j.jcp.2010.04.024},
18032  issn          = {0021-9991},
18033  journal       = {Journal of Computational Physics},
18034  keywords      = {Implicit magnetohydrodynamics},
18035  number        = {18},
18036  pages         = {6208 - 6219},
18037  title         = {Toward textbook multigrid efficiency for fully implicit resistive
18038                  magnetohydrodynamics},
18039  volume        = {229},
18040  year          = {2010}
18041}
18042
18043@InProceedings{   adams98,
18044  address       = {Copper Mountain, CO},
18045  author        = {Adams, M.~F.},
18046  booktitle     = {Proceedings 5th Copper Mountain Conference on Iterative Methods},
18047  title         = {A Parallel Maximal Independent Set Algorithm},
18048  year          = {1998}
18049}
18050
18051@InProceedings{   madaypatera89,
18052  author        = {Y. Maday and A. T. Patera},
18053  title         = {Spectral element methods for the {Navier-Stokes} equations},
18054  editor        = {A. K. Noor and J. T. Oden},
18055  booktitle     = {State-of-the-Art Surveys in Computational Mechanics},
18056  pages         = {71-–143},
18057  publisher     = {ASME},
18058  address       = {New York, NY},
18059  year          = {1989}
18060}
18061
18062@Article{         mishra2012mlmcfvm,
18063  title         = {Multi-level {M}onte {C}arlo finite volume methods for nonlinear systems of
18064                  conservation laws in multi-dimensions},
18065  journal       = {Journal of Computational Physics},
18066  volume        = {231},
18067  number        = {8},
18068  pages         = {3365--3388},
18069  year          = {2012},
18070  issn          = {0021-9991},
18071  doi           = {10.1016/j.jcp.2012.01.011},
18072  author        = {S. Mishra and Ch. Schwab and J. {\v S}ukys},
18073  keywords      = {Conservation laws, Euler, MHD, Uncertainty quantification, Multi-level Monte
18074                  Carlo, Parallelization}
18075}
18076
18077@Article{         barth2011mlmcfe,
18078  author        = {Barth, Andrea and Schwab, Christoph and Zollinger, Nathaniel},
18079  affiliation   = {ETH Zentrum, Seminar für Angewandte Mathematik, Rämistrasse 101, 8092 Zurich,
18080                  Switzerland},
18081  title         = {Multi-Level {M}onte {C}arlo Finite Element method for elliptic {PDE}s with
18082                  stochastic coefficients},
18083  journal       = {Numerische Mathematik},
18084  publisher     = {Springer Berlin / Heidelberg},
18085  issn          = {0029-599X},
18086  keyword       = {Mathematics and Statistics},
18087  pages         = {123-161},
18088  volume        = {119},
18089  issue         = {1},
18090  doi           = {10.1007/s00211-011-0377-0},
18091  year          = {2011}
18092}
18093
18094@Article{         nguyen2011hybridizable,
18095  title         = {Hybridizable discontinuous {G}alerkin methods},
18096  author        = {Nguyen, N.C. and Peraire, J. and Cockburn, B.},
18097  journal       = {Spectral and High Order Methods for Partial Differential Equations},
18098  pages         = {63--84},
18099  year          = {2011},
18100  publisher     = {Springer}
18101}
18102
18103@Misc{            snyder-scidac3:proposal,
18104  author        = {Philip {Snyder (PI)}},
18105  title         = {{Plasma Edge Advanced Computation (PEAC) Center}},
18106  note          = {proposal to DOE SciDAC3},
18107  month         = oct,
18108  year          = {2011}
18109}
18110
18111@Misc{            wirth-scidac3:proposal,
18112  author        = {Brian {Wirth (PI)}},
18113  title         = {{Plasma Surface Interactions: Bridging from the Surface to the Micron Frontier
18114                  through Leadership Class Computing}},
18115  note          = {proposal to DOE SciDAC3},
18116  month         = oct,
18117  year          = {2011}
18118}
18119
18120@Misc{            cary-scidac3:proposal,
18121  author        = {John {Cary (PI)}},
18122  title         = {{Integrated Multiscale Modeling for Plasma Analysis and Control of Tokamak
18123                  Stability (IMMPACTS)}},
18124  note          = {proposal to DOE SciDAC3},
18125  month         = oct,
18126  year          = {2011}
18127}
18128
18129@Misc{            vashista-scidac3:proposal,
18130  author        = {Priya {Vashista (PI)}},
18131  title         = {{Design of Damage-Tolerance Material Interfaces for Extreme
18132                  Stress-Temperature-Corrosion Environments: Algorithms and Methods for
18133                  Multi-Petaflops Simulations}},
18134  note          = {proposal to DOE SciDAC3},
18135  month         = mar,
18136  year          = {2012}
18137}
18138
18139@Article{         elemental2012,
18140  author        = {Jack Poulson and Bryan Marker and Jeff R. Hammond and Nichols A. Romero and
18141                  Robert {v}an~{d}e~{G}eijn},
18142  title         = {Elemental: A New Framework for Distributed Memory Dense Matrix Computations},
18143  journal       = {{ACM} Transactions on Mathematical Software},
18144  volume        = {39},
18145  number        = {2},
18146  year          = {2013}
18147}
18148
18149@Misc{            elemental-web-page,
18150  author        = {Jack Poulson},
18151  title         = {Elemental: Distributed memory dense linear algebra},
18152  howpublished  = {\url{http://libelemental.org}},
18153  url           = {http://libelemental.org/},
18154  year          = {2015}
18155}
18156
18157@Book{            scalesreport,
18158  title         = {A Science-based Case for Large-scale Simulation},
18159  editor        = {D. E. Keyes},
18160  publisher     = {U.S. Department of Energy},
18161  year          = {2004},
18162  url           = {http://www.pnl.gov/scales}
18163}
18164
18165@InProceedings{   cilk95,
18166  address       = {Santa Barbara, California},
18167  author        = {Robert D. Blumofe and Christopher F. Joerg and Bradley C. Kuszmaul and Charles E.
18168                  Leiserson and Keith H. Randall and Yuli Zhou},
18169  booktitle     = {Proceedings of the Fifth ACM SIGPLAN Symposium on Principles and Practice of
18170                  Parallel Programming (PPoPP)},
18171  day           = {19--21},
18172  month         = jul,
18173  pages         = {207--216},
18174  title         = {{Cilk}: An Efficient Multithreaded Runtime System},
18175  year          = {1995}
18176}
18177
18178@Misc{            valgrind-web-page,
18179  author        = {Julian Seward},
18180  title         = {Valgrind},
18181  url           = {http://valgrind.org/},
18182  howpublished  = {\url{http://valgrind.org/}},
18183  year          = {2012}
18184}
18185
18186@Article{         blas79,
18187  author        = {C.~L. Lawson and R.~J. Hanson and D. Kincaid and F.~T. Krogh},
18188  title         = {Basic linear algebra subprograms for Fortran usage},
18189  journal       = {ACM Transactions on Mathematical Software},
18190  volume        = {5},
18191  pages         = {308--323},
18192  year          = {1979}
18193}
18194
18195@TechReport{      lapack90,
18196  author        = {E. Anderson and Z. Bai and C. Bischof and J. Demmel and J. Dongarra and J.
18197                  Du~Croz and A. Greenbaum and S. Hammarling and A. McKenney and D. Sorensen},
18198  title         = {{LAPACK}: A portable linear algebra library for high-performance computers},
18199  institution   = {Computer Science Dept., University of Tennessee},
18200  number        = {CS-90-105},
18201  month         = may,
18202  year          = {1990}
18203}
18204
18205@TechReport{      nvidiafermi,
18206  author        = {NVIDIA},
18207  title         = {{NVIDIA}'s Next Generation {CUDA} Compute Architecture: {F}ermi},
18208  institution   = {NVIDIA},
18209  year          = {2009}
18210}
18211
18212@Misc{            intelmic,
18213  author        = {Many Core Group, Cambridge University},
18214  title         = {Intel Many Integrated Core Architecture},
18215  howpublished  = {\url{http://www.many-core.group.cam.ac.uk/ukgpucc2/talks/Elgar.pdf}},
18216  month         = dec,
18217  year          = {2010}
18218}
18219
18220@Article{         abusufahkucklawrie81,
18221  author        = {W. Abu-Sufah and D.~J. Kuck and D.~H. Lawrie},
18222  title         = {On the Performance Enhancement of Paging Systems Through Program Analysis and
18223                  Transformations},
18224  journal       = {IEEE Trans. Comput.},
18225  volume        = {30},
18226  number        = {5},
18227  pages         = {341--356},
18228  year          = {1981}
18229}
18230
18231@InProceedings{   guobikshandifraguelagarzaranpadua08,
18232  author        = {Guo, Jia and Bikshandi, Ganesh and Fraguela, Basilio B. and Garzaran, Maria J.
18233                  and Padua, David},
18234  title         = {Programming with tiles},
18235  booktitle     = {Proceedings of the 13th ACM SIGPLAN Symposium on Principles and practice of
18236                  parallel programming},
18237  series        = {PPoPP '08},
18238  year          = {2008},
18239  isbn          = {978-1-59593-795-7},
18240  location      = {Salt Lake City, UT},
18241  pages         = {111--122},
18242  numpages      = {12},
18243  doi           = {10.1145/1345206.1345225},
18244  acmid         = {1345225},
18245  publisher     = {ACM},
18246  address       = {New York, NY}
18247}
18248
18249@Article{         strout04,
18250  journal       = {International Journal of High Performance Computing Applications},
18251  year          = {2004},
18252  title         = {Sparse Tiling for Stationary Iterative Methods},
18253  month         = feb,
18254  publisher     = {Sage Publications},
18255  pages         = {95-114},
18256  volume        = {18},
18257  number        = {1},
18258  author        = {Michelle Mills Strout and Larry Carter and Jeanne Ferrante and Barbara Kreaseck}
18259}
18260
18261@Misc{            openclstandard,
18262  author        = {Khronos Group},
18263  title         = {{OpenCL} 1.2 Specification},
18264  howpublished  = {\url{http://www.khronos.org/registry/cl/specs/opencl-1.2.pdf}},
18265  url           = {http://www.khronos.org/registry/cl/specs/opencl-1.2.pdf},
18266  year          = {2011}
18267}
18268
18269@Misc{            stlguide,
18270  author        = {SGI},
18271  title         = {Standard Template Library Programmer's Guide},
18272  howpublished  = {\url{http://www.sgi.com/tech/stl/}},
18273  url           = {http://www.sgi.com/tech/stl/},
18274  year          = {2011}
18275}
18276
18277@Book{            stepanov09,
18278  author        = {Alexander Stepanov and Paul McJones},
18279  title         = {Elements of Programming},
18280  publisher     = {Addison-Wesley},
18281  isbn          = {978-0-321-63537-2},
18282  year          = {2009}
18283}
18284
18285@Article{         bangerthhartmannkanschat2007,
18286  author        = {W. Bangerth and R. Hartmann and G. Kanschat},
18287  title         = {{deal.II} -- a General Purpose Object Oriented Finite Element Library},
18288  journal       = {ACM Trans. Math. Softw.},
18289  year          = {2007},
18290  volume        = {33},
18291  number        = {4},
18292  pages         = {24/1--24/27}
18293}
18294
18295@Misc{            dealii-web-page,
18296  author        = {W. Bangerth and R. Hartmann and G. Kanschat},
18297  title         = {{deal.II}},
18298  howpublished  = {\url{http://www.dealii.org/}},
18299  url           = {http://www.dealii.org/},
18300  year          = {2012}
18301}
18302
18303@InBook{          siek2012,
18304  title         = {The C++0x ``Concepts'' Effort},
18305  author        = {Jeremy G. Siek},
18306  editor        = {Jeremy Gibbons},
18307  booktitle     = {Generic and Indexed Programming: International Spring School, SSGIP 2010, Oxford,
18308                  UK, March 22-26, 2010, Revised Lectures},
18309  pages         = {175--216},
18310  isbn          = {978-3-642-32202-0},
18311  doi           = {10.1007/978-3-642-32202-0_4},
18312  url           = {http://arxiv.org/abs/1201.0027},
18313  note          = {\url{http://arxiv.org/abs/1201.0027}},
18314  publisher     = {Springer Berlin Heidelberg},
18315  year          = {2012}
18316}
18317
18318@Misc{            sharpclaw,
18319  note          = {\url{http://numerics.kaust.edu.sa/sharpclaw}},
18320  author        = {Ketcheson, D. I. and Parsani, M.},
18321  keywords      = {clawpack,finite volumes,godunov type methods,high order methods,hyperbolic
18322                  PDEs,sharpclaw,software},
18323  mendeley-tags = {clawpack,finite volumes,godunov type methods,high order methods,hyperbolic
18324                  PDEs,sharpclaw,software},
18325  title         = {{SharpClaw software}},
18326  year          = {2011}
18327}
18328
18329@Book{            leveque2002,
18330  title         = {Finite volume methods for hyperbolic problems},
18331  author        = {Randall J LeVeque},
18332  volume        = {31},
18333  year          = {2002}
18334}
18335
18336@Misc{            clawpack45,
18337  note          = {\url{http://www.clawpack.org}},
18338  author        = {LeVeque, R. J. and Berger, M. J.},
18339  keywords      = {clawpack,finite volumes,hyperbolic PDEs,software},
18340  mendeley-tags = {clawpack,finite volumes,hyperbolic PDEs,software},
18341  title         = {{Clawpack Software version 4.5}},
18342  url           = {www.clawpack.org},
18343  year          = {2011}
18344}
18345
18346@Article{         nilsen2010,
18347  archiveprefix = {arXiv},
18348  arxivid       = {arXiv:1002.0705v1},
18349  author        = {Nilsen, J.K. and Cai, X. and H{\o}yland, Bj{\o} rn and Langtangen, H. P.},
18350  eprint        = {arXiv:1002.0705v1},
18351  file          = {:Users/ketch/Documents/Mendeley Desktop/Nilsen et al/2010 - Simplifying the
18352                  parallelization of scientific codes by a function-centric approach in
18353                  Python.pdf:pdf},
18354  journal       = {Computational Science \& Discovery},
18355  keywords      = {parallel,programming,python,software},
18356  mendeley-tags = {parallel,programming,python,software},
18357  pages         = {015003},
18358  publisher     = {IOP Publishing},
18359  title         = {{Simplifying the parallelization of scientific codes by a function-centric
18360                  approach in Python}},
18361  url           = {http://iopscience.iop.org/1749-4699/3/1/015003},
18362  volume        = {3},
18363  year          = {2010}
18364}
18365
18366@Book{            langtangen09,
18367  author        = {Hans Petter Langtangen},
18368  title         = {Python Scripting for Computational Science},
18369  publisher     = {Springer},
18370  series        = {Texts in Computational Science and Engineering},
18371  pages         = {784},
18372  isbn          = {3540739157},
18373  year          = {2009}
18374}
18375
18376@Book{            numpyguide,
18377  author        = {Travis E. Oliphant},
18378  title         = {Guide to {N}umpy},
18379  publisher     = {Trelgol},
18380  year          = {2008}
18381}
18382
18383@Misc{            pycuda,
18384  author        = {Andreas Kl\"ockner},
18385  title         = {{PyCUDA}},
18386  howpublished  = {\url{http://mathema.tician.de/software/pycuda}},
18387  year          = {2011}
18388}
18389
18390@Misc{            pyopencl,
18391  author        = {Andreas Kl\"ockner},
18392  title         = {{PyOpenCL}},
18393  howpublished  = {\url{http://mathema.tician.de/software/pyopencl}},
18394  year          = {2011}
18395}
18396
18397@Article{         klockner2012,
18398  author        = {Andreas Kl\"{o}ckner and Nicolas Pinto and Yunsup Lee and Bryan Catanzaro and
18399                  Paul Ivanov and Ahmed Fasih},
18400  title         = {{PyCUDA} and {PyOpenCL}: A scripting-based approach to {GPU} run-time code
18401                  generation},
18402  journal       = {Parallel Computing},
18403  volume        = {38},
18404  number        = {3},
18405  pages         = {157--174},
18406  year          = {2012},
18407  issn          = {0167-8191},
18408  doi           = {10.1016/j.parco.2011.09.001}
18409}
18410
18411%%%%%% Matt Stuff %%%%%%
18412@Article{         morrabozdagknepleyrassvesselinov,
18413  title         = {A Tectonic Shift in Analytics and Computing Is Coming},
18414  author        = {Gabriele Morra and Ebru Bozdag and Matthew G. Knepley and Ludovic R\"ass and
18415                  Velimir Vesselinov},
18416  journal       = {Eos},
18417  volume        = {102},
18418  doi           = {10.1029/2021EO159258},
18419  month         = {Jun},
18420  year          = {2021}
18421}
18422
18423@Misc{            knepley:icerm-workshop:2012,
18424  author        = {David Keyes and Matthew Knepley and Katherine Yelick},
18425  title         = {Synchronization-reducing and Communication-reducing Algorithms and Programming
18426                  Models for Large-scale Simulations},
18427  note          = {Workshop sponsored by the Institute for Computational and Experimental Research
18428                  in Mathematics (ICERM), Jan. 9-13, 2012, Providence, RI,
18429                  \url{http://icerm.brown.edu/tw12-1-exascale}},
18430  year          = {2012}
18431}
18432
18433@TechReport{      kirbyknepleyscott04,
18434  author        = {Robert C. Kirby and Matthew G. Knepley and L. Ridgway Scott},
18435  title         = {Optimal Evaluation of Finite Element Matrices},
18436  type          = {Technical Report},
18437  number        = {TR-2004-04},
18438  institution   = {University of Chicago},
18439  url           = {http://www.cs.uchicago.edu/research/publications/techreports/TR-2004-04},
18440  note          = {\url{http://www.cs.uchicago.edu/research/publications/techreports/TR-2004-04}},
18441  pages         = {14},
18442  month         = may,
18443  year          = {2004}
18444}
18445
18446@TechReport{      kirbyknepleyscott10,
18447  author        = {Robert C. Kirby and Matthew G. Knepley and L. Ridgway Scott},
18448  title         = {Languages and Compilers for Variational Forms},
18449  type          = {Technical Report},
18450  number        = {TR-2010-09},
18451  institution   = {University of Chicago},
18452  url           = {http://www.cs.uchicago.edu/research/publications/techreports/TR-2010-09},
18453  note          = {\url{http://www.cs.uchicago.edu/research/publications/techreports/TR-2010-09}},
18454  month         = oct,
18455  year          = {2010}
18456}
18457
18458@TechReport{      kirbyknepleyscott10b,
18459  author        = {Robert C. Kirby and Matthew G. Knepley and L. Ridgway Scott},
18460  title         = {Evaluation of the Action of Finite Element Operators},
18461  type          = {Technical Report},
18462  number        = {TR-2010-08},
18463  institution   = {University of Chicago},
18464  url           = {http://www.cs.uchicago.edu/research/publications/techreports/TR-2010-08},
18465  note          = {\url{http://www.cs.uchicago.edu/research/publications/techreports/TR-2010-08}},
18466  month         = oct,
18467  year          = {2010}
18468}
18469
18470@TechReport{      bruneknepleyscott11,
18471  author        = {Peter R. Brune and Matthew G. Knepley and L. Ridgway Scott},
18472  title         = {Exponential grids in high-dimensional space},
18473  type          = {Technical Report},
18474  number        = {TR-2011-07},
18475  institution   = {University of Chicago},
18476  url           = {http://www.cs.uchicago.edu/research/publications/techreports/TR-2011-07},
18477  note          = {\url{http://www.cs.uchicago.edu/research/publications/techreports/TR-2011-07}},
18478  month         = dec,
18479  year          = {2011}
18480}
18481
18482@TechReport{      zheng11,
18483  author        = {Liang Zheng and Taras Gerya and Matthew G. Knepley and David A. Yuen and Huai
18484                  Zhang and Yaolin Shi},
18485  title         = {Implementation of a multigrid solver on {GPU} for {Stokes} equations with
18486                  strongly variable viscosity based on {Matlab} and {CUDA}},
18487  type          = {Research Report},
18488  number        = {UMSI 2011/33},
18489  institution   = {University of Minnesota Supercomputing Institute},
18490  url           = {http://static.msi.umn.edu/rreports/2011/33.pdf},
18491  note          = {\url{http://static.msi.umn.edu/rreports/2011/33.pdf}},
18492  month         = mar,
18493  year          = {2011}
18494}
18495
18496@InProceedings{   zheng2010,
18497  author        = {Liang Zheng and Taras Gerya and David A. Yuen and Matthew G. Knepley and Huai
18498                  Zhang and Yaolin Shi},
18499  title         = {{GPU} Implementation of {Stokes} Equation with Strongly Variable Coefficients},
18500  booktitle     = {Eos Transactions of the AGU},
18501  organization  = {American Geophysical Union},
18502  note          = {Fall Meeting Supplemental, Abstract IN41A-1350},
18503  year          = {2010}
18504}
18505
18506@InCollection{    terrelkirbyknepleyscott12,
18507  author        = {Andy R. Terrel and Robert C. Kirby and Matthew G. Knepley and L. Ridgway Scott
18508                  and Garth N. Wells},
18509  title         = {Finite elements for incompressible fluids},
18510  editors       = {A. Logg and K.A. Mardal and G. N. Wells},
18511  booktitle     = {Automated solutions of differential equations by the finite element method},
18512  series        = {Lecture Notes in Computational Science and Engineering},
18513  volume        = {84},
18514  pages         = {163--169},
18515  publisher     = {Springer-Verlag},
18516  year          = {2012}
18517}
18518
18519@InCollection{    mardalhaga12,
18520  author        = {Kent-Andre Mardal and Joachim Berdal Haga},
18521  title         = {Block preconditioning of systems of PDEs},
18522  editors       = {A. Logg and K.A. Mardal and G. N. Wells},
18523  booktitle     = {Automated solutions of differential equations by the finite element method},
18524  series        = {Lecture Notes in Computational Science and Engineering},
18525  volume        = {84},
18526  pages         = {643--655},
18527  publisher     = {Springer-Verlag},
18528  year          = {2012}
18529}
18530
18531@InCollection{    kirbyknepleyloggscottterrel12,
18532  author        = {Robert C. Kirby and Matthew G. Knepley and Anders Logg and L. Ridgway Scott and
18533                  Andy R. Terrel},
18534  title         = {Discrete optimization of finite element matrix evaluation},
18535  editors       = {A. Logg and K.A. Mardal and G. N. Wells},
18536  booktitle     = {Automated solutions of differential equations by the finite element method},
18537  series        = {Lecture Notes in Computational Science and Engineering},
18538  volume        = {84},
18539  pages         = {385--397},
18540  publisher     = {Springer-Verlag},
18541  year          = {2012}
18542}
18543
18544@InCollection{    kirby12,
18545  author        = {Robert C. Kirby},
18546  title         = {{FIAT}: Numerical Construction of Finite Element Basis Functions},
18547  editors       = {A. Logg and K.A. Mardal and G. N. Wells},
18548  booktitle     = {Automated solutions of differential equations by the finite element method},
18549  series        = {Lecture Notes in Computational Science and Engineering},
18550  volume        = {84},
18551  publisher     = {Springer-Verlag},
18552  year          = {2012}
18553}
18554
18555@Article{         brownconveryhotesknepleypetropolous1993,
18556  author        = {Robert W. Brown and Mary Convery and Scott Hotes and Matthew G. Knepley and
18557                  Labros Petropolous},
18558  title         = {Closed strings with low harmonics and kinks},
18559  journal       = {Physical Review D},
18560  volume        = {48},
18561  number        = {6},
18562  year          = {1993}
18563}
18564
18565@Article{         minimax1996,
18566  title         = {MiniMax: What has been learned thus far},
18567  author        = {Mary E. Convery and W.~L. Davis and Ken W. Del Signore and Tom L. Jenkins and
18568                  Erik Kangas and Matthew G. Knepley and Ken L. Kowalski and Cyrus C. Taylor and
18569                  C.~H. Wang and S.~H. Oh and W.~D. Walker and P.~L. Colestock and B. Hanna and M.
18570                  Martens and J. Streets and R.~C. Ball and H.~R. Gustafson and L.~W. Jones and
18571                  M.~J. Longo and J.~D. Bjorken and N. Morgan and C.~A. Pruneau},
18572  journal       = {Nuovo Cimento},
18573  volume        = {19},
18574  number        = {1},
18575  pages         = {1045--1049},
18576  year          = {1996}
18577}
18578
18579@Article{         minimax1997,
18580  author        = {Minimax Collaboration},
18581  title         = {Analysis of Charged Particle/Photon Correlations in Hadronic Multiparticle
18582                  Production},
18583  journal       = {Physical Review D},
18584  volume        = {55},
18585  number        = {9},
18586  year          = {1997}
18587}
18588
18589@Article{         minimax2000,
18590  author        = {Minimax Collaboration},
18591  title         = {Search for disoriented chiral condensate at the {Fermilab} {Tevatron}},
18592  journal       = {Physical Review D},
18593  volume        = {61},
18594  number        = {3},
18595  year          = {2000}
18596}
18597
18598@Article{         kirbyknepleyloggscott05,
18599  author        = {Robert C. Kirby and Matthew G. Knepley and Anders Logg and L. Ridgway Scott},
18600  title         = {Optimizing the evaluation of finite element matrices},
18601  journal       = {SIAM Journal on Scientific Computing},
18602  volume        = {27},
18603  number        = {3},
18604  pages         = {741--758},
18605  year          = {2005}
18606}
18607
18608@Article{         bardhanknepleyanitescu2008,
18609  author        = {Jaydeep P. Bardhan and Matthew G. Knepley and Mihai Anitescu},
18610  title         = {Bounding the Electrostatic Free Energies Associated with Linear Continuum Models
18611                  of Molecular Solvation},
18612  journal       = {Journal of Chemical Physics},
18613  volume        = {130},
18614  number        = {10},
18615  pages         = {104108},
18616  note          = {Selected for the March 15, 2009 issue of Virtual Journal of Biological Physics
18617                  Research},
18618  doi           = {10.1063/1.3081148},
18619  year          = {2008}
18620}
18621
18622%Poster at Biophysical Society Fall Meeting
18623@Article{         bardhanknepley2017,
18624  author        = {Jaydeep P. Bardhan and Matthew G. Knepley},
18625  title         = {Accurate Atom-by-Atom Predictions of Solvation Electrostatics Using a
18626                  Hydration-Shell {Poisson}-{Boltzmann} Model},
18627  journal       = {Biophysical Journal},
18628  volume        = {110},
18629  number        = {3},
18630  note          = {Fall Meeting Supplemental, Abstract DI14A-08},
18631  doi           = {10.1016/j.bpj.2015.11.1766},
18632  year          = {2017}
18633}
18634
18635@Article{         tabrizirahimigoossensknepleybardhan2018,
18636  title         = {Solvation Thermodynamics of Neutral and Charged Solutes Using the Solvation-Layer
18637                  Interface Condition (SLIC) Continuum Dielectric Model},
18638  author        = {Amirhossein Molavi Tabrizi and Ali Mehdizadeh Rahimi and Spencer Goossens and
18639                  Matthew G. Knepley and Jaydeep P. Bardhan},
18640  journal       = {International Journal of Quantum Chemistry},
18641  note          = {Accepted},
18642  year          = {2018}
18643}
18644
18645@Article{         knepley2010,
18646  author        = {Stodden, V. and Knepley, M. G. and Wiggins, C. and LeVeque, R. J. and Donoho, D.
18647                  and Fomel, S. and Friedlander, M. P. and Gerstein, M. and Mitchell, I. and
18648                  Ouellette, L. L. and Bramble, N. W. and Brown, P. O. and Carey, V. and DeNardis,
18649                  L. and Gentleman, R. and {Gezelter, J}, D. and Goodman, A. and Moore, J. E. and
18650                  Pasquale, F. A. and Rolnick, J. and Seringhaus, M. and Subramanian, R.},
18651  title         = {{Reproducible Research: addressing the need for data and code sharing in
18652                  computational science}},
18653  journal       = {Computing in Science and Engineering},
18654  volume        = {12},
18655  number        = {5},
18656  pages         = {8--13},
18657  url           = {http://www.bepress.com/cgi/viewcontent.cgi?article=1034\&amp;amp;context=sagmb},
18658  year          = {2010}
18659}
18660
18661@Article{         ketchesonahmadiaknepley2011,
18662  title         = {Conference Review: High Performance Computing and Hybrid Programming Concepts for
18663                  Hyperbolic PDE Codes},
18664  author        = {David I. Ketcheson and Aron Ahmadia and Matthew G. Knepley},
18665  journal       = {SIAM News},
18666  volume        = {44},
18667  number        = {7},
18668  month         = sep,
18669  note          = {\url{http://www.siam.org/pdf/news/1912.pdf}},
18670  year          = {2011}
18671}
18672
18673@Article{         yokotabardhanknepleybarbahamada2011,
18674  author        = {Rio Yokota and Jaydeep P. Bardhan and Matthew G. Knepley and L.A. Barba and
18675                  Tsuyoshi Hamada},
18676  title         = {Biomolecular electrostatics using a fast multipole {BEM} on up to 512 {GPU}s and
18677                  a billion unknowns},
18678  journal       = {Computer Physics Communications},
18679  volume        = {182},
18680  number        = {6},
18681  pages         = {1272--1283},
18682  year          = {2011},
18683  issn          = {0010-4655},
18684  doi           = {10.1016/j.cpc.2011.02.013},
18685  url           = {http://arxiv.org/abs/1007.4591}
18686}
18687
18688@Article{         bardhanknepley2011,
18689  author        = {Jaydeep P. Bardhan and Matthew G. Knepley},
18690  title         = {Mathematical Analysis of the {BIBEE} Approximation for Molecular Solvation: Exact
18691                  Results for Spherical Inclusions},
18692  journal       = {Journal of Chemical Physics},
18693  volume        = {135},
18694  number        = {12},
18695  pages         = {124107--124117},
18696  url           = {http://arxiv.org/abs/1109.0651},
18697  note          = {\url{http://arxiv.org/abs/1109.0651}},
18698  year          = {2011}
18699}
18700
18701@Article{         bruneknepleyscott2013,
18702  author        = {Peter R. Brune and Matthew G. Knepley and L. Ridgway Scott},
18703  title         = {Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and
18704                  Graded Meshes},
18705  journal       = {SIAM Journal on Scientific Computing},
18706  url           = {http://arxiv.org/abs/1104.0261},
18707  note          = {\url{http://arxiv.org/abs/1104.0261}},
18708  volume        = {35},
18709  number        = {1},
18710  pages         = {A173--A191},
18711  year          = {2013}
18712}
18713
18714@Article{         bardhanknepley2012a,
18715  author        = {Jaydeep P. Bardhan and Matthew G. Knepley},
18716  title         = {Computational science and re-discovery: open-source implementations of
18717                  ellipsoidal harmonics for problems in potential theory},
18718  journal       = {Computational Science \& Discovery},
18719  volume        = {5},
18720  pages         = {014006},
18721  note          = {\url{http://arxiv.org/abs/1204.0267}},
18722  doi           = {10.1088/1749-4699/5/1/014006},
18723  year          = {2012}
18724}
18725
18726@Article{         kreienkampetal2013,
18727  author        = {Amy Kreienkamp and Lucy Y. Liu and Mona S. Minkara and Matthew G. Knepley and
18728                  Jaydeep P. Bardhan and Mala L. Radhakrishnan},
18729  title         = {Analysis of fast boundary-integral approximations for modeling electrostatic
18730                  contributions of molecular binding},
18731  journal       = {Molecular Based Mathematical Biology},
18732  volume        = {1},
18733  pages         = {124--150},
18734  doi           = {10.2478/mlbmb-2013-0007},
18735  issn          = {2299-3266},
18736  month         = jun,
18737  note          = {\url{http://www.degruyter.com/view/j/mlbmb.2012.1.issue/mlbmb-2013-0007/mlbmb-2013-0007.xml}},
18738  year          = {2013}
18739}
18740
18741@Article{         bardhanknepleybrune2015,
18742  author        = {Jaydeep P. Bardhan and Matthew G. Knepley and Peter R. Brune},
18743  title         = {Analytical Nonlocal Electrostatics Using Eigenfunction Expansions of
18744                  Boundary-Integral Operators},
18745  journal       = {Molecular Based Mathematical Biology},
18746  volume        = {3},
18747  number        = {1},
18748  pages         = {1--22},
18749  doi           = {10.1515/mlbmb-2015-0001},
18750  year          = {2015}
18751}
18752
18753@Article{         bardhanknepley14,
18754  author        = {Jaydeep P. Bardhan and Matthew G. Knepley},
18755  title         = {Modeling Charge-Sign Asymmetric Solvation Free Energies With Nonlinear Boundary
18756                  Conditions},
18757  journal       = {Journal of Chemical Physics},
18758  volume        = {141},
18759  number        = {13},
18760  pages         = {131103},
18761  doi           = {10.1063/1.4897324},
18762  year          = {2014}
18763}
18764
18765@InProceedings{   bardhantejaniwieckowskiramaswamyknepley2015,
18766  title         = {A Nonlinear Boundary Condition for Continuum Models of Biomolecular
18767                  Electrostatics},
18768  author        = {Jaydeep P. Bardhan and D. A. Tejani and N. S. Wieckowski and A. Ramaswamy and
18769                  Matthew G. Knepley},
18770  booktitle     = {Proceedings of PIERS},
18771  pages         = {1215--1221},
18772  month         = jul,
18773  url           = {http://piers.org/piersproceedings/piers2015PragueProc.php?start=250},
18774  year          = {2015}
18775}
18776
18777@Article{         tabriziknepleybardhan2016,
18778  title         = {Generalising the mean spherical approximation as a multiscale, nonlinear boundary
18779                  condition at the solute-solvent interface},
18780  author        = {Amirhossein Molavi Tabrizi and Matthew G. Knepley and Jaydeep P. Bardhan},
18781  journal       = {Molecular Physics},
18782  volume        = {114},
18783  number        = {16-17},
18784  pages         = {2558--2567},
18785  doi           = {10.1080/00268976.2016.1198503},
18786  year          = {2016}
18787}
18788
18789% http://tex.stackexchange.com/questions/155532/biblatex-and-pubmed-pubmed-central-ids
18790@Article{         tabrizigoossensrahimiknepleybardhan2017,
18791  title         = {Predicting Solvation Free Energies and Thermodynamics in Polar Solvents and
18792                  Mixtures Using a Solvation-Layer Interface Condition},
18793  author        = {Amirhossein Molavi Tabrizi and Spencer Goossens and Ali Mehdizadeh Rahimi and
18794                  Matthew G. Knepley and Jaydeep P. Bardhan},
18795  journal       = {Journal of Chemical Physics},
18796  volume        = {146},
18797  number        = {9},
18798  pages         = {094103},
18799  url           = {http://scitation.aip.org/content/aip/journal/jcp/146/9/10.1063/1.4977037},
18800  eprint        = {https://arxiv.org/abs/1611.02150},
18801  doi           = {10.1063/1.4977037},
18802  note          = {PMCID: PMC5336475},
18803  year          = {2017}
18804}
18805
18806@Article{         tabrizigoossenscooperknepleybardhan2017,
18807  title         = {Extending the Solvation-Layer Interface Condition {(SLIC)} Continum Electrostatic
18808                  Model to Linearized {Poisson}-{Boltzmann} Solvent},
18809  author        = {Amirhossein Molavi Tabrizi and Spencer Goossens and Christopher D. Cooper and
18810                  Matthew G. Knepley and Jaydeep P. Bardhan},
18811  number        = {6},
18812  pages         = {2897--2914},
18813  journal       = {Journal of Chemical Theory and Computation},
18814  year          = {2017}
18815}
18816
18817@InProceedings{   mcclanahan2011,
18818  author        = {McClanahan, C and Czechowski, Kent and Battaglino, Casey and Iyer, K and Yeung, P
18819                  K and Vuduc, Richard},
18820  booktitle     = {Proc. ACM/IEEE Conf. Supercomputing (SC)},
18821  title         = {{Prospects for scalable 3D FFTs on heterogeneous exascale systems}},
18822  url           = {http://mcclanahoochie.com/blog/wp-content/uploads/2011/01/fft-sc11.pdf},
18823  year          = {2011}
18824}
18825
18826@Article{         ghyselsashbymeerbergenvanroose2013,
18827  author        = {Ghysels, P. and Ashby, T.J. and Meerbergen, K. and Vanroose, W.},
18828  title         = {Hiding global communication latency in the {GMRES} algorithm on massively
18829                  parallel machines},
18830  journal       = {SIAM Journal on Scientific Computing},
18831  volume        = {35},
18832  number        = {1},
18833  pages         = {C48--C71},
18834  year          = {2013}
18835}
18836
18837@Article{         ghyselsvanroose2014,
18838  author        = {P. Ghysels and W. Vanroose},
18839  title         = {Hiding Global Synchronization Latency in the Preconditioned Conjugate Gradient
18840                  Algorithm},
18841  journal       = {Parallel Computing},
18842  volume        = {40},
18843  number        = {7},
18844  pages         = {224--238},
18845  note          = {7th Workshop on Parallel Matrix Algorithms and Applications},
18846  doi           = {10.1016/j.parco.2013.06.001},
18847  year          = {2014}
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18851  author        = {R. Strzodka and D. G\"oddeke},
18852  title         = {Pipelined Mixed Precision Algorithms on {FPGA}s for Fast and Accurate PDE Solvers
18853                  from Low Precision Components},
18854  booktitle     = {Proceedings of the 14th Annual IEEE Symposium on Field-Programmable Custom
18855                  Computing Machines},
18856  note          = {FCCM ’06},
18857  pages         = {259--270},
18858  year          = {2006},
18859  organization  = {IEEE Computer Society}
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18864  title         = {Electromagnetic Scattering with the Boundary Integral Method on {MIMD} Systems},
18865  editors       = {P. Sloot, M. Bubak, A. Hoekstra, and B. Hertzberger},
18866  booktitle     = {High-Performance Computing and Networking},
18867  series        = {Lecture Notes in Computer Science},
18868  volume        = {1593},
18869  pages         = {1025--1031},
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18876  title         = {{Implementation and Performance Analysis of Non-Blocking Collective Operations
18877                  for MPI}},
18878  booktitle     = {Proceedings of the 2007 International Conference on High Performance Computing,
18879                  Networking, Storage and Analysis, SC07},
18880  location      = {Reno, NV},
18881  publisher     = {IEEE Computer Society/ACM},
18882  source        = {http://www.unixer.de/~htor/publications/},
18883  month         = nov,
18884  year          = {2007}
18885}
18886
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18890  booktitle     = {Proceedings of the 2010 ACM SIGPLAN Symposium on Principles and Practice of
18891                  Parallel Programming (PPoPP'10)},
18892  month         = jan,
18893  location      = {Bangalore, India},
18894  publisher     = {ACM},
18895  isbn          = {978-1-60558-708-0},
18896  source        = {http://www.unixer.de/~htor/publications/},
18897  pages         = {159--168},
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18907  pages         = {11},
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18909  publisher     = {ACM}
18910}
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18919  year          = {1994},
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18931  pages         = {153--168}
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18935  title         = {Parallel Iterative {S-step} Methods for Unsymmetric Linear Systems},
18936  author        = {A. T. Chronopoulos and C. D. Swanson},
18937  journal       = {Parallel Computing},
18938  volume        = {22},
18939  number        = {5},
18940  year          = {1996},
18941  pages         = {623--641}
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18945  author        = {A. T. Chronopoulos and A. Kucherov},
18946  title         = {Block {S-step} {Krylov} Iterative Methods},
18947  journal       = {Numerical Linear Algebra with Applications},
18948  volume        = {17},
18949  number        = {1},
18950  pages         = {3--15},
18951  year          = {2010}
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18953
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18955  title         = {Reducing the effect of global communication in {GMRES(m)} and {CG} on parallel
18956                  distributed memory computers},
18957  volume        = {18},
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18962  year          = {1995},
18963  pages         = {441--459}
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18965
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18967  title         = {Parallelizable restarted iterative methods for nonsymmetric linear systems. part
18968                  I: Theory},
18969  volume        = {44},
18970  url           = {},
18971  number        = {},
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18974  year          = {1992},
18975  pages         = {243--267}
18976}
18977
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18979  title         = {A hybrid {Chebyshev} {Krylov}-subspace algorithm for solving nonsymmetric systems
18980                  of linear equations},
18981  volume        = {7},
18982  url           = {},
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18984  journal       = {SIAM Journal on Scientific and Statistical Computing},
18985  author        = {Howard Elman and Y. Saad and P. E. Saylor},
18986  year          = {1986},
18987  pages         = {840--855}
18988}
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18991  author        = {Eldar Giladi and Gene H. Golub and Joseph B. Keller},
18992  title         = {Inner and outer iterations for the {Chebyshev} algorithm},
18993  journal       = {SIAM J. Numer. Anal},
18994  year          = {1995},
18995  volume        = {35},
18996  pages         = {300--319}
18997}
18998
18999@Article{         golub_varga_1961,
19000  title         = {{Chebyshev} semi-iterative methods, successive overrelaxation iterative methods,
19001                  and second-order {Richardson} iterative methods, parts {I} and {II}},
19002  volume        = {3},
19003  url           = {},
19004  number        = {},
19005  journal       = {Numer. Math.},
19006  author        = {Gene Golub and R.S. Varga},
19007  year          = {1961},
19008  pages         = {147--168}
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19012  title         = {An efficient hierarchical preconditioner for quadratic discretizations of finite
19013                  element problems},
19014  volume        = {18},
19015  doi           = {10.1002/nla.757},
19016  number        = {5},
19017  journal       = {Numerical Linear Algebra with Applications},
19018  author        = {A. {El maliki} and R. Guenette and M. Fortin},
19019  year          = {2011},
19020  pages         = {789-803}
19021}
19022
19023@Article{         adavani2008multigrid,
19024  title         = {Multigrid Algorithms for Inverse Problems with Linear Parabolic {PDE}
19025                  Constraints},
19026  author        = {Adavani, S.S. and Biros, G.},
19027  journal       = {SIAM Journal on Scientific Computing},
19028  volume        = {31},
19029  number        = {1},
19030  pages         = {369--397},
19031  year          = {2008},
19032  publisher     = {Society for Industrial and Applied Mathematics}
19033}
19034
19035@Article{         horton1995space,
19036  title         = {A space-time multigrid method for parabolic {PDE}s},
19037  author        = {Horton, G. and Vandewalle, S.},
19038  journal       = {SIAM Journal on Scientific Computing},
19039  volume        = {16},
19040  number        = {4},
19041  pages         = {848--864},
19042  year          = {1995}
19043}
19044
19045@Article{         lewis2005model,
19046  title         = {Model problems for the multigrid optimization of systems governed by differential
19047                  equations},
19048  author        = {Lewis, R.M. and Nash, S.G.},
19049  journal       = {SIAM Journal on Scientific Computing},
19050  volume        = {26},
19051  number        = {6},
19052  pages         = {1811--1837},
19053  year          = {2005},
19054  publisher     = {Philadelphia, PA: SIAM, c1993-}
19055}
19056
19057@Article{         nash2000mgopt,
19058  title         = {A multigrid approach to discretized optimization problems},
19059  author        = {Nash, S.G.},
19060  journal       = {Optimization Methods and Software},
19061  volume        = {14},
19062  number        = {1-2},
19063  pages         = {99--116},
19064  year          = {2000},
19065  publisher     = {Taylor \& Francis}
19066}
19067
19068@Article{         borzi2009multigrid,
19069  title         = {Multigrid Methods for {PDE} Optimization},
19070  author        = {Borz{\`i}, A. and Schulz, V.},
19071  journal       = {SIAM Review},
19072  volume        = {51},
19073  pages         = {361},
19074  year          = {2009}
19075}
19076
19077@Article{         borzi2005multigrid,
19078  title         = {A multigrid scheme for elliptic constrained optimal control problems},
19079  author        = {Borz{\`i}, A. and Kunisch, K.},
19080  journal       = {Computational Optimization and Applications},
19081  volume        = {31},
19082  number        = {3},
19083  pages         = {309--333},
19084  year          = {2005},
19085  publisher     = {Springer}
19086}
19087
19088@Article{         borzi2003multigrid,
19089  title         = {Multigrid methods for parabolic distributed optimal control problems},
19090  author        = {Borz{\`i}, A.},
19091  journal       = {Journal of Computational and Applied Mathematics},
19092  volume        = {157},
19093  number        = {2},
19094  pages         = {365--382},
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19096  publisher     = {Elsevier}
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19098
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19103  volume        = {8},
19104  number        = {1},
19105  pages         = {741--760},
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19107  publisher     = {Cambridge University Press}
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19109
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19134                  related problems},
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19157                  problems},
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19168                  regularization of nonlinear ill-posed problems},
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19186
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19188  title         = {Optimal order multilevel preconditioners for regularized ill-posed problems},
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19196
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19198  title         = {Additive and multiplicative multi-grid---a comparison},
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19212  journal       = {Applied Numerical Mathematics},
19213  volume        = {36},
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19223  journal       = {Parallel Processing for Scientific Computing, MA Heroux, P. Raghavan, and HD
19224                  Simon, eds},
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19237  volume        = {20},
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19243  title         = {Multigrid solvers and multilevel optimization strategies},
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19245  booktitle     = {Multilevel Optimization and VLSICAD},
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19302  year          = {2009}
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19328  publisher     = {JSTOR}
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19581  volume        = {32},
19582  pages         = {271},
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19588  author        = {Rees, T. and Stoll, M.},
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19590  volume        = {17},
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19594  publisher     = {Wiley Online Library}
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19598  title         = {Preconditioning Iterative Methods for the Optimal Control of the {S}tokes
19599                  Equations},
19600  author        = {Rees, T. and Wathen, A.J.},
19601  journal       = {SIAM Journal on Scientific Computing},
19602  volume        = {33},
19603  number        = {5},
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19605  year          = {2011},
19606  publisher     = {Society for Industrial and Applied Mathematics}
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19610  title         = {Flexible {BiCG} and flexible {Bi-CGSTAB} for nonsymmetric linear systems},
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19612  journal       = {Applied Mathematics and Computation},
19613  volume        = {188},
19614  number        = {1},
19615  pages         = {226–-233},
19616  year          = {2007},
19617  publisher     = {Elsevier}
19618}
19619
19620@Unpublished{     leehammond2010,
19621  author        = {B. Lee and G.E. Hammond},
19622  title         = {Parallel Performance of Preconditioned {Krylov} Solvers for the {Richards}
19623                  Equation},
19624  key           = {multigrid},
19625  note          = {manuscript, 2010}
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19627
19628@Article{         vandeneshop2004inexact,
19629  title         = {Inexact {Krylov} Subspace Methods for Linear Systems},
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19631  journal       = {SIAM Journal on Matrix Analysis and Applications},
19632  volume        = {26},
19633  number        = {1},
19634  pages         = {125--153},
19635  year          = {2004}
19636}
19637
19638@Article{         fbicg.fbcgs,
19639  title         = {Flexible {BiCG} and flexible {Bi-CGSTAB} for nonsymmetric linear systems},
19640  author        = {Judith A. Vogel},
19641  journal       = {Applied Mathematics and Computation},
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19644  pages         = {226--233},
19645  year          = {2007}
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19647
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19649  title         = {Theory of Inexact {Krylov} Subspace Methods and Applications to Scientific
19650                  Computing},
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19654  number        = {2},
19655  pages         = {454--477},
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19664  number        = {2},
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19683  journal       = {SIAM Journal on Scientific Computing},
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19712  title         = {{Conjugate Gradient} methods for indefinite systems},
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19715  volume        = {506},
19716  pages         = {73--89},
19717  year          = {1976}
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19719
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19721  title         = {{Bi-CGSTAB} as an induced dimension reduction method},
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19724  volume        = {60},
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19730  title         = {Exploiting {BiCGstab($\ell$)} strategies to induce dimension reduction},
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19801  issue_date    = {March 1998},
19802  publisher     = {Society for Industrial and Applied Mathematics},
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19881  pages         = {11--32}
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19956  number        = {1},
19957  pages         = {160-169},
19958  year          = {1986},
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19990  author        = {Wikipedia},
19991  title         = {Hasse Diagram},
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19997@Misc{            groupoid,
19998  author        = {Wikipedia},
19999  title         = {Groupoid},
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20005@Misc{            cwcomplex,
20006  author        = {Wikipedia},
20007  title         = {{CW} complex},
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20009  note          = {\url{http://en.wikipedia.org/wiki/CW_complex}},
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20013@Misc{            linearalgebra,
20014  author        = {Wikipedia},
20015  title         = {Linear Algebra},
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20018  year          = {2015}
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20021@Misc{            amdahlslaw,
20022  author        = {Wikipedia},
20023  title         = {Amdahl's Law},
20024  url           = {https://en.wikipedia.org/wiki/Amdahl's_law},
20025  note          = {\url{https://en.wikipedia.org/wiki/Amdahl's_law}},
20026  year          = {2015}
20027}
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20029@Misc{            gustafsonslaw,
20030  author        = {Wikipedia},
20031  title         = {Gustafson's Law},
20032  url           = {https://en.wikipedia.org/wiki/Gustafson's_law},
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20034  year          = {2015}
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20041  booktitle     = {Proceedings of the April 18-20, 1967, Spring Joint Computer Conference},
20042  series        = {AFIPS '67 (Spring)},
20043  location      = {Atlantic City, New Jersey},
20044  pages         = {483--485},
20045  numpages      = {3},
20046  doi           = {10.1145/1465482.1465560},
20047  acmid         = {1465560},
20048  publisher     = {ACM},
20049  address       = {New York, NY, USA},
20050  year          = {1967}
20051}
20052
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20056  journal       = {Communications of the ACM},
20057  volume        = {31},
20058  number        = {5},
20059  month         = may,
20060  issn          = {0001-0782},
20061  pages         = {532--533},
20062  doi           = {10.1145/42411.42415},
20063  acmid         = {42415},
20064  year          = {1988}
20065}
20066
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20068  title         = {Introduction to High Performance Scientific Computing},
20069  author        = {Victor Eijkhout},
20070  url           = {http://pages.tacc.utexas.edu/~eijkhout/Articles/EijkhoutIntroToHPC.pdf},
20071  publisher     = {TACC},
20072  year          = {2014}
20073}
20074
20075@Article{         korelc2002multilanguage,
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20077                  codes},
20078  author        = {Korelc, J.},
20079  journal       = {Engineering with Computers},
20080  volume        = {18},
20081  number        = {4},
20082  pages         = {312--327},
20083  year          = {2002},
20084  publisher     = {Springer}
20085}
20086
20087@TechReport{      taylor2011feap,
20088  title         = {{FEAP}: A Finite Element Analysis Program},
20089  subtitle      = {Version 8.3 User Manual},
20090  author        = {R. L. Taylor},
20091  year          = {2011},
20092  institution   = {University of California, Berkeley}
20093}
20094
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20099  volume        = {490},
20100  pages         = {2005},
20101  year          = {2005}
20102}
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20107                  Noise Injection},
20108  booktitle     = {Proceedings of the 2008 ACM/IEEE Conference on Supercomputing},
20109  series        = {SC '08},
20110  year          = {2008},
20111  isbn          = {978-1-4244-2835-9},
20112  location      = {Austin, Texas},
20113  pages         = {19:1--19:12},
20114  articleno     = {19},
20115  numpages      = {12},
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20117  acmid         = {1413390},
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20127  volume        = {3},
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20135                  Element Codes},
20136  journal       = {ACM Trans. Math. Softw.},
20137  issue_date    = {December 2011},
20138  volume        = {38},
20139  number        = {2},
20140  month         = jan,
20141  year          = {2012},
20142  issn          = {0098-3500},
20143  pages         = {14:1--14:28},
20144  articleno     = {14},
20145  numpages      = {28},
20146  doi           = {10.1145/2049673.2049678},
20147  acmid         = {2049678},
20148  publisher     = {ACM},
20149  address       = {New York, NY, USA},
20150  keywords      = {Adaptive mesh refinement, object-orientation, parallel algorithms, software
20151                  design}
20152}
20153
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20159  number        = {2},
20160  pages         = {393--422},
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20163}
20164
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20168  year          = {1998},
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20175                  Elimination for Problems with High Local Nonlinearity},
20176  journal       = {SIAM Journal on Scientific Computing},
20177  volume        = {33},
20178  number        = {2},
20179  pages         = {746-762},
20180  year          = {2011},
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20182}
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20198  number        = {2},
20199  pages         = {538--559},
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20201  publisher     = {SIAM}
20202}
20203
20204@TechReport{      gropp1993sowing,
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20206  author        = {Gropp, W},
20207  year          = {1995},
20208  number        = {ANL/MCS-TM-208},
20209  institution   = {Argonne National Laboratory}
20210}
20211
20212@TechReport{      gropp1993sowing2,
20213  title         = {Users Manual for doctext: Producing Documentation from Source Code},
20214  author        = {Gropp, W},
20215  year          = {1995},
20216  number        = {ANL/MCS-TM-206},
20217  institution   = {Argonne National Laboratory}
20218}
20219
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20224  number        = {ANL--93/8},
20225  institution   = {Argonne National Laboratory}
20226}
20227
20228@Misc{            simplifiedbsd,
20229  author        = {{University of California, Berkeley}},
20230  title         = {Simplified {Berkeley} Software Distribution License},
20231  note          = {see
20232                  \url{http://en.wikipedia.org/wiki/BSD_licenses#2-clause_license_.28.22Simplified_BSD_License.22_or_.22FreeBSD_License.22.29}}
20233}
20234
20235@Book{            chaconstraub14,
20236  author        = {Scott Chacon and Ben Straub},
20237  title         = {Pro Git},
20238  publisher     = {Apress},
20239  year          = {2014},
20240  pages         = {456},
20241  note          = {Available online at \url{http://git-scm.com/book/}}
20242}
20243
20244@Misc{            bitbucket,
20245  author        = {Atlassian},
20246  title         = {Bitbucket},
20247  note          = {Platform available from \url{http://bitbucket.org}}
20248}
20249
20250@Misc{            gitworkflows,
20251  author        = {GitWorkflows},
20252  note          = {Available at
20253                  \url{https://www.kernel.org/pub/software/scm/git/docs/gitworkflows.html}}
20254}
20255
20256@Misc{            figshare,
20257  author        = {FigShare},
20258  note          = {Available at \url{http://palgrave.figshare.com/}}
20259}
20260
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20262  title         = {{SWIG}: An easy to use tool for integrating scripting languages with {C} and
20263                  {C++}},
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20265  booktitle     = {Proceedings of the 4th USENIX Tcl/Tk workshop},
20266  pages         = {129--139},
20267  year          = {1996}
20268}
20269
20270@Misc{            softwareproductivityworkshopreport14,
20271  author        = {H. Johansen and L. C. McInnes and D. Bernholdt and J. Carver and M. Heroux and R.
20272                  Hornung and P. Jones and B. Lucas and A. Siegel and T. Ndousse-Fetter},
20273  title         = {Software Productivity for Extreme-Scale Science},
20274  note          = {Report on DOE Workshop, January 13-14, 2014},
20275  url           = {http://www.orau.gov/swproductivity2014/SoftwareProductivityWorkshopReport2014.pdf},
20276  year          = {2014}
20277}
20278
20279@Misc{            softwareproductivitywhitepaper13,
20280  author        = {H. Johansen and D. Bernholdt and B. Collins and M. Heroux and R. Jacob and P.
20281                  Jones and L. C. McInnes and J. D. Moulton and T. Ndousse-Fetter and D. Post and W.
20282                  Tang},
20283  title         = {Extreme-Scale Scientific Application Software Productivity: Harnessing the Full
20284                  Capability of Extreme-Scale Computing},
20285  note          = {whitepaper submitted to DOE, available via
20286                  \url{http://www.orau.gov/swproductivity2014/reference.htm}},
20287  year          = {2013}
20288}
20289
20290@Misc{            ideas:project,
20291  author        = {Michael Heroux and Lois Curfman McInnes and J. David {Moulton (PIs)}},
20292  title         = {{Interoperable Design of Extreme-Scale Application Software (IDEAS)}},
20293  howpublished  = {\url{http://ideas-productivity.org}},
20294  year          = {2015}
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20299                  and B. Sheehan},
20300  title         = {First Steps Toward a Multiphysics Exemplars and Benchmarks Suite},
20301  institution   = {Argonne National Laboratory},
20302  number        = {ANL/MCS-TM-330},
20303  month         = oct,
20304  year          = {2012}
20305}
20306
20307@Misc{            sawsfs-web-page,
20308  author        = {Surtai Han and Barry Smith and Hong Zhang},
20309  title         = {{{SAWs Tutorial: Fieldsplit Preconditioner}}},
20310  note          = {\url{https://www.youtube.com/watch?v=-w0fPhmZT3c}},
20311  year          = {2015}
20312}
20313
20314@Misc{            sawshk-web-page,
20315  author        = {Surtai Han and Barry Smith and Hong Zhang},
20316  title         = {{{SAWs Tutorial: Hierarchical Krylov Method}}},
20317  note          = {\url{https://www.youtube.com/watch?v=hWbqppTrcOw}},
20318  year          = {2015}
20319}
20320
20321@Misc{            sawsnestk-web-page,
20322  author        = {Surtai Han and Barry Smith and Hong Zhang},
20323  title         = {{{SAWs Tutorial: Nested Krylov Method}}},
20324  note          = {\url{https://www.youtube.com/watch?v=kqPXZxMOJmA}},
20325  year          = {2015}
20326}
20327
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20329  author        = {M. {Anitescu et al.}},
20330  title         = {{Multifaceted Mathematics for Complex Energy Systems (M2ACS) {W}eb page}},
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20332  year          = {2015}
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20337  title         = {Exposing and Expanding Compiler Technologies to Improve Software Productivity in
20338                  Developing Mathematical Libraries and Simulation Codes},
20339  note          = {whitepaper submitted to DOE Workshop on Software Productivity for Extreme-Scale
20340                  Science, available via \url{http://www.orau.gov/swproductivity2014/papers.htm}},
20341  year          = {2013}
20342}
20343
20344@Misc{            atpesc:website,
20345  key           = {{Argonne Training Program for Extreme-Scale Computing}},
20346  title         = {{Argonne Training Program for Extreme-Scale Computing (ATPESC)}},
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20348  year          = {2018}
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20354                  discretization of partial differential equations},
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20356  volume        = {339},
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20358  pages         = {667--672},
20359  year          = {2004},
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20363
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20389  volume        = {1},
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20395
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20401  year          = {2007}
20402}
20403
20404@Book{            deshpande14,
20405  title         = {Ultracapacitors: Future of Energy Storage},
20406  author        = {R. P. Deshpande},
20407  publisher     = {McGraw Hill Education},
20408  isbn          = {978-9339214050},
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20422  doi           = {10.1109/MEI.2010.5383924},
20423  issn          = {0883-7554}
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20428                  fail to acount for ion size},
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20430  journal       = {Microfluidics and Nanofluidics},
20431  volume        = {18},
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20433  pages         = {717--738},
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20444}
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20449                  highly-charged interfaces},
20450  journal       = {J. Phys. Chem. C},
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20452  pages         = {15575--15585},
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20459                  case study},
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20470  volume        = {94},
20471  number        = {3},
20472  pages         = {737--746},
20473  doi           = {10.1529/biophysj.107.112508},
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20481  journal       = {Nano Letters},
20482  volume        = {12},
20483  pages         = {1410--1416},
20484  year          = {2012}
20485}
20486
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20488  title         = {Modeling of rock friction: 1. Experimental results and constitutive equations},
20489  author        = {James H. Dieterich},
20490  journal       = {Journal of Geophysical Research: Solid Earth},
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20492  number        = {B5},
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20494  year          = {1979},
20495  publisher     = {Wiley Online Library}
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20499  title         = {Selective transport through a model calcium channel studied by Local Equilibrium
20500                  Monte Carlo simulations coupled to the Nernst--Planck equation},
20501  author        = {Dezs{\H{o}} Boda and R{\'o}bert Kov{\'a}cs and Dirk Gillespie and Tam{\'a}s
20502                  Krist{\'o}f},
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20507  publisher     = {Elsevier}
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20511  title         = {Multiscale solvers and systematic upscaling in computational physics},
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20520
20521@Article{         rosenfeld89,
20522  title         = {Free-energy model for the inhomogeneous hard-sphere fluid mixture and
20523                  density-functional theory of freezing},
20524  author        = {Yaakov Rosenfeld},
20525  journal       = {Physical review letters},
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20527  number        = {9},
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20530  publisher     = {APS}
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20533@Article{         schindlermitchellmccabecummingslevan13,
20534  title         = {Adsorption of Chain Molecules in Slit-Shaped Pores: Development of a SAFT-FMT-DFT
20535                  Approach},
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20537                  M Douglas LeVan},
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20542  year          = {2013},
20543  publisher     = {ACS Publications}
20544}
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20551}
20552
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20554  author        = {Shijie Zhong and David A. Yuen and Louis N. Moresi and Matthew G. Knepley},
20555  title         = {Numerical Methods for Mantle Convection},
20556  booktitle     = {Treatise on Geophysics},
20557  publisher     = {Elsevier},
20558  volume        = {7},
20559  editor        = {Gerald Schubert},
20560  edition       = {second},
20561  year          = {2015}
20562}
20563
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20565  author        = {Lewis Fry Richardson},
20566  title         = {The approximate arithmetical solution by finite differences of physical problems
20567                  including differential equations, with an application to the stresses in a masonry
20568                  dam},
20569  journal       = {Philosophical Transactions of the Royal Society A},
20570  volume        = {210},
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20573  doi           = {10.1098/rsta.1911.0009},
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20575}
20576
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20578  author        = {John G. Kirkwood},
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20580                  Application to Zwitterions},
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20587@TechReport{      schoof1994exodus,
20588  title         = {{EXODUS II}: a finite element data model},
20589  author        = {Larry A Schoof and Victor R Yarberry},
20590  institution   = {Sandia National Laboratories},
20591  number        = {SAND92-2137},
20592  address       = {Albuquerque, NM},
20593  year          = {1994}
20594}
20595
20596@Misc{            poirier1998cgns,
20597  author        = {Diane Poirier and Steven R Allmaras and Douglas R McCarthy and Matthew F Smith
20598                  and Fancis Y Enomoto},
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20601  year          = {1998}
20602}
20603
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20605  title         = {Towards curvilinear meshing in 3D: the case of quadratic simplices},
20606  author        = {Saikat Dey and Robert M O'Bara and Mark S Shephard},
20607  journal       = {Computer-Aided Design},
20608  volume        = {33},
20609  number        = {3},
20610  pages         = {199--209},
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20612}
20613
20614@InProceedings{   gomezhaimesgalbraith2022,
20615  title         = {On Analysis Driven Shape Design Using B-Splines},
20616  author        = {Marlena Gomez and Robert Haimes and Marshall C Galbraith},
20617  booktitle     = {AIAA SciTech 2022 Forum},
20618  pages         = {1736},
20619  year          = {2022}
20620}
20621
20622@InProceedings{   cloughoberaizakrajsek2019,
20623  title         = {Automated Wing Internal Structure Placement Guided by Finite Element Analysis},
20624  author        = {Justin L Clough and Assad A Oberai and Andrew J Zakrajsek},
20625  booktitle     = {AIAA Aviation 2019 Forum},
20626  pages         = {3369},
20627  year          = {2019}
20628}
20629
20630@InProceedings{   joegandhidannenhofferdalir2019,
20631  title         = {Rapid generation of parametric aircraft structural models},
20632  author        = {John Joe and Viraj Gandhi and John Dannenhoffer and Hamid Dalir},
20633  booktitle     = {AIAA SciTech 2019 Forum},
20634  pages         = {2229},
20635  year          = {2019}
20636}
20637
20638@InProceedings{   haimesdannenhoffer2013,
20639  title         = {The engineering sketch pad: A solid-modeling, feature-based, web-enabled system for building parametric geometry},
20640  author        = {Robert Haimes and John Dannenhoffer},
20641  booktitle     = {21st AIAA Computational Fluid Dynamics Conference},
20642  pages         = {3073},
20643  year          = {2013}
20644}
20645
20646@Article{         geuzaine2009gmsh,
20647  title         = {Gmsh: A 3-D finite element mesh generator with built-in pre-and post-processing
20648                  facilities},
20649  author        = {Christophe Geuzaine and Jean-Fran{\c{c}}ois Remacle},
20650  journal       = {International Journal for Numerical Methods in Engineering},
20651  volume        = {79},
20652  number        = {11},
20653  pages         = {1309--1331},
20654  year          = {2009},
20655  publisher     = {Wiley Online Library}
20656}
20657
20658@Article{         si2015,
20659  title         = {{TetGen}, a {Delaunay}-Based Quality Tetrahedral Mesh Generator},
20660  author        = {Hang Si},
20661  journal       = {ACM Trans. on Mathematical Software},
20662  volume        = {41},
20663  number        = {2},
20664  month         = feb,
20665  doi           = {10.1145/2629697},
20666  year          = {2015}
20667}
20668
20669@TechReport{      blackerbohnhoffedwards1994,
20670  title         = {CUBIT mesh generation environment. Volume 1: Users manual},
20671  author        = {Ted D Blacker and William J Bohnhoff and Tony L Edwards},
20672  institution   = {Sandia National Labs., Albuquerque, NM (United States)},
20673  year          = {1994}
20674}
20675
20676@Article{         bjorck1994,
20677  title         = {Numerics of Gram-Schmidt orthogonalization},
20678  author        = {{\AA}ke Bj{\"o}rck},
20679  journal       = {Linear Algebra and Its Applications},
20680  volume        = {197},
20681  pages         = {297--316},
20682  year          = {1994},
20683  publisher     = {Elsevier}
20684}
20685
20686@PhDThesis{       yood05,
20687  author        = {Charles Nelson Yood},
20688  title         = {Argonne National Laboratory and the Emergence of Computer and Computational
20689                  Science, 1946--1992},
20690  school        = {The Pennsylvania State University},
20691  month         = aug,
20692  year          = {2005}
20693}
20694
20695@Article{         fearnleysander79,
20696  title         = {Hermann Grassmann and the Creation of Linear Algebra},
20697  author        = {Desmond Fearnley-Sander},
20698  journal       = {The American Mathematical Monthly},
20699  volume        = {86},
20700  pages         = {809--817},
20701  url           = {http://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/DesmondFearnleySander.pdf},
20702  year          = {1979}
20703}
20704
20705@InCollection{    knepley2012,
20706  author        = {Matthew G. Knepley},
20707  title         = {Programming Languages for Scientific Computing},
20708  booktitle     = {Encyclopedia of Applied and Computational Mathematics},
20709  publisher     = {Springer},
20710  year          = {2012},
20711  editor        = {Bj\"orn Engquist},
20712  doi           = {10.1007/978-3-540-70529-1},
20713  url           = {http://arxiv.org/abs/1209.1711}
20714}
20715
20716@InBook{          knepley2015,
20717  title         = {Programming Languages for Scientific Computing},
20718  author        = {Matthew G. Knepley},
20719  booktitle     = {Encyclopedia of Applied and Computational Mathematics},
20720  editor        = {Bj{\"o}rn Engquist},
20721  publisher     = {Springer Berlin Heidelberg},
20722  address       = {Berlin, Heidelberg},
20723  pages         = {1173--1181},
20724  isbn          = {978-3-540-70529-1},
20725  doi           = {10.1007/978-3-540-70529-1_250},
20726  year          = {2015}
20727}
20728
20729@Book{            hughes2000,
20730  author        = {Thomas J. R. Hughes},
20731  title         = {The Finite Element Method: Linear Static and Dynamic Finite Element Analysis},
20732  series        = {Dover Civil and Mechanical Engineering},
20733  pages         = {704},
20734  year          = {2000},
20735  isbn          = {978-0486411811},
20736  publisher     = {Dover}
20737}
20738
20739@Article{         roache2002,
20740  title         = {Code verification by the method of manufactured solutions},
20741  author        = {Patrick J. Roache},
20742  journal       = {Journal of Fluids Engineering},
20743  volume        = {124},
20744  number        = {1},
20745  pages         = {4--10},
20746  year          = {2002},
20747  publisher     = {American Society of Mechanical Engineers}
20748}
20749
20750@InCollection{    rokosgorman13,
20751  title         = {PRAgMaTIc - Parallel Anisotropic Adaptive Mesh Toolkit},
20752  author        = {Georgios Rokos and Gerard Gorman},
20753  booktitle     = {Facing the Multicore-Challenge III},
20754  series        = {Lecture Notes in Computer Science},
20755  editor        = {Keller, Rainer and Kramer, David and Weiss, Jan-Philipp},
20756  publisher     = {Springer Berlin Heidelberg},
20757  volume        = {7686},
20758  pages         = {143-144},
20759  doi           = {10.1007/978-3-642-35893-7_22},
20760  isbn          = {978-3-642-35892-0},
20761  year          = {2013}
20762}
20763
20764@Misc{            hdf5:homepage,
20765  author        = {{The HDF Group}},
20766  title         = {The {HDF5} Homepage},
20767  howpublished  = {\url{https://www.hdfgroup.org/HDF5/}},
20768  year          = {2015}
20769}
20770
20771@Misc{            paraview:homepage,
20772  author        = {Kitware},
20773  title         = {The {ParaView} Homepage},
20774  howpublished  = {\url{http://www.paraview.org/}},
20775  year          = {2015}
20776}
20777
20778@Misc{            xdmf:homepage,
20779  author        = {Kitware},
20780  title         = {The Extensible Data Model and Format ({XDMF})},
20781  howpublished  = {\url{http://www.xdmf.org/}},
20782  year          = {2015}
20783}
20784
20785@Article{         cullerkarp1993,
20786  title         = {LogP: Towards a realistic model of parallel computation},
20787  author        = {David Culler and Richard Karp and David Patterson and Abhijit Sahay and Klaus
20788                  Erik Schauser and Eunice Santos and Ramesh Subramonian and Thorsten Von Eicken},
20789  journal       = {SIGPLAN Notices},
20790  volume        = {28},
20791  number        = {7},
20792  pages         = {1--12},
20793  year          = {1993},
20794  publisher     = {ACM}
20795}
20796
20797@Article{         aggarwalvitter1988,
20798  title         = {The input/output complexity of sorting and related problems},
20799  author        = {Alok Aggarwal and Jeffrey Vitter},
20800  journal       = {Communications of the ACM},
20801  volume        = {31},
20802  number        = {9},
20803  pages         = {1116--1127},
20804  year          = {1988},
20805  publisher     = {ACM}
20806}
20807
20808@InProceedings{   czechowskibattaglinomcclanahanchandramowlishwaranvuduc2011,
20809  author        = {Kenneth Czechowski and Casey Battaglino and Chris McClanahan and Aparna
20810                  Chandramowlishwaran and Richard Vuduc},
20811  title         = {Balance principles for algorithm-architecture co-design},
20812  booktitle     = {Proc.~USENIX Wkshp. Hot Topics in Parallelism (HotPar)},
20813  month         = may,
20814  address       = {Berkeley, CA, USA},
20815  url           = {http://www.usenix.org/events/hotpar11/tech/final_files/Czechowski.pdf},
20816  year          = {2011}
20817}
20818
20819@Article{         williamswatermanpatterson2009,
20820  title         = {Roofline: an insightful visual performance model for multicore architectures},
20821  author        = {Samuel Williams and Andrew Waterman and David Patterson},
20822  journal       = {Communications of the ACM},
20823  volume        = {52},
20824  number        = {4},
20825  pages         = {65--76},
20826  year          = {2009},
20827  publisher     = {ACM}
20828}
20829
20830@Misc{            roofline-web-page,
20831  author        = {Samuel Williams and {et. al.}},
20832  title         = {{R}oofline {P}erformance {M}odel},
20833  key           = {Roofline},
20834  url           = {http://crd.lbl.gov/departments/computer-science/performance-and-algorithms-research/research/roofline/},
20835  howpublished  = {\url{http://crd.lbl.gov/departments/computer-science/performance-and-algorithms-research/research/roofline/}}
20836}
20837
20838@Misc{            roofline-talk2008,
20839  author        = {Samuel Williams and David Patterson},
20840  title         = {{R}oofline {P}erformance {M}odel},
20841  key           = {Roofline},
20842  year          = {2008},
20843  note          = {ParLab Summer Retreat},
20844  url           = {http://crd.lbl.gov/assets/pubs_presos/parlab08-roofline-talk.pdf},
20845  howpublished  = {\url{http://crd.lbl.gov/assets/pubs_presos/parlab08-roofline-talk.pdf}}
20846}
20847
20848@Article{         lee2006,
20849  title         = {The problem with threads},
20850  author        = {Edward A Lee},
20851  journal       = {Computer},
20852  volume        = {39},
20853  number        = {5},
20854  pages         = {33--42},
20855  year          = {2006},
20856  url           = {http://ptolemy.eecs.berkeley.edu/publications/papers/06/problemwithThreads/},
20857  publisher     = {IEEE Computer Society Press}
20858}
20859
20860@Article{         hoefler2012,
20861  title         = {{Optimization principles for collective neighborhood communications}},
20862  author        = {Torsten Hoefler and Timo Schneider},
20863  journal       = {International Conference for High Performance Computing, Networking, Storage and
20864                  Analysis, SC},
20865  doi           = {10.1109/SC.2012.86},
20866  isbn          = {9781467308069},
20867  issn          = {21674329},
20868  year          = {2012}
20869}
20870
20871@Book{            grahamknuthpatashnik1989,
20872  title         = {Concrete Mathematics},
20873  author        = {Ronald L Graham and Donald E Knuth and Oren Patashnik},
20874  publisher     = {Addison-Wesley},
20875  year          = {1989}
20876}
20877
20878@Book{            jackson1962,
20879  title         = {Classical Electrodynamics},
20880  author        = {John David Jackson},
20881  publisher     = {John Wiley \& Sons},
20882  year          = {1962}
20883}
20884
20885@Article{         leveque2013,
20886  title         = {Top Ten Reasons to Not Share Your Code (and why you should anyway)},
20887  author        = {Randall J. LeVeque},
20888  journal       = {SIAM News},
20889  volume        = {46},
20890  number        = {3},
20891  month         = apr,
20892  url           = {http://faculty.washington.edu/rjl/pubs/topten/},
20893  year          = {2013}
20894}
20895
20896@InProceedings{   wang2014,
20897  title         = {Fjos: Practical, predictable, and efficient system support for fork/join
20898                  parallelism},
20899  author        = {Qi Wang and Gabriel Parmer},
20900  booktitle     = {Real-Time and Embedded Technology and Applications Symposium (RTAS), 2014 IEEE
20901                  20th},
20902  pages         = {25--36},
20903  year          = {2014},
20904  organization  = {IEEE}
20905}
20906
20907@Article{         fangsaad2009,
20908  author        = {Haw-ren Fang and Yousef Saad},
20909  title         = {Two classes of multisecant methods for nonlinear acceleration},
20910  journal       = {Numerical Linear Algebra with Applications},
20911  volume        = {16},
20912  number        = {3},
20913  pages         = {197--221},
20914  year          = {2009},
20915  doi           = {10.1002/nla.617}
20916}
20917
20918@Misc{            hpcchallenge,
20919  title         = {HPC Challenge},
20920  author        = {Jack Dongarra and Piotr Luszczek and others},
20921  url           = {http://icl.cs.utk.edu/hpcc/hpcc_results_lat_band.cgi?display=opt},
20922  year          = {2015}
20923}
20924
20925@InProceedings{   hoeflerschneiderlumsdaine2008,
20926  title         = {Accurately measuring collective operations at massive scale},
20927  author        = {Torsten Hoefler and Timo Schneider and Andrew Lumsdaine},
20928  booktitle     = {Proceedings of the 22nd IEEE International Symposium on Parallel and Distributed
20929                  Processing (IPDPS)},
20930  pages         = {1--8},
20931  year          = {2008},
20932  doi           = {10.1109/IPDPS.2008.4536494},
20933  organization  = {IEEE}
20934}
20935
20936@Book{            potraptak1984,
20937  title         = {Nondiscrete Induction and Iterative Processes},
20938  author        = {Florian A. Potra and Vlastimil Pt{\'a}k},
20939  series        = {Research Notes in Mathematics},
20940  year          = {1984},
20941  publisher     = {Pitman}
20942}
20943
20944@Book{            pilz1977,
20945  title         = {Near-rings: the theory and its applications},
20946  author        = {G{\"u}nter Pilz},
20947  year          = {1977},
20948  publisher     = {New York}
20949}
20950
20951@Article{         birkenjameson2009,
20952  title         = {{On nonlinear preconditioners in {N}ewton-{K}rylov methods for unsteady flows}},
20953  author        = {Philipp Birken and Antony Jameson},
20954  journal       = {International Journal for Numerical Methods in Fluids},
20955  volume        = {62},
20956  number        = {5},
20957  pages         = {565--573},
20958  publisher     = {John Wiley \& Sons, Ltd.},
20959  doi           = {10.1002/fld.2030},
20960  issn          = {1097-0363},
20961  year          = {2010}
20962}
20963
20964@Article{         anderson1965,
20965  title         = {Iterative procedures for nonlinear integral equations},
20966  author        = {Donald G Anderson},
20967  journal       = {Journal of the ACM (JACM)},
20968  volume        = {12},
20969  number        = {4},
20970  pages         = {547--560},
20971  year          = {1965},
20972  publisher     = {ACM}
20973}
20974
20975@Article{         ptak1966,
20976  title         = {Some metric aspects of the open mapping and closed graph theorems},
20977  author        = {Vlastimil Pt{\'a}k},
20978  journal       = {Mathematische Annalen},
20979  volume        = {163},
20980  number        = {2},
20981  pages         = {95--104},
20982  year          = {1966},
20983  publisher     = {Springer}
20984}
20985
20986@Article{         ptak1974,
20987  title         = {A quantitative refinement of the closed graph theorem},
20988  author        = {Vlastimil Pt{\'a}k},
20989  journal       = {Czechoslovak Mathematical Journal},
20990  volume        = {24},
20991  number        = {3},
20992  pages         = {503--506},
20993  year          = {1974},
20994  publisher     = {Institute of Mathematics, Academy of Sciences of the Czech Republic}
20995}
20996
20997@Article{         ptak1975,
20998  title         = {The rate of convergence of {Newton's} process},
20999  author        = {Vlastimil Pt{\'a}k},
21000  journal       = {Numerische Mathematik},
21001  volume        = {25},
21002  number        = {3},
21003  pages         = {279--285},
21004  year          = {1975},
21005  publisher     = {Springer}
21006}
21007
21008@Article{         ptak1976,
21009  title         = {Nondiscrete mathematical induction and iterative existence proofs},
21010  author        = {Vlastimil Pt{\'a}k},
21011  journal       = {Linear algebra and its applications},
21012  volume        = {13},
21013  number        = {3},
21014  pages         = {223--238},
21015  year          = {1976},
21016  publisher     = {Elsevier}
21017}
21018
21019@Article{         ptak1977,
21020  title         = {What should be a rate of convergence?},
21021  author        = {Vlastimil Pt{\'a}k},
21022  journal       = {RAIRO-Analyse num{\'e}rique},
21023  volume        = {11},
21024  number        = {3},
21025  pages         = {279--286},
21026  year          = {1977}
21027}
21028
21029@Article{         potraptak1980,
21030  title         = {Sharp error bounds for {Newton's} process},
21031  author        = {Florian A Potra and Vlastimil Pt{\'a}k},
21032  journal       = {Numerische Mathematik},
21033  volume        = {34},
21034  number        = {1},
21035  pages         = {63--72},
21036  year          = {1980},
21037  publisher     = {Springer}
21038}
21039
21040@Article{         liesen2014,
21041  title         = {Pt\'ak's nondiscrete induction and its application to matrix iterations},
21042  author        = {J{\"o}rg Liesen},
21043  journal       = {IMA Journal of Numerical Analysis},
21044  doi           = {10.1093/imanum/drv037},
21045  archiveprefix = {arXiv},
21046  eprint        = {1405.2683},
21047  primaryclass  = {math-na},
21048  year          = {2015}
21049}
21050
21051@Book{            traub1964,
21052  title         = {Iterative Methods for the Solution of Equations},
21053  author        = {Joseph F Traub},
21054  year          = {1964},
21055  publisher     = {Prentice-Hall, Englewood Cliffs, NJ}
21056}
21057
21058@InProceedings{   shalfvecpar2010,
21059  title         = {Exascale Computing Technology Challenges},
21060  author        = {John Shalf and Sudip Dosanjh and John Morrison},
21061  booktitle     = {J.M.L.M. Palma et al. (Eds.): VECPAR 2010, LNCS 6449},
21062  pages         = {1–-25},
21063  year          = {2010}
21064}
21065
21066@Article{         frechet1907,
21067  title         = {Sur les ensembles de fonctions et les op\'erations lin\'eaires},
21068  author        = {Maurice Ren\'e Fr\'echet},
21069  journal       = {C. R. Acad. Sci. Paris},
21070  volume        = {144},
21071  pages         = {1414--1416},
21072  year          = {1907}
21073}
21074
21075@Article{         riesz1907,
21076  title         = {Sur une esp\'ece de g\'eom\'etrie analytique des syst\'emes de fonctions sommables},
21077  author        = {Frigyes Riesz},
21078  journal       = {C. R. Acad. Sci. Paris},
21079  volume        = {144},
21080  pages         = {1409--1411},
21081  year          = {1907}
21082}
21083
21084@Article{         riesz1909,
21085  title         = {Sur les op\'erations fonctionnelles lin\'eaires},
21086  author        = {Frigyes Riesz},
21087  journal       = {C. R. Acad. Sci. Paris},
21088  volume        = {149},
21089  pages         = {974--977},
21090  year          = {1909}
21091}
21092
21093@Misc{            rieszmarkovkakutanirepresentationtheorem,
21094  author        = {Wikipedia},
21095  title         = {Riesz-Markov-Kakutani Representation Theorem},
21096  url           = {http://en.wikipedia.org/wiki/Riesz-Markov-Kakutani_representation_theorem},
21097  note          = {\url{http://en.wikipedia.org/wiki/Riesz-Markov-Kakutani_representation_theorem}},
21098  year          = {2015}
21099}
21100
21101@Article{         markov1938,
21102  title         = {On mean values and exterior densities},
21103  author        = {Andrey Markov},
21104  journal       = {Rec. Math. Moscou},
21105  volume        = {4},
21106  pages         = {165--190},
21107  year          = {1938}
21108}
21109
21110@Article{         kakutani1941,
21111  title         = {Concrete representation of abstract {(M)}-spaces. (A characterization of the
21112                  space of continuous functions.)},
21113  author        = {Shizuo Kakutani},
21114  journal       = {Ann. of Math.},
21115  volume        = {2},
21116  number        = {42},
21117  pages         = {994--1024},
21118  doi           = {10.2307/1968778},
21119  year          = {1941}
21120}
21121
21122@Article{         michoskimeyersonisaacwaelbroeck2014,
21123  title         = {Discontinuous Galerkin methods for plasma physics in the scrape-off layer of
21124                  tokamaks},
21125  author        = {Craig Michoski and D. Meyerson and Tobin Isaac and F. Waelbroeck},
21126  journal       = {Journal of Computational Physics},
21127  volume        = {274},
21128  pages         = {898--919},
21129  year          = {2014},
21130  publisher     = {Elsevier}
21131}
21132
21133@InProceedings{   bursteddeghattasgurnisisaacstadlerwarburtonwilcox2010,
21134  title         = {Extreme-scale AMR},
21135  author        = {Carsten Burstedde and Omar Ghattas and Michael Gurnis and Tobin Isaac and Georg
21136                  Stadler and Tim Warburton and Lucas Wilcox},
21137  booktitle     = {Proceedings of the 2010 ACM/IEEE International Conference for High Performance
21138                  Computing, Networking, Storage and Analysis},
21139  pages         = {1--12},
21140  year          = {2010},
21141  organization  = {IEEE Computer Society},
21142  doi           = {10.1109/SC.2010.25}
21143}
21144
21145@InProceedings{   isaacbursteddeghattas2012,
21146  title         = {Low-cost parallel algorithms for 2: 1 octree balance},
21147  author        = {Tobin Isaac and Carsten Burstedde and Omar Ghattas},
21148  booktitle     = {Parallel \& Distributed Processing Symposium (IPDPS), 2012 IEEE 26th
21149                  International},
21150  pages         = {426--437},
21151  year          = {2012},
21152  organization  = {IEEE},
21153  doi           = {10.1109/IPDPS.2012.47}
21154}
21155
21156@Article{         isaacpetrastadlerghattas2015,
21157  title         = {Scalable and efficient algorithms for the propagation of uncertainty from data
21158                  through inference to prediction for large-scale problems, with application to flow
21159                  of the {Antarctic} ice sheet},
21160  author        = {Tobin Isaac and Noemi Petra and Georg Stadler and Omar Ghattas},
21161  journal       = {Journal of Computational Physics},
21162  volume        = {296},
21163  pages         = {348--368},
21164  year          = {2015},
21165  publisher     = {Elsevier},
21166  doi           = {10.1016/j.jcp.2015.04.047}
21167}
21168
21169@Article{         isaacbursteddewilcoxghattas2015,
21170  title         = {Recursive Algorithms for Distributed Forests of Octrees},
21171  author        = {Tobin Isaac and Carsten Burstedde and Lucas C Wilcox and Omar Ghattas},
21172  journal       = {SIAM Journal on Scientific Computing},
21173  volume        = {37},
21174  number        = {5},
21175  pages         = {C497-C531},
21176  eprint        = {1406.0089},
21177  eprinttype    = {arXiv},
21178  year          = {2015},
21179  doi           = {10.1137/140970963}
21180}
21181
21182@Article{         isaacstadlerghattas2015,
21183  title         = {Solution of nonlinear {S}tokes equations discretized by high-order finite
21184                  elements on nonconforming and anisotropic meshes, with application to ice sheet
21185                  dynamics},
21186  author        = {Isaac, Tobin and Stadler, Georg and Ghattas, Omar},
21187  journal       = {SIAM Journal on Scientific Computing},
21188  number        = {6},
21189  pages         = {804--833},
21190  volume        = {37},
21191  year          = {2015},
21192  doi           = {10.1137/140974407}
21193}
21194
21195@InProceedings{   rudimalossiisaacstadlergurnisstaarineichenbekascurionighattas2015,
21196  title         = {An extreme-scale implicit solver for complex {PDEs}: highly heterogeneous flow in
21197                  earth's mantle},
21198  author        = {Johann Rudi and A Cristiano I Malossi and Tobin Isaac and Georg Stadler and
21199                  Michael Gurnis and Peter WJ Staar and Yves Ineichen and Costas Bekas and
21200                  Alessandro Curioni and Omar Ghattas},
21201  booktitle     = {Proceedings of the International Conference for High Performance Computing,
21202                  Networking, Storage and Analysis},
21203  pages         = {5},
21204  year          = {2015},
21205  organization  = {ACM},
21206  doi           = {10.1145/2807591.2807675}
21207}
21208
21209@Article{         bunchhopcroft1974,
21210  title         = {Triangular factorization and inversion by fast matrix multiplication},
21211  author        = {James R Bunch and John E Hopcroft},
21212  journal       = {Mathematics of Computation},
21213  volume        = {28},
21214  number        = {125},
21215  pages         = {231--236},
21216  doi           = {10.2307/2005828},
21217  year          = {1974}
21218}
21219
21220@Article{         nemirovsky1991,
21221  title         = {On optimality of Krylov's information when solving linear operator equations},
21222  author        = {A.S Nemirovsky},
21223  journal       = {Journal of Complexity},
21224  volume        = {7},
21225  number        = {2},
21226  pages         = {121--130},
21227  doi           = {10.1016/0885-064X(91)90001-E},
21228  year          = {1991}
21229}
21230
21231@Misc{siamcseprize,
21232  author = {{PETSc Team}},
21233  title  = {{SIAM/ACM} {P}rize in {C}omputational {S}cience and {E}ngineering},
21234  key            = {{SIAM/ACM} {P}rize in {C}omputational {S}cience and {E}ngineering},
21235  url            = {https://www.siam.org/prizes/sponsored/cse.php},
21236  year   = {2015}
21237}
21238
21239@Article{         rathgeber2017,
21240  title         = {Firedrake: automating the finite element method by composing abstractions},
21241  author        = {Rathgeber, Florian and Ham, David A and Mitchell, Lawrence and Lange, Michael and
21242                  Luporini, Fabio and McRae, Andrew TT and Bercea, Gheorghe-Teodor and Markall,
21243                  Graham R and Kelly, Paul HJ},
21244  archiveprefix = {arXiv},
21245  journal       = {ACM Transaction on Mathematical Software},
21246  eprint        = {1501.01809},
21247  volume        = {43},
21248  issue         = {3},
21249  number        = {24},
21250  year          = {2017},
21251  url           = {http://arxiv.org/abs/1501.01809}
21252}
21253
21254@Article{         kirby2006b,
21255  title         = {Topological optimization of the evaluation of finite element matrices},
21256  author        = {Robert C Kirby and Anders Logg and L Ridgway Scott and Andy R. Terrel},
21257  journal       = {SIAM Journal on Scientific Computing},
21258  volume        = {28},
21259  number        = {1},
21260  pages         = {224--240},
21261  year          = {2006},
21262  publisher     = {SIAM}
21263}
21264
21265@Article{         luporini2015,
21266  author        = {Luporini, Fabio and Varbanescu, Ana Lucia and Rathgeber, Florian and Bercea,
21267                  Gheorghe-Teodor and Ramanujam, J. and Ham, David A. and Kelly, Paul H. J.},
21268  title         = {Cross-Loop Optimization of Arithmetic Intensity for Finite Element Local
21269                  Assembly},
21270  journal       = {ACM Trans. Archit. Code Optim.},
21271  issue_date    = {January 2015},
21272  volume        = {11},
21273  number        = {4},
21274  month         = jan,
21275  year          = {2015},
21276  issn          = {1544-3566},
21277  pages         = {57:1--57:25},
21278  articleno     = {57},
21279  numpages      = {25},
21280  doi           = {10.1145/2687415},
21281  acmid         = {2687415},
21282  publisher     = {ACM},
21283  address       = {New York, NY, USA},
21284  keywords      = {Finite element integration, SIMD vectorization, compilers, local assembly,
21285                  optimizations}
21286}
21287
21288@Article{         markall2012,
21289  title         = {Finite element assembly strategies on multi- and many-core architectures},
21290  author        = {Markall, G. R. and Slemmer, A. and Ham, D. A. and Kelly, P. H. J. and Cantwell,
21291                  C. D. and Sherwin, S. J.},
21292  journal       = {International Journal for Numerical Methods in Fluids},
21293  year          = {2013},
21294  volume        = {71},
21295  pages         = {80--97},
21296  doi           = {10.1002/fld.3648}
21297}
21298
21299@Article{         markall2010,
21300  title         = {Towards generating optimised finite element solvers for GPUs from high-level
21301                  specifications},
21302  author        = {Graham R. Markall and David A. Ham and Paul H. J. Kelly},
21303  journal       = {Procedia Computer Science},
21304  volume        = {1},
21305  number        = {1},
21306  pages         = {1815--1823},
21307  year          = {2010},
21308  note          = {{ICCS} 2010},
21309  doi           = {10.1016/j.procs.2010.04.203}
21310}
21311
21312@Article{         longkirbywaanders2010,
21313  title         = {Unified embedded parallel finite element computations via software-based
21314                  Fr{\'e}chet differentiation},
21315  author        = {Kevin Long and Robert Kirby and Bart van Bloemen Waanders},
21316  journal       = {SIAM Journal on Scientific Computing},
21317  volume        = {32},
21318  number        = {6},
21319  pages         = {3323--3351},
21320  year          = {2010},
21321  publisher     = {SIAM}
21322}
21323
21324@Article{         kirby2010,
21325  title         = {From functional analysis to iterative methods},
21326  author        = {Robert C Kirby},
21327  journal       = {SIAM review},
21328  volume        = {52},
21329  number        = {2},
21330  pages         = {269--293},
21331  year          = {2010},
21332  publisher     = {SIAM}
21333}
21334
21335@Article{         kirby2014,
21336  title         = {Low-Complexity Finite Element Algorithms for the de Rham Complex on Simplices},
21337  author        = {Robert C Kirby},
21338  journal       = {SIAM Journal on Scientific Computing},
21339  volume        = {36},
21340  number        = {2},
21341  pages         = {A846--A868},
21342  year          = {2014},
21343  publisher     = {SIAM}
21344}
21345
21346@Article{         kirby2011,
21347  title         = {Fast simplicial finite element algorithms using Bernstein polynomials},
21348  author        = {Robert C Kirby},
21349  journal       = {Numerische Mathematik},
21350  volume        = {117},
21351  number        = {4},
21352  pages         = {631--652},
21353  year          = {2011},
21354  publisher     = {Springer}
21355}
21356
21357@Article{         arnoldfalkwinther2006,
21358  title         = {Finite element exterior calculus, homological techniques, and applications},
21359  author        = {Arnold, Douglas N and Falk, Richard S and Winther, Ragnar},
21360  journal       = {Acta numerica},
21361  volume        = {15},
21362  pages         = {1--155},
21363  year          = {2006},
21364  publisher     = {Cambridge Univ Press}
21365}
21366
21367@Article{         arnoldlogg2014,
21368  title         = {Periodic table of the finite elements},
21369  author        = {Douglas Arnold and Anders Logg},
21370  month         = nov,
21371  journal       = {SIAM News},
21372  year          = {2014}
21373}
21374
21375@Article{         janssonhoffmanjansson2012,
21376  title         = {Framework for massively parallel adaptive finite element computational fluid
21377                  dynamics on tetrahedral meshes},
21378  author        = {Jansson, Niclas and Hoffman, Johan and Jansson, Johan},
21379  journal       = {SIAM Journal on Scientific Computing},
21380  volume        = {34},
21381  number        = {1},
21382  pages         = {C24--C41},
21383  year          = {2012},
21384  publisher     = {SIAM}
21385}
21386
21387@Article{         rogneshamcottermcrae2013,
21388  title         = {Automating the solution of PDEs on the sphere and other manifolds in FEniCS 1.2},
21389  author        = {Rognes, Marie E and Ham, David A and Cotter, Colin J and McRae, Andrew TT},
21390  journal       = {Geoscientific Model Development},
21391  volume        = {6},
21392  number        = {6},
21393  pages         = {2099--2119},
21394  year          = {2013},
21395  publisher     = {Copernicus GmbH}
21396}
21397
21398@Book{            loggmardalwells2012,
21399  title         = {Automated solution of differential equations by the finite element method: The
21400                  {FEniCS} book},
21401  author        = {Logg, Anders and Mardal, Kent-Andre and Wells, Garth},
21402  volume        = {84},
21403  year          = {2012},
21404  publisher     = {Springer Science \& Business Media}
21405}
21406
21407@Article{         cotterkirby2014,
21408  title         = {Mixed finite elements for global tide models},
21409  author        = {Colin J Cotter and Robert C Kirby},
21410  archiveprefix = {arXiv},
21411  journal       = {Submitted},
21412  eprint        = {1410.0045},
21413  year          = {2014},
21414  url           = {http://arxiv.org/abs/1410.0045}
21415}
21416
21417@Article{         kirbykieu2015,
21418  title         = {Symplectic-mixed finite element approximation of linear acoustic wave equations},
21419  author        = {Robert C Kirby and Thinh Tri Kieu},
21420  journal       = {Numerische Mathematik},
21421  volume        = {130},
21422  number        = {2},
21423  pages         = {257--291},
21424  year          = {2015},
21425  publisher     = {Springer}
21426}
21427
21428@Article{         brennankirby2015,
21429  title         = {Finite element approximation and preconditioners for a coupled thermo-acoustic
21430                  model},
21431  author        = {Brian Brennan and Robert C Kirby},
21432  journal       = {Submitted to Computers and Mathematics with Applications},
21433  year          = {2015}
21434}
21435
21436@Article{         howlekirbydillon2013,
21437  title         = {Block preconditioners for coupled physics problems},
21438  author        = {Victoria E Howle and Robert C Kirby and Geoffrey Dillon},
21439  journal       = {SIAM Journal on Scientific Computing},
21440  volume        = {35},
21441  number        = {5},
21442  pages         = {S368--S385},
21443  year          = {2013},
21444  publisher     = {SIAM}
21445}
21446
21447@Book{            malekstrakos2014,
21448  title         = {Preconditioning and the conjugate gradient method in the context of solving
21449                  PDEs},
21450  author        = {Josef M{\'a}lek and Zden\u{e}k Strako\u{s}},
21451  volume        = {1},
21452  year          = {2014},
21453  publisher     = {SIAM}
21454}
21455
21456@Article{         desturler1995,
21457  title         = {Reducing the effect of global communication in GMRES(m) and \{CG\} on parallel
21458                  distributed memory computers},
21459  author        = {E. de Sturler and H.A. van der Vorst},
21460  journal       = {Applied Numerical Mathematics},
21461  volume        = {18},
21462  number        = {4},
21463  pages         = {441--459},
21464  year          = {1995},
21465  doi           = {10.1016/0168-9274(95)00079-A}
21466}
21467
21468@Article{         velicmaymoresi2009,
21469  title         = {A fast robust algorithm for computing discrete voronoi diagrams},
21470  author        = {Velic, Mirko and May, Dave and Moresi, Louis},
21471  journal       = {Journal of Mathematical Modelling and Algorithms},
21472  volume        = {8},
21473  number        = {3},
21474  pages         = {343--355},
21475  year          = {2009},
21476  publisher     = {Springer}
21477}
21478
21479@Article{         may2012,
21480  title         = {Volume reconstruction of point cloud data sets derived from computational
21481                  geodynamic simulations},
21482  author        = {May, DA},
21483  journal       = {Geochemistry, Geophysics, Geosystems},
21484  volume        = {13},
21485  number        = {5},
21486  year          = {2012},
21487  publisher     = {Wiley Online Library}
21488}
21489
21490@Article{         quenettehodkinson2010,
21491  title         = {StgDomain--scalable parallel domain software components for particle-in-cell
21492                  finite element methods},
21493  author        = {Quenette, Steve and Hodkinson, Luke},
21494  journal       = {Concurrency and Computation: Practice and Experience},
21495  volume        = {22},
21496  number        = {12},
21497  pages         = {1593--1603},
21498  year          = {2010},
21499  publisher     = {Wiley Online Library}
21500}
21501
21502@Book{            velic2005,
21503  title         = {Gauge Invariant Integration and Perturbation of Petrov Type D Spacetimes},
21504  author        = {Velic, Mirko},
21505  year          = {2005},
21506  publisher     = {Monash University}
21507}
21508
21509@Article{         velicknepleymay2016,
21510  title         = {Numerically Stable Exact Solutions for Variable-Viscosity Stokes Equations},
21511  author        = {Mirko Velic and Louis Moresi and Dave May and Matthew Knepley},
21512  note          = {in preparation},
21513  year          = {2016}
21514}
21515
21516@Article{         traubwozniakowski1979,
21517  title         = {Convergence and complexity of Newton iteration for operator equations},
21518  author        = {Joseph Frederick Traub and H. Wo{\'z}niakowski},
21519  journal       = {Journal of the ACM (JACM)},
21520  volume        = {26},
21521  number        = {2},
21522  pages         = {250--258},
21523  year          = {1979},
21524  publisher     = {ACM}
21525}
21526
21527@Article{         sterck2013,
21528  title         = {Steepest descent preconditioning for nonlinear {GMRES} optimization},
21529  author        = {Hans De Sterck},
21530  journal       = {Numerical Linear Algebra with Applications},
21531  volume        = {20},
21532  number        = {3},
21533  pages         = {453--471},
21534  year          = {2013}
21535}
21536
21537@Article{         sterckwinlaw2015,
21538  title         = {A nonlinearly preconditioned conjugate gradient algorithm for {rank-R} canonical
21539                  tensor approximation},
21540  author        = {Hans De Sterck and Manda Winlaw},
21541  journal       = {Numerical Linear Algebra with Applications},
21542  volume        = {22},
21543  number        = {3},
21544  pages         = {410--432},
21545  year          = {2015}
21546}
21547
21548@Article{         sterckhowse2015,
21549  title         = {Nonlinearly preconditioned optimization on {Grassman} manifolds for computing
21550                  approximate {Tucker} tensor decompositions},
21551  author        = {Hans De Sterck and Alexander Howse},
21552  journal       = {SIAM Journal on Scientific Computing},
21553  note          = {submitted},
21554  year          = {2015}
21555}
21556
21557@Book{            ladevezesimmonds1999,
21558  title         = {Nonlinear computational structural mechanics: {N}ew approaches and
21559                  non-incremental methods of calculation},
21560  author        = {P. Ladev{\`e}ze and J.G. Simmonds},
21561  series        = {{M}echanical {E}ngineering {S}eries},
21562  url           = {http://books.google.com/books?id=McZRAAAAMAAJ},
21563  isbn          = {9780387985947},
21564  lccn          = {98029990},
21565  year          = {1999},
21566  publisher     = {Springer}
21567}
21568
21569@InProceedings{   walkerwoodwardyang2010,
21570  title         = {An accelerated fixed-point iteration for solution of variably saturated flow},
21571  author        = {Homer F Walker and Carol S Woodward and Ulrike M Yang},
21572  booktitle     = {Proc. XVIII International Conference on Water Resources, Barcelona},
21573  year          = {2010}
21574}
21575
21576@Article{         lottwalkerwoodwardyang2012,
21577  title         = {An accelerated {P}icard method for nonlinear systems related to variably
21578                  saturated flow},
21579  author        = {P. A. Lott and H. F. Walker and C. S. Woodward and U. M. Yang},
21580  journal       = {Advances in Water Resources},
21581  volume        = {38},
21582  number        = {0},
21583  pages         = {92--101},
21584  doi           = {10.1016/j.advwatres.2011.12.013},
21585  year          = {2012}
21586}
21587
21588@TechReport{      mohrrude1998,
21589  title         = {Communication Reduced Parallel Multigrid: Analysis and Experiments},
21590  author        = {Marcus Mohr and Ulrich R\"ude},
21591  type          = {Technical Report},
21592  number        = {394},
21593  institution   = {University of Augsburg},
21594  year          = {1998}
21595}
21596
21597@InProceedings{   mohr2000,
21598  title         = {Low Communication Parallel Multigrid},
21599  author        = {Mohr, Marcus},
21600  booktitle     = {Euro-Par 2000 Parallel Processing},
21601  pages         = {806--814},
21602  year          = {2000},
21603  organization  = {Springer}
21604}
21605
21606@Article{         brandtdiskin1994,
21607  title         = {Multigrid solvers on decomposed domains},
21608  author        = {Achi Brandt and Boris Diskin},
21609  journal       = {Contemporary Mathematics},
21610  volume        = {157},
21611  year          = {1994},
21612  publisher     = {AMERICAN MATHEMATICAL SOCIETY}
21613}
21614
21615@InProceedings{   prabhuetal2011,
21616  title         = {A Survey of the Practice of Computational Science},
21617  author        = {Prabhu, Prakash and Jablin, Thomas B. and Raman, Arun and Zhang, Yun and Huang,
21618                  Jialu and Kim, Hanjun and Johnson, Nick P. and Liu, Feng and Ghosh, Soumyadeep and
21619                  Beard, Stephen and Oh, Taewook and Zoufaly, Matthew and Walker, David and August,
21620                  David I.},
21621  booktitle     = {State of the Practice Reports},
21622  series        = {SC '11},
21623  year          = {2011},
21624  isbn          = {978-1-4503-1139-7},
21625  location      = {Seattle, Washington},
21626  pages         = {19:1--19:12},
21627  articleno     = {19},
21628  numpages      = {12},
21629  doi           = {10.1145/2063348.2063374},
21630  acmid         = {2063374},
21631  publisher     = {ACM},
21632  address       = {New York, NY, USA}
21633}
21634
21635@PhDThesis{       dinarthesis1979,
21636  title         = {Fast methods for the numerical solution of boundary value problems},
21637  author        = {N. Dinar},
21638  school        = {Weizmann Institute of Science},
21639  year          = {1979}
21640}
21641
21642@Article{         thomasdiskinbrandt2001,
21643  title         = {Textbook multigrid efficiency for the incompressible Navier--Stokes equations:
21644                  high Reynolds number wakes and boundary layers},
21645  author        = {James L Thomas and Boris Diskin and Achi Brandt},
21646  journal       = {Computers \& fluids},
21647  volume        = {30},
21648  number        = {7},
21649  pages         = {853--874},
21650  year          = {2001},
21651  publisher     = {Elsevier}
21652}
21653
21654@Article{         greenbaumptakstrakos1996,
21655  title         = {Any nonincreasing convergence curve is possible for {GMRES}},
21656  author        = {Anne Greenbaum and Vlastimil Pt{\'a}k and Zden{\v{e}}k Strako{\v{s}}},
21657  journal       = {SIAM Journal on Matrix Analysis and Applications},
21658  volume        = {17},
21659  number        = {3},
21660  pages         = {465--469},
21661  year          = {1996},
21662  publisher     = {SIAM}
21663}
21664
21665@Article{         nangiapatankarbhalla2019,
21666  title         = {A {DLM} immersed boundary method based wave-structure interaction solver for high
21667                  density ratio multiphase flows},
21668  author        = {Nishant Nangia and Neelesh A Patankar and Amneet Pal Singh Bhalla},
21669  journal       = {Journal of Computational Physics},
21670  volume        = {398},
21671  pages         = {108804},
21672  year          = {2019}
21673}
21674
21675@Article{         bhallanangiadafnakisbraccomattiazzo2019,
21676  title         = {Simulating water-entry/exit problems using {Eulerian}-{Lagrangian} and
21677                  fully-{Eulerian} fictitious domain methods within the open-source {IBAMR}
21678                  library},
21679  author        = {Amneet Pal Singh Bhalla and Nishant Nangia and Panagiotis Dafnakis and Giovanni
21680                  Bracco and Giuliana Mattiazzo},
21681  journal       = {Applied Ocean Research},
21682  note          = {In press},
21683  year          = {2019}
21684}
21685
21686@Article{         bhallagriffithpatankardonev2013,
21687  title         = {A minimally-resolved immersed boundary model for reaction-diffusion problems},
21688  author        = {Amneet Pal Singh Bhalla and Boyce E. Griffith and Neelesh A. Patankar and
21689                  Alexander Donev},
21690  journal       = {Journal of Chemical Physics},
21691  volume        = {139},
21692  number        = {21},
21693  pages         = {214112},
21694  year          = {2013}
21695}
21696
21697@Article{         bhallabalegriffithpatankar2014,
21698  title         = {Fully resolved immersed electrohydrodynamics for particle motion,
21699                  electrolocation, and self-propulsion},
21700  author        = {Amneet Pal Singh Bhalla and R. Bale and Boyce E. Griffith and Neelesh A.
21701                  Patankar},
21702  journal       = {Journal of Computational Physics},
21703  volume        = {256},
21704  pages         = {88--108},
21705  year          = {2014}
21706}
21707
21708@Article{         usabiagakallemovdelmottebhallagriffithdonev2016,
21709  title         = {Hydrodynamics of suspensions of passive and active rigid particles: a rigid
21710                  multiblob approach},
21711  author        = {F. Balboa Usabiaga and B. Kallemov and B. Delmotte and Amneet Pal Singh Bhalla
21712                  and Boyce E. Griffith and Alexander Donev},
21713  journal       = {Communications in Applied Mathematics and Computational Science},
21714  volume        = {11},
21715  number        = {2},
21716  pages         = {217--296},
21717  year          = {2016}
21718}
21719
21720@Article{         koubhallagriffithpandolfinokahrilaspatankar2015,
21721  title         = {A fully resolved active musculo-mechanical model for esophageal transport},
21722  author        = {W. Kou and Amneet Pal Singh Bhalla and Boyce E. Griffith and J.E. Pandolfino and
21723                  P.J. Kahrilas and Neelesh A. Patankar},
21724  journal       = {Journal of Computational Physics},
21725  volume        = {298},
21726  pages         = {446--465},
21727  year          = {2015}
21728}
21729
21730@Article{         balenevelnbhallamaciverpatankar2015,
21731  title         = {Convergent evolution of mechanically optimal locomotion in aquatic invertebrates
21732                  and vertebrates},
21733  author        = {R. Bale and I. D. Neveln and Amneet Pal Singh Bhalla and M.A. MacIver and Neelesh
21734                  A. Patankar},
21735  journal       = {PLoS Biology},
21736  volume        = {13},
21737  number        = {4},
21738  pages         = {1--22},
21739  year          = {2015}
21740}
21741
21742@Article{         balehaobhallapatankar2014,
21743  title         = {Energy efficiency and allometry of movement of swimming and flying animals},
21744  author        = {Rahul Bale and Max Hao and Amneet Pal Singh Bhalla and Neelesh A Patankar},
21745  journal       = {Proceedings of the National Academy of Sciences},
21746  volume        = {111},
21747  number        = {21},
21748  pages         = {7517--7521},
21749  year          = {2014}
21750}
21751
21752@Article{         bhallabalegriffithpatankar2013,
21753  title         = {A unified mathematical framework and an adaptive numerical method for
21754                  fluid--structure interaction with rigid, deforming, and elastic bodies},
21755  author        = {Amneet Pal Singh Bhalla and Rahul Bale and Boyce E Griffith and Neelesh A
21756                  Patankar},
21757  journal       = {Journal of Computational Physics},
21758  volume        = {250},
21759  pages         = {446--476},
21760  year          = {2013},
21761  publisher     = {Elsevier}
21762}
21763
21764@Article{         takeikatz2013,
21765  title         = {Consequences of viscous anisotropy in a deforming, two-phase aggregate. Part 1.
21766                  Governing equations and linearized analysis},
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22354
22355@Book{            ciarlet1976,
22356  title         = {Numerical analysis of the finite element method},
22357  author        = {Philippe G Ciarlet},
22358  volume        = {59},
22359  year          = {1976},
22360  publisher     = {Presses de l'Universit{\'e} de Montr{\'e}al}
22361}
22362
22363@InProceedings{   liumellorcrummey2013,
22364  title         = {A data-centric profiler for parallel programs},
22365  author        = {Xu Liu and John Mellor-Crummey},
22366  booktitle     = {2013 SC-International Conference for High Performance Computing, Networking,
22367                  Storage and Analysis (SC)},
22368  pages         = {1--12},
22369  year          = {2013},
22370  organization  = {IEEE}
22371}
22372
22373@InCollection{    ernstgander2012,
22374  title         = {Why it is difficult to solve Helmholtz problems with classical iterative
22375                  methods},
22376  author        = {Oliver G Ernst and Martin J Gander},
22377  booktitle     = {Numerical analysis of multiscale problems},
22378  pages         = {325--363},
22379  url           = {http://www.mathe.tu-freiberg.de/~ernst/PubArchive/helmholtzDurham.pdf},
22380  year          = {2012}
22381}
22382
22383@Article{         warburtonkarniadakis1999,
22384  title         = {A discontinuous {G}alerkin method for the viscous {MHD} equations},
22385  author        = {Timothy C Warburton and George E Karniadakis},
22386  journal       = {Journal of Computational Physics},
22387  volume        = {152},
22388  number        = {2},
22389  pages         = {608--641},
22390  year          = {1999}
22391}
22392
22393@Article{         salahsoulaimanihabashi2001,
22394  title         = {A finite element method for magnetohydrodynamics},
22395  author        = {Nizar Ben Salah and Azzeddine Soulaimani and Wagdi G Habashi},
22396  journal       = {Computer Methods in Applied Mechanics and Engineering},
22397  volume        = {43},
22398  number        = {190},
22399  pages         = {5867--5892},
22400  year          = {2001}
22401}
22402
22403@Article{         nesliturktezersezgin2005,
22404  title         = {The finite element method for {MHD} flow at high {Hartmann} numbers},
22405  author        = {Ali I Nesliturk and M Tezer-Sezgin},
22406  journal       = {Computer methods in applied mechanics and engineering},
22407  volume        = {194},
22408  number        = {9},
22409  pages         = {1201--1224},
22410  year          = {2005}
22411}
22412
22413@Article{         strakschellart2016,
22414  title         = {Control of Slab Width on Subduction-Induced Upper Mantle Flow and Associated
22415                  Upwellings: Insights from Analog Models},
22416  author        = {Vincent Strak and Wouter P Schellart},
22417  journal       = {Journal of Geophysical Research: Solid Earth},
22418  year          = {2016}
22419}
22420
22421@InBook{          kirbyloggrognesterrel2012,
22422  title         = {Common and unusual finite elements},
22423  author        = {Robert C. Kirby and Anders Logg and Marie E. Rognes and Andy R. Terrel},
22424  editor        = {Anders Logg and Kent-Andre Mardal and Garth Wells},
22425  booktitle     = {Automated Solution of Differential Equations by the Finite Element Method: The
22426                  {FEniCS} Book},
22427  publisher     = {Springer Berlin Heidelberg},
22428  address       = {Berlin, Heidelberg},
22429  pages         = {95--119},
22430  isbn          = {978-3-642-23099-8},
22431  doi           = {10.1007/978-3-642-23099-8_3},
22432  year          = {2012}
22433}
22434
22435@InBook{          kirbymardal2012,
22436  author        = {Robert C. Kirby and Kent-Andre Mardal},
22437  title         = {Constructing general reference finite elements},
22438  editor        = {Anders Logg and Kent-Andre Mardal and Garth Wells},
22439  booktitle     = {Automated Solution of Differential Equations by the Finite Element Method: The
22440                  {FEniCS} Book},
22441  publisher     = {Springer Berlin Heidelberg},
22442  address       = {Berlin, Heidelberg},
22443  pages         = {121--132},
22444  isbn          = {978-3-642-23099-8},
22445  doi           = {10.1007/978-3-642-23099-8_4},
22446  year          = {2012}
22447}
22448
22449@Book{            wriggers2008,
22450  title         = {Nonlinear finite element methods},
22451  author        = {Peter Wriggers},
22452  publisher     = {Springer Science \& Business Media},
22453  year          = {2008}
22454}
22455
22456@Book{            zienkiewicztaylor1977,
22457  title         = {The finite element method},
22458  author        = {Zienkiewicz, Olgierd Cecil and Taylor, Robert Leroy and Taylor, Robert Lee},
22459  publisher     = {McGraw-hill London},
22460  volume        = {3},
22461  year          = {1977}
22462}
22463
22464@Article{         rogneskirbylogg2009,
22465  title         = {Efficient assembly of {H(div)} and {H(curl)} conforming finite elements},
22466  author        = {Marie E Rognes and Robert C Kirby and Anders Logg},
22467  journal       = {SIAM Journal on Scientific Computing},
22468  volume        = {31},
22469  number        = {6},
22470  pages         = {4130--4151},
22471  year          = {2009}
22472}
22473
22474@Book{            kelley03,
22475  title         = {Solving nonlinear equations with Newton's method},
22476  author        = {Carl T. Kelley},
22477  publisher     = {SIAM},
22478  year          = {2003}
22479}
22480
22481@Article{         turing1937,
22482  title         = {The Chemical Basis of Morphogenesis},
22483  author        = {A. M. Turing},
22484  journal       = {Philosophical Transactions of the Royal Society B: Biological Sciences},
22485  volume        = {237},
22486  number        = {641},
22487  pages         = {37--72},
22488  doi           = {10.1098/rstb.1952.0012},
22489  issn          = {0080-4622},
22490  url           = {http://rstb.royalsocietypublishing.org/content/237/641/37},
22491  eprint        = {http://rstb.royalsocietypublishing.org/content/237/641/37.full.pdf},
22492  year          = {1952}
22493}
22494
22495@Article{         fabienknepleymillsriviere2017,
22496  title         = {Manycore parallel computing for a hybridizable discontinuous {Galerkin} nested
22497                  multigrid method},
22498  author        = {Maurice S. Fabien and Matthew G. Knepley and Richard Mills and B\'eatrice M.
22499                  Rivi\`ere},
22500  journal       = {SIAM Journal on Scientific Computing},
22501  url           = {https://arxiv.org/abs/1705.09907},
22502  volume        = {41},
22503  number        = {2},
22504  pages         = {C73--C96},
22505  doi           = {10.1137/17M1128903},
22506  year          = {2018}
22507}
22508
22509@Article{         fabienknepleyriviere2018,
22510  title         = {A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous
22511                  porous media},
22512  author        = {Maurice S. Fabien and Matthew G. Knepley and B\'eatrice M. Rivier\'e},
22513  journal       = {International Journal for Numerical Methods in Engineering},
22514  volume        = {116},
22515  number        = {3},
22516  pages         = {161--177},
22517  doi           = {10.1002/nme.5919},
22518  year          = {2018}
22519}
22520
22521@Article{         fabienknepleyriviere2020,
22522  title         = {A high order hybridizable discontinuous Galerkin method for incompressible
22523                  miscible displacement in heterogeneous media},
22524  author        = {Maurice S. Fabien and Matthew G. Knepley and B\'eatrice M. Rivi\`ere},
22525  journal       = {Results in Applied Mathematics},
22526  url           = {https://arxiv.org/abs/1809.00747},
22527  volume        = {8},
22528  pages         = {100089},
22529  doi           = {10.1016/j.rinam.2019.100089},
22530  year          = {2020}
22531}
22532
22533@Article{         fabienknepleyriviere2019b,
22534  title         = {Families of Interior Penalty Hybridizable discontinuous Galerkin methods for
22535                  second order elliptic problems},
22536  author        = {Maurice S. Fabien and Matthew G. Knepley and B\'eatrice M. Rivi\`ere},
22537  journal       = {Journal of Numerical Mathematics},
22538  volume        = {28},
22539  number        = {3},
22540  pages         = {161--174},
22541  doi           = {10.1515/jnma-2019-0027},
22542  year          = {2019}
22543}
22544
22545@Article{         fabien2019,
22546  title         = {A {GPU}-Accelerated Hybridizable Discontinuous {Galerkin} Method for Linear
22547                  Elasticity},
22548  author        = {Maurice S. Fabien},
22549  journal       = {Communications in Computational Physics},
22550  volume        = {27},
22551  number        = {2},
22552  pages         = {513--545},
22553  issn          = {1991-7120},
22554  doi           = {10.4208/cicp.OA-2018-0235},
22555  year          = {2019}
22556}
22557
22558@Unpublished{     awanoufabienguzmanstern2020,
22559  title         = {Hybridization and postprocessing in finite element exterior calculus},
22560  author        = {Gerard Awanou and Maurice Fabien and Johnny Guzm\'an and Ari Stern},
22561  eprint        = {2008.00149},
22562  note          = {preprint},
22563  primaryclass  = {math.NA},
22564  year          = {2020}
22565}
22566
22567@Article{         chaabanegiraultrivierethompson2018,
22568  title         = {A stable enriched {G}alerkin element for the {S}tokes problem},
22569  author        = {Nabil Chaabane and Vivette Girault and B\'eatrice Rivi\`ere and Travis Thompson},
22570  journal       = {Applied Numerical Mathematics},
22571  volume        = {132},
22572  pages         = {1--21},
22573  issn          = {0168-9274},
22574  doi           = {https://doi.org/10.1016/j.apnum.2018.04.008},
22575  url           = {http://www.sciencedirect.com/science/article/pii/S0168927418300977},
22576  year          = {2018}
22577}
22578
22579@Article{         thompsonriviereknepley2018,
22580  title         = {An Implicit Discontinuous Galerkin Method For Modeling Acute Edema and
22581                  Resuscitation In The Small Intestine},
22582  author        = {Travis Thompson and B\'eatrice M. Rivi\`ere and Matthew G. Knepley},
22583  journal       = {Mathematical Medicine and Biology},
22584  volume        = {36},
22585  number        = {4},
22586  pages         = {513--548},
22587  doi           = {10.1093/imammb/dqz00},
22588  year          = {2019}
22589}
22590
22591@Article{         kevrekidisthompsongoriely2020,
22592  title         = {Anisotropic Diffusion and Traveling Waves of Toxic Proteins in Neurodegenerative
22593                  Diseases},
22594  author        = {P. G. Kevrekidis and Travis Thompson and Alain Goriely},
22595  journal       = {Physics Letters A},
22596  volume        = {384},
22597  number        = {36},
22598  pages         = {126935},
22599  year          = {2020}
22600}
22601
22602@Article{         mardalrognesthompson2021,
22603  title         = {Accurate Discretization Of Poroelasticity Without {Darcy} Stability --
22604                  {Stokes-Biot} Stability Revisited},
22605  author        = {Kent-Andre Mardal and Marie E. Rognes and Travis B. Thompson},
22606  journal       = {BIT Numerical Mathematics},
22607  pages         = {1--36},
22608  year          = {2021}
22609}
22610
22611@Article{         piersantileethompsonmardalrognes2021,
22612  title         = {Parameter robust preconditioning by congruence for multiple-network
22613                  poroelasticity},
22614  author        = {Piersanti, Eleonora and Lee, Jeonghun J and Thompson, Travis and Mardal, K-A and
22615                  Rognes, Marie E},
22616  journal       = {SIAM Journal on Scientific Computing},
22617  volume        = {43},
22618  number        = {4},
22619  pages         = {B984--B1007},
22620  year          = {2021},
22621  publisher     = {SIAM}
22622}
22623
22624@Article{         walkerknepleyaagaardwilliams2023,
22625  title         = {Multiphysics Modeling in {PyLith}: Poroelasticity},
22626  author        = {Robert L. Walker and Matthew G. Knepley and Brad T. Aagaard and Charles A. Williams},
22627  journal       = {Geophysical Journal International},
22628  volume        = {235},
22629  number        = {3},
22630  pages         = {2442--2475},
22631  doi           = {10.1093/gji/ggad370},
22632  year          = {2023}
22633}
22634
22635@InProceedings{   actorfuentesriviere2020b,
22636  title         = {Identification of Kernels in a Convolutional Neural Network: Connections Between
22637                  Level Set Equation and Deep Learning for Image Segmentation},
22638  author        = {Jonas A. Actor and David T. Fuentes and B\'eatrice M. Rivi\`ere},
22639  booktitle     = {Proceedings of the SPIE Medical Imaging Conference},
22640  year          = {2020}
22641}
22642
22643@Article{         actorfuentesriviere2020,
22644  title         = {Robust Regularized Networks in the Presence of Noise},
22645  author        = {Jonas A. Actor and David T. Fuentes and B\'eatrice M. Rivi\`ere},
22646  journal       = {Medical Image Analysis},
22647  note          = {In revision},
22648  year          = {2020}
22649}
22650
22651@Book{            byerly1893,
22652  title         = {An elementary treatise on Fourier's series: and spherical, cylindrical, and
22653                  ellipsoidal harmonics, with applications to problems in mathematical physics},
22654  author        = {William Elwood Byerly},
22655  publisher     = {Dover},
22656  year          = {1893}
22657}
22658
22659@Book{            hobson1931,
22660  title         = {The theory of spherical and ellipsoidal harmonics},
22661  author        = {Ernest William Hobson},
22662  year          = {1931},
22663  publisher     = {CUP Archive}
22664}
22665
22666@Book{            dassios2012,
22667  title         = {Ellipsoidal harmonics: theory and applications},
22668  author        = {George Dassios},
22669  volume        = {146},
22670  year          = {2012},
22671  publisher     = {Cambridge University Press}
22672}
22673
22674@Book{            miller1977,
22675  title         = {Symmetry and separation of variables},
22676  author        = {Miller, Jr, Willard},
22677  year          = {1977},
22678  address       = {Reading, MA},
22679  publisher     = {Addison-Wesley Publishing Co., Inc.}
22680}
22681
22682@TechReport{      epanet-users-manual,
22683  author        = {Lewis A. Rossman},
22684  title         = {{EPANET 2} Users Manual},
22685  institution   = {Water Supply and Water Resources Division, National Risk Management Research
22686                  Laboratory, Cincinnati, OH 45268},
22687  year          = {2000}
22688}
22689
22690@Article{         klocknerbarnettgreengardoneil2013,
22691  title         = {Quadrature by expansion: A new method for the evaluation of layer potentials},
22692  author        = {Andreas Kl{\"o}ckner and Alexander Barnett and Leslie Greengard and Michael
22693                  O'Neil},
22694  journal       = {Journal of Computational Physics},
22695  volume        = {252},
22696  pages         = {332--349},
22697  year          = {2013}
22698}
22699
22700@Article{         turcksinkronbichlerbangerth2016,
22701  title         = {WorkStream--A Design Pattern for Multicore-Enabled Finite Element Computations},
22702  author        = {Bruno Turcksin and Martin Kronbichler and Wolfgang Bangerth},
22703  journal       = {ACM Transactions on Mathematical Software)},
22704  volume        = {43},
22705  number        = {1},
22706  pages         = {2},
22707  year          = {2016}
22708}
22709
22710@Article{         vitushkin1954,
22711  title         = {On {Hilbert's} thirteenth problem},
22712  author        = {A. G. Vitushkin},
22713  journal       = {Dokl. Akad. Nauk SSSR},
22714  volume        = {95},
22715  pages         = {701--704},
22716  year          = {1954}
22717}
22718
22719@Article{         kolmogorov1957,
22720  title         = {On the representation of continuous functions of several variables as
22721                  superpositions of continuous functions of one variable and addition},
22722  author        = {Andrei N. Kolmogorov},
22723  journal       = {Dokl. Akad. Nauk SSSR},
22724  pages         = {953--956},
22725  volume        = {114:5},
22726  note          = {English transl. Amer. Math. Soc. Transl. (2) 28 (1963), 55},
22727  year          = {1957}
22728}
22729
22730@Article{         fridman1967,
22731  title         = {Improvement in the smoothness of functions in the {Kolmogorov Superposition
22732                  Theorem}},
22733  author        = {B. L. Fridman},
22734  journal       = {Dokl. Akad. Nauk SSR},
22735  volume        = {177:5},
22736  pages         = {1019--1022},
22737  note          = {English transl. Soviet Math. Dokl. 8, 6 (1967), 1550-1553},
22738  year          = {1967}
22739}
22740
22741@Article{         sprecher1972,
22742  title         = {An improvement in The {Superposition Theorem of Kolmogorov}},
22743  author        = {David Sprecher},
22744  journal       = {Journal of Mathematical Analysis and Applications},
22745  volume        = {38},
22746  pages         = {208--213},
22747  year          = {1972}
22748}
22749
22750@Article{         diaconisshahshahani1984,
22751  title         = {On nonlinear functions of linear combinations},
22752  author        = {Persi Diaconis and Mehrdad Shahshahani},
22753  journal       = {SIAM Journal on Scientific and Statistical Computing},
22754  volume        = {5},
22755  number        = {1},
22756  pages         = {175--191},
22757  year          = {1984},
22758  publisher     = {SIAM}
22759}
22760
22761@InProceedings{   hechtnielsen1987,
22762  title         = {Kolmogorov's mapping neural network existence theorem},
22763  author        = {R. Hecht-Nielsen},
22764  booktitle     = {Proceedings of the International Conference on Neural Networks},
22765  volume        = {III},
22766  pages         = {11--14},
22767  publisher     = {IEEE Press},
22768  year          = {1987}
22769}
22770
22771@InProceedings{   hechtnielsen1989,
22772  title         = {Theory of the back-propagation neural network},
22773  author        = {R. Hecht-Nielsen},
22774  booktitle     = {Proceedings of the International Joint Conference on Neural Networks},
22775  volume        = {I},
22776  pages         = {593--608},
22777  publisher     = {IEEE Press},
22778  year          = {1989}
22779}
22780
22781@Article{         girosipoggio1989,
22782  title         = {Representation properties of networks: {Kolmogorov's} theorem is irrelevant},
22783  author        = {Federico Girosi and Tomaso Poggio},
22784  journal       = {Neural Computation},
22785  volume        = {1},
22786  number        = {4},
22787  pages         = {465--469},
22788  year          = {1989},
22789  publisher     = {MIT Press}
22790}
22791
22792@InBook{          koppen2002,
22793  title         = {On the Training of a Kolmogorov Network},
22794  author        = {Mario K\"oppen},
22795  pages         = {474--9},
22796  publisher     = {ICANN 2002, LNCS 2415},
22797  year          = {2002}
22798}
22799
22800@PhDThesis{       bryant2008,
22801  title         = {Analysis of {Kolmogorov's} superposition theorem and its implementation in
22802                  applications with low and high dimensional data},
22803  author        = {Donald W Bryant},
22804  school        = {University of Central Florida},
22805  year          = {2008}
22806}
22807
22808@InCollection{    griebel2006,
22809  title         = {Sparse Grids for Higher Dimensional Problems},
22810  author        = {Michael Griebel},
22811  booktitle     = {Foundations of Computational Mathematics},
22812  editor        = {Luis M. Pardo and Allan Pinkus and Endre Suli and Michael J. Todd},
22813  publisher     = {Cambridge University Press},
22814  pages         = {106--161},
22815  doi           = {10.1017/CBO9780511721571.004},
22816  url           = {https://www.cambridge.org/core/books/foundations-of-computational-mathematics-santander-2005/sparse-grids-for-higher-dimensional-problems/C6E91FFE07DF5F6C069B80805B216B50},
22817  month         = jun,
22818  day           = {29},
22819  year          = {2006}
22820}
22821
22822@Article{         braungriebel2009,
22823  title         = {On a constructive proof of {Kolmogorov}'s superposition theorem},
22824  author        = {Jurgen Bra\"un and Michael Griebel},
22825  journal       = {Constructive Approximation},
22826  pages         = {653--675},
22827  volume        = {30},
22828  year          = {2009}
22829}
22830
22831@InProceedings{   lenifougerolletruchetet2009,
22832  title         = {Kolmogorov superposition theorem and its application to wavelet image
22833                  decompositions},
22834  author        = {Pierre-Emmanuel Leni and Yohan D Fougerolle and Fr{\'{e}}d{\'{e}}ric Truchetet},
22835  booktitle     = {Electronic Imaging-Wavelet Applications in Industrial Processing VI, Proceedings
22836                  of the SPIE},
22837  pages         = {724804--724804},
22838  doi           = {10.1117/12.805916},
22839  url           = {http://le2i.cnrs.fr/IMG/publications/2228{\_}main.pdf{\%}5Cnhttp://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1335035},
22840  year          = {2009}
22841}
22842
22843@Article{         oseledets2011,
22844  title         = {Tensor-train decomposition},
22845  author        = {Ivan V Oseledets},
22846  journal       = {SIAM Journal on Scientific Computing},
22847  volume        = {33},
22848  number        = {5},
22849  pages         = {2295--2317},
22850  year          = {2011}
22851}
22852
22853@PhDThesis{       liu2015,
22854  title         = {Kolmogorov superposition theorem and its applications},
22855  author        = {Xing Liu},
22856  school        = {Imperial College London},
22857  year          = {2015}
22858}
22859
22860@Article{         lecunbengiohinton2015,
22861  title         = {Deep learning},
22862  author        = {Yann LeCun and Yoshua Bengio and Geoffrey Hinton},
22863  journal       = {Nature},
22864  volume        = {521},
22865  number        = {7553},
22866  pages         = {436--444},
22867  year          = {2015}
22868}
22869
22870@Book{            trefethen2013,
22871  title         = {Approximation theory and approximation practice},
22872  author        = {Lloyd N Trefethen},
22873  publisher     = {SIAM},
22874  year          = {2013}
22875}
22876
22877@Article{         butlergrahammattiswalsh2017,
22878  title         = {A measure-theoretic interpretation of sample based numerical integration with
22879                  applications to inverse and prediction problems under uncertainty},
22880  author        = {Troy Butler and Lindsey Graham and S. Mattis and S. Walsh},
22881  journal       = {SIAM Journal on Scientific Computing},
22882  volume        = {39},
22883  number        = {5},
22884  pages         = {A2072--A2098},
22885  year          = {2017}
22886}
22887
22888@Article{         logg2009,
22889  title         = {Efficient representation of computational meshes},
22890  author        = {Anders Logg},
22891  journal       = {International Journal of Computational Science and Engineering},
22892  volume        = {4},
22893  number        = {4},
22894  pages         = {283--295},
22895  year          = {2009}
22896}
22897
22898@Article{         agelekandersonbangerthbarth2017,
22899  title         = {On orienting edges of unstructured two-and three-dimensional meshes},
22900  author        = {Rainer Agelek and Michael Anderson and Wolfgang Bangerth and William L Barth},
22901  journal       = {ACM Transactions on Mathematical Software (TOMS)},
22902  volume        = {44},
22903  number        = {1},
22904  pages         = {5},
22905  year          = {2017}
22906}
22907
22908@Article{         actorknepley2018,
22909  title         = {An Algorithm for Computing {Lipschitz} Inner Functions in {Kolmogorov's
22910                  Superposition Theorem}},
22911  author        = {Jonas Actor and Matthew G. Knepley},
22912  eprint        = {1712.08286},
22913  archiveprefix = {arXiv},
22914  primaryclass  = {math.na},
22915  note          = {\url{http://arxiv.org/abs/1712.08286}},
22916  year          = {2018}
22917}
22918
22919@Book{            driscollhaletrefethen2014,
22920  title         = {Chebfun guide},
22921  author        = {Tobin A Driscoll and Nicholas Hale and Lloyd N Trefethen},
22922  publisher     = {Pafnuty Publications, Oxford},
22923  year          = {2014}
22924}
22925
22926@Article{         johntobiska2000,
22927  title         = {Numerical performance of smoothers in coupled multigrid methods for the parallel
22928                  solution of the incompressible Navier-Stokes equations},
22929  author        = {Volker John and Lutz Tobiska},
22930  journal       = {International Journal for Numerical Methods in Fluids},
22931  volume        = {33},
22932  number        = {4},
22933  pages         = {453--473},
22934  year          = {2000}
22935}
22936
22937@Article{         vanka1986,
22938  title         = {Block-implicit multigrid calculation of two-dimensional recirculating flows},
22939  author        = {S. P. Vanka},
22940  journal       = {Computer Methods in Applied Mechanics and Engineering},
22941  volume        = {59},
22942  number        = {1},
22943  pages         = {29--48},
22944  year          = {1986}
22945}
22946
22947@Article{         bartelgunther2018,
22948  author        = {Andreas Bartel and Michael G\"unther},
22949  title         = {{PDAEs} in refined electrical network modeling},
22950  journal       = {SIAM Review},
22951  volume        = {60},
22952  number        = {1},
22953  pages         = {56--91},
22954  doi           = {10.1137/17M1113643},
22955  year          = {2018}
22956}
22957
22958@Article{         matpower,
22959  author        = {Ray D. Zimmerman and Carlos E. Murillo-S{\'a}nchez and Robert J. Thomas},
22960  title         = {{MATPOWER}: Steady-state operations, planning and analysis tools for power
22961                  systems research and education},
22962  journal       = {IEEE Transactions on Power Systems},
22963  volume        = {26},
22964  number        = {1},
22965  pages         = {12--19},
22966  year          = {2011},
22967  doi           = {10.1109/TPWRS.2010.2051168}
22968}
22969
22970@Article{         betrieyan2018,
22971  author        = {G. Betrie and E. Yan},
22972  title         = {Development and Verification of Thermoelectric Power Plant Model for Assessing
22973                  Energy and Water Nexus},
22974  journal       = {Applied Energy, Submitted},
22975  volume        = {},
22976  number        = {},
22977  pages         = {},
22978  doi           = {},
22979  year          = {2018}
22980}
22981
22982@Article{         faeth2012,
22983  author        = {P. Faeth},
22984  title         = {{U.S.} Energy Security and Water: The Challenges We Face},
22985  journal       = {Environment: Science and Policy for Sustainable Development},
22986  volume        = {54(1)},
22987  number        = {1},
22988  pages         = {4--19},
22989  year          = {2012},
22990  doi           = {10.1080/00139157.2012.639595}
22991}
22992
22993@InProceedings{   hagberg2008,
22994  title         = {Exploring network structure, dynamics, and function using {NetworkX}},
22995  author        = {Hagberg, Aric A. and Schult, Daniel A. and Swart, Pieter J.},
22996  booktitle     = {Proceedings of the 7th Python in Science Conference (SciPy2008), Ga\"{e}l
22997                  Varoquaux, Travis Vaught, and Jarrod Millman (Eds), (Pasadena, CA USA)},
22998  year          = {2008},
22999  pages         = {11--15}
23000}
23001
23002@Misc{            simulink-web-page,
23003  author        = {Mathworks},
23004  title         = {{SIMULINK} web page},
23005  note          = {\url{https://www.mathworks.com/products/simulink.html}},
23006  year          = {2017}
23007}
23008
23009@Misc{            labview-web-page,
23010  author        = {National Instruments},
23011  title         = {{LabVIEW} web page},
23012  note          = {\url{http://www.ni.com/labview/}},
23013  key           = {labview},
23014  year          = {2017}
23015}
23016
23017@Misc{            modelica-web-page,
23018  author        = {Modelica Association},
23019  title         = {Modelica web page},
23020  note          = {\url{https://www.modelica.org/}},
23021  year          = {2017}
23022}
23023
23024@InProceedings{   yangsc16,
23025  author        = {C. Yang and W. Xue and H. Fu and H. You and X. Wang and Y. Ao and F. Liu and L.
23026                  Gan and P. Xu and L. Wang and G. Yang and W. Zheng},
23027  booktitle     = {{SC '16}: Proceedings of the International Conference for High Performance
23028                  Computing, Networking, Storage and Analysis},
23029  title         = {{10M-Core} Scalable Fully-Implicit Solver for Nonhydrostatic Atmospheric
23030                  Dynamics},
23031  note          = {Gordon Bell Award},
23032  year          = {2016}
23033}
23034
23035@InProceedings{   bekassc15,
23036  author        = {C. Bekas and A. Curioni and O. Ghattas and M. Gurnis and Y. Ineichen and T. Isaac
23037                  and C. Malossi and J. Rudi and G. Stadler and P.W.J. Staar},
23038  booktitle     = {{SC '15}: Proceedings of the International Conference for High Performance
23039                  Computing, Networking, Storage and Analysis},
23040  title         = {An Extreme-Scale Implicit Solver for Complex {PDEs}: Highly Heterogeneous Flow in
23041                  Earth's Mantle},
23042  note          = {Gordon Bell Award},
23043  year          = {2015}
23044}
23045
23046@Misc{            improving-software-whitepaper2017,
23047  author        = {M. Heroux and L.C. McInnes},
23048  title         = {Improving and accelerating scientific discovery through better software},
23049  note          = {whitepaper for 2017 ASCR Applied Mathematics PI Meeting},
23050  doi           = {10.6084/m9.figshare.5339692},
23051  year          = {2017}
23052}
23053
23054@Misc{            doe:40thanniversarycollection,
23055  title         = {{DOE Office of Science} 40th anniversary collection of 40 major papers that have
23056                  changed the face of science},
23057  key           = {Department of Energy, Office of Science},
23058  howpublished  = {\url{https://science.energy.gov/news/doe-science-at-40}},
23059  year          = {2017}
23060}
23061
23062@Misc{            siam:fellowsprogram,
23063  title         = {{Society for Industrial and Applied Mathematics, Fellows Program}},
23064  key           = {SIAM},
23065  howpublished  = {\url{http://www.siam.org/prizes/fellows}}
23066}
23067
23068@Misc{            r-and-d100:awards2009,
23069  title         = {{R\&D100 Award Winners 2009}},
23070  key           = {{R\&D100 Award Winners 2009}},
23071  howpublished  = {\url{https://www.rdmag.com/2009/08/2009-r-d-100-award-winners}}
23072}
23073
23074@Misc{            xsdk:website,
23075  title         = {{xSDK: Extreme-scale Scientific Software Development Kit}},
23076  key           = {xSDK: Extreme-scale Scientific Software Development Kit},
23077  howpublished  = {\url{https://xsdk.info}}
23078}
23079
23080@Misc{            xsdk-community-installation-policies2017,
23081  title         = {{xSDK} Community Installation Policies: {GNU Autoconf} and {CMake} Options},
23082  author        = {R. Bartlett and J. Sarich and B. Smith and T. Gamblin and {xSDK developers}},
23083  note          = {version 0.3, November 7, 2017},
23084  doi           = {10.6084/m9.figshare.4495133},
23085  year          = {2017}
23086}
23087
23088@Misc{            xsdk-community-package-policies2017,
23089  title         = {{xSDK} Community Package Policies},
23090  author        = {B. Smith and R. Bartlett and {xSDK developers}},
23091  note          = {version 0.3, November 7, 2017},
23092  doi           = {10.6084/m9.figshare.4495136},
23093  year          = {2017}
23094}
23095
23096@Misc{            ideas-what-are-interoperable-libraries,
23097  title         = {What Are Interoperable Software Libraries: Introducing the {xSDK}},
23098  author        = {Lois Curfman McInnes and Michael A. Heroux and Xiaoye Li and Barry Smith and
23099                  Ulrike Yang and {all xSDK developers}},
23100  note          = {IDEAS {\em WhatIs} document, version 0.2, April 25, 2016, available via
23101                  \url{https://ideas-productivity.org/resources/howtos/}},
23102  year          = {2016}
23103}
23104
23105@Misc{            ideas-productivity:website,
23106  title         = {{IDEAS Scientific Software Productivity Project}},
23107  key           = {IDEAS Scientific Software Productivity Project},
23108  howpublished  = {\url{https://ideas-productivity.org}}
23109}
23110
23111@Misc{            ecp:website,
23112  key           = {{U.S. DOE Exascale Computing Project (ECP)}},
23113  title         = {{U.S. DOE Exascale Computing Project (ECP)}},
23114  note          = {\url{https://exascaleproject.org}},
23115  year          = {2018}
23116}
23117
23118@Misc{            siam-cse-jan2018,
23119  author        = {Ulrich R\"{u}de and Karen Willcox and Lois Curfman McInnes and Hans {De Sterck}
23120                  and George Biros and Hans Bungartz and James Corones and Evin Cramer and James
23121                  Crowley and Omar Ghattas and Max Gunzburger and Michael Hanke and Robert Harrison
23122                  and Michael Heroux and Jan Hesthaven and Peter Jimack and Chris Johnson and Kirk
23123                  E. Jordan and David E. Keyes and Rolf Krause and Vipin Kumar and Stefan Mayer and
23124                  Juan Meza and Knut Martin M{\o}rken and J. Tinsley Oden and Linda Petzold and
23125                  Padma Raghavan and Suzanne M. Shontz and Anne Trefethen and Peter Turner and
23126                  Vladimir Voevodin and Barbara Wohlmuth and Carol S. Woodward},
23127  title         = {Research and Education in Computational Science and Engineering},
23128  note          = {available via \url{https://arxiv.org/abs/1610.02608}, to appear in {\em SIAM
23129                  Review}},
23130  year          = {2018}
23131}
23132
23133@Misc{            doe-appliedmathpimeeting2017,
23134  author        = {Jeff Hittinger and Lois Curfman McInnes and Abani Patra and Nathan Baker and
23135                  Miranda Holmes-Cerfon and Barney Maccabe and Esmong Ng and Pieter Swart and Karen
23136                  Willcox and Steven Lee},
23137  title         = {{Report on the 2017 ASCR Applied Mathematics Principal Investigators Meeting}},
23138  note          = {\url{http://www.orau.gov/ascr-appliedmath-pi2017}},
23139  year          = {2017}
23140}
23141
23142@Misc{            doe-fusionintegratedsimulationsworkshopreport2015,
23143  author        = {P. Bonoli and L. C. {McInnes (Chairs)}},
23144  title         = {{Report on the DOE Workshop on Integrated Simulations for Magnetic Fusion Energy
23145                  Sciences}},
23146  note          = {available via
23147                  \url{http://science.energy.gov/~/media/fes/pdf/workshop-reports/2016/ISFusionWorkshopReport_11-12-2015.pdf}},
23148  year          = {2015}
23149}
23150
23151@Misc{            sisc-specialissueintro,
23152  title         = {Introduction to {SISC} Special section associated with {CSE15} on {'CSE
23153                  Software'} and {'Big Data in CSE'}},
23154  author        = {H. {De Sterck} and C. Johnson and L.C. McInnes},
23155  month         = nov,
23156  year          = {2016},
23157  journal       = {SIAM J. Sci. Comput.},
23158  doi           = {10.1137/16N974188}
23159}
23160
23161@Article{         xsdk-foundations2017,
23162  title         = {{xSDK} Foundations: Toward an Extreme-scale Scientific Software Development Kit},
23163  author        = {R. Bartlett and I. Demeshko and T. Gamblin and G. Hammond and M. Heroux and J.
23164                  Johnson and A. Klinvex and X. Li and L.C. McInnes and J.D. Moulton and D.
23165                  Osei-Kuffuor and J. Sarich and B. Smith and J. Willenbring and U.M. Yang},
23166  journal       = {Supercomputing Frontiers and Innovations},
23167  month         = feb,
23168  year          = {2017},
23169  note          = {available via \url{https://arxiv.org/abs/1702.08425}}
23170}
23171
23172@Misc{            openfoam:website,
23173  title         = {{OpenFOAM}},
23174  author        = {OpenFOAM Team},
23175  key           = {OpenFOAM},
23176  howpublished  = {\url{https://openfoam.com}}
23177}
23178
23179@Misc{            mfem:website,
23180  title         = {{MFEM}},
23181  author        = {Tzanio Kolev and MFEM Team},
23182  key           = {MFEM},
23183  howpublished  = {\url{https://mfem.org}}
23184}
23185
23186@Misc{            deal.ii:website,
23187  title         = {{{deal.II}: An open-source finite element library}},
23188  author        = {Wolfgang Bangerth and Deal.II Team},
23189  howpublished  = {\url{http://www.dealii.org}},
23190  year          = {2018}
23191}
23192
23193@Misc{            ibamr:website,
23194  title         = {{{IBAMR}: Immersed Boundary Method Adaptive Mesh Refinement Software Infrastructure}},
23195  author        = {Boyce Griffith and IBAMR Team},
23196  howpublished  = {\url{https://ibamr.github.io/}},
23197  year          = {2023}
23198}
23199
23200@Misc{            fission-gas-scidac:website,
23201  title         = {{Simulation of Fission Gas in Uranium Oxide Nuclear Fuel}},
23202  author        = {A. David {Andersson (PI)}},
23203  howpublished  = {SciDAC project, \url{https://collab.cels.anl.gov/display/FissionGasSciDAC2}},
23204  year          = {2018}
23205}
23206
23207@Misc{            tokamak-disruption-scidac:project,
23208  title         = {{Tokamak Disruption Simulation}},
23209  author        = {Xianzhu {Tang (PI)}},
23210  howpublished  = {SciDAC project},
23211  year          = {2018}
23212}
23213
23214@InProceedings{   duplyakin2018memory,
23215  title         = {Evaluating Active Learning with Cost and Memory Awareness},
23216  author        = {Duplyakin, Dmitry and Brown, Jed and Calhoun, Donna},
23217  booktitle     = {2018 IEEE International Parallel and Distributed Processing Symposium (IPDPS)},
23218  pages         = {214--223},
23219  year          = {2018},
23220  organization  = {IEEE},
23221  pdf           = {https://jedbrown.org/files/DuplyakinBrownCalhoun-ActiveLearningCostMemoryAware-2018.pdf}
23222}
23223
23224@InProceedings{   duplyakin2016active,
23225  author        = {Dmitry Duplyakin and Jed Brown and Robert Ricci},
23226  title         = {Active Learning in Performance Analysis},
23227  booktitle     = {Proceedings of the IEEE Cluster Conference},
23228  year          = {2016},
23229  month         = sep,
23230  url           = {http://www.flux.utah.edu/paper/duplyakin-cluster16},
23231  pdf           = {https://jedbrown.org/files/DuplyakinBrownRicci-ActiveLearningPerformanceAnalysis-2016.pdf}
23232}
23233
23234@Misc{            xgc1:website,
23235  title         = {{XGC1 project website}},
23236  author        = {C. S. Chang and others},
23237  howpublished  = {\url{https://epsi.pppl.gov/computing/xgc-1}},
23238  year          = {2018}
23239}
23240
23241@Misc{            wdmapp-bhattacharjee-ecp:website,
23242  title         = {{WDMApp: High-Fidelity Whole Device Modeling of Magnetically Confined Fusion
23243                  Plasmas}},
23244  author        = {A. Bhattacharjee and others},
23245  note          = {ECP application project},
23246  howpublished  = {\url{https://www.exascaleproject.org/activity/energy-applications}},
23247  year          = {2018}
23248}
23249
23250@Misc{            subsurface-steefel-ecp:website,
23251  title         = {{Subsurface: Exascale Subsurface Simulator of Coupled Flow, Transport, Reactions,
23252                  and Mechanics}},
23253  note          = {ECP application project},
23254  author        = {C. Steefel and others},
23255  howpublished  = {\url{https://www.exascaleproject.org/activity/earth-space-science-applications}},
23256  year          = {2018}
23257}
23258
23259@Article{         chombo-crunch:2014,
23260  title         = {High-Resolution Simulation of Pore-Scale Reactive Transport Processes Associated
23261                  with Carbon Sequestration},
23262  author        = {D. Trebotich and M. F. Adams and S. Molins and C. Steefel and C. Shen},
23263  journal       = {Computing in Science and Engineering},
23264  volume        = {16},
23265  issue         = {6},
23266  year          = {2014},
23267  pages         = {22--31},
23268  doi           = {10.1109/MCSE.2014.77}
23269}
23270
23271@Article{         courantfriedrichslewy1967,
23272  title         = {On the partial difference equations of mathematical physics},
23273  author        = {Richard Courant and Kurt Friedrichs and Hans Lewy},
23274  journal       = {IBM journal of Research and Development},
23275  volume        = {11},
23276  number        = {2},
23277  pages         = {215--234},
23278  year          = {1967},
23279  publisher     = {IBM}
23280}
23281
23282@Article{         erway2017solving,
23283  title         = {On solving large-scale limited-memory quasi-Newton equations},
23284  author        = {Erway, Jennifer B and Marcia, Roummel F},
23285  journal       = {Linear Algebra and its Applications},
23286  volume        = {515},
23287  pages         = {196--225},
23288  year          = {2017},
23289  publisher     = {Elsevier}
23290}
23291
23292@Article{         griewank2012broyden,
23293  title         = {Broyden updating, the good and the bad!},
23294  author        = {Griewank, Andreas},
23295  journal       = {Optimization Stories, Documenta Mathematica. Extra Volume: Optimization Stories},
23296  pages         = {301--315},
23297  year          = {2012}
23298}
23299
23300@Book{            tarantola2005,
23301  title         = {Inverse problem theory and methods for model parameter estimation},
23302  author        = {Albert Tarantola},
23303  volume        = {89},
23304  year          = {2005},
23305  publisher     = {SIAM}
23306}
23307
23308@Article{         rutkaikristof2010,
23309  title         = {Dynamic Monte Carlo simulation in mixtures},
23310  author        = {G{\'a}bor Rutkai and Tam{\'a}s Krist{\'o}f},
23311  journal       = {The Journal of Chemical Physics},
23312  volume        = {132},
23313  number        = {10},
23314  pages         = {104107},
23315  year          = {2010},
23316  publisher     = {AIP}
23317}
23318
23319@Book{            vogel2002,
23320  title         = {Computational methods for inverse problems},
23321  author        = {Curtis R Vogel},
23322  volume        = {23},
23323  year          = {2002},
23324  publisher     = {SIAM}
23325}
23326
23327@Article{         malqvistpeterseim2014,
23328  title         = {Localization of elliptic multiscale problems},
23329  author        = {Axel M{\aa}lqvist and Daniel Peterseim},
23330  journal       = {Mathematics of Computation},
23331  volume        = {83},
23332  number        = {290},
23333  pages         = {2583--2603},
23334  year          = {2014}
23335}
23336
23337@Article{         brandtbrannickkahllivshits2011,
23338  title         = {Bootstrap {AMG}},
23339  author        = {Achi Brandt and James Brannick and Karsten Kahl and Irene Livshits},
23340  journal       = {SIAM Journal on Scientific Computing},
23341  volume        = {33},
23342  number        = {2},
23343  pages         = {612--632},
23344  year          = {2011}
23345}
23346
23347@InProceedings{   barralalauzet2014,
23348  title         = {Large displacement body-fitted {FSI} simulations using a mesh-connectivity-change
23349                  moving mesh strategy},
23350  author        = {Nicolas Barral and Fr{\'e}d{\'e}ric Alauzet},
23351  booktitle     = {44th AIAA Fluid Dynamics Conference},
23352  pages         = {2773},
23353  year          = {2014}
23354}
23355
23356@InProceedings{   barralalauzetloseille2015,
23357  title         = {Metric-based anisotropic mesh adaptation for three-dimensional time-dependent
23358                  problems involving moving geometries},
23359  author        = {Nicolas Barral and Fr{\'e}d{\'e}ric Alauzet and Adrien Loseille},
23360  booktitle     = {53rd AIAA Aerospace Sciences Meeting},
23361  pages         = {2039},
23362  year          = {2015}
23363}
23364
23365@Article{         barralolivieralauzet2017,
23366  title         = {Time-accurate anisotropic mesh adaptation for three-dimensional time-dependent
23367                  problems with body-fitted moving geometries},
23368  author        = {Nicolas Barral and G{\'e}raldine Olivier and Fr{\'e}d{\'e}ric Alauzet},
23369  journal       = {Journal of Computational Physics},
23370  volume        = {331},
23371  pages         = {157--187},
23372  year          = {2017}
23373}
23374
23375@Article{         ibanezbarralkrakosloseillemichalpark2017,
23376  title         = {First Benchmark of the Unstructured Grid Adaptation Working Group},
23377  author        = {Daniel Ibanez and Nicolas Barral and Joshua Krakos and Adrien Loseille and Todd
23378                  Michal and Mike Park},
23379  journal       = {Procedia engineering},
23380  volume        = {203},
23381  pages         = {154--166},
23382  year          = {2017}
23383}
23384
23385@InProceedings{   parkbarralibanezkamenetskiykrakosmichalloseille2018,
23386  title         = {Unstructured Grid Adaptation and Solver Technology for Turbulent Flows},
23387  author        = {Michael A Park and Nicolas Barral and Daniel Ibanez and Dmitry S Kamenetskiy and
23388                  Joshua A Krakos and Todd R Michal and Adrien Loseille},
23389  booktitle     = {2018 AIAA Aerospace Sciences Meeting},
23390  pages         = {1103},
23391  year          = {2018}
23392}
23393
23394@InProceedings{   barralangeloudiskramergormanpiggott2018,
23395  title         = {An anisotropic mesh adaptation approach for regional tidal energy hydrodynamics
23396                  modelling},
23397  author        = {Nicolas Barral and Athanasios Angeloudis and Stephan C Kramer and Gerard J Gorman
23398                  and Matthew D Piggott},
23399  booktitle     = {EGU General Assembly Conference Abstracts},
23400  volume        = {20},
23401  pages         = {19168},
23402  year          = {2018}
23403}
23404
23405@Article{         principe2009,
23406  title         = {{Mathematical models for thermally coupled low speed flows}},
23407  author        = {Javier Principe and Ramon Codina},
23408  journal       = {Advances in Theoretical and Applied Mechanics},
23409  volume        = {2},
23410  number        = {1-4},
23411  pages         = {93--112},
23412  url           = {http://www.m-hikari.com/atam/atam2009/atam1-4-2009/principeATAM1-4-2009.pdf},
23413  year          = {2009}
23414}
23415
23416@Book{            vandervorst2003,
23417  title         = {Iterative {K}rylov Methods for Large Linear Systems},
23418  author        = {van der Vorst, H.},
23419  isbn          = {9780521818285},
23420  publisher     = {Cambridge University Press},
23421  year          = {2003}
23422}
23423
23424@Book{            peres2006,
23425  author        = {Asher Peres},
23426  title         = {Quantum theory: concepts and methods},
23427  volume        = {57},
23428  publisher     = {Springer Science \& Business Media},
23429  year          = {2006}
23430}
23431
23432@Book{            kuttler2012,
23433  title         = {Linear algebra: theory and applications},
23434  author        = {Kenneth Kuttler},
23435  url           = {http://www.math.byu.edu/~klkuttle/Linearalgebra.pdf},
23436  year          = {2012}
23437}
23438
23439@Book{            elman_silvester_wathen_2014,
23440  place         = {Oxford},
23441  title         = {Finite elements and fast iterative solvers: with applications in incompressible
23442                  fluid dynamics},
23443  publisher     = {Oxford University Press},
23444  author        = {Elman, Howard C. and Silvester, David J. and Wathen, Andrew J.},
23445  url           = {https://global.oup.com/academic/product/finite-elements-and-fast-iterative-solvers-9780199678792?cc=us&lang=en&},
23446  year          = {2014}
23447}
23448
23449@Article{         alametal2007,
23450  title         = {An evaluation of the ORNL Cray XT3},
23451  author        = {S. R. Alam and R. F. Barrett and M. R. Fahey and J. A. Kuehn and O. E. B. Messer
23452                  and R. T. Mills and P. C. Roth and J. S. Vetter and P. H. Worley},
23453  journal       = {International Journal of High Performance Computing Applications},
23454  volume        = {22},
23455  number        = {1},
23456  pages         = {52--80},
23457  doi           = {10.1177/1094342007085019},
23458  year          = {2007}
23459}
23460
23461@Article{         plazacarey2000,
23462  title         = {Local refinement of simplicial grids based on the skeleton},
23463  author        = {Plaza, A. and Carey, Graham F.},
23464  journal       = {Applied Numerical Mathematics},
23465  doi           = {10.1016/S0168-9274(99)00022-7},
23466  issn          = {01689274},
23467  volume        = {32},
23468  number        = {2},
23469  pages         = {195--218},
23470  year          = {2000}
23471}
23472
23473@Article{         carsonstrakos2020,
23474  title         = {On the cost of iterative computations},
23475  author        = {Eric Carson and Zden\v{e}k Strako\v{s}},
23476  journal       = {Phil. Trans. R. Soc. A},
23477  volume        = {378},
23478  number        = {20190050},
23479  doi           = {10.1098/rsta.2019.0050},
23480  url           = {https://royalsocietypublishing.org/doi/full/10.1098/rsta.2019.0050},
23481  year          = {2020}
23482}
23483
23484@Article{         schoberl1999,
23485  title         = {Multigrid methods for a parameter dependent problem in primal variables},
23486  author        = {Joachim Sch{\"o}berl},
23487  journal       = {Numerische Mathematik},
23488  volume        = {84},
23489  number        = {1},
23490  pages         = {97--119},
23491  year          = {1999}
23492}
23493
23494@Article{         wuleexuzikatanov2008,
23495  title         = {Convergence analysis on iterative methods for semidefinite systems},
23496  author        = {Jinbiao Wu and Young-Ju Lee and Jinchao Xu and Ludmil Zikatanov},
23497  journal       = {Journal of Computational Mathematics},
23498  pages         = {797--815},
23499  year          = {2008}
23500}
23501
23502@Article{         maierrannacher2016,
23503  title         = {Duality-based adaptivity in finite element discretization of heterogeneous
23504                  multiscale problems},
23505  author        = {Maier, Matthias and Rannacher, Rolf},
23506  journal       = {Journal of Numerical Mathematics},
23507  volume        = {24},
23508  number        = {3},
23509  pages         = {167--187},
23510  year          = {2016}
23511}
23512
23513@Article{         maierrannacher2018,
23514  title         = {A duality-based optimization approach for model adaptivity in heterogeneous
23515                  multiscale problems},
23516  author        = {Maier, Matthias and Rannacher, Rolf},
23517  journal       = {Multiscale Modeling \& Simulation},
23518  volume        = {16},
23519  number        = {1},
23520  pages         = {412--428},
23521  year          = {2018}
23522}
23523
23524@Article{         margetismaierluskin2017,
23525  title         = {On the Wiener--Hopf method for surface plasmons: Diffraction from semiinfinite
23526                  metamaterial sheet},
23527  author        = {Margetis, Dionisios and Maier, Matthias and Luskin, Mitchell},
23528  journal       = {Studies in Applied Mathematics},
23529  volume        = {139},
23530  number        = {4},
23531  pages         = {599--625},
23532  year          = {2017}
23533}
23534
23535@Article{         maiermargetisluskin2017b,
23536  title         = {Dipole excitation of surface plasmon on a conducting sheet: Finite element
23537                  approximation and validation},
23538  author        = {Maier, Matthias and Margetis, Dionisios and Luskin, Mitchell},
23539  journal       = {Journal of Computational Physics},
23540  volume        = {339},
23541  pages         = {126--145},
23542  year          = {2017}
23543}
23544
23545@Article{         maiermargetisluskin2018,
23546  title         = {Generation of surface plasmon-polaritons by edge effects},
23547  author        = {Matthias Maier and Dionisios Margetis and Mitchell Luskin},
23548  journal       = {Communications in Mathematical Sciences},
23549  volume        = {16},
23550  number        = {1},
23551  pages         = {77--95},
23552  url           = {http://arxiv.org/abs/1702.00848},
23553  year          = {2018}
23554}
23555
23556@Article{         maiermattheakiskaxirasluskinmargetis2018,
23557  title         = {Universal behavior of a dispersive Dirac cone in gradient-index plasmonic
23558                  metamaterials},
23559  author        = {Maier, Matthias and Mattheakis, Marios and Kaxiras, Efthimios and Luskin,
23560                  Mitchell and Margetis, Dionisios},
23561  journal       = {Physical Review B},
23562  volume        = {97},
23563  number        = {3},
23564  pages         = {035307},
23565  year          = {2018}
23566}
23567
23568@Article{         maiermattheakiskaxirasluskinmargetis2019,
23569  title         = {Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect},
23570  author        = {Maier, Matthias and Mattheakis, Marios and Kaxiras, Efthimios and Luskin,
23571                  Mitchell and Margetis, Dionisios},
23572  journal       = {Proceedings of the Royal Society A},
23573  volume        = {475},
23574  number        = {2230},
23575  pages         = {20190220},
23576  year          = {2019}
23577}
23578
23579@Article{         maiermargetisluskin2020,
23580  title         = {Finite-size effects in wave transmission through plasmonic crystals: A tale of
23581                  two scales},
23582  author        = {Maier, Matthias and Luskin, Mitchell and Margetis, Dionisios},
23583  journal       = {Physical Review B},
23584  volume        = {102},
23585  number        = {7},
23586  pages         = {075308},
23587  year          = {2020}
23588}
23589
23590@Article{         margetismaierstauberlowluskin2020,
23591  title         = {Nonretarded edge plasmon-polaritons in anisotropic two-dimensional materials},
23592  author        = {Margetis, Dionisios and Maier, Matthias and Stauber, Tobias and Low, Tony and
23593                  Luskin, Mitchell},
23594  journal       = {Journal of Physics A: Mathematical and Theoretical},
23595  volume        = {53},
23596  number        = {5},
23597  pages         = {055201},
23598  year          = {2020}
23599}
23600
23601@Article{         maiermargetismellet2020,
23602  title         = {Homogenization of time-harmonic Maxwell’s equations in nonhomogeneous plasmonic
23603                  structures},
23604  author        = {Maier, Matthias and Margetis, Dionisios and Mellet, Antoine},
23605  journal       = {Journal of Computational and Applied Mathematics},
23606  volume        = {377},
23607  pages         = {112909},
23608  year          = {2020}
23609}
23610
23611@Article{         maierkronbichler2021,
23612  title         = {Efficient parallel 3D computation of the compressible Euler equations with an
23613                  invariant-domain preserving second-order finite-element scheme},
23614  author        = {Maier, Matthias and Kronbichler, Martin},
23615  journal       = {ACM Transactions on Parallel Computing},
23616  volume        = {8},
23617  number        = {3},
23618  pages         = {1--30},
23619  year          = {2021}
23620}
23621
23622@Article{         guermondmaierpopovtomas2021,
23623  title         = {Second-order invariant domain preserving approximation of the compressible
23624                  Navier--Stokes equations},
23625  author        = {Guermond, Jean-Luc and Maier, Matthias and Popov, Bojan and Tomas, Ignacio},
23626  journal       = {Computer Methods in Applied Mechanics and Engineering},
23627  volume        = {375},
23628  pages         = {113608},
23629  year          = {2021}
23630}
23631
23632@Article{         liliptonmaier2021,
23633  title         = {Lorentz Resonance in the Homogenization of Plasmonic Crystals},
23634  author        = {Li, Wei and Lipton, Robert and Maier, Matthias},
23635  eprint        = {2009.12166},
23636  archiveprefix = {arXiv},
23637  primaryclass  = {phys.optics},
23638  year          = {2021}
23639}
23640
23641@Article{         songmaierluskin2020,
23642  title         = {Nonlinear eigenvalue problems for coupled Helmholtz equations modeling
23643                  gradient-index graphene waveguides},
23644  author        = {Song, Jung Heon and Maier, Matthias and Luskin, Mitchell},
23645  journal       = {Journal of Computational Physics},
23646  volume        = {423},
23647  pages         = {109871},
23648  year          = {2020}
23649}
23650
23651@Article{         songmaierluskin2019,
23652  title         = {Adaptive finite element simulations of waveguide configurations involving
23653                  parallel 2D material sheets},
23654  author        = {Song, Jung Heon and Maier, Matthias and Luskin, Mitchell},
23655  journal       = {Computer Methods in Applied Mechanics and Engineering},
23656  volume        = {351},
23657  pages         = {20--34},
23658  year          = {2019}
23659}
23660
23661%
23662%  <a name="consults"></a><H3><center>Users Who have Visited ANL for Consulting on PETSc</center></H3>
23663%
23664%
23665@Unpublished{     rob1,
23666  author        = {Rob Kunz},
23667  institution   = {Computational Mechanics Division, Applied Research Laboratory, The Pennsylvania
23668                  State University},
23669  url           = {http://www.arl.psu.edu/areas/compmech/compmech.html},
23670  sponsors      = {U.S. Navy, NRC},
23671  note          = {Using the PETSc and hypre linear solvers to solve pressure equations in CFD
23672                  simulations, including lake warming by power plants},
23673  dates         = {Oct 3 and 4, 2002},
23674  email         = {rfk@wt.arl.psu.edu}
23675}
23676
23677@Unpublished{     au1,
23678  author        = {Feng Wang and William Appelbe},
23679  institution   = {VPAC, Victorian Partnership for Advanced Computing, Melbourne, Australia},
23680  url           = {http://www.vpac.org},
23681  sponsors      = { },
23682  note          = {Using PETSc for a Variety of Geophysical Simulations},
23683  dates         = {Nov 22, 2002}
23684}
23685
23686@Unpublished{     carl1,
23687  author        = {Carl Sovinec},
23688  institution   = {Applied Physics, University of Wisconsin},
23689  url           = {http://nimrodteam.org},
23690  sponsors      = {DOE Office of Fusion Research},
23691  note          = {Investigating using PETSc for NIMROD},
23692  dates         = {Nov 21, 2002},
23693  email         = {sovinec@engr.wisc.edu}
23694}
23695
23696@Unpublished{     au1b,
23697  author        = {Pablo Carrica and Robert Wilson},
23698  institution   = {INSTITUTE HYDRAULIC RESEARCH, University of Iowa},
23699  url           = {http://},
23700  sponsors      = {Office of Naval Research},
23701  note          = {Using PETSc for a hydrodynamics of ships and submarines},
23702  dates         = {Sept, 2002},
23703  email         = {pablo-carrica@uiowa.edu and robert-wilson@uiowa.edu}
23704}
23705
23706% ------------------- TAO References ----------------------
23707@Article{         benson:2001:csp,
23708  author        = {Steven J. Benson and Lois Curfman McInnes and Jorge J. More'},
23709  title         = {A Case Study in the Performance and Scalability of Optimization Algorithms},
23710  journal       = {{ACM} Transactions on Mathematical Software},
23711  volume        = {27},
23712  number        = {3},
23713  month         = sep,
23714  year          = {2001},
23715  pages         = {361--376}
23716}
23717
23718@TechReport{      tao-user-ref-2000,
23719  author        = {Steve Benson and Lois Curfman McInnes and Jorge Mor\'{e}},
23720  title         = {{TAO} Users Manual},
23721  year          = {2000},
23722  institution   = {Mathematics and Computer Science Division, Argonne National Laboratory},
23723  number        = {ANL/MCS-TM-242},
23724  note          = {See \url{http://www.mcs.anl.gov/tao}}
23725}
23726
23727% ------------------- Optimization References ----------------------
23728@Book{            optguide93,
23729  title         = {Optimization Software Guide},
23730  author        = {Jorge J. Mor\'{e} and Stephen J. Wright},
23731  publisher     = {SIAM Publications},
23732  address       = {Philadelphia},
23733  year          = {1993}
23734}
23735
23736@InProceedings{   more84,
23737  author        = {Jorge J. Mor\'{e} and Danny C. Sorenson and Burton S. Garbow and Kenneth E.
23738                  Hillstrom},
23739  title         = {The {MINPACK} Project},
23740  booktitle     = {Sources and Development of Mathematical Software},
23741  editor        = {Wayne R. Cowell},
23742  year          = {1984},
23743  pages         = {88--111}
23744}
23745
23746@Article{         steihaug:83,
23747  author        = {Trond Steihaug},
23748  title         = {The Conjugate Gradient Method and Trust Regions in Large Scale Optimization},
23749  journal       = {SIAM J. Numer. Anal.},
23750  volume        = {20},
23751  year          = {1983},
23752  pages         = {626--637},
23753  key           = {steihaug92 ! trust_region}
23754}
23755
23756@TechReport{      minpack2test,
23757  author        = {Brett M. Averick and Richard G. Carter and Jorge J. Mor\'{e}},
23758  title         = {The {MINPACK-2} Test Problem Collection},
23759  institution   = {Argonne National Laboratory},
23760  year          = {1991},
23761  number        = {ANL/MCS-TM-150},
23762  key           = {more91 ! MINPACK-2}
23763}
23764
23765@TechReport{      hohmann:94,
23766  author        = {Andreas Hohmann},
23767  title         = {Object Oriented Design of Multilevel {N}ewton and Continuation Methods},
23768  institution   = {Konrad-Zuse-Zentrum fur Informationstechnik Berlin},
23769  year          = {1994},
23770  number        = {SC-94-4},
23771  key           = {Hohmann94}
23772}
23773
23774@TechReport{      meza:94,
23775  author        = {Juan C. Meza},
23776  title         = {{OPT}++: An Object-Oriented Class Library for Nonlinear Optimization},
23777  institution   = {Sandia National Laboratory},
23778  year          = {1994},
23779  number        = {SAND94-8225},
23780  key           = {Meza94}
23781}
23782
23783@Book{            dennis:83,
23784  author        = {J. E. {Dennis Jr.} and Robert B. Schnabel},
23785  title         = {Numerical Methods for Unconstrained Optimization and Nonlinear Equations},
23786  publisher     = {Prentice-Hall, Inc.},
23787  address       = {Englewood Cliffs, NJ},
23788  year          = {1983}
23789}
23790
23791@TechReport{      more:92,
23792  author        = {Jorge J. Mor\'{e} and David Thuente},
23793  title         = {Line search algorithms with guaranteed sufficient decrease},
23794  institution   = {Mathematics and Computer Science Division, Argonne National Laboratory},
23795  year          = {1992},
23796  number        = {MCS-P330-1092}
23797}
23798
23799@Article{         more-toraldo,
23800  author        = {Jorge J. Mor\'e and G. Toraldo},
23801  journal       = {SIOPT},
23802  pages         = {93--113},
23803  title         = {On the solution of large quadratic programming problems with bound constraints},
23804  volume        = {1},
23805  year          = {1991}
23806}
23807
23808@Article{         byrd:1995:lma,
23809  author        = {Richard H. Byrd and Peihuang Lu and Jorge Nocedal and Ci You Zhu},
23810  title         = {A Limited Memory Algorithm for Bound Constrained Optimization},
23811  journal       = {SIAM Journal on Scientific Computing},
23812  volume        = {16},
23813  number        = {5},
23814  pages         = {1190--1208},
23815  month         = sep,
23816  year          = {1995},
23817  coden         = {SJOCE3},
23818  issn          = {1064-8275 (print), 1095-7197 (electronic)},
23819  mrclass       = {90C30 (65K05)},
23820  mrnumber      = {96e:90039},
23821  mrreviewer    = {Henry Wolkowicz},
23822  bibdate       = {Fri Dec 4 16:17:35 MST 1998}
23823}
23824
23825@Article{         lin_c3,
23826  author        = {C.-J. Lin and J. J. Mor\'e},
23827  title         = {Newton's method for large bound-constrained optimization problems},
23828  year          = {1999},
23829  journal       = {SIOPT},
23830  volume        = {9(4)},
23831  pages         = {1100--1127},
23832  url           = {http://www.mcs.anl.gov/home/more/papers/nb.ps.gz}
23833}
23834
23835@TechReport{      dolan2,
23836  author        = {E. Dolan and J. J. Mor\'{e}},
23837  title         = {Benchmarking Optimization Software with Performance Profiles},
23838  year          = {2001},
23839  month         = jan,
23840  number        = {ANL/MCS-P861-1200},
23841  institution   = {Mathematics and Computer Science Division, Argonne National Laboratory},
23842  address       = {Argonne, IL},
23843  url           = {http://www.mcs.anl.gov/~more/cops/}
23844}
23845
23846@InProceedings{   owlqn,
23847  author        = {Galen Andrew and Jianfeng Gao},
23848  title         = {Scalable training of L1-regularized log-linear models},
23849  booktitle     = {Proceedings of the 24th international conference on Machine learning (ICML)},
23850  pages         = {33--40},
23851  year          = {2007}
23852}
23853
23854@Article{         bmrm,
23855  author        = {Choon Hue Teo and S.V.N. Vishwanathan and Alex J. Smola and Quoc V. Le},
23856  title         = {Bundle methods for regularized risk minimization},
23857  year          = {2010},
23858  journal       = {Journal of Machine Learning Research},
23859  volume        = {11},
23860  pages         = {311--365}
23861}
23862
23863% ------------------- Component Software References ----------------------
23864@InProceedings{   cca99,
23865  author        = {R. Armstrong and D. Gannon and A. Geist and K. Keahey and S. Kohn and L. C.
23866                  McInnes and S. Parker and B. Smolinski},
23867  title         = {Toward a Common Component Architecture for High-Performance Scientific
23868                  Computing},
23869  booktitle     = {Proceedings of {High Performance Distributed Computing}},
23870  pages         = {115--124},
23871  year          = {1999},
23872  note          = {See \url{http://cca-forum.org}}
23873}
23874
23875@Book{            szyperski98,
23876  author        = {Clemens Szyperski},
23877  title         = {Component Software: Beyond Object-Oriented Programming},
23878  publisher     = {ACM Press},
23879  address       = {New York},
23880  year          = {1998}
23881}
23882
23883@Article{         broy98,
23884  author        = {Manfred Broy and Anton Deimel and Juergen Henn and Kai Koskimies and
23885                  Franti\v{s}ek Pl\'{a}\v{s}il and Gustave Pomberger and Wolfgang Pree and Michael
23886                  Stal and Clemens Szyperski},
23887  title         = {What Characterizes a (Software) Component?},
23888  journal       = {Software -- Concepts and Tools},
23889  publisher     = {Springer-Verlag},
23890  year          = {1998},
23891  volume        = {19},
23892  pages         = {49--56}
23893}
23894
23895@Article{         componentware:94,
23896  author        = {Jon Udell},
23897  title         = {Componentware},
23898  journal       = {Byte},
23899  volume        = {may},
23900  pages         = {46--56},
23901  year          = {1994},
23902  key           = {Udell94 ! componentware}
23903}
23904
23905@Misc{            cca-web-page,
23906  author        = {{Common Component Architecture Forum}},
23907  note          = {See \url{http://cca-forum.org}}
23908}
23909
23910% --------------- References for Tools Used by TAO Developers -----------------
23911
23912%
23913% tohtml: Used to generate on-line TAO users manual and manual pages
23914%
23915@TechReport{      tohtml,
23916  author        = {William Gropp},
23917  title         = {Users Manual for tohtml: Producing true hypertext documents from {LaTeX}},
23918  institution   = {Argonne National Laboratory},
23919  number        = {ANL/MCS-TM-00},
23920  month         = jan,
23921  year          = {1995},
23922  key           = {tohtml}
23923}
23924
23925%
23926% doctext: Used to generate tex version of TAO manual pages
23927%
23928@TechReport{      doctext,
23929  author        = {William Gropp},
23930  title         = {Users Manual for doctext: Producing documentation from {C} source code},
23931  institution   = {Argonne National Laboratory},
23932  number        = {ANL/MCS-TM-00},
23933  month         = jan,
23934  year          = {1995},
23935  key           = {doctext}
23936}
23937
23938%
23939% bfort: Used to generate TAO Fortran interface
23940%
23941@TechReport{      bfort,
23942  author        = {William Gropp},
23943  title         = {Users Manual for bfort: Producing {F}ortran interfaces to {C} source code},
23944  institution   = {Argonne National Laboratory},
23945  number        = {ANL/MCS-TM-208},
23946  month         = mar,
23947  year          = {1995},
23948  key           = {doctext}
23949}
23950
23951% ------------------------- PETSc References ------------------------------
23952@InProceedings{   petsc,
23953  author        = {Satish Balay and William D. Gropp and Lois Curfman McInnes and Barry F. Smith},
23954  title         = {Efficient Management of Parallelism in Object Oriented Numerical Software
23955                  Libraries},
23956  booktitle     = {Modern Software Tools in Scientific Computing},
23957  editor        = {E. Arge and A. M. Bruaset and H. P. Langtangen},
23958  publisher     = {Birkhauser Press},
23959  pages         = {163--202},
23960  year          = {1997}
23961}
23962
23963% ------------------------- Misc Other References ------------------------------
23964@Misc{            indeps-web-page,
23965  title         = {{InDEPS} {W}eb page},
23966  note          = {http://z.ca.sandia.gov/\~{ }indeps/},
23967  author        = {et al. Robert Armstrong},
23968  institution   = {Sandia National Laboratory},
23969  key           = {{InDEPS} {W}eb page}
23970}
23971
23972@Misc{            pooma,
23973  title         = {{POOMA}: {A} FrameWork for scientific computing applications on parallel ar
23974                  chitectures},
23975  year          = {1996},
23976  author        = {J. V. W. Reynders and J. C. Cummings and P. J. Hinker and M. Tholburn a nd M. S.
23977                  S. Banerjee and S. Karmesin and S. Atlas and K. Keahey and W. F. Humphr ey}
23978}
23979
23980@Misc{            isis++-web-page,
23981  title         = {{ISIS++} {W}eb Page},
23982  note          = {See \url{http://ca.sandia.gov/isis}},
23983  author        = {Robert L. Clay and Kyran Mish and Alan B. Williams},
23984  institution   = {Sandia National Laboratories}
23985}
23986
23987@Misc{            trilinos-web-page,
23988  title         = {{Trilinos} {W}eb Page},
23989  note          = {See
23990                  \url{http://www.cs.sandia.gov/\~mheroux/Trilinos/doc/TrilinosIntroduction.htm}},
23991  author        = {Mike Heroux et al.},
23992  institution   = {Sandia National Laboratories}
23993}
23994
23995@Misc{            alice-web-page,
23996  title         = {{ALICE} {W}eb page},
23997  note          = {http://www.mcs.anl.gov/\-alice, Mathematics and Computer Science Division,
23998                  Argonne National Laboratory},
23999  key           = {{ALICE} {W}eb page}
24000}
24001
24002@Misc{            autodiff-webpage,
24003  author        = {{Computational Differentiation Project}},
24004  note          = {See \url{http://www.mcs.anl.gov/autodiff}}
24005}
24006
24007@Misc{            coool-home-page,
24008  author        = {Lydia Deng and Wences Gouveia and John Scales},
24009  title         = {{The CWP Object-Oriented Optimization Library}},
24010  note          = {See \url{http://www.cwp.mines.edu/cwpcodes/coool}}
24011}
24012
24013@Misc{            rice-inversion-home-page,
24014  author        = {Mark S. Gokenbach and William W. Symes},
24015  title         = {{The Hilbert Class Library}},
24016  note          = {See \url{http://www.trip.caam.rice.edu/}}
24017}
24018
24019@Misc{            opt++-home-page,
24020  author        = {{OPT++: An Object-Oriented Nonlinear Optimization Library}},
24021  note          = {See \url{http://csmr.ca.sandia.gov/projects/opt/opt++.html}}
24022}
24023
24024@Article{         gockenbach:1999:ccl,
24025  author        = {Mark S. Gockenbach and Matthew J. Petro and William W. Symes},
24026  title         = {C++ Classes for Linking Optimization with Complex Simulations},
24027  journal       = {{ACM} Transactions on Mathematical Software},
24028  volume        = {25},
24029  number        = {2},
24030  month         = jun,
24031  year          = {1999},
24032  pages         = {191-212},
24033  abstract      = {The object-oriented programming paradigm can be used to overcome the
24034                  incompatibilities between off-the-shelf optimization software and application
24035                  software. The Hilbert Class Library (HCL) defines the fundamental mathematical
24036                  objects arising in optimization problems, such as vectors, linear operators, and
24037                  so forth, as C++ classes, making it possible to write optimization code in a
24038                  natural fashion, while allowing application software such as simulators to use the
24039                  most convenient data structures and programming style. In spite of the poor
24040                  reputation C++ has for runtime performance, the use of mixed-language programming
24041                  allows performance equal to that achieved by standard Fortran packages, as
24042                  comparisons with the popular code LBFGS and ARPACK demonstrate.},
24043  accepted      = {April 1999},
24044  url           = {http://www.acm.org/pubs/citations/journals/toms/1999-25-2/p191-gockenbach/}
24045}
24046
24047@Misc{            neos-guide,
24048  author        = {{The Optimization Software Guide}},
24049  note          = {See \url{http://www.mcs.anl.gov/otc/Guide/}}
24050}
24051
24052@Article{         boyd,
24053  title         = {Distributed optimization and statistical learning via the alternating direction
24054                  method of multipliers},
24055  author        = {Boyd, Stephen and Parikh, Neal and Chu, Eric and Peleato, Borja and Eckstein,
24056                  Jonathan and others},
24057  journal       = {Foundations and Trends{\textregistered} in Machine learning},
24058  volume        = {3},
24059  number        = {1},
24060  pages         = {1-122},
24061  year          = {2011},
24062  publisher     = {Now Publishers, Inc.}
24063}
24064
24065@Misc{            :alertsys,
24066  title         = {page{ALERT}},
24067  organization  = {Alert Systems, Inc},
24068  address       = {Madison, Wisconsin},
24069  note          = {http://www.alertsys.com/}
24070}
24071
24072@Manual{          :cmfortran,
24073  title         = {{CM} {F}ortran Language Reference Manual},
24074  organization  = {Thinking Machines Corporation},
24075  year          = {1994},
24076  address       = {Cambridge, MA}
24077}
24078
24079@Manual{          :cmmd,
24080  title         = {{CMMD} Reference Manual, Version 3.0},
24081  organization  = {Thinking Machines Corporation},
24082  year          = {1993},
24083  address       = {Cambridge, MA}
24084}
24085
24086@Manual{          :cmssl,
24087  title         = {{CMSSL} for {CM} {F}ortran},
24088  volume        = {I},
24089  organization  = {Thinking Machines Corporation},
24090  year          = {1994},
24091  address       = {Cambridge, MA}
24092}
24093
24094@Misc{            :condor,
24095  author        = {M. Livny},
24096  title         = {{PI}, The {Condor} Project, High Throughput Computing},
24097  howpublished  = {www.cs.wisc.edu/condor}
24098}
24099
24100@Manual{          :connection,
24101  title         = {Connection Machine {CM}--5 Technical Summary},
24102  organization  = {Thinking Machines Corporation},
24103  year          = {1993},
24104  address       = {Cambridge, MA}
24105}
24106
24107@Manual{          :cplex,
24108  title         = {{CPLEX} Optimizer},
24109  organization  = {ILOG CPLEX Division},
24110  address       = {889 Alder Avenue, Incline Village, Nevada},
24111  note          = {http://www.cplex.com/}
24112}
24113
24114@Manual{          :cplextm,
24115  title         = {Using the {CPLEX(TM)} Linear Optimizer and {CPLEX(TM)} Mixed Integer Optimizer
24116                  (Version 2.0)},
24117  organization  = {CPLEX Optimization Inc.},
24118  year          = {1992},
24119  address       = {Incline Village, Nevada}
24120}
24121
24122@Misc{            :fatcop,
24123  author        = {M. C. Ferris},
24124  title         = {{PI}, {FATCOP}: {A} Fault Tolerant {Condor} {PVM} Mixed Integer Programming
24125                  Solver},
24126  howpublished  = {www.cs.wisc.edu/math-prog/fatcop}
24127}
24128
24129@Misc{            :metaneos,
24130  author        = {S. J. Wright},
24131  title         = {{metaNEOS}: Metacomputing Environments for Optimization},
24132  howpublished  = {www-unix.mcs.anl.gov/metaneos}
24133}
24134
24135@InCollection{    gropp.more:optimization,
24136  author        = {W. Gropp and J. J. Mor\'e},
24137  title         = {Optimization environments and the {NEOS} Server},
24138  booktitle     = {Approximation Theory and Optimization},
24139  pages         = {167--182},
24140  publisher     = {Cambridge University Press},
24141  year          = {1997},
24142  editor        = {M. D. Buhmann and A. Iserles}
24143}
24144
24145@Article{         czyzyk.mesnier.ea:neos,
24146  author        = {J. Czyzyk and M. P. Mesnier and J. J. Mor\'e},
24147  title         = {The {NEOS} Server},
24148  journal       = {IEEE Journal on Computational Science and Engineering},
24149  volume        = {5},
24150  year          = {1998},
24151  pages         = {68--75}
24152}
24153
24154@Book{            :osl,
24155  title         = {Handbook for {IBM OSL}},
24156  author        = {M. S. Hung and W. O. Rom and A. D. Warren},
24157  year          = {1994},
24158  publisher     = {Boyd and Fraser},
24159  address       = {Danvers, Massachusetts}
24160}
24161
24162@Manual{          :pro-matlab,
24163  title         = {{PRO}--{MATLAB} User's Guide},
24164  organization  = {The MathWorks, Inc.},
24165  year          = {1989},
24166  address       = {21 Eliot Street, South Natick, MA 01760}
24167}
24168
24169@Misc{            :prostate,
24170  key           = {Biomedical},
24171  title         = {Biomedical Business International Newsletter},
24172  howpublished  = {pp. 72--75},
24173  year          = {1996}
24174}
24175
24176@Misc{            :sipcase,
24177  key           = {Natural},
24178  title         = {Natural Gas Planning: An Application of Stochastic Linear Programming},
24179  howpublished  = {http://www-fp.mcs.anl.gov/otc/Guide/CaseStudies/slp/index.html}
24180}
24181
24182@Book{            aarts.korst:simulated,
24183  author        = {E. Aarts and J. Korst},
24184  title         = {Simulated Annealing and Boltzman Machines},
24185  year          = {1990},
24186  publisher     = {John Wiley \& Sons},
24187  address       = {Chichester}
24188}
24189
24190@TechReport{      aarts.laarhoven.ea:local-search-based,
24191  author        = {E. H. L. Aarts and P. J. M. van Laarhoven and N. L. J. Ulder},
24192  title         = {Local-Search-Based Algorithms for Job Shop Scheduling},
24193  institution   = {Centre for Quantitative Methods},
24194  year          = {1991},
24195  address       = {Nederlandse Philips Bedrijven B.V., P.O. Box 218, NL-5600 MD Eindhoven},
24196  number        = {106},
24197  type          = {CQM-Not}
24198}
24199
24200@Article{         aashtiani.magnanti:equilibria,
24201  author        = {H. Z. Aashtiani and T. L. Magnanti},
24202  title         = {Equilibria on a congested transportation network},
24203  journal       = {SIAM Journal on Algebraic and Discrete Methods},
24204  volume        = {2},
24205  year          = {1981},
24206  pages         = {213--226}
24207}
24208
24209@Article{         ablow.brigham:analog,
24210  author        = {C. M. Ablow and G. Brigham},
24211  title         = {An Analog Solution of Programming Problems},
24212  journal       = {Operations Research},
24213  year          = {1955},
24214  volume        = {3},
24215  pages         = {388--394}
24216}
24217
24218@Article{         achuthan.grabowski.ea:optimal,
24219  author        = {N. R. Achuthan and J. Grabowski and J. B. Sidney},
24220  title         = {Optimal Flow--Shop Scheduling with Earliness and Tardiness Penalties},
24221  journal       = {Opsearch},
24222  year          = {1981},
24223  volume        = {18},
24224  pages         = {117--138}
24225}
24226
24227@Book{            adelman.robinson:income,
24228  author        = {I. Adelman and S. Robinson},
24229  title         = {Income Distribution Policy in Developing Countries},
24230  publisher     = {Stanford University Press},
24231  year          = {1978},
24232  address       = {Stanford, California}
24233}
24234
24235@Article{         adler.resende.ea:implementation,
24236  author        = {I. Adler and M. G. C. Resende and G. Veiga and N. K. Karmarkar},
24237  title         = {An Implementation of {K}armarkar's Algorithm for Linear Programming},
24238  journal       = {Mathematical Programming},
24239  year          = {1989},
24240  volume        = {44},
24241  pages         = {297--336}
24242}
24243
24244@TechReport{      aeberhard.coomans.ea:comparison,
24245  author        = {S. Aeberhard and D. Coomans and O. de Vel},
24246  title         = {Comparison of Classifiers in High Dimensional Settings},
24247  institution   = {Departments of Computer Science and of Mathematics and Statistics, James Cook
24248                  University of North Queensland},
24249  year          = {1992},
24250  number        = {92-02},
24251  type          = {Technical Report}
24252}
24253
24254@Article{         aganagic.cottle:constructive,
24255  author        = {M. Aganagi\'{c} and R. W. Cottle},
24256  title         = {A Constructive Characterization of ${Q}_0$ Matrices with Nonnegative Principal
24257                  Minors},
24258  journal       = {Mathematical Programming},
24259  year          = {1987},
24260  volume        = {37},
24261  pages         = {223--231}
24262}
24263
24264@TechReport{      aganagic:iterative,
24265  author        = {M. Aganagi\'{c}},
24266  title         = {Iterative Methods for the Linear Complementarity Problem},
24267  institution   = {Systems Optimization Laboratory, Department of Operations Research, Stanford
24268                  University},
24269  year          = {1978},
24270  type          = {SOL},
24271  number        = {78-10},
24272  address       = {Stanford, California}
24273}
24274
24275@Book{            ahlfors:complex,
24276  author        = {L. V. Ahlfors},
24277  title         = {Complex Analysis},
24278  publisher     = {McGraw--Hill Book Company},
24279  address       = {New York},
24280  series        = {International Series in Pure and Applied Mathematics},
24281  edition       = {Second},
24282  year          = {1966}
24283}
24284
24285@Article{         ahn:solution,
24286  author        = {B--H. Ahn},
24287  title         = {Solution of Non--Symmetric Linear Complementarity Problems by Iterative Methods},
24288  journal       = {Journal of Optimization Theory and Applications},
24289  year          = {1981},
24290  volume        = {33},
24291  pages         = {175--185}
24292}
24293
24294@Article{         al-fahed.stavroulakis.ea:hard,
24295  author        = {A. M. Al-Fahed and G. E. Stavroulakis and P. D. Panagiotopoulos},
24296  title         = {Hard and soft fingered robot grippers. The linear complementarity approach},
24297  journal       = {Zeitschrift f{\"{u}}r Angewandte Mathematik und Mechanik},
24298  volume        = {71},
24299  year          = {1991},
24300  pages         = {257--265}
24301}
24302
24303@Article{         al-fahed.stavroulakis.ea:linear,
24304  author        = {A. M. Al-Fahed and G. E. Stavroulakis and P. D. Panagiotopoulos},
24305  title         = {A linear complementarity approach to the frictionless gripper},
24306  journal       = {International Journal of Robotic Research},
24307  volume        = {11},
24308  year          = {1992},
24309  pages         = {112--122}
24310}
24311
24312@Article{         al-khayyal.falk:jointly,
24313  author        = {F. A. Al--Khayyal and J. E. Falk},
24314  title         = {Jointly Constrained Biconvex Programming},
24315  journal       = {Mathematics of Operations Research},
24316  year          = {1983},
24317  volume        = {8},
24318  pages         = {273--286}
24319}
24320
24321@Article{         al-khayyal.kyparisis:finite,
24322  author        = {F. A. Al--Khayyal and J. Kyparisis},
24323  title         = {Finite Convergence of Algorithms for Nonlinear Programs and Variational
24324                  Inequalities},
24325  journal       = {Journal of Optimization Theory and Applications},
24326  year          = {1991},
24327  volume        = {70},
24328  pages         = {319--332}
24329}
24330
24331@PhDThesis{       al-khayyal:biconvex,
24332  author        = {F. A. Al--Khayyal},
24333  title         = {Biconvex Programming and Biconcave Minimization},
24334  year          = {1977},
24335  school        = {The George Washington University}
24336}
24337
24338@Article{         alart.curnier:mixed,
24339  author        = {P. Alart and A. Curnier},
24340  title         = {A mixed formulation for frictional contact problems prone to {N}ewton like
24341                  solution methods},
24342  journal       = {Computer Methods in Applied Mechanics and Engineering},
24343  volume        = {92},
24344  year          = {1991},
24345  pages         = {353--375}
24346}
24347
24348@Misc{            alexander.kellog.ea:piecewise,
24349  author        = {J.~C. Alexander and R.~B. Kellog and T.-Y. Li and J~.A. Yorke},
24350  title         = {Piecewise smooth continuation},
24351  howpublished  = {Manuscript},
24352  year          = {1979}
24353}
24354
24355@InCollection{    alexander.li.ea:piecewise,
24356  author        = {J.~C. Alexander and T.-Y. Li and J~.A. Yorke},
24357  title         = {Piecewise smooth homotopies},
24358  booktitle     = {Homotopy Methods and Global Convergence},
24359  pages         = {1--14},
24360  publisher     = {Plenum Press},
24361  year          = {1983},
24362  editor        = {B.~C. Eaves and F.~J. Gould and H.-O. Peitgen and M.~J. Todd},
24363  address       = {New York}
24364}
24365
24366@InCollection{    alexander:topological,
24367  author        = {J.~C. Alexander},
24368  title         = {The topological theory of an embedding method},
24369  booktitle     = {Continuation Methods},
24370  pages         = {37--68},
24371  publisher     = {Academic Press},
24372  year          = {1978},
24373  editor        = {H. Wacker},
24374  address       = {New York}
24375}
24376
24377@Book{            allen:probability,
24378  author        = {A. O. Allen},
24379  title         = {Probability, Statistics and Queueing Theory},
24380  publisher     = {Academic Press},
24381  year          = {1990},
24382  address       = {London},
24383  edition       = {Second}
24384}
24385
24386@Book{            allgower.georg:numerical,
24387  author        = {E. L. Allgower and K. Georg},
24388  title         = {Numerical Continuation Methods, An Introduction},
24389  publisher     = {Springer-Verlag},
24390  year          = {1990},
24391  address       = {Berlin}
24392}
24393
24394@InProceedings{   allgower.georg:predictor-corrector,
24395  crossref      = {bachem.grotschel.ea:mathematical},
24396  author        = {E. L. Allgower and K. Georg},
24397  title         = {Predictor--Corrector and Simplicial Methods for Approximating Fixed Points and
24398                  Zero Points of Nonlinear Mappings},
24399  pages         = {15--56}
24400}
24401
24402@Article{         aluffi-pentini.parisi.ea:algorithm,
24403  author        = {F. Aluffi-Pentini and V. Parisi and F. Zirilli},
24404  title         = {Algorithm 667: {SIGMA}- {A} Stochastic-Integration Global Minimization
24405                  Algorithm},
24406  journal       = {ACM Transactions on Mathematical Software},
24407  year          = {1988},
24408  volume        = {14},
24409  pages         = {366--380}
24410}
24411
24412@Article{         anandalingam.friesz:hierarchical,
24413  author        = {G. Anandalingam and T. L. Friesz},
24414  title         = {Hierarchical Optimization: An Introduction},
24415  journal       = {Annals of Operations Research},
24416  year          = {1992},
24417  volume        = {34},
24418  pages         = {1--11}
24419}
24420
24421@Article{         anandalingam.white:solution,
24422  author        = {G. Anandalingam and D. J. White},
24423  title         = {A Solution Method for the Linear Static Stackelberg Problem Using Penalty
24424                  Functions},
24425  journal       = {IEEE Transactions on Automatic Control},
24426  year          = {1990},
24427  volume        = {35},
24428  number        = {10},
24429  pages         = {1170--1173}
24430}
24431
24432@Article{         andersen.andersen:presolving,
24433  author        = {E. Andersen and K. Andersen},
24434  title         = {Presolving in Linear Programming},
24435  year          = {1995},
24436  journal       = {Mathematical Programming},
24437  volume        = {71},
24438  pages         = {221--245}
24439}
24440
24441@InProceedings{   andersen.ye:homogeneous,
24442  author        = {E. Andersen and Y. Ye},
24443  title         = {On a Homogeneous Algorithm for a Monotone Complementarity Problem with Nonlinear
24444                  Equality Constraints},
24445  crossref      = {ferris.pang:complementarity},
24446  pages         = {1--11}
24447}
24448
24449@Book{            anderson.bai.ea:lapack,
24450  author        = {E. Anderson and Z. Bai and C. Bischof and J. Demmel and J. Dongarra and J. Du
24451                  Cros and A. Greenbaum and S. Hammarling and A. McKenney and S. Ostrouchov and D.
24452                  Sorensen},
24453  title         = {{LAPACK} User's Guide},
24454  publisher     = {SIAM},
24455  year          = {1995},
24456  address       = {Philadelphia, Pennsylvania},
24457  edition       = {Second}
24458}
24459
24460@Article{         anderson.ferris:direct,
24461  author        = {E. J. Anderson and M. C. Ferris},
24462  title         = {A Direct Search Algorithm for Optimization with Noisy Function Evaluations},
24463  year          = {2001},
24464  journal       = {SIAM Journal on Optimization, forthcoming},
24465  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/96-11.ps},
24466  key           = {55}
24467}
24468
24469@InProceedings{   anderson.ferris:genetic,
24470  author        = {E. J. Anderson and M. C. Ferris},
24471  title         = {A Genetic Algorithm for the Assembly Line Balancing Problem},
24472  booktitle     = {Proceedings of the Integer Programming / Combinatorial Optimization Conference,
24473                  Waterloo, Ontario, Canada, May 28--30},
24474  publisher     = {University of Waterloo Press},
24475  key           = {14},
24476  year          = {1990}
24477}
24478
24479@Article{         anderson.ferris:genetic*1,
24480  author        = {E. J. Anderson and M. C. Ferris},
24481  title         = {Genetic Algorithms for Combinatorial Optimization: The Assembly Line Balancing
24482                  Problem},
24483  journal       = {ORSA Journal on Computing},
24484  year          = {1994},
24485  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/93-ga.ps},
24486  volume        = {6},
24487  pages         = {161--173},
24488  key           = {22}
24489}
24490
24491@InProceedings{   anderson.ferris:parallel,
24492  author        = {E. J. Anderson and M. C. Ferris},
24493  title         = {Parallel Genetic Algorithms in Optimization},
24494  booktitle     = {Proceedings of the Fourth SIAM conference on Parallel Processing for Scientific
24495                  Computing, Chicago, Illinois, December 11-13},
24496  year          = {1989},
24497  key           = {12}
24498}
24499
24500@Unpublished{     anderson.lewis:primal,
24501  author        = {E. J. Anderson and A. S. Lewis},
24502  title         = {A New Primal Algorithm for Semi-Infinite Linear Programming},
24503  note          = {In preparation}
24504}
24505
24506@Book{            anderson.nash:linear,
24507  author        = {E. J. Anderson and P. Nash},
24508  title         = {Linear Programming in Infinite--Dimensional Spaces},
24509  year          = {1987},
24510  publisher     = {John Wiley \& Sons},
24511  address       = {Chichester}
24512}
24513
24514@InProceedings{   anderson:primal,
24515  author        = {E. J. Anderson},
24516  title         = {A New Primal Algorithm for Semi-Infinite Linear Programming},
24517  booktitle     = {Proceedings of an International Symposium on Infinite Dimensional Linear
24518                  Programming, Cambridge, September 1984},
24519  year          = {1985},
24520  editor        = {E. J. Anderson and A. B. Philpott},
24521  publisher     = {Springer-Verlag},
24522  address       = {Berlin}
24523}
24524
24525@Article{         andradottir:method,
24526  author        = {S. Andrad\'{o}ttir},
24527  title         = {A Method of Discrete Stochastic Optimization},
24528  journal       = {Management Science},
24529  year          = {1995},
24530  volume        = {41},
24531  pages         = {1946--1961}
24532}
24533
24534@Article{         andradottir:global,
24535  author        = {S. Andrad\'{o}ttir},
24536  title         = {A Global Search Method for Discrete Stochastic Optimization},
24537  journal       = {SIAM Journal on Optimization},
24538  year          = {1996},
24539  volume        = {6},
24540  pages         = {513--530}
24541}
24542
24543@TechReport{      anitescu.lesaja.ea:infeasible-interior-point,
24544  author        = {M. Anitescu and G. Lesaja and F. A. Potra},
24545  title         = {An infeasible--interior--point predictor--corrector algorithm for the
24546                  {P}$_x$--geometric {LCP}},
24547  institution   = {Department of Mathematics, The University of Iowa},
24548  address       = {Iowa City, Iowa},
24549  year          = {1994},
24550  number        = {62},
24551  type          = {Reports on Computational Mathematics}
24552}
24553
24554@TechReport{      anitescu.potra:formulating,
24555  author        = {M. Anitescu and F. A. Potra},
24556  title         = {Formulating Dynamic Multi-Rigid-Body Contact Problems with Friction as Solvable
24557                  Linear Complementarity Problems},
24558  institution   = {Department of Mathematics, The University of Iowa},
24559  year          = {1996},
24560  type          = {Report},
24561  number        = {93},
24562  address       = {Iowa City, Iowa}
24563}
24564
24565@Article{         anstreicher.lee.ea:crashing,
24566  author        = {K. M. Anstreicher and J. Lee and T. F. Rutherford},
24567  title         = {Crashing a Maximum-Weight Complementarity Basis},
24568  journal       = {Mathematical Programming},
24569  year          = {1992},
24570  volume        = {54},
24571  pages         = {281--294}
24572}
24573
24574@Article{         anstreicher:combined,
24575  author        = {K. M. Anstreicher},
24576  title         = {A combined phase {I}--phase {II} scaled potential algorithm for linear
24577                  programming},
24578  journal       = {Mathematical Programming},
24579  year          = {1991},
24580  volume        = {52},
24581  pages         = {429--440}
24582}
24583
24584@Article{         anstreicher:combined*1,
24585  author        = {K. M. Anstreicher},
24586  title         = {A combined phase {I}--phase {II} projective algorithm for linear programming},
24587  journal       = {Mathematical Programming},
24588  year          = {1989},
24589  volume        = {43},
24590  pages         = {209--223}
24591}
24592
24593@InCollection{    arbenz.gander.ea:remote,
24594  author        = {P. Arbenz and W. Gander and M. Oettli},
24595  title         = {The Remote Computational System},
24596  booktitle     = {High-Performance Computation and Networks},
24597  publisher     = {Springer-Verlag},
24598  year          = {1996},
24599  volume        = {1067},
24600  series        = {Lecture Notes in Computer Science},
24601  pages         = {662--667}
24602}
24603
24604@InCollection{    arcus:comsoal,
24605  author        = {A. L. Arcus},
24606  title         = {{COMSOAL}: {A} Computer Method of Sequencing Operations for Assembly Lines},
24607  booktitle     = {Readings in Production and Operations Management},
24608  year          = {1966},
24609  editor        = {E. S. Buffa},
24610  publisher     = {John Wiley \& Sons},
24611  address       = {New York}
24612}
24613
24614@TechReport{      arioli.chan.ea:computing,
24615  author        = {M. Arioli and T. F. Chan and I. S. Duff and N. I. M. Gould and J. K. Reid},
24616  title         = {Computing a Search Direction for Large-Scale Linearly-Constrained Nonlinear
24617                  Optimization Calculations},
24618  institution   = {CERFACS},
24619  year          = {1993},
24620  number        = {TR/PA/93/34}
24621}
24622
24623@Article{         armijo:minimization,
24624  author        = {L. Armijo},
24625  title         = {Minimization of Functions having {L}ipschitz-continuous First Partial
24626                  Derivatives},
24627  journal       = {Pacific Journal of Mathematics},
24628  year          = {1966},
24629  volume        = {16},
24630  pages         = {1--3}
24631}
24632
24633@Article{         arrow.debreu:existence,
24634  author        = {K. Arrow and G. Debreu},
24635  title         = {Existence of Equilibrium for a Competitive Economy},
24636  journal       = {Econometrica},
24637  year          = {1954},
24638  volume        = {22},
24639  pages         = {265--290}
24640}
24641
24642@InCollection{    arrow.solow:gradient,
24643  author        = {K. J. Arrow and R. M. Solow},
24644  title         = {Gradient Methods for Constrained Maxima with Weakened Assumptions},
24645  booktitle     = {Studies in Linear and Nonlinear Programming},
24646  year          = {1958},
24647  editor        = {K. J. Arrow and L. Hurwicz and H. Uzawa},
24648  publisher     = {Stanford University Press},
24649  address       = {Stanford, California},
24650  pages         = {166--176}
24651}
24652
24653@Book{            aubin.ekeland:nonlinear,
24654  author        = {J.-P. Aubin and I. Ekeland},
24655  title         = {Applied nonlinear analysis},
24656  publisher     = {John Wiley \& Sons},
24657  address       = {New York},
24658  year          = {1984}
24659}
24660
24661@Article{         auchmuty:variational,
24662  author        = {G. Auchmuty},
24663  title         = {Variational Principles for Variational Inequalities},
24664  journal       = {Numerical Functional Analysis and Optimization},
24665  year          = {1989},
24666  volume        = {10},
24667  pages         = {863--874}
24668}
24669
24670@Book{            auerbach.kotlikoff:dynamic,
24671  author        = {A. J. Auerbach and L. J. Kotlikoff},
24672  title         = {Dynamic Fiscal Policy},
24673  publisher     = {Cambridge University Press},
24674  address       = {Cambridge, England},
24675  year          = {1987}
24676}
24677
24678@InProceedings{   ault.deutsch.ea:interpolating,
24679  author        = {D. A. Ault and F. R. Deutsch and P. D. Morris and J. E. Olson},
24680  title         = {Interpolating Subspaces in Approximation Theory},
24681  booktitle     = {Approximation Theory},
24682  year          = {1970},
24683  editor        = {A. Talbot},
24684  publisher     = {Academic Press},
24685  address       = {London}
24686}
24687
24688@Article{         auslender.crouzeix:global,
24689  author        = {A. A. Auslender and J.--P. Crouzeix},
24690  title         = {Global Regularity Theorems},
24691  journal       = {Mathematics of Operations Research},
24692  year          = {1988},
24693  volume        = {13},
24694  pages         = {243--253}
24695}
24696
24697@Article{         auslender.haddou:interior-proximal,
24698  author        = {A. Auslender and M. Haddou},
24699  title         = {An interior-proximal method for convex linearly constrained problems and its
24700                  extension to variational inequalities},
24701  year          = {1995},
24702  journal       = {Mathematical Programming},
24703  pages         = {77--100},
24704  volume        = {71}
24705}
24706
24707@Article{         auslender:convergence,
24708  author        = {A. Auslender},
24709  title         = {Convergence of stationary sequences for variational inequalities with maximal
24710                  monotone operators},
24711  journal       = {Applied Mathematics and Optimization},
24712  volume        = {28},
24713  year          = {1993},
24714  pages         = {161--172}
24715}
24716
24717@Book{            auslender:optimization,
24718  author        = {A. Auslender},
24719  title         = {Optimization {M}\'{e}thodes Num\'{e}riques},
24720  year          = {1976},
24721  publisher     = {Masson},
24722  address       = {Paris}
24723}
24724
24725@TechReport{      averick.carter.ea:minpack-2,
24726  author        = {B. M. Averick and R. G. Carter and J. J. Mor\'e and G. -L. Xue},
24727  title         = {The {MINPACK-2} Test Problem Collection},
24728  institution   = {Argonne National Laboratory},
24729  year          = {1992},
24730  address       = {Argonne, Illinois},
24731  number        = {MCS-P153-0692}
24732}
24733
24734@TechReport{      axline.billups.ea:guidelines,
24735  author        = {R. A. Axline and S. C. Billups and M. F. Grady},
24736  title         = {Guidelines for Software Security ({U})},
24737  institution   = {SNL},
24738  year          = {1989},
24739  month         = oct,
24740  address       = {Albuquerque, New Mexico},
24741  number        = {SAND88-2955}
24742}
24743
24744@Article{         ayres.walter:greenhouse,
24745  author        = {R. U. Ayres and J. Walter},
24746  title         = {The Greenhouse Effect: Damages, Costs and Abatement},
24747  journal       = {Environmental and Resource Economics},
24748  year          = {1991},
24749  volume        = {1},
24750  pages         = {237--270}
24751}
24752
24753@PhDThesis{       bagley:behaviour,
24754  author        = {J. D. Bagley},
24755  title         = {The Behaviour of Adaptive Systems which employ Genetic and Correlation
24756                  Algorithms},
24757  year          = {1967},
24758  school        = {University of Michigan}
24759}
24760
24761@Article{         bain.stewart:application,
24762  author        = {R. S. Bain and W. E. Stewart},
24763  title         = {Application of Robust Nonmonotonic Descent Criteria to the Solution of Nonlinear
24764                  Algebraic Equation Systems},
24765  journal       = {Computers in Chemical Engineering},
24766  year          = {1991},
24767  volume        = {15},
24768  pages         = {203--208}
24769}
24770
24771@Article{         baker.lasdon:successive,
24772  author        = {T. E. Baker and L. S. Lasdon},
24773  title         = {Successive Linear Programming at {E}xxon},
24774  journal       = {Management Science},
24775  year          = {1985},
24776  volume        = {31},
24777  pages         = {264--274}
24778}
24779
24780@InProceedings{   baker:reducing,
24781  crossref      = {grefenstette:genetic},
24782  author        = {J. E. Baker},
24783  title         = {Reducing Bias and Inefficiency in the Selection Algorithm},
24784  pages         = {14--21}
24785}
24786
24787@Article{         balas.zemel:algorithm,
24788  author        = {E. Balas and E. Zemel},
24789  title         = {An Algorithm for Large Zero--One Knapsack Problems},
24790  journal       = {Operations Research},
24791  year          = {1980},
24792  volume        = {28},
24793  pages         = {1132--1154}
24794}
24795
24796@Book{            ballard.fullerton.ea:general,
24797  author        = {C. Ballard and D. Fullerton and J. B. Shoven and J. Whalley},
24798  title         = {A General Equilibrium Model for Tax Policy Evaluation},
24799  publisher     = {The University of Chicago Press},
24800  year          = {1985},
24801  series        = {National Bureau of Economic Research Monograph}
24802}
24803
24804@InProceedings{   balog.angelos.ea:dose,
24805  author        = {J. Balog and L. Angelos and T. R. Mackie and P. Reckwerdt},
24806  title         = {Dose Computation for a One-Dimensional Multileaf Collimator},
24807  booktitle     = {Proceedings of the XII International Conference on the Use of Computers in
24808                  Radiation Therapy, Salt Lake City},
24809  year          = {1997},
24810  editor        = {D. D. Leavitt and G. Starkshall},
24811  publisher     = {Medical Physics Publishing},
24812  address       = {St. Louis, Missouri},
24813  pages         = {323--326}
24814}
24815
24816@Article{         baraff:fast,
24817  author        = {D. Baraff},
24818  title         = {Fast contact force computation for nonpenetrating rigid bodies},
24819  journal       = {Computer Graphics (Proceedings SIGRAPH)},
24820  year          = {1994},
24821  pages         = {23--34},
24822  volume        = {28}
24823}
24824
24825@Article{         baraff:issues,
24826  author        = {D. Baraff},
24827  title         = {Issues in computing contact forces for nonpenetrating rigid bodies},
24828  journal       = {Algorithmica},
24829  volume        = {10},
24830  year          = {1993},
24831  pages         = {292--352}
24832}
24833
24834@Book{            barrett.berry.ea:templates,
24835  title         = {Templates for the Solution of Linear Systems: Building Blocks for Iterative
24836                  Methods},
24837  author        = {R. Barrett and M. Berry and T. F. Chan and J. Demmel and J. Donato and J.
24838                  Dongarra and V. Eijkhout and R. Pozo and C. Romine and H. van der Vorst},
24839  year          = {1994},
24840  publisher     = {SIAM},
24841  address       = {Philadelphia, Pennsylvania}
24842}
24843
24844@Article{         bard:algorithm,
24845  author        = {J. F. Bard},
24846  title         = {An Algorithm for Solving the General Bi--Level Programming Problem},
24847  journal       = {Mathematics of Operations Research},
24848  year          = {1983},
24849  volume        = {8},
24850  pages         = {260--272}
24851}
24852
24853@Article{         bard:convex,
24854  author        = {J. F. Bard},
24855  title         = {Convex Two-Level Optimization},
24856  journal       = {Mathematical Programming},
24857  year          = {1988},
24858  volume        = {40},
24859  pages         = {15--27}
24860}
24861
24862@InCollection{    bard:eclectic,
24863  author        = {Y. Bard},
24864  title         = {An Eclectic Approach to Nonlinear Programming},
24865  booktitle     = {Optimization},
24866  publisher     = {University of Queensland Press},
24867  editor        = {R. S. Anderson and L. S. Jennings and D. M. Ryan},
24868  year          = {1972},
24869  address       = {St. Lucia, Queensland, Australia},
24870  pages         = {116--128}
24871}
24872
24873@Article{         barnes:variation,
24874  author        = {E. R. Barnes},
24875  title         = {A Variation on {K}armarkar's Algorithm for Solving Linear Programming Problems},
24876  journal       = {Mathematical Programming},
24877  year          = {1986},
24878  volume        = {36},
24879  pages         = {174--182}
24880}
24881
24882@Article{         bartels.golub:simplex,
24883  author        = {R. H. Bartels and G. H. Golub},
24884  title         = {The Simplex Method of Linear Programming using {LU} Decomposition},
24885  journal       = {Communications of the Asociation for Computing Machinery},
24886  year          = {1969},
24887  volume        = {12},
24888  pages         = {266--268}
24889}
24890
24891@Article{         barton.ivey:nelder,
24892  author        = {R. Barton and J. S. Ivey},
24893  title         = {{N}elder {M}ead Simplex Modifications for Simulation Optimization},
24894  journal       = {Management Science},
24895  year          = {1996},
24896  volume        = {42},
24897  number        = {7},
24898  pages         = {954--973}
24899}
24900
24901@Article{         battiti:first-,
24902  author        = {R. Battiti},
24903  title         = {First- and Second-Order Methods for Learning: Between Steepest Descent and
24904                  {N}ewton's Method},
24905  journal       = {Neural Computation},
24906  year          = {1992},
24907  volume        = {4},
24908  pages         = {141--166}
24909}
24910
24911@Article{         baudet:asynchronous,
24912  author        = {G. M. Baudet},
24913  title         = {Asynchronous iterative methods for multiprocesors},
24914  journal       = {Journal of the Association for Computing Machinery},
24915  year          = {1978},
24916  volume        = {25},
24917  pages         = {226--244}
24918}
24919
24920@InProceedings{   baum.haussler:what,
24921  author        = {E. B. Baum and D. Haussler},
24922  title         = {What Size Net Gives Valid Generalization},
24923  booktitle     = {Advances in Neural Information Processing Systems I},
24924  year          = {1989},
24925  editor        = {D. S. Touretzky},
24926  publisher     = {Morgan Kaufmann},
24927  address       = {San Mateo, California},
24928  pages         = {81--90}
24929}
24930
24931@Misc{            baum:private,
24932  author        = {E. B. Baum},
24933  title         = {Private Communication},
24934  year          = {1992},
24935  address       = {NEC Research Institute, Princeton, New Jersey}
24936}
24937
24938@Book{            bazaraa.sherali.ea:nonlinear,
24939  author        = {M. S. Bazaraa and H. D. Sherali and C. M. Shetty},
24940  title         = {Nonlinear Programming},
24941  edition       = {Second},
24942  publisher     = {John Wiley and Sons},
24943  address       = {New York},
24944  year          = {1993}
24945}
24946
24947@Book{            bazaraa.shetty:nonlinear,
24948  author        = {M. S. Bazaraa and C. M. Shetty},
24949  title         = {Nonlinear Programming: Theory and Algorithms},
24950  publisher     = {John Wiley \& Sons},
24951  year          = {1979},
24952  address       = {New York, New York}
24953}
24954
24955@Article{         beale:cycling,
24956  author        = {E. M. L. Beale},
24957  title         = {Cycling in the Dual Simplex Method},
24958  journal       = {Naval Research Logistics Quarterly},
24959  year          = {1955},
24960  volume        = {2},
24961  pages         = {103--107}
24962}
24963
24964@InProceedings{   becker.cun:improving,
24965  author        = {S. Becker and Y. le Cun},
24966  title         = {Improving the Convergence of Backpropagation Learning with Second Order Methods},
24967  booktitle     = {Proceedings of 1988 Connectionist Models Summer School},
24968  year          = {1988},
24969  editor        = {D. S. Touretzky},
24970  publisher     = {Morgan Kaufmann},
24971  address       = {San Mateo, California},
24972  pages         = {29--37}
24973}
24974
24975@Book{            ben-israel.ben-tal.ea:optimality,
24976  author        = {A. Ben--Israel and A. Ben--Tal and S. Zlobec},
24977  title         = {Optimality in Nonlinear Programming: {A} Feasible Directions Approach},
24978  year          = {1981},
24979  publisher     = {John Wiley \& Sons},
24980  address       = {New York}
24981}
24982
24983@Article{         ben-israel:newton-raphson,
24984  author        = {A. Ben--Israel},
24985  title         = {A {N}ewton--{R}aphson Method for the Solution of Systems of Equations},
24986  journal       = {Journal of Mathematical Analysis and its Applications},
24987  year          = {1966},
24988  volume        = {15},
24989  pages         = {243--252}
24990}
24991
24992@Article{         ben-tal.melman.ea:curved,
24993  author        = {A. Ben--Tal and A. Melman and J. Zowe},
24994  title         = {Curved Search Methods for Unconstrained Optimization},
24995  journal       = {Optimization},
24996  year          = {1990},
24997  volume        = {21},
24998  pages         = {669--695},
24999  publisher     = {John Wiley \& Sons},
25000  address       = {New York}
25001}
25002
25003@InProceedings{   bennett.ferris.ea:genetic,
25004  crossref      = {belew.booker:fourth},
25005  author        = {K. Bennett and M. C. Ferris and Y. E. Ioannidis},
25006  title         = {A Genetic Algorithm for Database Query Optimization},
25007  pages         = {400--407},
25008  url           = {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1991/tr1004.ps},
25009  key           = {19}
25010}
25011
25012@Article{         bennett.mangasarian:bilinear,
25013  author        = {K. P. Bennett and O. L. Mangasarian},
25014  title         = {Bilinear Separation of Two Sets in n-Space},
25015  journal       = {Computational Optimization and Applications},
25016  year          = {1993},
25017  volume        = {2},
25018  pages         = {207--227}
25019}
25020
25021@Article{         bennett.mangasarian:multicategory,
25022  author        = {K. P. Bennett and O. L. Mangasarian},
25023  title         = {Multicategory Separation via Linear Programming},
25024  journal       = {Optimization Methods and Software},
25025  year          = {1993},
25026  volume        = {3},
25027  pages         = {27--39}
25028}
25029
25030@InProceedings{   bennett.mangasarian:neural,
25031  author        = {K. P. Bennett and O. L. Mangasarian},
25032  title         = {Neural Network Training via Linear Programming},
25033  booktitle     = {Advances in Optimization and Parallel Computing},
25034  year          = {1992},
25035  editor        = {P. M. Pardalos},
25036  publisher     = {North Holland},
25037  address       = {Amsterdam},
25038  pages         = {56--67}
25039}
25040
25041@Article{         bennett.mangasarian:robust,
25042  author        = {K. P. Bennett and O. L. Mangasarian},
25043  title         = {Robust Linear Programming Discrimination of Two Linearly Inseparable Sets},
25044  journal       = {Optimization Methods and Software},
25045  year          = {1992},
25046  volume        = {1},
25047  pages         = {23--34}
25048}
25049
25050@Article{         bennett.mangasarian:serial,
25051  author        = {K. P. Bennett and O. L. Mangasarian},
25052  title         = {Serial and Parallel Multicategory Separation},
25053  journal       = {SIAM Journal on Optimization},
25054  year          = {1994},
25055  volume        = {4},
25056  pages         = {722--734}
25057}
25058
25059@TechReport{      bennett.wu.ea:support,
25060  author        = {K. P. Bennett and D. Wu and L. Auslender},
25061  title         = {On Support Vector Decision Trees for Database Marketing},
25062  institution   = {Department of Mathematical Sciences, Rensselaer Polytechnic Institute},
25063  year          = {1998},
25064  optkey        = {},
25065  opttype       = {RPI Math Report},
25066  optnumber     = {98-100},
25067  optaddress    = {Troy, New York},
25068  optmonth      = {},
25069  optnote       = {},
25070  optannote     = {}
25071}
25072
25073@InProceedings{   bennett:decision,
25074  author        = {K. P. Bennett},
25075  title         = {Decision Tree Construction Via Linear Programming},
25076  booktitle     = {Proceedings of the 4th Midwest Artificial Intelligence and Cognitive Science
25077                  Society Conference},
25078  year          = {1992},
25079  editor        = {M. Evans},
25080  address       = {Utica, Illinois},
25081  pages         = {97--101}
25082}
25083
25084@Book{            berge.ghouila-houri:programming,
25085  author        = {C. Berge and A. Ghouila-Houri},
25086  title         = {Programming, Games and Transportation Networks},
25087  year          = {1965},
25088  publisher     = {John Wiley \& Sons},
25089  address       = {New York}
25090}
25091
25092@Book{            berge:topological,
25093  author        = {C. Berge},
25094  title         = {Topological Spaces},
25095  year          = {1963},
25096  publisher     = {McMillan},
25097  address       = {New York}
25098}
25099
25100@TechReport{      berkelaar.jansen.ea:basis,
25101  author        = {A. B. Berkelaar and B. Jansen and C. Roos and T. Terlaky},
25102  title         = {Basis and Tripartition Identification for Quadratic Programming and Linear
25103                  Complementarity Problems},
25104  institution   = {Department of Econometrics and Operations Research},
25105  year          = {1996},
25106  address       = {Erasmus University, Rotterdam, The Netherlands}
25107}
25108
25109@Article{         bertsekas.baz:distributed,
25110  author        = {D. P. Bertsekas and D. El Baz},
25111  title         = {Distributed Asynchronous Relaxation Methods for the Convex Network Flow Problem},
25112  journal       = {SIAM Journal on Control and Optimization},
25113  year          = {1987},
25114  volume        = {25},
25115  pages         = {74--85}
25116}
25117
25118@Article{         bertsekas.gafni:projection,
25119  author        = {D. P. Bertsekas and E. M. Gafni},
25120  title         = {Projection Methods for Variational Inequalities with Application to the Traffic
25121                  Assignment Problem},
25122  journal       = {Mathematical Programming Study},
25123  year          = {1982},
25124  volume        = {17},
25125  pages         = {139--159}
25126}
25127
25128@Article{         bertsekas.hossein.ea:relaxation,
25129  author        = {D. P. Bertsekas and P. Hossein and P. Tseng},
25130  title         = {Relaxation Methods for Network Flow Problems with Convex Arc Costs},
25131  journal       = {SIAM Journal on Control and Optimization},
25132  year          = {1987},
25133  volume        = {25},
25134  pages         = {1219--1243}
25135}
25136
25137@Unpublished{     bertsekas.tseng:partial,
25138  author        = {D. P. Bertsekas and P. Tseng},
25139  title         = {Partial Proximal Minimization for Convex Programming},
25140  year          = {1991},
25141  note          = {Manuscript}
25142}
25143
25144@Article{         bertsekas.tsitsiklis:analysis,
25145  author        = {D. P. Bertsekas and J. N. Tsitsiklis},
25146  title         = {An Analysis of Stochastic Shortest Path Problems},
25147  journal       = {Mathematics of Operations Research},
25148  year          = {1991},
25149  volume        = {16},
25150  pages         = {580--595}
25151}
25152
25153@Book{            bertsekas.tsitsiklis:parallel,
25154  author        = {D. P. Bertsekas and J. N. Tsitsiklis},
25155  title         = {Parallel and Distributed Computation: Numerical Methods},
25156  publisher     = {Prentice-Hall, Inc},
25157  year          = {1989},
25158  address       = {Englewood Cliffs, New Jersey}
25159}
25160
25161@Book{            bertsekas:constrained,
25162  author        = {D. P. Bertsekas},
25163  title         = {Constrained Optimization and Lagrange Multiplier Methods},
25164  year          = {1982},
25165  publisher     = {Academic Press},
25166  address       = {New York}
25167}
25168
25169@Book{            bertsekas:dynamic,
25170  author        = {D. P. Bertsekas},
25171  title         = {Dynamic Programming and Optimal Control},
25172  publisher     = {Athena Scientific},
25173  year          = {1995},
25174  address       = {Belmont MA}
25175}
25176
25177@Article{         bertsekas:enlarging,
25178  author        = {D. P. Bertsekas},
25179  title         = {Enlarging the Region of Convergence of {N}ewton's Method for Constrained
25180                  Optimization},
25181  journal       = {Journal of Optimization Theory and Applications},
25182  year          = {1982},
25183  volume        = {36},
25184  pages         = {221--252}
25185}
25186
25187@Article{         bertsekas:goldstein-levitin-poljak,
25188  author        = {D. P. Bertsekas},
25189  title         = {On the {G}oldstein-{L}evitin-{P}oljak Gradient Projection Algorithm},
25190  journal       = {IEEE Transactions on Automatic Control},
25191  year          = {1976},
25192  volume        = {AC-21},
25193  pages         = {174--184}
25194}
25195
25196@Article{         bertsekas:multiplier,
25197  author        = {D. P. Bertsekas},
25198  title         = {Multiplier Methods: {A} Survey},
25199  journal       = {Automatica},
25200  year          = {1976},
25201  volume        = {12},
25202  pages         = {133--145}
25203}
25204
25205@Article{         bertsekas:necessary,
25206  author        = {D. P. Bertsekas},
25207  title         = {Necessary and Sufficient Conditions for a Penalty Method to be Exact},
25208  journal       = {Mathematical Programming},
25209  year          = {1975},
25210  volume        = {9},
25211  pages         = {87--99}
25212}
25213
25214@Book{            bertsekas:nonlinear,
25215  author        = {D. P. Bertsekas},
25216  title         = {Nonlinear Programming},
25217  publisher     = {Athena Scientific},
25218  year          = {1995},
25219  address       = {Belmont, Massachusetts}
25220}
25221
25222@Article{         bertsekas:projected,
25223  author        = {Dimitri P. Bertsekas},
25224  title         = {Projected {N}ewton Methods for Optimization Problems with Simple Constraints},
25225  journal       = {SIAM Journal on Control and Optimization},
25226  year          = {1982},
25227  volume        = {20},
25228  pages         = {221--246}
25229}
25230
25231@Article{         billups.dirkse.ea:comparison,
25232  author        = {S. C. Billups and S. P. Dirkse and M. C. Ferris},
25233  title         = {A Comparison of Large Scale Mixed Complementarity Problem Solvers},
25234  journal       = {Computational Optimization and Applications},
25235  year          = {1997},
25236  pages         = {3--25},
25237  volume        = {7},
25238  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/95-16.ps},
25239  key           = {51}
25240}
25241
25242@Article{         billups.ferris:convergence,
25243  author        = {S. C. Billups and M. C. Ferris},
25244  title         = {Convergence of an Infeasible Interior--Point Algorithm from Arbitrary Positive
25245                  Starting Points},
25246  journal       = {SIAM Journal on Optimization},
25247  year          = {1996},
25248  volume        = {6},
25249  pages         = {316--325},
25250  url           = {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1993/tr1180.ps},
25251  key           = {34}
25252}
25253
25254@TechReport{      billups.ferris:convergence*1,
25255  author        = {S. C. Billups and M. C. Ferris},
25256  title         = {Convergence of Infeasible Interior--Point Algorithms from Arbitrary Starting
25257                  Points},
25258  institution   = {Computer Sciences Department, University of Wisconsin},
25259  year          = {1993},
25260  address       = {Madison, Wisconsin},
25261  number        = {1180},
25262  note          = {Revised version in SIAM Journal on Optimization.}
25263}
25264
25265@Article{         billups.ferris:qpcomp,
25266  author        = {S. C. Billups and M. C. Ferris},
25267  title         = {{QPCOMP}: {A} Quadratic Program Based Solver for Mixed Complementarity Problems},
25268  year          = {1997},
25269  journal       = {Mathematical Programming},
25270  pages         = {533--562},
25271  volume        = {76},
25272  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/95-09.ps},
25273  key           = {47}
25274}
25275
25276@Article{         billups.ferris:solutions,
25277  author        = {S. C. Billups and M. C. Ferris},
25278  title         = {Solutions to Affine Generalized Equations Using Proximal Mappings},
25279  journal       = {Mathematics of Operations Research},
25280  volume        = {24},
25281  pages         = {219--236},
25282  year          = {1999},
25283  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/94-15.ps},
25284  key           = {42},
25285  institution   = {Computer Sciences Department, University of Wisconsin},
25286  address       = {Madison, Wisconsin},
25287  type          = {Mathematical Programming Technical Report},
25288  number        = {94--15}
25289}
25290
25291@TechReport{      billups.murata.ea:users,
25292  author        = {S. C. Billups and K. K. Murata and K. E. Washington and D. L. Y. Louie},
25293  title         = {User's manual for {CONTAIN--HWR/0}, Rev. 1: {A} Computer Code for the Analysis of
25294                  Heavy Water Nuclear Reactor Containments Under Accident Conditions},
25295  institution   = {SNL},
25296  year          = {1994},
25297  month         = jan,
25298  address       = {Albuquerque, New Mexico},
25299  number        = {SAND91--1482}
25300}
25301
25302@TechReport{      billups.speight.ea:nonmonotone,
25303  author        = {S. C. Billups and A. L. Speight and L. T. Watson},
25304  title         = {Nonmonotone Path Following Methods for Nonsmooth Equations and Complementarity
25305                  Problems},
25306  institution   = {Department of Mathematics, University of Colorado},
25307  year          = {1999},
25308  address       = {Denver, Colorado}
25309}
25310
25311@PhDThesis{       billups:algorithms,
25312  author        = {S. C. Billups},
25313  title         = {Algorithms for Complementarity Problems and Generalized Equations},
25314  school        = {University of Wisconsin--Madison},
25315  year          = {1995},
25316  address       = {Madison, Wisconsin},
25317  month         = aug
25318}
25319
25320@MastersThesis{   billups:augmented,
25321  author        = {S. C. Billups},
25322  title         = {An Augmented Jacobian Matrix Algorithm for Tracking Homotopy Zero Curves},
25323  school        = {Virginia Tech},
25324  year          = {1985},
25325  address       = {Blacksburg, Virginia}
25326}
25327
25328@TechReport{      billups:homotopy,
25329  author        = {S. C. Billups},
25330  title         = {A Homotopy Based Algorithm for Mixed Complementarity Problems},
25331  institution   = {Department of Mathematics, University of Colorado},
25332  year          = {1998},
25333  address       = {Denver, Colorado}
25334}
25335
25336@Article{         billups:improving,
25337  author        = {S. C. Billups},
25338  title         = {Improving the Robustness of Descent-Based Methods for Semi-Smooth Equations Using
25339                  Proximal Perturbations},
25340  year          = {2000},
25341  journal       = {Mathematical Programming},
25342  volume        = {87},
25343  pages         = {153--176}
25344}
25345
25346@Book{            birge.louveaux:introduction,
25347  author        = {J. R. Birge and R. Louveaux},
25348  title         = {Introduction to Stochastic Programming},
25349  publisher     = {Springer},
25350  address       = {New York},
25351  year          = {1997}
25352}
25353
25354@TechReport{      bischof.carle.ea:adifor,
25355  author        = {C. Bischof and A. Carle and P. Khademi and A. Mauer and P. Hovland},
25356  title         = {{ADIFOR} 2.0 User's Guide},
25357  institution   = {Argonne National Laboratory},
25358  year          = {1995},
25359  address       = {Argonne, Illinois},
25360  number        = {ANL/MCS--TM--192},
25361  type          = {Mathematics and Computer Science Division Report}
25362}
25363
25364@Book{            bisschop.entriken:aimms,
25365  author        = {J. Bisschop and R. Entriken},
25366  title         = {{AIMMS} -- The Modeling System},
25367  year          = {1993},
25368  publisher     = {Paragon Decision Technology},
25369  address       = {Haarlem, The Netherlands}
25370}
25371
25372@Article{         bisschop.meeraus:development,
25373  author        = {J. Bisschop and A. Meeraus},
25374  title         = {On the Development of a General Algebraic Modeling System in a Strategic Planning
25375                  Environment},
25376  journal       = {Mathematical Programming Study},
25377  year          = {1982},
25378  volume        = {20},
25379  pages         = {1--29}
25380}
25381
25382@Misc{            bixby.ceria.ea:miplib,
25383  author        = {R. E. Bixby and S. Ceria and C. M. McZeal and M. W. P. Savelsbergh},
25384  title         = {{MIPLIB} 3.0},
25385  howpublished  = {http://www.caam.rice.edu/\~bixby/miplib/miplib.html}
25386}
25387
25388@InProceedings{   bjorkman.klarbring.ea:sequential,
25389  author        = {G. Bj{\"{o}}rkman and A. Klarbring and T. Larsson and M. R{\"{o}}nnqvist and B.
25390                  Sj{\"{o}}din},
25391  title         = {Sequential quadratic programming for non-linear elastic contact problems},
25392  editor        = {J. Herskovits},
25393  booktitle     = {Structural Optimization 93, The World Congress on Optimal Design of Structural
25394                  Systems},
25395  volume        = {2},
25396  year          = {1993},
25397  pages         = {301--308}
25398}
25399
25400@Article{         bjorkman:path,
25401  author        = {G. Bj{\"o}rkman},
25402  title         = {Path Following and Critical Points for Contact Problems},
25403  journal       = {Computational Mechanics},
25404  volume        = {10},
25405  pages         = {231--246},
25406  year          = {1992}
25407}
25408
25409@Article{         bjorkman:solution,
25410  author        = {G. Bj{\"o}rkman},
25411  title         = {The Solution of Large Displacement Frictionless Contact Problems using a Sequence
25412                  of Linear Complementarity Problems},
25413  journal       = {International Journal for Numerical Methods in Engineering},
25414  volume        = {31},
25415  pages         = {1553--1566},
25416  year          = {1991}
25417}
25418
25419@Article{         bland:pivot,
25420  author        = {R. G. Bland},
25421  title         = {New Pivot Rules for the Simplex Method},
25422  journal       = {Mathematics of Operations Research},
25423  year          = {1977},
25424  volume        = {2},
25425  pages         = {103--107}
25426}
25427
25428@Article{         block.levin:boundedness,
25429  author        = {H. D. Block and S. A. Levin},
25430  title         = {On the Boundedness of an Iterative Procedure for Solving a System of Linear
25431                  Inequalities},
25432  journal       = {Proceedings of the American Mathematical Society},
25433  year          = {1970},
25434  volume        = {26},
25435  pages         = {229--235}
25436}
25437
25438@Book{            bloomer:power,
25439  author        = {J. Bloomer},
25440  title         = {Power Programming with {RPC}},
25441  publisher     = {O'Reilly and Associates, Inc.},
25442  address       = {Sebastopol, CA},
25443  year          = {1992}
25444}
25445
25446@InProceedings{   blum.rivest:training,
25447  author        = {A. Blum and R. L. Rivest},
25448  title         = {Training a 3-Node Neural Network is {NP}-Complete},
25449  booktitle     = {Advances in Neural Information Processing Systems I},
25450  year          = {1989},
25451  editor        = {D. S. Touretzky},
25452  publisher     = {Morgan Kaufmann},
25453  address       = {San Mateo, California},
25454  pages         = {494--501}
25455}
25456
25457@InProceedings{   boehringer.ferris.ea:exemptions,
25458  author        = {C. B{\"{o}}ehringer and M. C. Ferris and T. F. Rutherford},
25459  title         = {Exemptions, Grandfathered Permits and the Costs of Emission Restrictions: Results
25460                  from a General Equilibrium Model for Six {EU} Countries},
25461  key           = {49},
25462  booktitle     = {Economic Aspects of Environmental Policy Making in a Federal System},
25463  year          = {1995}
25464}
25465
25466@Article{         boender.kan:bayesian,
25467  author        = {C. G. E. Boender and A. H. G. Rinooy Kan},
25468  title         = {Bayesian Stopping Rules for Global Optimization},
25469  journal       = {Mathematical Programming},
25470  year          = {1987},
25471  volume        = {37},
25472  pages         = {59--80}
25473}
25474
25475@Article{         boggs:convergence,
25476  author        = {P. T. Boggs},
25477  title         = {The Convergence of the {B}en--{I}srael Iteration for Nonlinear Least Squares
25478                  Problems},
25479  journal       = {Mathematics of Computation},
25480  year          = {1976},
25481  volume        = {30},
25482  pages         = {512--522}
25483}
25484
25485@InProceedings{   bolzon.cochetti.ea:computing,
25486  author        = {G. Bolzon and G. Cochetti and G. Maier and F. Tin-Loi},
25487  title         = {On computing all solutions in decohesion},
25488  booktitle     = {IUTAM (International Union of Theoretical and Applied Mechanics), 19th
25489                  International Congress of Theoretical and Applied Mechanics},
25490  year          = {1996},
25491  address       = {Kyoto}
25492}
25493
25494@InProceedings{   bolzon.maier.ea:holonomic,
25495  author        = {G. Bolzon and G. Maier and F. Tin-Loi},
25496  title         = {Holonomic and nonholonomic simulations of quasi-brittle fracture: a comparative
25497                  study of mathematical programming approaches},
25498  booktitle     = {Fracture Mechanics of Concrete Structures},
25499  editor        = {F. H. Wittmann},
25500  series        = {Second International Conference on Fracture Mechanics of Concrete Structures
25501                  (FRAMCOS 2)},
25502  year          = {1995},
25503  publisher     = {Aedificatio Publishers},
25504  pages         = {885--898}
25505}
25506
25507@InProceedings{   bolzon.maier.ea:holonomic*1,
25508  author        = {G. Bolzon and G. Maier and F. Tin-Loi},
25509  title         = {On holonomic structural analysis as a complementarity problem},
25510  booktitle     = {APCOM96, Seoul},
25511  year          = {1996}
25512}
25513
25514@Article{         bolzon.maier.ea:multiplicity,
25515  author        = {G. Bolzon and G. Maier and F. Tin-Loi},
25516  title         = {On the Multiplicity of Solutions in Quasi-Brittle Fracture Computations},
25517  journal       = {Computational Mechanics},
25518  year          = {1997},
25519  volume        = {19},
25520  pages         = {511--516}
25521}
25522
25523@Article{         bongartz.conn.ea:cute,
25524  author        = {I. Bongartz and A. R. Conn and N. Gould and Ph. L. Toint},
25525  title         = {{CUTE}: Constrained and Unconstrained Testing Environment},
25526  year          = {1995},
25527  journal       = {{ACM} Transactions on Mathematical Software},
25528  volume        = {21},
25529  pages         = {123--160}
25530}
25531
25532@Article{         boppana:eigenvalues,
25533  author        = {R. Boppana},
25534  title         = {Eigenvalues and Graph Bisection: An Average Case Analysis},
25535  journal       = {Proc. 28th Annual Symposium on Foundations of Computer Science},
25536  pages         = {280--285},
25537  year          = {1987}
25538}
25539
25540@Article{         bortfeld.kahler.ea:x-ray,
25541  author        = {T. R. Bortfeld and D. L. Kahler and T. J. Waldron and A. L. Boyer},
25542  title         = {{X}-ray field compensation with multileaf collimators},
25543  journal       = {International Journal of Radiation Oncology, Biology and Physics},
25544  year          = {1994},
25545  volume        = {28},
25546  number        = {3},
25547  pages         = {723--730}
25548}
25549
25550@Article{         bortfeld.schlegel:optimization,
25551  author        = {T. Bortfeld and W. Schlegel},
25552  title         = {Optimization of beam orientations in radiation therapy: some theoretical
25553                  considerations},
25554  journal       = {Physics in Medicine and Biology},
25555  year          = {1993},
25556  volume        = {38},
25557  number        = {2},
25558  pages         = {291--304}
25559}
25560
25561@Article{         borwein:stability,
25562  author        = {J. M. Borwein},
25563  title         = {Stability and regular points of inequality systems},
25564  journal       = {Journal of Optimization Theory and Applications},
25565  year          = {1986},
25566  volume        = {48},
25567  pages         = {9--52}
25568}
25569
25570@Article{         boyer:present,
25571  author        = {A. L. Boyer},
25572  title         = {Present and Future Developments in Radiotherapy Treatment Units},
25573  journal       = {Seminars in Radiation Oncology},
25574  year          = {1995},
25575  volume        = {5},
25576  number        = {2},
25577  pages         = {146--155}
25578}
25579
25580@Article{         bracken.mcgill:mathematical,
25581  author        = {J. Bracken and J. T. McGill},
25582  title         = {Mathematical programs with optimization problems in the constraints},
25583  journal       = {Operations Research},
25584  volume        = {21},
25585  year          = {1973},
25586  pages         = {37--44}
25587}
25588
25589@Article{         bradley.fayyad.ea:mathematical,
25590  author        = {P. S. Bradley and U. M. Fayyad and O. L. Mangasarian},
25591  title         = {Mathematical Programming for Data Mining: Formulations and Challenges},
25592  journal       = {INFORMS Journal on Computing},
25593  year          = {1999},
25594  volume        = {11},
25595  pages         = {217--238}
25596}
25597
25598@TechReport{      bradley.mangasarian.ea:clustering,
25599  author        = {P. S. Bradley and O. L. Mangasarian and W. N. Street},
25600  title         = {Clustering via Concave Minimization},
25601  institution   = {Computer Sciences Department, University of Wisconsin},
25602  year          = {1996},
25603  type          = {Mathematical Programming Technical Report},
25604  number        = {96-03},
25605  address       = {Madison, Wisconsin}
25606}
25607
25608@TechReport{      bradley.mangasarian.ea:feature,
25609  author        = {P. S. Bradley and O. L. Mangasarian and W. N. Street},
25610  title         = {Feature Selection via Mathematical Programming},
25611  institution   = {Computer Sciences Department, University of Wisconsin},
25612  year          = {1995},
25613  type          = {Mathematical Programming Technical Report},
25614  number        = {95-21},
25615  address       = {Madison, Wisconsin}
25616}
25617
25618@Article{         bradley.mangasarian:massive,
25619  author        = {P. S. Bradley and O. L. Mangasarian},
25620  title         = {Massive Data Discrimination via Linear Support Vector Machines},
25621  year          = {2000},
25622  journal       = {Optimization Methods and Software},
25623  volume        = {13},
25624  pages         = {1-10}
25625}
25626
25627@PhDThesis{       brady:condition,
25628  author        = {L. Brady},
25629  title         = {Condition Constants for Solutions of Convex Inequalities},
25630  year          = {1988},
25631  address       = {Madison, Wisconsin},
25632  school        = {Computer Sciences Department, University of Wisconsin}
25633}
25634
25635@Article{         braess:uber,
25636  author        = {D. Braess},
25637  title         = {{\"{U}}ber ein {P}aradoxon aus der {V}erkehrsplanung},
25638  journal       = {Unternehmensforschung},
25639  year          = {1968},
25640  volume        = {12},
25641  pages         = {258--268}
25642}
25643
25644@Article{         brahme:optimization,
25645  author        = {A. Brahme},
25646  title         = {Optimization of Radiation Therapy and the Development of Multileaf Collimation},
25647  journal       = {International Journal of Radiation Oncology, Biology and Physics},
25648  year          = {1993},
25649  volume        = {25},
25650  pages         = {373--375}
25651}
25652
25653@Article{         brahme:stationary,
25654  author        = {A. Brahme},
25655  title         = {Optimization of stationary and moving beam radiation therapy techniques},
25656  journal       = {Radiother. Oncol.},
25657  year          = {1988},
25658  volume        = {12},
25659  pages         = {129--140}
25660}
25661
25662@InCollection{    brahme:treatment,
25663  author        = {A. Brahme},
25664  title         = {Treatment Optimization: Using Physical and Radiobiological Objective Functions},
25665  booktitle     = {Radiation Therapy Physics},
25666  publisher     = {Springer-Verlag},
25667  year          = {1995},
25668  editor        = {A. R. Smith},
25669  address       = {Berlin},
25670  pages         = {209--246}
25671}
25672
25673@TechReport{      branch:getting,
25674  author        = {M. A. Branch},
25675  title         = {Getting {CUTE} with {M}atlab},
25676  institution   = {Cornell University},
25677  year          = {1994},
25678  type          = {Cornell Theory Center Report},
25679  number        = {CTC94TR194},
25680  address       = {Ithaca, New York}
25681}
25682
25683@Article{         brearley.mitra.ea:analysis,
25684  author        = {A. Brearley and G. Mitra and H. Williams},
25685  title         = {Analysis of Mathematical Programming Problems Prior to Applying the Simplex
25686                  Algorithm},
25687  journal       = {Mathematical Programming},
25688  year          = {1975},
25689  volume        = {8},
25690  pages         = {54--83}
25691}
25692
25693@Article{         bredensteiner.bennett:feature,
25694  author        = {E. Bredensteiner and K. Bennett},
25695  title         = {Feature Minimization within Decision Trees},
25696  journal       = {Computational Optimization and Applications},
25697  year          = {1998},
25698  volume        = {10},
25699  pages         = {111--126}
25700}
25701
25702@Article{         bregman:relaxation,
25703  author        = {L. M. Bregman},
25704  title         = {The Relaxation Method of Finding the Common Point of Convex Sets and its
25705                  Application to the Solution of Problems in Convex Programming},
25706  journal       = {USSR Computational Mathematics and Mathematical Physics},
25707  year          = {1967},
25708  volume        = {7},
25709  pages         = {200--217}
25710}
25711
25712@Book{            brenner.hall:making,
25713  author        = {D. J. Brenner and E. J. Hall},
25714  title         = {Making the Radiation Therapy Decision},
25715  publisher     = {Contemporary Books},
25716  year          = {1996},
25717  address       = {Chicago, IL}
25718}
25719
25720@Book{            brent:algorithms,
25721  author        = {R. P. Brent},
25722  title         = {Algorithms for Minimization without Derivatives},
25723  publisher     = {Prentice-Hall, Inc},
25724  year          = {1973},
25725  address       = {Englewood Cliffs, New Jersey}
25726}
25727
25728@Article{         brewster.mohan.ea:three,
25729  author        = {L. Brewster and R. Mohan and G. Mageras and C. Burman and S. Leibel and Z. Fuks},
25730  title         = {Three dimensional conformal treatment planning with multileaf collimators},
25731  journal       = {International Journal of Radiation Oncology, Biology and Physics},
25732  year          = {1995},
25733  volume        = {33},
25734  number        = {5},
25735  pages         = {1081--1089}
25736}
25737
25738@Article{         brezis.lions:produits,
25739  author        = {H. Br\'{e}zis and P.--L. Lions},
25740  title         = {Produits Infinis de Resolvantes},
25741  journal       = {Israel Journal of Mathematics},
25742  year          = {1978},
25743  volume        = {29},
25744  pages         = {329--345}
25745}
25746
25747@Book{            brezis:operateurs,
25748  author        = {H. Br\'{e}zis},
25749  title         = {Op\'{e}rateurs Maximaux Monotones et Semi-Groupes de Contractions dans les
25750                  Espaces de Hilbert},
25751  publisher     = {North-Holland},
25752  address       = {Amsterdam},
25753  year          = {1973}
25754}
25755
25756@Book{            brooke.kendrick.ea:gams,
25757  author        = {A. Brooke and D. Kendrick and A. Meeraus},
25758  title         = {{GAMS}: {A} User's Guide},
25759  year          = {1988},
25760  publisher     = {The Scientific Press},
25761  address       = {South San Francisco, CA}
25762}
25763
25764@Article{         brown.demarzo.ea:computing,
25765  author        = {D. J. Brown and P. M. DeMarzo and B. C. Eaves},
25766  title         = {Computing Equilibria when Asset Markets Are Incomplete},
25767  journal       = {Econometrica},
25768  year          = {1996},
25769  volume        = {64},
25770  pages         = {1--28}
25771}
25772
25773@Article{         bruck:iterative,
25774  author        = {R. E. Bruck},
25775  title         = {An Iterative Solution of a Variational Inequality for Certain Monotone Operators
25776                  in {H}ilbert Space},
25777  journal       = {Bulletin of the American Mathematical Society},
25778  year          = {1975},
25779  volume        = {81},
25780  pages         = {890--892}
25781}
25782
25783@Article{         bunch.parlett:direct,
25784  author        = {J. R. Bunch and B. N. Parlett},
25785  title         = {Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations},
25786  journal       = {SIAM Journal on Numerical Analysis},
25787  year          = {1971},
25788  volume        = {8},
25789  pages         = {639--655}
25790}
25791
25792@Article{         burachik.iusem.ea:enlargement,
25793  author        = {R. S. Burachik and A. N. Iusem and B. F. Svaiter},
25794  title         = {Enlargement of Monotone Operators with Applications to Variational Inequalities},
25795  year          = {1997},
25796  journal       = {Set-Valued Analysis, forthcoming}
25797}
25798
25799@TechReport{      burachik.iusem:generalized,
25800  author        = {R. S. Burachik and A. N. Iusem},
25801  title         = {A Generalized Proximal Point Algorithm for the Nonlinear Complementarity
25802                  Problem},
25803  institution   = {Instituto de Matem\'{a}tica Pura e Aplicada},
25804  year          = {1995},
25805  type          = {Working Paper},
25806  address       = {Rio de Janeiro}
25807}
25808
25809@Article{         burachik.iusem:generalized*1,
25810  author        = {R. S. Burachik and A. N. Iusem},
25811  title         = {A Generalized Proximal Point Algorithm for the Variational Inequality Problem in
25812                  {A} {H}ilbert Space},
25813  year          = {1998},
25814  journal       = {SIAM Journal on Optimization},
25815  volume        = {8},
25816  pages         = {197--216}
25817}
25818
25819@Article{         burdakov:globally,
25820  author        = {O. P. Burdakov},
25821  title         = {Some Globally Convergent Modifications of {N}ewton's Method for Solving Systems
25822                  of Nonlinear Equations},
25823  journal       = {Soviet Mathematics Doklady},
25824  year          = {1980},
25825  volume        = {22},
25826  pages         = {376--379}
25827}
25828
25829@Article{         burges:tutorial,
25830  author        = {C. J. C. Burges},
25831  title         = {A Tutorial on Support Vector Machines for Pattern Recognition},
25832  journal       = {Data Mining and Knowledge Discovery},
25833  volume        = {2},
25834  number        = {2},
25835  pages         = {121-167},
25836  year          = {1998}
25837}
25838
25839@Article{         burke.ferris.ea:clarke,
25840  author        = {J. V. Burke and M. C. Ferris and M. Qian},
25841  title         = {On the {C}larke Subdifferential of the Distance Function to a Closed Set},
25842  journal       = {Journal of Mathematical Analysis and its Applications},
25843  year          = {1992},
25844  volume        = {166},
25845  pages         = {199--213},
25846  key           = {16}
25847}
25848
25849@Unpublished{     burke.ferris.ea:least,
25850  author        = {J. V. Burke and M. C. Ferris and L. Qi},
25851  title         = {A Least Squares Algorithm for Nonlinear Complementarity Problems},
25852  year          = {1994},
25853  month         = mar,
25854  note          = {Manuscript},
25855  key           = {999}
25856}
25857
25858@Article{         burke.ferris:characterization,
25859  author        = {J. V. Burke and M. C. Ferris},
25860  title         = {Characterization of Solution Sets of Convex Programs},
25861  journal       = {Operations Research Letters},
25862  year          = {1991},
25863  volume        = {10},
25864  pages         = {57--60},
25865  key           = {10}
25866}
25867
25868@Article{         burke.ferris:gauss-newton,
25869  author        = {J. V. Burke and M. C. Ferris},
25870  title         = {A {G}auss--{N}ewton Method for Convex Composite Optimization},
25871  journal       = {Mathematical Programming},
25872  year          = {1995},
25873  volume        = {71},
25874  pages         = {179--194},
25875  url           = {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1993/tr1176.ps},
25876  key           = {32}
25877}
25878
25879@Article{         burke.ferris:weak,
25880  author        = {J. V. Burke and M. C. Ferris},
25881  title         = {Weak Sharp Minima in Mathematical Programming},
25882  journal       = {SIAM Journal on Control and Optimization},
25883  year          = {1993},
25884  volume        = {31},
25885  pages         = {1340--1359},
25886  url           = {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1991/tr1050a.ps},
25887  key           = {23}
25888}
25889
25890@Article{         burke.more.ea:convergence,
25891  author        = {J. V. Burke and J. J. Mor\'{e} and G. Toraldo},
25892  title         = {Convergence Properties of Trust Region Methods for Linear and Convex
25893                  Constraints},
25894  journal       = {Mathematical Programming},
25895  year          = {1990},
25896  volume        = {47},
25897  pages         = {305--336}
25898}
25899
25900@Article{         burke.more:exposing,
25901  author        = {J. V. Burke and J. J. Mor\'{e}},
25902  title         = {Exposing Constraints},
25903  journal       = {SIAM Journal on Optimization},
25904  year          = {1994},
25905  volume        = {4},
25906  pages         = {573--595}
25907}
25908
25909@Article{         burke.more:identification,
25910  author        = {J. V. Burke and J. J. Mor\'{e}},
25911  title         = {On the Identification of Active Constraints},
25912  journal       = {SIAM Journal on Numerical Analysis},
25913  year          = {1988},
25914  volume        = {25},
25915  pages         = {1197--1211}
25916}
25917
25918@Article{         burke.poliquin:optimality,
25919  author        = {J. V. Burke and R. A. Poliquin},
25920  title         = {Optimality Conditions for Non Finite--Valued Convex Composite Functions},
25921  journal       = {Mathematical Programming},
25922  year          = {1992},
25923  volume        = {57},
25924  pages         = {103--120}
25925}
25926
25927@Article{         burke.tseng:unified,
25928  author        = {J. V. Burke and P. Tseng},
25929  title         = {A Unified Analysis of {H}offman's Bound via {F}enchel Duality},
25930  journal       = {SIAM Journal on Optimization},
25931  year          = {1996},
25932  volume        = {6},
25933  pages         = {265--282}
25934}
25935
25936@Article{         burke.xu:global,
25937  author        = {J. V. Burke and S. Xu},
25938  title         = {The Global Linear Convergence of a Non-Interior Path-Following Algorithm for
25939                  Linear Complementarity Problems},
25940  year          = {1998},
25941  journal       = {Mathematics of Operations Research},
25942  volume        = {23},
25943  pages         = {719--735}
25944}
25945
25946@TechReport{      burke:algorithms,
25947  author        = {J. V. Burke},
25948  title         = {Algorithms for Solving Finite Dimensional Systems of Nonlinear Equations and
25949                  Inequalities that have both Global and Quadratic Convergence Properties},
25950  institution   = {Argonne National Laboratory},
25951  year          = {1985},
25952  address       = {Argonne, Illinois},
25953  number        = {ANL/MCS--TM--54},
25954  type          = {Mathematics and Computer Science Division Report}
25955}
25956
25957@Article{         burke:descent,
25958  author        = {J. V. Burke},
25959  title         = {Descent Methods for Composite Nondifferentiable Optimization Problems},
25960  journal       = {Mathematical Programming},
25961  year          = {1985},
25962  volume        = {33},
25963  pages         = {260--279}
25964}
25965
25966@Article{         burke:exact,
25967  author        = {J. V. Burke},
25968  title         = {An Exact Penalization Viewpoint of Constrained Optimization},
25969  journal       = {SIAM Journal on Control and Optimization},
25970  year          = {1991},
25971  volume        = {29},
25972  pages         = {968--998}
25973}
25974
25975@Article{         burke:identification,
25976  author        = {J. V. Burke},
25977  title         = {On the Identification of Active Constraints {II}: The Nonconvex Case},
25978  journal       = {SIAM Journal on Numerical Analysis},
25979  year          = {1990},
25980  volume        = {27},
25981  pages         = {1081--1102}
25982}
25983
25984@Article{         burke:robust,
25985  author        = {J. V. Burke},
25986  title         = {A Robust Trust Region Method for Constrained Nonlinear Programming Problem},
25987  journal       = {SIAM Journal on Optimization},
25988  year          = {1992},
25989  volume        = {2},
25990  pages         = {325--347}
25991}
25992
25993@Article{         burke:second,
25994  author        = {J. V. Burke},
25995  title         = {Second Order Necessary and Sufficient Conditions for Convex Composite {NDO}},
25996  journal       = {Mathematical Programming},
25997  year          = {1987},
25998  volume        = {38},
25999  pages         = {287--302}
26000}
26001
26002@Article{         burke:sequential,
26003  author        = {J. V. Burke},
26004  title         = {A Sequential Quadratic Programming Method for Potentially Infeasible Mathematical
26005                  Programs},
26006  journal       = {Journal of Mathematical Analysis and its Applications},
26007  year          = {1989},
26008  volume        = {139},
26009  pages         = {319--351}
26010}
26011
26012@Article{         burman.kutcher.ea:fitting,
26013  author        = {C. Burman and G. J. Kutcher and B. Emami and M. Goitein},
26014  title         = {Fitting of Normal Tissue Tolerance Data to an Analytical Function},
26015  journal       = {International Journal of Radiation Oncology, Biology and Physics},
26016  year          = {1991},
26017  optvolume     = {21},
26018  optpages      = {123-135}
26019}
26020
26021@TechReport{      busovaca:handling,
26022  author        = {S. Busovaca},
26023  title         = {Handling Degeneracy in a Nonlinear $\ell_1$ algorithm},
26024  institution   = {University of Waterloo},
26025  year          = {1985},
26026  address       = {Ontario},
26027  number        = {CS85 34},
26028  type          = {Technical Report}
26029}
26030
26031@Article{         butler.martin:method,
26032  author        = {T. Butler and A. V. Martin},
26033  title         = {On a Method of {C}ourant for Minimizing Functionals},
26034  journal       = {Journal of Mathematical Physics},
26035  year          = {1962},
26036  volume        = {41},
26037  pages         = {291--299}
26038}
26039
26040@Article{         calamai.more:projected,
26041  author        = {P. H. Calamai and J. J. Mor\'{e}},
26042  title         = {Projected Gradient Methods for Linearly Constrained Problems},
26043  journal       = {Mathematical Programming},
26044  year          = {1987},
26045  volume        = {39},
26046  pages         = {93--116}
26047}
26048
26049@Article{         cao.ferris:genetic,
26050  author        = {M. Cao and M. C. Ferris},
26051  title         = {Genetic Algorithms in Optimization},
26052  journal       = {Journal of Undergraduate Mathematics and its Applications},
26053  year          = {1991},
26054  volume        = {12},
26055  pages         = {81--90},
26056  key           = {17}
26057}
26058
26059@Article{         cao.ferris:interior,
26060  author        = {M. Cao and M. C. Ferris},
26061  title         = {An Interior Point Algorithm for Monotone Affine Variational Inequalities},
26062  journal       = {Journal of Optimization Theory and Applications},
26063  year          = {1994},
26064  volume        = {83},
26065  pages         = {269--283},
26066  url           = {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1992/tr1101.ps},
26067  key           = {28}
26068}
26069
26070@Article{         cao.ferris:lineality,
26071  author        = {M. Cao and M. C. Ferris},
26072  title         = {Lineality Removal for Copositive--Plus Normal Maps},
26073  year          = {1995},
26074  volume        = {2},
26075  pages         = {1--10},
26076  journal       = {Communications on Applied Nonlinear Analysis},
26077  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-02.ps},
26078  key           = {38}
26079}
26080
26081@Article{         cao.ferris:pc,
26082  author        = {M. Cao and M. C. Ferris},
26083  title         = {{$P_C$} Matrices and the Linear Complementarity Problem},
26084  journal       = {Linear Algebra and Its Applications},
26085  year          = {1996},
26086  volume        = {246},
26087  pages         = {299--312},
26088  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-01.ps},
26089  key           = {37}
26090}
26091
26092@Article{         cao.ferris:pivotal,
26093  author        = {M. Cao and M. C. Ferris},
26094  title         = {A Pivotal Method for Affine Variational Inequalities},
26095  journal       = {Mathematics of Operations Research},
26096  year          = {1996},
26097  volume        = {21},
26098  pages         = {44--64},
26099  url           = {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1992/tr1114.ps},
26100  key           = {29}
26101}
26102
26103@PhDThesis{       cao:piecewise,
26104  author        = {M. Cao},
26105  title         = {Piecewise Linear Homotopies and Affine Variational Inequalities},
26106  school        = {Computer Sciences Department, University of Wisconsin},
26107  year          = {1994},
26108  address       = {Madison, Wisconsin},
26109  note          = {Technical Report 1210}
26110}
26111
26112@Article{         caroe.schultz:dual,
26113  author        = {C. C. Car{\o}e and R. Schultz},
26114  title         = {Dual Decomposition in Stochastic Integer Programming},
26115  journal       = {Operations Research Letters},
26116  volume        = {24},
26117  pages         = {37-45},
26118  year          = {1999}
26119}
26120
26121@Article{         carol.targovnik.ea:initial,
26122  author        = {M. Carol and W. H. Grant and D. Pavord and P. Eddy and H. S. Targovnik and B.
26123                  Butler and S. Woo and J. Figura and V. Onufrey and R. Grossman and R. Selkar},
26124  title         = {Initial clinical experience with the Peacock intensity modulation of a 3-{D}
26125                  conformal radiation therapy system},
26126  journal       = {Stereotactic and Functional Neurosurgery},
26127  year          = {1996},
26128  volume        = {66},
26129  pages         = {30--34}
26130}
26131
26132@Article{         carolan.hill.ea:empirical,
26133  author        = {W. J. Carolan and J. E. Hill and J. L. Kennington and S. Niemi and S. J.
26134                  Wichmann},
26135  title         = {An Empirical Evaluation of the {KORBX} Algorithms for Military Airlift
26136                  Applications},
26137  journal       = {Operations Research},
26138  year          = {1990},
26139  volume        = {38},
26140  pages         = {240--248}
26141}
26142
26143@Article{         carroll:created,
26144  author        = {C. W. Carroll},
26145  title         = {The Created Response Surface Technique for Optimizing Nonlinear Restrained
26146                  Systems},
26147  journal       = {Operations Research},
26148  year          = {1961},
26149  volume        = {9},
26150  pages         = {169--184}
26151}
26152
26153@PhDThesis{       carroll:operations,
26154  author        = {C. W. Carroll},
26155  title         = {An Operations Research Approach to the Economic Optimization of a Kraft Pulping
26156                  Process},
26157  year          = {1959},
26158  address       = {Appleton, Wisconsin},
26159  school        = {Institute of Paper Chemistry}
26160}
26161
26162@TechReport{      casanova.dongarra:netsolve,
26163  author        = {H. Casanova and J. Dongarra},
26164  title         = {{N}et{S}olve: {A} Network Server for Solving Computational Science Problems},
26165  institution   = {University of Tennessee},
26166  year          = {1996},
26167  type          = {Technical Report}
26168}
26169
26170@TechReport{      cavalier.soyster:computational,
26171  author        = {T. M. Cavalier and A. L. Soyster},
26172  title         = {Some Computational Experience and a Modification of the {K}armarkar Algorithm},
26173  institution   = {Pennsylvania State University},
26174  year          = {1985},
26175  address       = {Pennsylvania},
26176  number        = {85-105},
26177  type          = {ISME Working Paper}
26178}
26179
26180@TechReport{      censor.iusem.ea:interior-point,
26181  author        = {Y. Censor and A. N. Iusem and S. A. Zenios},
26182  title         = {An Interior-Point Method with {B}regman Functions for the Variational Inequality
26183                  Problem with Paramonotone Operators},
26184  institution   = {University of Haifa},
26185  year          = {1994},
26186  type          = {Working Paper}
26187}
26188
26189@Article{         censor.lent:iterative,
26190  author        = {Y. Censor and A. Lent},
26191  title         = {An Iterative Row-Action Method for Interval Convex Programming},
26192  journal       = {Journal of Optimization Theory and Applications},
26193  year          = {1981},
26194  volume        = {34},
26195  pages         = {275--291}
26196}
26197
26198@InCollection{    censor.pierro.ea:iterative,
26199  author        = {Y. Censor and A. R. {De~Pierro} and T. Elfving and G. T. Herman and A. N. Iusem},
26200  title         = {On Iterative Methods for Linearly Constrained Entropy Maximization},
26201  booktitle     = {Numerical Analysis and Mathematical Modeling, Banach Center Publication Volume
26202                  XXIV},
26203  publisher     = {Banach Center},
26204  year          = {1987},
26205  editor        = {A. J. Wakulicz},
26206  address       = {Warsaw, Poland}
26207}
26208
26209@Article{         censor.segman:block-iterative,
26210  author        = {Y. Censor and J. Segman},
26211  title         = {On Block-Iterative Entropy Maximization},
26212  journal       = {Journal of Information and Optimization Science},
26213  year          = {1987},
26214  volume        = {8},
26215  pages         = {275--291}
26216}
26217
26218@Article{         censor.zenios:proximal,
26219  author        = {Y. Censor and S. A. Zenios},
26220  title         = {The Proximal Minimization Algorithm with ${D}$-functions},
26221  journal       = {Journal of Optimization Theory and Applications},
26222  year          = {1992},
26223  volume        = {73},
26224  pages         = {451--464}
26225}
26226
26227@Article{         censor:parallel,
26228  author        = {Yair Censor},
26229  title         = {Parallel Application of Block-Iterative Methods in Medical Imaging and Radiation
26230                  Therapy},
26231  journal       = {Mathematical Programming},
26232  year          = {1988},
26233  volume        = {42},
26234  pages         = {307--325}
26235}
26236
26237@Article{         censor:row-action,
26238  author        = {Yair Censor},
26239  title         = {Row-action Methods for Huge and Sparse Systems and their Applications},
26240  journal       = {SIAM Review},
26241  year          = {1981},
26242  volume        = {23},
26243  pages         = {444--466}
26244}
26245
26246@Article{         chajakis.zenios:synchronous,
26247  author        = {E. D. Chajakis and S. A. Zenios},
26248  title         = {Synchronous and Asynchronous Implementations of Relaxation Algorithms for
26249                  Nonlinear Network Optimization},
26250  journal       = {Parallel Computing},
26251  year          = {1990},
26252  note          = {To appear}
26253}
26254
26255@Article{         chamberlain.powell.ea:watchdog,
26256  author        = {R. M. Chamberlain and M. J. D. Powell and C. Lemar\'{e}chal},
26257  title         = {The Watchdog Technique for Forcing Convergence in Algorithms for Constrained
26258                  Optimization},
26259  journal       = {Mathematical Programming Study},
26260  year          = {1982},
26261  volume        = {16},
26262  pages         = {1--17}
26263}
26264
26265@Article{         chan.pang:generalized,
26266  author        = {D. Chan and J. S. Pang},
26267  title         = {The Generalized Quasi-Variational Inequality Problem},
26268  journal       = {Mathematics of Operations Research},
26269  volume        = {7},
26270  pages         = {211--222},
26271  year          = {1982}
26272}
26273
26274@Article{         charalambous:nonlinear,
26275  author        = {C. Charalambous},
26276  title         = {Nonlinear Least p--th Optimization and Nonlinear Programming},
26277  journal       = {Mathematical Programming},
26278  year          = {1977},
26279  volume        = {12},
26280  pages         = {195--225}
26281}
26282
26283@Article{         charnes.cooper.ea:duality,
26284  author        = {A. Charnes and W. W. Cooper and K. O. Kortanek},
26285  title         = {Duality, {H}aar Programs and Finite Sequence Spaces},
26286  journal       = {Proceedings of the National Academy of Sciences of the United States},
26287  year          = {1962},
26288  pages         = {783--786}
26289}
26290
26291@Book{            charnes.cooper.ea:introduction,
26292  author        = {A. Charnes and W. W. Cooper and A. Henderson},
26293  title         = {An Introduction to Linear Programming},
26294  year          = {1953},
26295  publisher     = {John Wiley \& Sons},
26296  address       = {New York}
26297}
26298
26299@TechReport{      charnes.semple:practical,
26300  author        = {A. Charnes and J. Semple},
26301  title         = {Practical Error Bounds for a Class of Quadratic Programming Problems},
26302  institution   = {CCS},
26303  year          = {1991},
26304  address       = {Austin, Texas},
26305  number        = {663},
26306  type          = {Research Report}
26307}
26308
26309@InProceedings{   charnes:fundamental,
26310  author        = {A. Charnes},
26311  title         = {Some Fundamental Theorems of Perceptron Theory and Their Geometry},
26312  booktitle     = {Computer and Information Sciences},
26313  year          = {1964},
26314  editor        = {J. T. Lou and R. H. Wilcox},
26315  publisher     = {Spartan Books},
26316  address       = {Washington, D.C.},
26317  pages         = {67--74}
26318}
26319
26320@TechReport{      chen.chen.ea:penalized,
26321  author        = {B. Chen and X. Chen and C. Kanzow},
26322  title         = {A Penalized {F}ischer-{B}urmeister {NCP}-Function: Theoretical Investigation and
26323                  Numerical Results},
26324  institution   = {Institute of Applied Mathematics, University of Hamburg},
26325  year          = {1997},
26326  type          = {Preprint},
26327  number        = {126},
26328  address       = {Hamburg, Germany}
26329}
26330
26331@Article{         chen.chen:global,
26332  author        = {B. Chen and X. Chen},
26333  title         = {A Global and Local Superlinear Continuation-Smoothing Method for ${P}_0$ +
26334                  ${R}_0$ {NCP} or Monotone {NCP}},
26335  journal       = {SIAM Journal on Optimization},
26336  year          = {1999},
26337  volume        = {9},
26338  pages         = {624--645}
26339}
26340
26341@Article{         chen.ferris.ea:fatcop,
26342  author        = {Q. Chen and M. C. Ferris and J. T. Linderoth},
26343  title         = {{FATCOP} 2.0: Advanced Features in an Opportunistic Mixed Integer Programming
26344                  Solver},
26345  journal       = {Annals of Operations Research, forthcoming},
26346  year          = {2000},
26347  url           = {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/99-11.ps},
26348  key           = {89},
26349  type          = {Data Mining Institute Technical Report},
26350  institution   = {Computer Sciences Department, University of Wisconsin},
26351  address       = {Madison, Wisconsin},
26352  number        = {99-11}
26353}
26354
26355@TechReport{      chen.ferris:fatcop,
26356  author        = {Q. Chen and M. C. Ferris},
26357  title         = {{FATCOP}: {A} Fault Tolerant {C}ondor-{PVM} Mixed Integer Program Solver},
26358  type          = {Mathematical Programming Technical Report},
26359  institution   = {Computer Sciences Department, University of Wisconsin},
26360  address       = {Madison, Wisconsin},
26361  year          = {1999},
26362  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/99-05.ps},
26363  number        = {99-05},
26364  key           = {81},
26365  annote        = {Submitted to {\em SIOPT}}
26366}
26367
26368@Article{         chen.florian:nonlinear,
26369  author        = {Y. Chen and M. Florian},
26370  title         = {The Nonlinear Bilevel Programming Problem: Formulations, Regularity, and
26371                  Optimality Conditions},
26372  journal       = {Optimization},
26373  year          = {1995},
26374  volume        = {32},
26375  pages         = {193--209}
26376}
26377
26378@TechReport{      chen.florian:o-d,
26379  author        = {Y. Chen and M. Florian},
26380  title         = {{O}-{D} demand adjustment problem with congestion: Part {I}. Model analysis and
26381                  optimality conditions},
26382  type          = {Publication},
26383  number        = {CRT-94-56},
26384  institution   = {Centre de Recherche sur les Transports, Universit\'e de Montr\'eal},
26385  address       = {Montr\'eal, Canada},
26386  year          = {1994}
26387}
26388
26389@Article{         chen.harker:continuation,
26390  author        = {B. Chen and P. T. Harker},
26391  title         = {A Continuation Method for Monotone Variational Inequalities},
26392  journal       = {Mathematical Programming},
26393  volume        = {69},
26394  pages         = {237--253},
26395  year          = {1995}
26396}
26397
26398@Article{         chen.harker:non-interior,
26399  author        = {B. Chen and P. T. Harker},
26400  title         = {A Non-Interior-Point Continuation Method for Linear Complementarity Problems},
26401  journal       = {SIAM Journal on Matrix Analysis and Applications},
26402  year          = {1993},
26403  volume        = {14},
26404  pages         = {1168--1190}
26405}
26406
26407@Article{         chen.harker:smooth,
26408  author        = {B. Chen and P. T. Harker},
26409  title         = {Smooth Approximations to Nonlinear Complementarity Problems},
26410  journal       = {SIAM Journal on Optimization},
26411  year          = {1997},
26412  volume        = {7},
26413  pages         = {403--420}
26414}
26415
26416@Article{         chen.mangasarian:class,
26417  author        = {Chunhui Chen and O. L. Mangasarian},
26418  title         = {A Class of Smoothing Functions for Nonlinear and Mixed Complementarity Problems},
26419  journal       = {Computational Optimization and Applications},
26420  year          = {1996},
26421  volume        = {5},
26422  pages         = {97--138}
26423}
26424
26425@Article{         chen.mangasarian:smoothing,
26426  author        = {Chunhui Chen and O. L. Mangasarian},
26427  title         = {Smoothing Methods for Convex Inequalities and Linear Complementarity Problems},
26428  journal       = {Mathematical Programming},
26429  year          = {1995},
26430  volume        = {78},
26431  pages         = {51--70}
26432}
26433
26434@Article{         chen.nashed.ea:convergence,
26435  author        = {X. Chen and Z. Nashed and L. Qi},
26436  title         = {Convergence of {N}ewton's Method for Singular Smooth and Nonsmooth Equations
26437                  using Adaptive Outer Inverses},
26438  year          = {1997},
26439  journal       = {SIAM Journal on Optimization},
26440  volume        = {7},
26441  pages         = {445--462}
26442}
26443
26444@Article{         chen.qi.ea:global,
26445  author        = {X. Chen and L. Qi and D. Sun},
26446  title         = {Global and Superlinear Convergence of the Smoothing {N}ewton Method and its
26447                  Application to General Box Constrained Variational Inequalities},
26448  year          = {1998},
26449  journal       = {Mathematics of Computation},
26450  volume        = {67},
26451  pages         = {519--540}
26452}
26453
26454@Article{         chen.teboulle:convergence,
26455  author        = {G. Chen and M. Teboulle},
26456  title         = {A Convergence Analysis of Proximal-Like Minimization Algorithms Using {B}regman
26457                  Functions},
26458  journal       = {SIAM Journal on Optimization},
26459  year          = {1993},
26460  volume        = {3},
26461  pages         = {538--543}
26462}
26463
26464@Article{         chen.ye:homotopy-smoothing,
26465  author        = {X.~Chen and Y.~Ye},
26466  title         = {On Homotopy-Smoothing Methods for Variational Inequalities},
26467  year          = {1999},
26468  journal       = {SIAM Journal on Control and Optimization},
26469  volume        = {37},
26470  pages         = {589--616}
26471}
26472
26473@PhDThesis{       chen:forward-backward,
26474  author        = {G. H.--G. Chen},
26475  title         = {Forward--Backward Splitting Techniques: Theory and Applications},
26476  school        = {University of Washington},
26477  year          = {1994}
26478}
26479
26480@PhDThesis{       chen:smoothing,
26481  author        = {Chunhui Chen},
26482  title         = {Smoothing Methods in Mathematical Programming},
26483  school        = {Computer Sciences Department, University of Wisconsin},
26484  year          = {1995},
26485  address       = {Madison, Wisconsin},
26486  note          = {Available from ftp://ftp.cs.wisc.edu/math-prog/tech-reports/},
26487  annote        = {Mathematical Programming Technical Report 95-12}
26488}
26489
26490@Book{            cheney:introduction,
26491  author        = {E. W. Cheney},
26492  title         = {Introduction to Approximation Theory},
26493  year          = {1966},
26494  publisher     = {McGraw--Hill},
26495  address       = {New York}
26496}
26497
26498@Article{         cho.kuterdem.ea:spherical,
26499  author        = {P. S. Cho and H. G. Kuterdem and R. J. Marks},
26500  title         = {A spherical dose model for radiosurgery treatment planning},
26501  journal       = {Physics in Medicine and Biology},
26502  year          = {1998},
26503  volume        = {43},
26504  pages         = {3145--3148}
26505}
26506
26507@Article{         cho.lee.ea:optimization,
26508  author        = {P. S. Cho and S. Lee and R. J. Marks and S. Oh and S. Sutlief and H. Phillips},
26509  title         = {Optimization of intensity modulated beams with volume constraints using two
26510                  methods: cost function minimization and projection onto convex sets},
26511  journal       = {Medical Physics},
26512  year          = {1998},
26513  volume        = {25},
26514  number        = {4},
26515  pages         = {435--443}
26516}
26517
26518@Article{         choi.desarbo.ea:product,
26519  author        = {S. C. Choi and W. S. DeSarbo and P. T. Harker},
26520  title         = {Product Positioning Under Price Competition},
26521  journal       = {Management Science},
26522  year          = {1990},
26523  volume        = {36},
26524  pages         = {175--199}
26525}
26526
26527@Article{         chow.mallet-parret.ea:finding,
26528  author        = {S. N. Chow and J. Mallet--Parret and J. A. Yorke},
26529  title         = {Finding Zeroes of Maps: Homotopy Methods that are Constructive with Probability
26530                  One},
26531  journal       = {Mathematics of Computing},
26532  year          = {1978},
26533  volume        = {32},
26534  pages         = {887--899}
26535}
26536
26537@Article{         christopherson:mathematical,
26538  author        = {D. G. Christopherson},
26539  title         = {A new mathematical method for the solution of film lubrication problems},
26540  journal       = {Proceedings of the Institute of Mechanical Engineers},
26541  volume        = {146},
26542  year          = {1941},
26543  pages         = {126--135}
26544}
26545
26546@TechReport{      chun.lee.ea:implementation,
26547  author        = {B. J. Chun and S. J. Lee and S. M. Robinson},
26548  title         = {An Implementation of the Bundle Decomposition Algorithm},
26549  institution   = {Department of Industrial Engineering, University of Wisconsin},
26550  year          = {1991},
26551  address       = {Madison, Wisconsin},
26552  number        = {91-6}
26553}
26554
26555@Article{         chung:np-completeness,
26556  author        = {S.--J. Chung},
26557  title         = {{NP}-Completeness of the Linear Complementarity Problem},
26558  journal       = {Journal of Optimization Theory and Applications},
26559  volume        = {60},
26560  year          = {1989},
26561  pages         = {393--399}
26562}
26563
26564@Book{            chvatal:linear,
26565  author        = {V. Chv\'atal},
26566  title         = {Linear Programming},
26567  year          = {1983},
26568  publisher     = {W. H. Freeman and Company},
26569  address       = {New York}
26570}
26571
26572@Book{            ciarlet:finite,
26573  author        = {P. G. Ciarlet},
26574  title         = {The Finite Element Method for Elliptic Problems},
26575  year          = {1978},
26576  publisher     = {North-Holland},
26577  address       = {New York}
26578}
26579
26580@Article{         cinquini.contro:optimal,
26581  author        = {C. Cinquini and R. Contro},
26582  title         = {Optimal design of beams discretized by elastic plastic finite element},
26583  journal       = {Computers \& Structures},
26584  volume        = {20},
26585  year          = {1985},
26586  pages         = {475--585}
26587}
26588
26589@Book{            clarke:optimization,
26590  author        = {F. H. Clarke},
26591  title         = {Optimization and Nonsmooth Analysis},
26592  year          = {1983},
26593  publisher     = {John Wiley \& Sons},
26594  address       = {New York}
26595}
26596
26597@InProceedings{   cleveland.smith:genetic,
26598  crossref      = {schaeffer:third},
26599  author        = {G. A. Cleveland and S. F. Smith},
26600  title         = {Using Genetic Algorithms to Schedule Flow Shop Releases},
26601  pages         = {160--169}
26602}
26603
26604@Book{            cochran:sampling,
26605  author        = {W. Cochran},
26606  title         = {Sampling Techniques},
26607  publisher     = {Wiley},
26608  year          = {1977},
26609  address       = {New York},
26610  edition       = {Third}
26611}
26612
26613@Article{         coleman.conn:nonlinear,
26614  author        = {T. F. Coleman and A. R. Conn},
26615  title         = {Nonlinear Programming via an Exact Penalty Function Method: Asymptotic Analysis},
26616  journal       = {Mathematical Programming},
26617  year          = {1982},
26618  volume        = {24},
26619  pages         = {123--136}
26620}
26621
26622@Article{         coleman.conn:nonlinear*1,
26623  author        = {T. F. Coleman and A. R. Conn},
26624  title         = {Nonlinear Programming via an Exact Penalty Function Method: Global Analysis},
26625  journal       = {Mathematical Programming},
26626  year          = {1982},
26627  volume        = {24},
26628  pages         = {137--161}
26629}
26630
26631@TechReport{      coleman.liu:interior,
26632  author        = {T. F. Coleman and J. Liu},
26633  title         = {An interior newton method for quadratic programming},
26634  institution   = {Dept. of Computer Science, Cornell University},
26635  year          = {1993},
26636  number        = {TR 93-1388},
26637  address       = {Ithaca, NY},
26638  month         = oct
26639}
26640
26641@Article{         coleman.more:estimation,
26642  author        = {T. F. Coleman and J. J. Mor\'{e}},
26643  title         = {Estimation of Sparse {J}acobian Matrices and Graph Coloring Problems},
26644  journal       = {SIAM Journal on Numerical Analysis},
26645  year          = {1983},
26646  volume        = {20},
26647  pages         = {187--209}
26648}
26649
26650@Manual{          coleman.verma:admat,
26651  author        = {T. F. Coleman and A. Verma},
26652  title         = {{ADMAT} User Guide},
26653  year          = {2000}
26654}
26655
26656@TechReport{      colville:comparative,
26657  author        = {A. R. Colville},
26658  title         = {A Comparative Study on Nonlinear Programming Codes},
26659  institution   = {IBM New York Scientific Center},
26660  year          = {1968},
26661  month         = jun,
26662  number        = {320--2949},
26663  type          = {Technical Report}
26664}
26665
26666@Article{         comi.maier:extremum,
26667  author        = {C. Comi and G. Maier},
26668  title         = {Extremum Theorem and Convergence Criterion for an Iterative Solution to the
26669                  Finite-Step Problem in Elastoplasticity with Mixed Nonlinear Hardening},
26670  journal       = {European Journal Mechanics A/Solids},
26671  volume        = {9},
26672  year          = {1990},
26673  pages         = {563--585}
26674}
26675
26676@Misc{            condon.dahl.ea:implementing,
26677  author        = {T. Condon and H. Dahl and S. Devarajan},
26678  title         = {Implementing a Computable General Equilibrium Model on {GAMS} -- The {C}ameroon
26679                  Model},
26680  year          = {1987},
26681  howpublished  = {{DRD} Discussion Paper 290},
26682  note          = {The World Bank, Washington DC}
26683}
26684
26685@Book{            conn.gould.ea:lancelot,
26686  author        = {A. R. Conn and N. I. M. Gould and Ph. L. Toint},
26687  title         = {{LANCELOT}: {A} {F}ortran package for Large--Scale Nonlinear Optimization
26688                  (Release {A})},
26689  year          = {1992},
26690  publisher     = {Springer Verlag},
26691  address       = {Heidelberg, Berlin},
26692  series        = {Springer Series in Computational Mathematics},
26693  number        = {17}
26694}
26695
26696@Article{         conn.gould.ea:numerical,
26697  author        = {A. R. Conn and N. I. M. Gould and Ph. L. Toint},
26698  title         = {Numerical Experiments with the {LANCELOT} Package (Release {A}) for Large-Scale
26699                  Nonlinear Optimization},
26700  journal       = {Mathematical Programming},
26701  year          = {1996},
26702  volume        = {75},
26703  pages         = {73--110}
26704}
26705
26706@Book{            cgt,
26707  author        = {A. R. Conn and N. I. M. Gould and Ph. L. Toint},
26708  title         = {Trust-Region Methods},
26709  year          = {2000},
26710  publisher     = {SIAM},
26711  address       = {Philadelphia, Pennsylvania}
26712}
26713
26714@InCollection{    conn.toint:algorithm,
26715  author        = {A. R. Conn and Ph. L. Toint},
26716  title         = {An Algorithm using Quadratic Interpolation for Unconstrained Derivative Free
26717                  Optimization},
26718  booktitle     = {Nonlinear Optimization and Applications},
26719  editor        = {G. Di Pillo and F. Giannessi},
26720  year          = {1996},
26721  publisher     = {Plenum Press},
26722  address       = {New York}
26723}
26724
26725@Article{         conry.seireg:mathematical,
26726  author        = {T. F. Conry and A. Seireg},
26727  title         = {A Mathematical Programming Method for Design for Elastic Bodies in Contact},
26728  journal       = {{ASME} Transactions Journal of Applied Mechanics},
26729  volume        = {93},
26730  year          = {1971},
26731  pages         = {387--392}
26732}
26733
26734@Article{         cook.gerards.ea:sensitivity,
26735  author        = {W. Cook and A. M. H. Gerards and A. Schrijver and \'{E}. Tardos},
26736  title         = {Sensitivity Results in Integer Linear Programming},
26737  journal       = {Mathematical Programming},
26738  year          = {1986},
26739  volume        = {34},
26740  pages         = {251--264}
26741}
26742
26743@Article{         cook:taxonomy,
26744  author        = {S. A. Cook},
26745  title         = {A Taxonomy of Problems with Fast Parallel Algorithms},
26746  journal       = {Information and Control},
26747  year          = {1985},
26748  volume        = {64},
26749  pages         = {2--22}
26750}
26751
26752@Article{         cooper:gradient,
26753  author        = {R. E. M. Cooper},
26754  title         = {A gradient method of optimizing external-beam radiotherapy treatment plans},
26755  journal       = {Radiology},
26756  year          = {1978},
26757  volume        = {128},
26758  pages         = {235--243}
26759}
26760
26761@Article{         cormack:problem,
26762  author        = {A. M. Cormack},
26763  title         = {A problem in roatation therapy with x-rays},
26764  journal       = {International Journal of Radiation Oncology, Biology and Physics},
26765  year          = {1987},
26766  volume        = {13},
26767  pages         = {623--630}
26768}
26769
26770@Article{         cormack:problem*1,
26771  author        = {A. M. Cormack},
26772  title         = {A problem in roatation therapy with x-rays2: dose distributions with an axis of
26773                  symmetry},
26774  journal       = {International Journal of Radiation Oncology, Biology and Physics},
26775  year          = {1987},
26776  volume        = {13},
26777  pages         = {1921--1925}
26778}
26779
26780@Article{         cottle.dantzig:complementary,
26781  author        = {R. W. Cottle and G. B. Dantzig},
26782  title         = {Complementary Pivot Theory of Mathematical Programming},
26783  journal       = {Linear Algebra and Its Applications},
26784  year          = {1968},
26785  volume        = {1},
26786  pages         = {103--125}
26787}
26788
26789@Article{         cottle.dantzig:generalization,
26790  author        = {R. W. Cottle and G. B. Dantzig},
26791  title         = {A Generalization of the Linear Complementarity Problem},
26792  journal       = {Journal of Combinatorial Theory},
26793  year          = {1970},
26794  volume        = {8},
26795  pages         = {79--90}
26796}
26797
26798@Book{            cottle.giannessi.ea:variational,
26799  author        = {R. W. Cottle and F. Giannessi and J.--L. Lions},
26800  title         = {Variational Inequalities and Complementarity Problems: Theory and Applications},
26801  year          = {1980},
26802  publisher     = {John Wiley \& Sons},
26803  address       = {New York}
26804}
26805
26806@InCollection{    cottle.goheen:special,
26807  author        = {R. W. Cottle and M. S. Goheen},
26808  title         = {A Special Class of Large Quadratic Programs},
26809  pages         = {361--390},
26810  crossref      = {mangasarian.meyer.ea:nonlinear*3}
26811}
26812
26813@Article{         cottle.golub.ea:solution,
26814  author        = {R. W. Cottle and G. H. Golub and R. S. Sacher},
26815  title         = {On the Solution of Large Structured Complementarity Problems: The Block
26816                  Partitioned Case},
26817  journal       = {Applied Mathematics and Optimization},
26818  year          = {1978},
26819  volume        = {4},
26820  pages         = {347--363}
26821}
26822
26823@Book{            cottle.pang.ea:linear,
26824  author        = {R. W. Cottle and J. S. Pang and R. E. Stone},
26825  title         = {The Linear Complementarity Problem},
26826  year          = {1992},
26827  publisher     = {Academic Press},
26828  address       = {Boston}
26829}
26830
26831@Article{         cottle.pang.ea:sufficient,
26832  author        = {R. W. Cottle and J. S. Pang and V. Venkateswaran},
26833  title         = {Sufficient Matrices and the Linear Complementarity Problem},
26834  journal       = {Linear Algebra and Its Applications},
26835  year          = {1989},
26836  volume        = {114/115},
26837  pages         = {231--249}
26838}
26839
26840@PhDThesis{       cottle:nonlinear,
26841  author        = {R. W. Cottle},
26842  title         = {Nonlinear programs with positively bounded {J}acobians},
26843  school        = {Department of Mathematics, University of California},
26844  year          = {1964},
26845  address       = {Berkeley, California}
26846}
26847
26848@Article{         cottle:nonlinear*1,
26849  author        = {R. W. Cottle},
26850  title         = {Nonlinear programs with positively bounded {J}acobians},
26851  journal       = {Journal of the Society for Industrial and Applied Mathematics},
26852  volume        = {14},
26853  year          = {1966},
26854  pages         = {147--158}
26855}
26856
26857@InCollection{    cottle:principal,
26858  author        = {R. W. Cottle},
26859  title         = {The principal pivoting method of quadratic programming},
26860  booktitle     = {Mathematics of the Decision Sciences, Part 1},
26861  publisher     = {American Mathematical Society},
26862  editor        = {G. B. Dantzig and Jr. A. F. Veinott},
26863  address       = {Providence, Rhode Island},
26864  year          = {1968},
26865  pages         = {144--162}
26866}
26867
26868@Unpublished{     courant:calculus,
26869  author        = {R. Courant},
26870  title         = {Calculus of Variations and Supplementary Notes and Exercises},
26871  year          = {1956},
26872  note          = {Supplementary notes by M. Kruskal and H. Rubin, revised and amended by J. Moser,
26873                  New York University}
26874}
26875
26876@Article{         courant:variational,
26877  author        = {R. Courant},
26878  title         = {Variational Methods for the Solution of Problems of Equilibrium and Vibration},
26879  journal       = {Bulletin of the American Mathematical Society},
26880  year          = {1943},
26881  volume        = {49},
26882  pages         = {1--23}
26883}
26884
26885@Book{            cristianini.shawe-taylor:introduction,
26886  author        = {N. Cristianini and J. Shawe-Taylor},
26887  title         = {An Introduction to Support Vector Machines},
26888  publisher     = {Cambridge University Press},
26889  address       = {Cambridge},
26890  year          = {2000}
26891}
26892
26893@Article{         cromme:strong,
26894  author        = {L. Cromme},
26895  title         = {Strong Uniqueness},
26896  journal       = {Numerische Mathematik},
26897  year          = {1978},
26898  volume        = {29},
26899  pages         = {179--193}
26900}
26901
26902@Article{         crowder.johnson.ea:solving,
26903  author        = {H. Crowder and E. L. Johnson and M. W. Padberg},
26904  title         = {Solving Large Scale Zero-One Linear Programming Problems},
26905  journal       = {Operations Research},
26906  year          = {1983},
26907  volume        = {31},
26908  pages         = {803--834}
26909}
26910
26911@Article{         cryer.dempster:equivalence,
26912  author        = {C. W. Cryer and M. A. H. Dempster},
26913  title         = {Equivalence of Linear Complementarity Problems and Linear Programs in Vector
26914                  Lattice {H}ilbert Spaces},
26915  journal       = {SIAM Journal on Control and Optimization},
26916  year          = {1980},
26917  volume        = {18},
26918  pages         = {76--89}
26919}
26920
26921@Article{         cryer:method,
26922  author        = {C. W. Cryer},
26923  title         = {The method of {C}hristopherson for solving free boundary problems for infinite
26924                  journal bearings by means of finite differences},
26925  journal       = {Mathematics of Computation},
26926  volume        = {25},
26927  year          = {1971},
26928  pages         = {435--553}
26929}
26930
26931@Article{         cryer:solution,
26932  author        = {C. W. Cryer},
26933  title         = {The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation},
26934  journal       = {SIAM Journal on Control and Optimization},
26935  year          = {1971},
26936  volume        = {9},
26937  pages         = {385--392}
26938}
26939
26940@Article{         cryer:solution*1,
26941  author        = {C. W. Cryer},
26942  title         = {The Solution of a Quadratic Programming Using Systematic Overrelaxation},
26943  journal       = {SIAM Journal on Control},
26944  year          = {1971},
26945  volume        = {9},
26946  pages         = {385--392}
26947}
26948
26949@Manual{          culler:split-c,
26950  author        = {D. Culler},
26951  title         = {The Split--{C} Programming Language},
26952  organization  = {Computer Science Department, University of California, Berkeley}
26953}
26954
26955@InProceedings{   cun.denker.ea:optimal,
26956  author        = {Y. le Cun and J. S. Denker and S. A. Solla},
26957  title         = {Optimal Brain Damage},
26958  booktitle     = {Advances in Neural Information Processing Systems II {(Denver 1989)}},
26959  year          = {1990},
26960  editor        = {D. S. Touretzky},
26961  publisher     = {Morgan Kaufmann},
26962  address       = {San Mateo, California},
26963  pages         = {598--605}
26964}
26965
26966@TechReport{      czyzyk.mehrotra.ea:pcx,
26967  author        = {J. Czyzyk and S. Mehrotra and S. J. Wright},
26968  title         = {{PCx} Users Guide},
26969  institution   = {Optimization Technology Center, Argonne National Laboratory and Northwestern
26970                  University},
26971  year          = {1996},
26972  type          = {Technical Report},
26973  number        = {OTC 96/01}
26974}
26975
26976@TechReport{      czyzyk.mesnier.ea:network-enabled,
26977  address       = {Argonne, Illinois},
26978  author        = {J. Czyzyk and M. P. Mesnier and J. J. Mor\'e},
26979  institution   = {Argonne National Laboratory},
26980  number        = {MCS-P615-0996},
26981  title         = {The {N}etwork-{E}nabled {O}ptimization {S}erver},
26982  type          = {Preprint},
26983  year          = {1996}
26984}
26985
26986@Article{         czyzyk.wisniewski.ea:optimization,
26987  title         = {Optimization Case Studies in the {NEOS} Guide},
26988  author        = {J. Czyzyk and T. Wisniewski and S. J. Wright},
26989  journal       = {SIAM Review},
26990  volume        = {41},
26991  pages         = {148--163},
26992  year          = {1999}
26993}
26994
26995@Article{         dai.laan.ea:simplicial,
26996  author        = {Y. Dai and G. van der Laan and A. J. J. Talman and Y. Yamamoto},
26997  title         = {A Simplicial Algorithm for the Nonlinear Stationary Problem on an Unbounded
26998                  Polyhedron},
26999  journal       = {SIAM Journal on Optimization},
27000  year          = {1991},
27001  volume        = {1},
27002  pages         = {151--165}
27003}
27004
27005@Article{         dai.talman:linear,
27006  author        = {Y. Dai and D. Talman},
27007  title         = {Linear Stationary Point Problems on Unbounded Polyhedra},
27008  journal       = {Mathematics of Operations Research},
27009  year          = {1993},
27010  pages         = {635--644}
27011}
27012
27013@Book{            daniel:approximate,
27014  author        = {J. W. Daniel},
27015  title         = {The approximate minimization of functionals},
27016  year          = {1971},
27017  publisher     = {Prentice-Hall, Inc},
27018  address       = {Englewood Cliffs, New Jersey}
27019}
27020
27021@Article{         danskin:theory,
27022  author        = {J. M. Danskin},
27023  title         = {The Theory of Min--Max, with Applications},
27024  journal       = {SIAM Journal on Applied Mathematics},
27025  year          = {1964},
27026  volume        = {14},
27027  pages         = {641--664}
27028}
27029
27030@Book{            danskin:theory*1,
27031  author        = {J. M. Danskin},
27032  title         = {The Theory of Min--Max},
27033  year          = {1967},
27034  publisher     = {Springer-Verlag},
27035  address       = {New York}
27036}
27037
27038@InCollection{    dantzig.cottle:positive,
27039  author        = {G. B. Dantzig and R. W. Cottle},
27040  title         = {Positive (semi-)definite programming},
27041  booktitle     = {Nonlinear Programming},
27042  publisher     = {North-Holland},
27043  editor        = {J. Abadie},
27044  address       = {Amsterdam},
27045  year          = {1967},
27046  pages         = {55--73}
27047}
27048
27049@Article{         dantzig.manne:complementarity,
27050  author        = {G. B. Dantzig and A. S. Manne},
27051  title         = {A Complementarity Algorithm for an Optimal Captial Path with Invariant
27052                  Proportions},
27053  journal       = {Journal of Economic Theory},
27054  year          = {1974},
27055  volume        = {9},
27056  pages         = {312--323}
27057}
27058
27059@Article{         dantzig.wolfe:decomposition,
27060  author        = {G. B. Dantzig and P. Wolfe},
27061  title         = {Decomposition Principle for Linear Programs},
27062  journal       = {Operations Research},
27063  year          = {1960},
27064  volume        = {8},
27065  pages         = {101--111}
27066}
27067
27068@Book{            dantzig:linear,
27069  author        = {G. B. Dantzig},
27070  title         = {Linear Programming and Extensions},
27071  year          = {1963},
27072  publisher     = {Princeton University Press},
27073  address       = {Princeton, New Jersey}
27074}
27075
27076@Manual{          dash:xpress-mp,
27077  title         = {{XPRESS-MP} User Guide},
27078  organization  = {Dash Associates},
27079  address       = {Blisworth House, Blisworth, Northants, UK},
27080  note          = {http://www.dashopt.com/}
27081}
27082
27083@Book{            davis:handbook,
27084  author        = {L. D. Davis},
27085  title         = {The Handbook of Genetic Algorithms},
27086  year          = {1990},
27087  publisher     = {Van Nostrand Reinhold}
27088}
27089
27090@TechReport{      davis:users,
27091  author        = {T. A. Davis},
27092  title         = {Users' guide for the unsymmetric-pattern multifrontal Package ({UMFPACK})},
27093  type          = {{Technical Report}},
27094  year          = {1993},
27095  institution   = {Computer and Information Sciences Department, University of Florida},
27096  address       = {Gainesville, Florida}
27097}
27098
27099@TechReport{      dax:computation,
27100  author        = {A. Dax},
27101  title         = {The Computation of Descent Directions at Degenerate Points},
27102  institution   = {Hydrological Service of Israel},
27103  year          = {1985},
27104  type          = {Technical Report}
27105}
27106
27107@Article{         dax:note,
27108  author        = {A. Dax},
27109  title         = {A Note on Optimality Conditions for the Euclidean Multifacility Location
27110                  Problem},
27111  journal       = {Mathematical Programming},
27112  year          = {1986},
27113  volume        = {36},
27114  pages         = {72--80}
27115}
27116
27117@Article{         deasy:multiple,
27118  author        = {J. O. Deasy},
27119  title         = {Multiple local minima in radiotherapy optimization problems with dose volume
27120                  constraints},
27121  journal       = {Medical Physics},
27122  year          = {1997},
27123  optvolume     = {24},
27124  optnumber     = {7},
27125  optpages      = {1157-1161}
27126}
27127
27128@Article{         deboor.ron:computational,
27129  author        = {C. {deBoor} and A. Ron},
27130  title         = {Computational Aspects of Polynomial Interpolation in Several Variables},
27131  journal       = {Mathematics of Computation},
27132  year          = {1992},
27133  volume        = {58},
27134  pages         = {705--727}
27135}
27136
27137@Article{         debremaecker.ferris.ea:compressional,
27138  author        = {J.--C. {De~Bremaecker} and M. C. Ferris and D. Ralph},
27139  title         = {Compressional Fractures considered as Contact Problems and Mixed Complementarity
27140                  Problems},
27141  year          = {2000},
27142  key           = {82},
27143  journal       = {Engineering Fracture Mechanics},
27144  volume        = {66},
27145  pages         = {287--303}
27146}
27147
27148@Article{         debremaecker.ferris:comparison,
27149  author        = {J.--C. {De~Bremaecker} and M. C. Ferris},
27150  title         = {A Comparison of Two Algorithms for Solving Closed Crack Problems},
27151  year          = {2000},
27152  key           = {90},
27153  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/00-01.ps},
27154  journal       = {Engineering Fracture Mechanics},
27155  volume        = {66},
27156  pages         = {601--605},
27157  institution   = {Computer Sciences Department, University of Wisconsin},
27158  address       = {Madison, Wisconsin},
27159  number        = {00-01}
27160}
27161
27162@Article{         dedonato.maier:mathematical,
27163  author        = {O. {De~Donato} and G. Maier},
27164  title         = {Mathematical programming methods for the inelastic analysis of reinforced
27165                  concrete frames allowing for limited rotation capacity},
27166  journal       = {International Journal for Numerical Methods in Engineering},
27167  volume        = {4},
27168  year          = {1972},
27169  pages         = {307--329}
27170}
27171
27172@Book{            deimling:nonlinear,
27173  author        = {K. Deimling},
27174  title         = {Nonlinear Functional Analysis},
27175  publisher     = {Springer-Verlag},
27176  year          = {1985}
27177}
27178
27179@PhDThesis{       dejong:analysis,
27180  author        = {K. A. De~Jong},
27181  title         = {An Analysis of the Behavior of a Class of Genetic Adaptive Systems},
27182  year          = {1975},
27183  school        = {University of Michigan},
27184  note          = {Dissertation Abstracts International 36(10), 5140B}
27185}
27186
27187@Article{         deleone.mangasarian.ea:multi-sweep,
27188  author        = {R. {De~Leone} and O. L. Mangasarian and T.-H. Shiau},
27189  title         = {Multi-Sweep Asynchronous Parallel Successive Overelaxation for the Nonsymmetric
27190                  Linear Complementarity Problem},
27191  journal       = {Annals of Operations Research},
27192  year          = {1990},
27193  volume        = {22},
27194  pages         = {43--54}
27195}
27196
27197@InCollection{    deleone.mangasarian:serial,
27198  author        = {R. {De~Leone} and O. L. Mangasarian},
27199  title         = {Serial and Parallel Solution of Large Scale Linear Programs by Augmented
27200                  {L}agrangian Successive Overrelaxation},
27201  booktitle     = {Optimization, Parallel Processing and Applications},
27202  publisher     = {Springer-Verlag},
27203  year          = {1988},
27204  editor        = {A. Kurzhanski and K. Neumann and D. Pallaschke},
27205  volume        = {304},
27206  series        = {Lecture Notes in Economics and Mathematical Systems},
27207  pages         = {103--124},
27208  address       = {Berlin}
27209}
27210
27211@TechReport{      deluca.facchinei.ea:combining,
27212  author        = {T. {De~Luca} and F. Facchinei and C. Kanzow},
27213  title         = {Combining Equation-Based Methods for the Solution of Large-Scale Nonlinear
27214                  Complementarity Problems: Theory and Numerical Results},
27215  type          = {Preprint},
27216  institution   = {Institute of Applied Mathematics, University of Hamburg},
27217  year          = {1996}
27218}
27219
27220@TechReport{      deluca.facchinei.ea:general,
27221  author        = {T. {De~Luca} and F. Facchinei and C. Kanzow},
27222  title         = {A General Framework for Solving Nonlinear Complementarity Problems: Theory and
27223                  Numerical Results},
27224  type          = {Preprint},
27225  institution   = {Institute of Applied Mathematics, University of Hamburg},
27226  year          = {1997}
27227}
27228
27229@Article{         deluca.facchinei.ea:semismooth,
27230  author        = {T. {De~Luca} and F. Facchinei and C. Kanzow},
27231  title         = {A Semismooth Equation Approach to the Solution of Nonlinear Complementarity
27232                  Problems},
27233  journal       = {Mathematical Programming},
27234  volume        = {75},
27235  pages         = {407--439},
27236  year          = {1996}
27237}
27238
27239@Article{         deluca.facchinei.ea:theoretical,
27240  author        = {T. {De~Luca} and F. Facchinei and C. Kanzow},
27241  title         = {A Theoretical and Numerical Comparison of some Semismooth Algorithms for
27242                  Complementarity Problems},
27243  year          = {1999},
27244  journal       = {Computational Optimization and Applications, forthcoming}
27245}
27246
27247@Article{         demarzo.eaves:computing,
27248  author        = {P. M. DeMarzo and B. C. Eaves},
27249  title         = {Computing Equilibria of {GEI} by Relocalization on a Grassmann Manifold},
27250  journal       = {Journal of Mathematical Economics},
27251  year          = {1996},
27252  volume        = {26},
27253  pages         = {479--497}
27254}
27255
27256@Article{         dembo.steihaug:truncated,
27257  author        = {R. S. Dembo and T. Steihaug},
27258  title         = {Truncated {N}ewton Method Algorithms for Large--Scale Unconstrained
27259                  Optimization},
27260  journal       = {Mathematical Programming},
27261  year          = {1983},
27262  volume        = {26},
27263  pages         = {190--212}
27264}
27265
27266@Article{         dembo:performance,
27267  author        = {R. S. Dembo},
27268  title         = {The Performance of {NLPNET}, {A} Large--Scale Nonlinear Network Optimizer},
27269  journal       = {Mathematical Programming Study},
27270  year          = {1986},
27271  volume        = {26},
27272  pages         = {245--248}
27273}
27274
27275@Article{         demoor.vandenberghe.ea:generalized,
27276  author        = {B. {De~Moor} and L. Vandenberghe and J. Vandewalle},
27277  title         = {The generalized linear complementarity problem and an algorithm to find all its
27278                  solutions},
27279  journal       = {Mathematical Programming},
27280  volume        = {57},
27281  year          = {1992},
27282  pages         = {415--426}
27283}
27284
27285@Book{            demyanov.vasilev:nondifferentiable,
27286  author        = {V. F. Dem\'{y}anov and L. V. Vasil\'{e}v},
27287  title         = {Nondifferentiable Optimization},
27288  publisher     = {Optimization Software, Inc.},
27289  year          = {1985},
27290  address       = {New York}
27291}
27292
27293@Article{         dennis.torczon:direct,
27294  author        = {J. E. Dennis and V. Torczon},
27295  title         = {Direct Search Methods on Parallel Machines},
27296  journal       = {SIAM Journal on Optimization},
27297  year          = {1991},
27298  volume        = {1},
27299  pages         = {448--474}
27300}
27301
27302@TechReport{      depierro.iusem:convergence,
27303  author        = {A. R. {De~Pierro} and A. N. Iusem},
27304  title         = {Convergence Properties of Iterative Methods for Symmetric Positive Semidefinite
27305                  Linear Complementarity Problems},
27306  institution   = {Instituto de Matematica, Elasticita e Ciencia da Computacao},
27307  year          = {1990},
27308  address       = {Universidade Estadual de Campinas, CP 6065, Campinas, 13081, SP, Brazil}
27309}
27310
27311@Article{         depierro.iusem:relaxed,
27312  author        = {A. R. {De~Pierro} and A. N. Iusem},
27313  title         = {A Relaxed Version of {B}regman's Method for Convex Programming},
27314  journal       = {Journal of Optimization Theory and Applications},
27315  year          = {1986},
27316  volume        = {51},
27317  pages         = {421--440}
27318}
27319
27320@Book{            dervis.melo.ea:general,
27321  author        = {K. Dervis and J. de Melo and S. Robinson},
27322  title         = {General Equilibrium Models of Development Policy},
27323  publisher     = {Cambridge University Press},
27324  year          = {1982},
27325  address       = {Cambridge, England}
27326}
27327
27328@Article{         deschutter.demoor:minimal,
27329  author        = {B. {De~Schutter} and B. {De~Moor}},
27330  title         = {Minimal Realization in the Max Algebra is an Extended Linear Complementarity
27331                  Problem},
27332  journal       = {Systems \& Control Letters},
27333  year          = {1995},
27334  pages         = {103--111}
27335}
27336
27337@Article{         desilets.golden.ea:predicting,
27338  author        = {L. DeSilets and B. Golden and Q. Wang and R. Kumar},
27339  title         = {Predicting Salinity in the {C}hesapeake {B}ay Using Backpropagation},
27340  journal       = {Computers \& Operations Research},
27341  year          = {1992},
27342  volume        = {19},
27343  pages         = {277--285}
27344}
27345
27346@PhDThesis{       desilva:sensitivity,
27347  author        = {A. H. DeSilva},
27348  title         = {Sensitivity Formulas for Nonlinear Factorable Programming and their Application
27349                  to the Solution of an Implicitly Defined Optimization Model of {US} Crude Oil
27350                  Production},
27351  school        = {George Washington University},
27352  address       = {Washington, D.C.},
27353  year          = {1978}
27354}
27355
27356@TechReport{      dijkstra:cooperating,
27357  author        = {E. W. Dijkstra},
27358  title         = {Cooperating Sequential Processes},
27359  institution   = {Technological University},
27360  year          = {1965},
27361  address       = {Eindhoven, The Netherlands},
27362  number        = {EWD--123},
27363  type          = {Technical Report}
27364}
27365
27366@Article{         dikin:iterative,
27367  author        = {I. I. Dikin},
27368  title         = {Iterative Solution of Problems of Linear and Quadratic Programming},
27369  journal       = {Soviet Mathematics Doklady},
27370  year          = {1967},
27371  volume        = {8},
27372  pages         = {674--675}
27373}
27374
27375@InCollection{    dipillo.grippo.ea:class,
27376  author        = {G. Di~Pillo and L. Grippo and F. Lampariello},
27377  title         = {A Class of Methods for the Solution of Optimization Problems with Inequalities},
27378  booktitle     = {System Modelling and Optimization},
27379  year          = {1981},
27380  editor        = {R. F. Drenick and F. Kozin},
27381  publisher     = {Springer-Verlag},
27382  address       = {Berlin}
27383}
27384
27385@Article{         dipillo.grippo:augmented,
27386  author        = {G. Di~Pillo and L. Grippo},
27387  title         = {An Augmented {L}agrangian for Inequality Constraints in Nonlinear Programming
27388                  Problems},
27389  journal       = {Journal of Optimization Theory and Applications},
27390  year          = {1982},
27391  volume        = {36},
27392  pages         = {495--519}
27393}
27394
27395@Article{         dipillo.grippo:class,
27396  author        = {G. Di~Pillo and L. Grippo},
27397  title         = {A New Class of Augmented {L}agrangians in Nonlinear Programming},
27398  journal       = {SIAM Journal on Control and Optimization},
27399  year          = {1979},
27400  volume        = {17},
27401  pages         = {618--628}
27402}
27403
27404@Article{         dipillo.grippo:continuously,
27405  author        = {G. Di~Pillo and L. Grippo},
27406  title         = {A Continuously Differentiable Exact Penalty Function for Nonlinear Programming
27407                  Problems with Inequality Constraints},
27408  journal       = {SIAM Journal on Control and Optimization},
27409  year          = {1985},
27410  volume        = {23},
27411  pages         = {72--84}
27412}
27413
27414@Article{         dipillo.grippo:exact,
27415  author        = {G. Di~Pillo and L. Grippo},
27416  title         = {An Exact Penalty Method with Global Convergence Properties for Nonlinear
27417                  Programming Problems},
27418  journal       = {Mathematical Programming},
27419  year          = {1986},
27420  volume        = {36},
27421  pages         = {1--18}
27422}
27423
27424@TechReport{      dirkse.ferris.ea:gams,
27425  author        = {S. P. Dirkse and M. C. Ferris and P. V. Preckel and T. Rutherford},
27426  title         = {The {GAMS} Callable Program Library for Variational and Complementarity Solvers},
27427  institution   = {Computer Sciences Department, University of Wisconsin},
27428  year          = {1994},
27429  address       = {Madison, Wisconsin},
27430  number        = {94-07},
27431  type          = {Mathematical Programming Technical Report},
27432  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-07.ps},
27433  key           = {25}
27434}
27435
27436@InProceedings{   dirkse.ferris:crash,
27437  crossref      = {ferris.pang:complementarity},
27438  author        = {S. P. Dirkse and M. C. Ferris},
27439  title         = {Crash Techniques for Large-Scale Complementarity Problems},
27440  pages         = {40--61},
27441  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/95-22.ps},
27442  key           = {52}
27443}
27444
27445@Article{         dirkse.ferris:mcplib,
27446  author        = {S. P. Dirkse and M. C. Ferris},
27447  title         = {{MCPLIB}: {A} Collection of Nonlinear Mixed Complementarity Problems},
27448  journal       = {Optimization Methods and Software},
27449  pages         = {319--345},
27450  volume        = {5},
27451  year          = {1995},
27452  url           = {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1994/tr1215.ps},
27453  key           = {36}
27454}
27455
27456@InCollection{    dirkse.ferris:modeling,
27457  author        = {S. P. Dirkse and M. C. Ferris},
27458  title         = {Modeling and Solution Environments for {MPEC}: {GAMS} \& {MATLAB}},
27459  year          = {1999},
27460  pages         = {127--148},
27461  editor        = {M. Fukushima and L. Qi},
27462  booktitle     = {Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods},
27463  publisher     = {Kluwer Academic Publishers},
27464  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/97-09.ps},
27465  key           = {62}
27466}
27467
27468@Article{         dirkse.ferris:path,
27469  author        = {S. P. Dirkse and M. C. Ferris},
27470  title         = {The {PATH} Solver: {A} Non-Monotone Stabilization Scheme for Mixed
27471                  Complementarity Problems},
27472  journal       = {Optimization Methods and Software},
27473  pages         = {123--156},
27474  volume        = {5},
27475  year          = {1995},
27476  url           = {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1993/tr1179.ps},
27477  key           = {33}
27478}
27479
27480@Article{         dirkse.ferris:pathsearch,
27481  author        = {S. P. Dirkse and M. C. Ferris},
27482  title         = {A Pathsearch Damped {N}ewton Method for Computing General Equilibria},
27483  journal       = {Annals of Operations Research},
27484  vol           = {68},
27485  year          = {1996},
27486  pages         = {211--232},
27487  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-03.ps},
27488  key           = {39}
27489}
27490
27491@InCollection{    dirkse.ferris:traffic,
27492  author        = {S. P. Dirkse and M. C. Ferris},
27493  title         = {Traffic Modeling and Variational Inequalities using {GAMS}},
27494  booktitle     = {Operations Research and Decision Aid Methodologies in Traffic and Transportation
27495                  Management},
27496  publisher     = {Springer-Verlag},
27497  year          = {1998},
27498  editor        = {Ph. L. Toint and M. Labbe and K. Tanczos and G. Laporte},
27499  series        = {NATO ASI Series F},
27500  volume        = {166},
27501  pages         = {136--163},
27502  key           = {61},
27503  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/97-06.ps}
27504}
27505
27506@PhDThesis{       dirkse:robust,
27507  author        = {S. P. Dirkse},
27508  title         = {Robust Solution of Mixed Complementarity Problems},
27509  school        = {Computer Sciences Department, University of Wisconsin},
27510  year          = {1994},
27511  address       = {Madison, Wisconsin},
27512  note          = {Available from ftp://ftp.cs.wisc.edu/math-prog/tech-reports/},
27513  annote        = {Mathematical Programming Technical Report 94-12}
27514}
27515
27516@TechReport{      dixon.mills:neural,
27517  author        = {L. C. Dixon and D. J. Mills},
27518  title         = {Neural Nets for Massively Parallel Optimisation},
27519  institution   = {Hatfield Polytechnic},
27520  year          = {1992},
27521  address       = {Hatfield, Hertforshire, England},
27522  number        = {Numerical Optimisation Centre Technical Report No. 259}
27523}
27524
27525@Article{         dontchev:local,
27526  author        = {A. L. Dontchev},
27527  title         = {Local Convergence of the {N}ewton method for Generalized Equations},
27528  journal       = {C.R. Acad. Sci. Paris Series I},
27529  year          = {1996},
27530  volume        = {332},
27531  pages         = {327--331}
27532}
27533
27534@Article{         douglas.rachford:numerical,
27535  author        = {J. Douglas and H. H. Rachford},
27536  title         = {On the Numerical Solution of Heat Conduction Problems in Two and Three Space
27537                  Variables},
27538  journal       = {Transactions of the American Mathematical Society},
27539  year          = {1956},
27540  volume        = {82},
27541  pages         = {421--439}
27542}
27543
27544@Article{         drud:conopt,
27545  author        = {A. Drud},
27546  title         = {{CONOPT}: {A} {GRG} Code for Large Sparse Dynamic Nonlinear Optimization
27547                  Problems},
27548  journal       = {Mathematical Programming},
27549  year          = {1985},
27550  volume        = {31},
27551  pages         = {153--191}
27552}
27553
27554@Article{         dsouza.meyer.ea:mixed,
27555  author        = {W. D. D'Souza and R. R. Meyer and M. C. Ferris and B. R. Thomadsen},
27556  title         = {Mixed Integer Programming Models for Prostate Brachytherapy Treatment
27557                  Optimization},
27558  journal       = {Medical Physics},
27559  year          = {1999},
27560  key           = {85},
27561  volume        = {26},
27562  number        = {6},
27563  pages         = {1099}
27564}
27565
27566@TechReport{      dsouza.meyer.ea:mixed*1,
27567  author        = {W. D. D'Souza and R. R. Meyer and M. C. Ferris and B. R. Thomadsen},
27568  title         = {Mixed Integer Programming Models for Prostate Brachytherapy Treatment
27569                  Optimization},
27570  year          = {1999},
27571  key           = {87},
27572  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/99-08.ps},
27573  institution   = {Computer Sciences Department, University of Wisconsin},
27574  address       = {Madison, Wisconsin},
27575  number        = {99-08},
27576  type          = {Mathematical Programming Technical Report},
27577  annote        = {Submitted to }
27578}
27579
27580@Article{         dsouza.meyer.ea:iterative,
27581  author        = {W. D. D'Souza and R. R. Meyer and B. R. Thomadsen and M. C. Ferris},
27582  title         = {An Iterative Sequential Mixed-Integer Approach to Automated Prostate
27583                  Brachytherapy Treatment Optimization},
27584  year          = {2000},
27585  key           = {96},
27586  journal       = {Physics and Medicine in Biology, forthcoming}
27587}
27588
27589@Article{         du.yu.ea:multileaf,
27590  author        = {M. N. Du and C. X. Yu and M. Symons and D. Yan and R. Taylor and R. C. Matter and
27591                  G. Gustafson and A. Martinez and J. W. Wong},
27592  title         = {A multileaf collimator field prescription preparation system for conventional
27593                  radiotherapy},
27594  journal       = {International Journal of Radiation Oncology, Biology and Physics},
27595  year          = {1994},
27596  volume        = {30},
27597  number        = {3},
27598  pages         = {707--714}
27599}
27600
27601@Article{         duda.fossum:pattern,
27602  author        = {R. O. Duda and H. Fossum},
27603  title         = {Pattern Classification by Iteratively Determined Linear and Piecewise Linear
27604                  Discriminant Functions},
27605  journal       = {IEEE Transactions on Electronic Computers},
27606  year          = {1966},
27607  volume        = {15},
27608  pages         = {220--232}
27609}
27610
27611@Book{            duda.hart:pattern,
27612  author        = {R. O. Duda and P. E. Hart},
27613  title         = {Pattern Classification and Scene Analysis},
27614  year          = {1973},
27615  publisher     = {John Wiley \& Sons},
27616  address       = {New York}
27617}
27618
27619@Book{            duff.erisman.ea:direct,
27620  author        = {I. S. Duff and A. M. Erisman and J. K. Reid},
27621  title         = {Direct Methods for Sparse Matrices},
27622  publisher     = {Oxford University Press},
27623  year          = {1986},
27624  address       = {Oxford, England}
27625}
27626
27627@InCollection{    duffin:infinite,
27628  author        = {R. J. Duffin},
27629  title         = {Infinite Programs},
27630  booktitle     = {Linear Inequalities and Related Systems},
27631  year          = {1975},
27632  editor        = {H. W. Kuhn and A. W. Tucker},
27633  publisher     = {Princeton University Press},
27634  address       = {Princeton, New Jersey},
27635  pages         = {157--170}
27636}
27637
27638@Article{         dunn.sachs:effect,
27639  author        = {J. C. Dunn and E. Sachs},
27640  title         = {The Effect of Perturbations on the Convergence Rates of Optimization Algorithms},
27641  journal       = {Applied Mathematics and Optimization},
27642  year          = {1983},
27643  volume        = {10},
27644  pages         = {143--157}
27645}
27646
27647@Article{         dunn:convergence,
27648  author        = {J. C. Dunn},
27649  title         = {On the Convergence of Projected Gradient Processes to Singular Critical Points},
27650  journal       = {Journal of Optimization Theory and Applications},
27651  year          = {1987},
27652  volume        = {55},
27653  pages         = {203--216}
27654}
27655
27656@Article{         dunn:global,
27657  author        = {J. C. Dunn},
27658  title         = {Global and Asymptotic Convergence Rate Estimates for a Class of Projected
27659                  Gradient Processes},
27660  journal       = {SIAM Journal on Control and Optimization},
27661  year          = {1981},
27662  volume        = {19},
27663  pages         = {368--400}
27664}
27665
27666@Article{         dunn:rates,
27667  author        = {J. C. Dunn},
27668  title         = {Rates of Convergence for Conditional Gradient Algorithms Near Singular and
27669                  Nonsingular Extremals},
27670  journal       = {SIAM Journal on Control and Optimization},
27671  year          = {1979},
27672  volume        = {17},
27673  pages         = {187--211}
27674}
27675
27676@Article{         dupuis.simha:sampling,
27677  author        = {P. Dupuis and R. Simha},
27678  title         = {On Sampling-Controlled Stochastic Approximation},
27679  journal       = {{IEEE} Transactions on Automatic Control},
27680  year          = {1991},
27681  volume        = {36},
27682  pages         = {915--924}
27683}
27684
27685@TechReport{      eager.ferris.ea:models,
27686  author        = {D. L. Eager and M. C. Ferris and M. K. Vernon},
27687  title         = {Models for Optimized Regional Caching in Heterogeneous Video-On-Demand Systems},
27688  institution   = {Computer Sciences Department, University of Wisconsin},
27689  year          = {1999},
27690  type          = {Technical Report},
27691  number        = {1402},
27692  address       = {Madison, Wisconsin},
27693  url           = {http: //www.cs.wisc.edu/tech-reports/reports/1999/tr1402.ps.Z},
27694  key           = {84}
27695}
27696
27697@InProceedings{   eager.ferris.ea:optimized,
27698  author        = {D. L. Eager and M. C. Ferris and M. K. Vernon},
27699  title         = {Optimized Regional Caching for On-Demand Data Delivery},
27700  year          = {1999},
27701  booktitle     = {Multimedia Computing and Networking, Proceedings of {SPIE}},
27702  volume        = {3654},
27703  address       = {Bellingham, Washington},
27704  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-10.ps},
27705  key           = {69},
27706  pages         = {301--316},
27707  annote        = {18 percent acceptance rate}
27708}
27709
27710@Article{         eager.ferris.ea:optimized*1,
27711  author        = {D. L. Eager and M. C. Ferris and M. K. Vernon},
27712  title         = {Optimized Caching in Systems with Heterogeneous Client Populations},
27713  journal       = {Performance Evaluation},
27714  year          = {2000},
27715  key           = {72},
27716  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-15.ps},
27717  volume        = {42},
27718  pages         = {163--185}
27719}
27720
27721@InProceedings{   eager.vernon:dynamic,
27722  author        = {D. L. Eager and M. K. Vernon},
27723  title         = {Dynamic Skyscraper Broadcasts for Video-On-Demand},
27724  year          = {1998},
27725  booktitle     = {Proceedings of the 4th International Workshop on Multimedia Information Systems
27726                  ({MIS '98})},
27727  pages         = {18--32},
27728  address       = {Istanbul, Turkey}
27729}
27730
27731@Article{         eaves.lemke:equivalence,
27732  author        = {B. C. Eaves and C. E. Lemke},
27733  title         = {Equivalence of {LCP} and {PLS}},
27734  journal       = {Mathematics of Operations Research},
27735  year          = {1981},
27736  volume        = {6},
27737  pages         = {475--484}
27738}
27739
27740@Article{         eaves.rothblum:relationships,
27741  author        = {B. C. Eaves and U. G. Rothblum},
27742  title         = {Relationships of Properties of Piecewise Affine Maps over Ordered Fields},
27743  journal       = {Linear Algebra and Its Applications},
27744  year          = {1990},
27745  volume        = {132},
27746  pages         = {1--63}
27747}
27748
27749@Article{         eaves:basic,
27750  author        = {B. C. Eaves},
27751  title         = {On the Basic Theorem of Complementarity},
27752  journal       = {Mathematical Programming},
27753  year          = {1971},
27754  volume        = {1},
27755  pages         = {68--87}
27756}
27757
27758@Article{         eaves:computing,
27759  author        = {B. C. Eaves},
27760  title         = {Computing Stationary Points},
27761  journal       = {Mathematical Programming Study},
27762  year          = {1978},
27763  volume        = {7},
27764  pages         = {1--14}
27765}
27766
27767@InCollection{    eaves:computing*1,
27768  author        = {B. C. Eaves},
27769  title         = {Computing Stationary Points, Again},
27770  pages         = {391--405},
27771  crossref      = {mangasarian.meyer.ea:nonlinear*3}
27772}
27773
27774@Article{         eaves:homotopies,
27775  author        = {B. C. Eaves},
27776  title         = {Homotopies for Computation of Fixed Points},
27777  journal       = {Mathematical Programming},
27778  year          = {1972},
27779  volume        = {3},
27780  pages         = {1--22}
27781}
27782
27783@Article{         eaves:linear,
27784  author        = {B. C. Eaves},
27785  title         = {The Linear Complementarity Problem},
27786  journal       = {Management Science},
27787  year          = {1971},
27788  volume        = {17},
27789  pages         = {612--634}
27790}
27791
27792@Article{         eaves:quadratic,
27793  author        = {B. C. Eaves},
27794  title         = {On Quadratic Programming},
27795  journal       = {Management Science},
27796  year          = {1971},
27797  volume        = {17},
27798  pages         = {698--711}
27799}
27800
27801@InProceedings{   eaves:short,
27802  author        = {B. C. Eaves},
27803  title         = {A Short Course in Solving Equations with {PL} Homotopies},
27804  booktitle     = {Nonlinear Programming},
27805  organization  = {American Mathematical Society},
27806  year          = {1976},
27807  editor        = {R. W. Cottle and C. E. Lemke},
27808  publisher     = {SIAM--AMS Proceedings},
27809  address       = {Providence, RI},
27810  pages         = {73--143}
27811}
27812
27813@InCollection{    ebiefung.kostreva:global,
27814  author        = {A. A. Ebiefung and M. M. Kostreva},
27815  title         = {Global Solvability of Generalized Linear Complementarity Problems and a Related
27816                  Class of Polynomial Complementarity Problems},
27817  editors       = {C. Floudas and P. Pardalos},
27818  booktitle     = {Recent Advances in Global Optimization},
27819  publisher     = {Princeton University Press},
27820  pages         = {102--124},
27821  year          = {1991}
27822}
27823
27824@TechReport{      ebiefung.kostreva:z-matrices,
27825  author        = {A. A. Ebiefung and M. M. Kostreva},
27826  title         = {{Z}--Matrices annd the Generalized Linear Complementarity Problem},
27827  institution   = {Department of Mathematical Sciences, Clemson University},
27828  year          = {1991},
27829  number        = {608},
27830  address       = {Clemson, South Carolina}
27831}
27832
27833@TechReport{      eckstein.bertsekas:alternating,
27834  author        = {J. Eckstein and D. P. Bertsekas},
27835  title         = {An Alternating Direction Method for Linear Programming},
27836  institution   = {Harvard Business School},
27837  year          = {1990},
27838  type          = {Working Paper},
27839  number        = {90-063},
27840  address       = {Boston, MA}
27841}
27842
27843@Article{         eckstein.bertsekas:douglas-rachford,
27844  author        = {J. Eckstein and D. P. Bertsekas},
27845  title         = {On the {D}ouglas-{R}achford Splitting Method and the Proximal Point Algorithm for
27846                  Maximal Monotone Operators},
27847  journal       = {Mathematical Programming},
27848  year          = {1992},
27849  pages         = {293--318},
27850  volume        = {55}
27851}
27852
27853@Article{         eckstein.bertsekas:douglas-rachford*1,
27854  author        = {J. Eckstein and D. P. Bertsekas},
27855  title         = {On the {D}ouglas--{R}achford Splitting Method and the Proximal Point Algorithm
27856                  for Maximal Monotone Operators},
27857  journal       = {Mathematical Programming},
27858  year          = {1991},
27859  note          = {To appear}
27860}
27861
27862@TechReport{      eckstein.ferris:operator,
27863  author        = {J. Eckstein and M. C. Ferris},
27864  title         = {Operator Splitting Methods for Monotone Linear Complementarity Problems},
27865  institution   = {Thinking Machines Corporation},
27866  year          = {1992},
27867  address       = {Cambridge, MA 02142},
27868  number        = {239},
27869  type          = {TMC},
27870  key           = {26}
27871}
27872
27873@Article{         eckstein.ferris:operator*1,
27874  author        = {J. Eckstein and M. C. Ferris},
27875  title         = {Operator Splitting Methods for Monotone Affine Variational Inequalities, with a
27876                  Parallel Application to Optimal Control},
27877  volume        = {10},
27878  pages         = {218--235},
27879  year          = {1998},
27880  journal       = {INFORMS Journal on Computing},
27881  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-17.ps},
27882  key           = {44}
27883}
27884
27885@Article{         eckstein.ferris:smooth,
27886  author        = {J. Eckstein and M. C. Ferris},
27887  title         = {Smooth Methods of Multipliers for Complementarity Problems},
27888  key           = {58},
27889  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/97-01.ps},
27890  year          = {1999},
27891  journal       = {Mathematical Programming},
27892  volume        = {86},
27893  pages         = {65--90}
27894}
27895
27896@InProceedings{   eckstein.hart.ea:resource,
27897  author        = {J. Eckstein and W. E. Hart and C. A. Phillips},
27898  title         = {Resource Management in a Parallel Mixed Integer Programming Package},
27899  booktitle     = {Intel Supercomputer Users Group Thirteenth Annual Conference},
27900  year          = {1997},
27901  note          = {www.cs.sandia.gov/ISUG97}
27902}
27903
27904@Article{         eckstein:alternating,
27905  author        = {J. Eckstein},
27906  title         = {The Alternating Step Method for Monotropic Programming on the {Connection Machine
27907                  CM-2}},
27908  journal       = {ORSA Journal on Computing},
27909  year          = {to appear}
27910}
27911
27912@Article{         eckstein:approximate,
27913  author        = {J. Eckstein},
27914  title         = {Approximate Iterations in {B}regman-Function-Based Proximal Algorithms},
27915  year          = {1998},
27916  journal       = {Mathematical Programming},
27917  volume        = {83},
27918  pages         = {113--124}
27919}
27920
27921@Article{         eckstein:communication,
27922  author        = {J. Eckstein},
27923  title         = {How Much Communication Does Parallel Branch and Bound Need},
27924  journal       = {{INFORMS} Journal on Computing},
27925  volume        = {9},
27926  year          = {1997},
27927  pages         = {15--29}
27928}
27929
27930@Article{         eckstein:distributed,
27931  author        = {J. Eckstein},
27932  title         = {Distributed Versus Centralized Control for Parallel Branch and Bound: {M}ixed
27933                  Integer Programming on the {CM}-5},
27934  journal       = {Computational Optimization and Applications},
27935  volume        = {7},
27936  pages         = {199--220},
27937  year          = {1997}
27938}
27939
27940@TechReport{      eckstein:lions-mercier,
27941  author        = {J. Eckstein},
27942  title         = {The {L}ions--{M}ercier Splitting Algorithm and the Alternating Direction Method
27943                  as instances of the Proximal Point Algorithm},
27944  institution   = {MIT},
27945  year          = {1988},
27946  address       = {Cambridge, Massachusetts},
27947  number        = {LIDS-P-1769}
27948}
27949
27950@Article{         eckstein:nonlinear,
27951  author        = {J. Eckstein},
27952  title         = {Nonlinear Proximal Point Algorithms Using {B}regman Functions, with Applications
27953                  to Convex Programming},
27954  journal       = {Mathematics of Operations Research},
27955  year          = {1993},
27956  pages         = {202--226},
27957  volume        = {18}
27958}
27959
27960@Article{         eckstein:parallel,
27961  author        = {J. Eckstein},
27962  title         = {Parallel Branch-and-Bound Algorithms for General Mixed Integer Programming on the
27963                  {CM}-5},
27964  journal       = {SIAM Journal on Optimization},
27965  volume        = {4},
27966  pages         = {794--814},
27967  year          = {1994}
27968}
27969
27970@TechReport{      eckstein:smooth,
27971  author        = {J. Eckstein},
27972  title         = {Smooth Methods of Multipliers for Monotone Complementarity Problems},
27973  institution   = {Rutgers Center for Operations Research, Rutgers University},
27974  address       = {New Brunswick, New Jersey},
27975  year          = {1996},
27976  type          = {Research Report},
27977  number        = {27-96}
27978}
27979
27980@PhDThesis{       eckstein:splitting,
27981  author        = {J. Eckstein},
27982  title         = {Splitting Methods for Monotone Operators, with Applications to Parallel
27983                  Optimization},
27984  school        = {Massachusetts Institute of Technology},
27985  year          = {1989},
27986  address       = {Cambridge, MA},
27987  note          = {Report LIDS-TH-1877, Laboratory for Information and Decision Systems, M.I.T.}
27988}
27989
27990@Article{         eglese:simulated,
27991  author        = {R. W. Eglese},
27992  title         = {Simulated Annealing: {A} Tool for Operational Research},
27993  journal       = {European Journal of Operations Research},
27994  year          = {1990},
27995  volume        = {46},
27996  pages         = {271--281}
27997}
27998
27999@Book{            ekeland.temam:convex,
28000  author        = {I. Ekeland and R. Temam},
28001  title         = {Convex Analysis and Variational Problems},
28002  year          = {1976},
28003  publisher     = {North--Holland},
28004  address       = {Amsterdam}
28005}
28006
28007@Article{         ekeland:variational,
28008  author        = {I. Ekeland},
28009  title         = {On the Variational Principle},
28010  journal       = {Journal of Mathematical Analysis and Applications},
28011  year          = {1974},
28012  volume        = {47},
28013  pages         = {324--353}
28014}
28015
28016@TechReport{      el-bakry.tapia.ea:formulation,
28017  author        = {A. S. El-Bakry and R. A. Tapia and T. Tsuchiya and Y. Zhang},
28018  title         = {On the formulation and theory of the primal-dual {N}ewton interior-point method
28019                  for nonlinear programming},
28020  type          = {{Technical Report TR92-40}},
28021  institution   = {{Department of Computational and Applied Mathematics, Rice University}},
28022  year          = {1992}
28023}
28024
28025@Article{         eldersveld.saunders:block,
28026  author        = {S. K. Eldersveld and M. A. Saunders},
28027  title         = {A Block-{LU} Update for Large--Scale Linear Programming},
28028  journal       = {SIAM Journal on Matrix Analysis and Applications},
28029  year          = {1992},
28030  volume        = {13},
28031  pages         = {191--201}
28032}
28033
28034@Article{         elster.neumaier:grid,
28035  author        = {C. Elster and A. Neumaier},
28036  title         = {A Grid Algorithm for Bound Constrained Optimization of Noisy Functions},
28037  journal       = {{IMA} Journal of Numerical Analysis},
28038  year          = {1995},
28039  volume        = {15},
28040  pages         = {585--608}
28041}
28042
28043@Article{         epema.livny.ea:worldwide,
28044  author        = {D. H. J. Epema and M. Livny and R. van Dantzig and X. Evers and J. Pruyne},
28045  title         = {A Worldwide Flock of Condors: Load Sharing among Workstation Clusters},
28046  journal       = {Journal on Future Generations of Computer Systems},
28047  year          = {1996},
28048  volume        = {12},
28049  pages         = {53--65}
28050}
28051
28052@Book{            ermoliev.editors:numerical,
28053  author        = {Y. Ermoliev and R. J.-B. Wets {(editors)}},
28054  title         = {Numerical Techniques for Stochastic Optimization Problems},
28055  year          = {1988},
28056  publisher     = {Springer-Verlag},
28057  address       = {Berlin}
28058}
28059
28060@TechReport{      evett.spiehler:rule,
28061  author        = {I. W. Evett and E. J. Spiehler},
28062  title         = {Rule Induction in Forensic Science},
28063  institution   = {Central Research Establishment, Home Office Forensic Science Service},
28064  year          = {1987},
28065  address       = {Aldermaston, Reading, Berkshire RG7 4PN},
28066  type          = {Technical Report}
28067}
28068
28069@Article{         evtushenko.purtov:sufficient,
28070  author        = {Y. G. Evtushenko and V. A. Purtov},
28071  title         = {Sufficient Conditions for a Minimum for Nonlinear Programming Problems},
28072  journal       = {Soviet Mathematics Doklady},
28073  year          = {1984},
28074  volume        = {30},
28075  pages         = {313--316}
28076}
28077
28078@Article{         facchinei.fischer.ea:regularity,
28079  author        = {F. Facchinei and A. Fischer and C. Kanzow},
28080  title         = {Regularity Properties of a Semismooth Reformulation of Variational Inequalities},
28081  journal       = {SIAM Journal on Optimization},
28082  year          = {1998},
28083  volume        = {8},
28084  pages         = {850--869}
28085}
28086
28087@Article{         facchinei.fischer.ea:semismooth,
28088  title         = {A Semismooth {N}ewton Method for Variational Inequalities: {T}he Case of Box
28089                  Constraints},
28090  author        = {Facchinei, Francisco and Fischer, Andreas and Kanzow, Christian},
28091  journal       = {Complementarity and Variational Problems: State of the Art},
28092  volume        = {92},
28093  pages         = {76},
28094  year          = {1997}
28095}
28096
28097@TechReport{      facchinei.fischer.ea:simply,
28098  author        = {F. Facchinei and A. Fischer and C. Kanzow and J. -M. Peng},
28099  title         = {A Simply Constrained Optimization Reformulation of {KKT} Systems Arising from
28100                  Variational Inequalities},
28101  institution   = {University of Hamburg},
28102  year          = {1996}
28103}
28104
28105@Article{         facchinei.jiang.ea:smoothing,
28106  author        = {F. Facchinei and H. Jiang and L. Qi},
28107  title         = {A Smoothing Method for Mathematical Programs with Equilibrium Constraints},
28108  year          = {1999},
28109  journal       = {Mathematical Programming},
28110  volume        = {85},
28111  pages         = {107--134}
28112}
28113
28114@Article{         facchinei.kanzow:nonsmooth,
28115  author        = {F. Facchinei and C. Kanzow},
28116  title         = {A Nonsmooth Inexact {N}ewton Method for the solution of Large-Scale Nonlinear
28117                  Complementarity Problems},
28118  year          = {1997},
28119  journal       = {Mathematical Programming},
28120  volume        = {76},
28121  pages         = {493--512}
28122}
28123
28124@Article{         facchinei.kanzow:unconstrained,
28125  author        = {F. Facchinei and C. Kanzow},
28126  title         = {On Unconstrained and Constrained Stationary Points of the {I}mplicit
28127                  {L}agrangian},
28128  year          = {1997},
28129  journal       = {Journal of Optimization Theory and Applications},
28130  volume        = {92},
28131  pages         = {99--115}
28132}
28133
28134@TechReport{      facchinei.pang:total,
28135  author        = {F. Facchinei and J. S. Pang},
28136  title         = {Total stability of variational inequalities},
28137  institution   = {Universit\'a di Roma ``La Sapienza'', Dipartimento di Informatica e Sistemistica},
28138  year          = {1988},
28139  type          = {Manuscript},
28140  address       = {Roma, Italy}
28141}
28142
28143@Article{         facchinei.soares:merit,
28144  author        = {F. Facchinei and J. Soares},
28145  title         = {A New Merit Function for Nonlinear Complementarity Problems and a Related
28146                  Algorithm},
28147  journal       = {SIAM Journal on Optimization},
28148  year          = {1997},
28149  volume        = {7},
28150  pages         = {225--247}
28151}
28152
28153@InCollection{    facchinei.soares:testing,
28154  author        = {F. Facchinei and J. Soares},
28155  title         = {Testing a new class of algorithms for nonlinear complementarity problems},
28156  booktitle     = {Variational Inequalities and Network Equilibrium Problems},
28157  publisher     = {Plenum Press},
28158  address       = {New York},
28159  editor        = {F. Giannessi and A. Maugeri},
28160  year          = {1995},
28161  pages         = {69--83}
28162}
28163
28164@InProceedings{   fahlman.lebiere:cascade-correlation,
28165  author        = {S. E. Fahlman and C. Lebiere},
28166  title         = {The cascade-correlation learning architecture},
28167  booktitle     = {Advances in Neural Information Processing Systems II {(Denver 1989)}},
28168  year          = {1990},
28169  editor        = {D. S. Touretzky},
28170  publisher     = {Morgan Kaufmann},
28171  address       = {San Mateo, California},
28172  pages         = {524--532}
28173}
28174
28175@InProceedings{   fang.geiser.ea:software,
28176  author        = {G. Fang and B. Geiser and T. R. Mackie},
28177  title         = {Software system for {UW}/{GE} tomotherapy prototype},
28178  booktitle     = {Proceedings of the XII International Conference on the Use of Computers in
28179                  Radiation Therapy, Salt Lake City},
28180  year          = {1997},
28181  editor        = {D. D. Leavitt and G. Starkshall},
28182  publisher     = {Medical Physics Publishing},
28183  address       = {St. Louis, Missouri},
28184  pages         = {332--334}
28185}
28186
28187@Book{            fang.puthenpura:linear,
28188  author        = {S.--C. Fang and S. Puthenpura},
28189  title         = {Linear Optimization and Extensions},
28190  year          = {1993},
28191  publisher     = {Prentice-Hall, Inc},
28192  address       = {Englewood Cliffs, New Jersey}
28193}
28194
28195@Article{         fayard.plateau:algorithm,
28196  author        = {D. Fayard and G. Plateau},
28197  title         = {An Algorithm for the Solution of the 0--1 Knapsack Problem},
28198  journal       = {Computing},
28199  year          = {1982},
28200  volume        = {28},
28201  pages         = {269--287}
28202}
28203
28204@Book{            feller:introduction,
28205  author        = {W. Feller},
28206  title         = {An Introduction to Probability Theory and its Applications},
28207  publisher     = {John Wiley \& Sons},
28208  year          = {1968},
28209  address       = {New York}
28210}
28211
28212@Article{         ferris.fourer.ea:expressing,
28213  author        = {M. C. Ferris and R. Fourer and D. M. Gay},
28214  title         = {Expressing Complementarity Problems and Communicating them to Solvers},
28215  journal       = {SIAM Journal on Optimization},
28216  volume        = {9},
28217  pages         = {991--1009},
28218  year          = {1999},
28219  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-02.ps},
28220  key           = {65},
28221  institution   = {Computer Sciences Department, University of Wisconsin},
28222  address       = {Madison, Wisconsin},
28223  number        = {98-02},
28224  type          = {Mathematical Programming Technical Report}
28225}
28226
28227@TechReport{      ferris.horn:nlp2mcp,
28228  author        = {M. C. Ferris and J. D. Horn},
28229  title         = {{NLP2MCP}: Automatic conversion of nonlinear programs into mixed complementarity
28230                  problems},
28231  year          = {1998},
28232  institution   = {Computer Sciences Department, University of Wisconsin},
28233  note          = {In preparation}
28234}
28235
28236@Article{         ferris.horn:partitioning,
28237  author        = {M. C. Ferris and J. D. Horn},
28238  title         = {Partitioning Mathematical Programs for Parallel Solution},
28239  year          = {1998},
28240  volume        = {80},
28241  pages         = {35--62},
28242  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/tr1232.ps},
28243  journal       = {Mathematical Programming},
28244  key           = {40}
28245}
28246
28247@Article{         ferris.kanzow.ea:feasible,
28248  author        = {M. C. Ferris and C. Kanzow and T. S. Munson},
28249  title         = {Feasible Descent Algorithms for Mixed Complementarity Problems},
28250  year          = {1999},
28251  journal       = {Mathematical Programming},
28252  volume        = {86},
28253  pages         = {475--497},
28254  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-04.ps},
28255  key           = {67}
28256}
28257
28258@InCollection{    ferris.kanzow:complementarity,
28259  author        = {M. C. Ferris and C. Kanzow},
28260  title         = {Complementarity and Related Problems: {A} Survey},
28261  booktitle     = {Handbook of Applied Optimization, forthcoming},
28262  key           = {74},
28263  publisher     = {Oxford University Press},
28264  year          = {2000},
28265  editor        = {P. M. Pardalos and M. G. C. Resende},
28266  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-17.ps},
28267  institution   = {Computer Sciences Department, University of Wisconsin},
28268  address       = {Madison, Wisconsin},
28269  number        = {98-17},
28270  type          = {Mathematical Programming Technical Report}
28271}
28272
28273@Article{         ferris.lucidi.ea:nonmonotone,
28274  author        = {M. C. Ferris and S. Lucidi and M. Roma},
28275  title         = {Nonmonotone Curvilinear Stabilization Techniques for Unconstrained Optimization},
28276  journal       = {Computational Optimization and Applications},
28277  volume        = {6},
28278  pages         = {117--136},
28279  year          = {1996},
28280  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/94-16.ps},
28281  key           = {43}
28282}
28283
28284@TechReport{      ferris.lucidi:globally,
28285  author        = {M. C. Ferris and S. Lucidi},
28286  title         = {Globally Convergent Methods for Nonlinear Equations},
28287  institution   = {Computer Sciences Department, University of Wisconsin},
28288  year          = {1991},
28289  address       = {Madison, Wisconsin},
28290  number        = {1030},
28291  url           = {ftp: //ftp.cs.wisc.edu/tech-reports/reports/1991/tr1030.ps},
28292  key           = {21}
28293}
28294
28295@Article{         ferris.lucidi:nonmonotone,
28296  author        = {M. C. Ferris and S. Lucidi},
28297  title         = {Nonmonotone Stabilization Methods for Nonlinear Equations},
28298  journal       = {Journal of Optimization Theory and Applications},
28299  year          = {1994},
28300  volume        = {81},
28301  pages         = {53--71},
28302  key           = {30}
28303}
28304
28305@Article{         ferris.mangasarian:breast,
28306  author        = {M. C. Ferris and O. L. Mangasarian},
28307  title         = {Breast Cancer Diagnosis via Linear Programming},
28308  key           = {50},
28309  journal       = {{IEEE} Computational Science and Engineering},
28310  year          = {1995},
28311  volume        = {2},
28312  pages         = {70--71}
28313}
28314
28315@Article{         ferris.mangasarian:error,
28316  author        = {M. C. Ferris and O. L. Mangasarian},
28317  title         = {Error Bounds and Strong Upper Semicontinuity for Monotone Affine Variational
28318                  Inequalities},
28319  journal       = {Annals of Operations Research},
28320  year          = {1993},
28321  volume        = {47},
28322  pages         = {293--305},
28323  url           = {ftp://ftp.cs.wisc.edu/tech-reports/reports/1991/tr1056a.ps},
28324  key           = {24}
28325}
28326
28327@Article{         ferris.mangasarian:finite,
28328  author        = {M. C. Ferris and O. L. Mangasarian},
28329  title         = {Finite Perturbation of Convex Programs},
28330  journal       = {Applied Mathematics and Optimization},
28331  year          = {1991},
28332  volume        = {23},
28333  pages         = {263--273},
28334  key           = {08}
28335}
28336
28337@Book{            ferris.mangasarian:linear,
28338  author        = {M. C. Ferris and O. L. Mangasarian},
28339  title         = {Linear Programming via {MATLAB}},
28340  publisher     = {in preparation},
28341  year          = {1995},
28342  address       = {Madison, Wisconsin}
28343}
28344
28345@Article{         ferris.mangasarian:minimum,
28346  author        = {M. C. Ferris and O. L. Mangasarian},
28347  title         = {Minimum Principle Sufficiency},
28348  journal       = {Mathematical Programming},
28349  year          = {1992},
28350  volume        = {57},
28351  pages         = {1--14},
28352  key           = {11}
28353}
28354
28355@Article{         ferris.mangasarian:parallel,
28356  author        = {M. C. Ferris and O. L. Mangasarian},
28357  title         = {Parallel Constraint Distribution},
28358  journal       = {SIAM Journal on Optimization},
28359  year          = {1991},
28360  volume        = {1},
28361  pages         = {487--500},
28362  url           = {ftp://ftp.cs.wisc.edu/tech-reports/reports/1990/tr971a.ps},
28363  key           = {18}
28364}
28365
28366@Article{         ferris.mangasarian:parallel*1,
28367  author        = {M. C. Ferris and O. L. Mangasarian},
28368  title         = {Parallel Variable Distribution},
28369  journal       = {SIAM Journal on Optimization},
28370  year          = {1994},
28371  volume        = {4},
28372  pages         = {815--832},
28373  url           = {ftp://ftp.cs.wisc.edu/tech-reports/reports/1993/tr1175.ps},
28374  key           = {31}
28375}
28376
28377@Article{         ferris.meeraus.ea:computing,
28378  title         = {Computing {W}ardropian Equilibrium in a Complementarity Framework},
28379  author        = {M. C. Ferris and A. Meeraus and T. F. Rutherford},
28380  journal       = {Optimization Methods and Software},
28381  year          = {1999},
28382  volume        = {10},
28383  pages         = {669--685},
28384  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/95-03.ps},
28385  key           = {45}
28386}
28387
28388@Article{         ferris.mesnier.ea:neos,
28389  author        = {M. C. Ferris and M. P. Mesnier and J. Mor\'{e}},
28390  title         = {{NEOS} and {C}ondor: Solving Nonlinear Optimization Problems over the
28391                  {I}nternet},
28392  year          = {2000},
28393  journal       = {{ACM} Transactions on Mathematical Software},
28394  key           = {54},
28395  volume        = {26},
28396  pages         = {1--18},
28397  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/96-08.ps},
28398  institution   = {Computer Sciences Department, University of Wisconsin},
28399  address       = {Madison, Wisconsin},
28400  number        = {96-08},
28401  type          = {Mathematical Programming Technical Report},
28402  note          = {Also available as ANL/MCS-P708-0398, Mathematics and Computer Science Division,
28403                  Argonne National Laboratory},
28404  annote        = {Revised version of: The {NEOS} System for Complementarity Problems: {PATH},
28405                  1996}
28406}
28407
28408@InCollection{    ferris.meyer:models,
28409  author        = {M. C. Ferris and R. R. Meyer},
28410  title         = {Models and Solution for On-Demand Data Delivery Problems},
28411  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/99-04.ps},
28412  key           = {80},
28413  booktitle     = {Approximation and Complexity in Numerical Optimization: Continuous and Discrete
28414                  Problems},
28415  editor        = {P. M. Pardalos},
28416  series        = {Nonconvex Optimization and its Applications},
28417  volume        = {42},
28418  address       = {Dordrect},
28419  year          = {2000},
28420  pages         = {175--188},
28421  publisher     = {Kluwer},
28422  type          = {Mathematical Programming Technical Report},
28423  institution   = {Computer Sciences Department, University of Wisconsin},
28424  number        = {99-04}
28425}
28426
28427@InProceedings{   ferris.munson.ea:homotopy,
28428  author        = {M. C. Ferris and T. S. Munson and D. Ralph},
28429  title         = {A Homotopy Method for Mixed Complementarity Problems based on the {PATH} Solver},
28430  booktitle     = {Numerical Analysis 1999},
28431  key           = {88},
28432  year          = {2000},
28433  editor        = {D. F. Griffiths and G. A. Watson},
28434  series        = {Research Notes in Mathematics},
28435  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/99-09.ps},
28436  address       = {London},
28437  pages         = {143--167},
28438  publisher     = {Chapman and Hall},
28439  institution   = {Computer Sciences Department, University of Wisconsin},
28440  number        = {99-09},
28441  type          = {Mathematical Programming Technical Report}
28442}
28443
28444@TechReport{      ferris.munson.ea:practical,
28445  author        = {M. C. Ferris and T. S. Munson and K. Sinapiromsaran},
28446  title         = {A Practical Approach to Sample-Path Simulation Optimization},
28447  type          = {Data Mining Institute Technical Report},
28448  institution   = {Computer Sciences Department, University of Wisconsin},
28449  address       = {Madison, Wisconsin},
28450  year          = {2000},
28451  url           = {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/00-03.ps},
28452  number        = {00-03},
28453  key           = {92},
28454  annote        = {To appear in WSC 2000}
28455}
28456
28457@InCollection{    ferris.munson:case,
28458  author        = {M. C. Ferris and T. S. Munson},
28459  title         = {Case Studies in Complementarity: Improving Model Formulation},
28460  booktitle     = {Ill--Posed Variational Problems and Regularization Techniques},
28461  key           = {73},
28462  pages         = {79--98},
28463  publisher     = {Springer Verlag},
28464  year          = {1999},
28465  editor        = {M. Th\'{e}ra and R. Tichatschke},
28466  number        = {477},
28467  series        = {Lecture Notes in Economics and Mathematical Systems},
28468  address       = {Berlin},
28469  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-16.ps},
28470  type          = {Mathematical Programming Technical Report},
28471  institution   = {Computer Sciences Department, University of Wisconsin}
28472}
28473
28474@Article{         ferris.munson:complementarity,
28475  author        = {M. C. Ferris and T. S. Munson},
28476  title         = {Complementarity Problems in {GAMS} and the {PATH} Solver},
28477  year          = {2000},
28478  volume        = {24},
28479  pages         = {165--188},
28480  journal       = {Journal of Economic Dynamics and Control},
28481  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-12.ps},
28482  key           = {70},
28483  type          = {Mathematical Programming Technical Report},
28484  institution   = {Computer Sciences Department, University of Wisconsin},
28485  address       = {Madison, Wisconsin},
28486  number        = {98-12}
28487}
28488
28489@Misc{            ferris.munson:condor,
28490  author        = {M. C. Ferris and T. S. Munson},
28491  title         = {Condor Modeling Language Interface},
28492  organization  = {Computer Sciences Department, University of Wisconsin},
28493  address       = {Madison, Wisconsin},
28494  note          = {ftp://ftp.cs.wisc.edu/math-prog/condor}
28495}
28496
28497@Manual{          ferris.munson:gams,
28498  author        = {M. C. Ferris and T. S. Munson},
28499  title         = {{GAMS}/{PATH} User Guide: Version 4.3},
28500  organization  = {Department of Computer Sciences, University of Wisconsin, Madison}
28501}
28502
28503@Article{         ferris.munson:interfaces,
28504  author        = {M. C. Ferris and T. S. Munson},
28505  title         = {Interfaces to {PATH} 3.0: Design, Implementation and Usage},
28506  journal       = {Computational Optimization and Applications},
28507  volume        = {12},
28508  pages         = {207--227},
28509  year          = {1999},
28510  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/97-12.ps},
28511  key           = {63},
28512  institution   = {Computer Sciences Department, University of Wisconsin},
28513  address       = {Madison, Wisconsin},
28514  number        = {97-12},
28515  type          = {Mathematical Programming Technical Report}
28516}
28517
28518@TechReport{      ferris.munson:interior,
28519  author        = {M. C. Ferris and T. S. Munson},
28520  title         = {Interior Point Methods for Massive Support Vector Machines},
28521  institution   = {Computer Sciences Department, University of Wisconsin},
28522  year          = {2000},
28523  key           = {94},
28524  type          = {Data Mining Institute Technical Report},
28525  number        = {00-05},
28526  url           = {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/00-05.ps},
28527  address       = {Madison, Wisconsin},
28528  annote        = {Submitted to SIOPT}
28529}
28530
28531@Article{         ferris.munson:linear,
28532  author        = {M. C. Ferris and T. S. Munson},
28533  title         = {Linear Programming for Emergency Broadcast Systems},
28534  year          = {1999},
28535  journal       = {{SIAG/OPT} Newsletter},
28536  volume        = {10},
28537  pages         = {6--8},
28538  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-20.ps},
28539  key           = {76},
28540  type          = {Mathematical Programming Technical Report},
28541  institution   = {Computer Sciences Department, University of Wisconsin},
28542  address       = {Madison, Wisconsin},
28543  number        = {98-20}
28544}
28545
28546@Article{         ferris.munson:modeling,
28547  author        = {M. C. Ferris and T. S. Munson},
28548  title         = {Modeling Languages and {C}ondor: Metacomputing for Optimization},
28549  year          = {2000},
28550  journal       = {Mathematical Programming},
28551  volume        = {88},
28552  pages         = {487--506},
28553  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-13.ps},
28554  key           = {71},
28555  type          = {Mathematical Programming Technical Report},
28556  institution   = {Computer Sciences Department, University of Wisconsin},
28557  address       = {Madison, Wisconsin},
28558  number        = {98-13}
28559}
28560
28561@TechReport{      ferris.munson:preprocessing,
28562  author        = {M. C. Ferris and T. S. Munson},
28563  title         = {Preprocessing Complementarity Problems},
28564  type          = {Mathematical Programming Technical Report},
28565  institution   = {Computer Sciences Department, University of Wisconsin},
28566  address       = {Madison, Wisconsin},
28567  year          = {1999},
28568  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/99-07.ps},
28569  number        = {99-07},
28570  key           = {86},
28571  annote        = {Submitted to ICCP 99}
28572}
28573
28574@TechReport{      ferris.munson:semismooth,
28575  author        = {M. C. Ferris and T. S. Munson},
28576  title         = {Semismooth Support Vector Machines},
28577  institution   = {Computer Sciences Department, University of Wisconsin},
28578  year          = {2000},
28579  key           = {97},
28580  type          = {Data Mining Institute Technical Report},
28581  number        = {00-09},
28582  url           = {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/00-09.ps},
28583  address       = {Madison, Wisconsin},
28584  annote        = {Submitted to Math Prog B}
28585}
28586
28587@Article{         ferris.pang:engineering,
28588  author        = {M. C. Ferris and J. S. Pang},
28589  title         = {Engineering and Economic Applications of Complementarity Problems},
28590  year          = {1997},
28591  journal       = {SIAM Review},
28592  volume        = {39},
28593  pages         = {669--713},
28594  url           = {http: //www.siam.org/journals/sirev/39-4/28596.html},
28595  key           = {46}
28596}
28597
28598@Article{         ferris.pang:nondegenerate,
28599  author        = {M. C. Ferris and J. S. Pang},
28600  title         = {Nondegenerate Solutions and Related Concepts in Affine Variational Inequalities},
28601  journal       = {SIAM Journal on Control and Optimization},
28602  year          = {1996},
28603  volume        = {34},
28604  pages         = {244--263},
28605  url           = {ftp://ftp.cs.wisc.edu/tech-reports/reports/1994/tr1203.ps},
28606  key           = {35}
28607}
28608
28609@Article{         ferris.philpott:affine,
28610  author        = {M. C. Ferris and A. B. Philpott},
28611  title         = {On Affine Scaling and Semi--Infinite Programming},
28612  journal       = {Mathematical Programming},
28613  year          = {1992},
28614  volume        = {56},
28615  pages         = {361--364},
28616  key           = {15}
28617}
28618
28619@Article{         ferris.philpott:interior,
28620  author        = {M. C. Ferris and A. B. Philpott},
28621  title         = {An Interior Point Algorithm for Semi--Infinite Linear Programming},
28622  journal       = {Mathematical Programming},
28623  year          = {1989},
28624  volume        = {43},
28625  pages         = {257--276},
28626  key           = {04}
28627}
28628
28629@Article{         ferris.philpott:performance,
28630  author        = {M. C. Ferris and A. B. Philpott},
28631  title         = {On the Performance of {K}armarkar's Algorithm},
28632  journal       = {Journal of the Operational Research Society},
28633  year          = {1988},
28634  volume        = {39},
28635  pages         = {257--270},
28636  key           = {03}
28637}
28638
28639@InCollection{    ferris.ralph:projected,
28640  author        = {M. C. Ferris and D. Ralph},
28641  title         = {Projected Gradient Methods for Nonlinear Complementarity Problems via Normal
28642                  Maps},
28643  booktitle     = {Recent Advances in Nonsmooth Optimization},
28644  publisher     = {World Scientific Publishers},
28645  year          = {1995},
28646  pages         = {57--87},
28647  editor        = {D. Du and L. Qi and R. Womersley},
28648  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/94-08.ps},
28649  key           = {41}
28650}
28651
28652@Article{         ferris.ruszczynski:robust,
28653  author        = {M. C. Ferris and A. Ruszczy{\'{n}}ski},
28654  title         = {Robust Path Choice and Vehicle Guidance in Networks with Failures},
28655  year          = {2000},
28656  journal       = {Networks},
28657  volume        = {35},
28658  pages         = {181--194},
28659  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/97-04.ps},
28660  key           = {60}
28661}
28662
28663@InCollection{    ferris.rutherford:accessing,
28664  author        = {M. C. Ferris and T. F. Rutherford},
28665  title         = {Accessing Realistic Complementarity Problems within {Matlab}},
28666  booktitle     = {Nonlinear Optimization and Applications},
28667  key           = {48},
28668  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/95-10.ps},
28669  editor        = {G. Di Pillo and F. Giannessi},
28670  year          = {1996},
28671  pages         = {141--153},
28672  publisher     = {Plenum Press},
28673  address       = {New York}
28674}
28675
28676@InCollection{    ferris.shepard:optimizing,
28677  author        = {M. C. Ferris and D. M. Shepard},
28678  title         = {Optimization of Gamma Knife Radiosurgery},
28679  booktitle     = {Discrete Mathematical Problems with Medical Applications, forthcoming},
28680  editor        = {D.-Z. Du and P. Pardolas and J. Wang},
28681  publisher     = {AMS},
28682  year          = {2000},
28683  optseries     = {DIMACS},
28684  url           = {ftp://ftp.cs.wisc.edu/pub/dmi/tech-reports/00-01.ps},
28685  key           = {91},
28686  type          = {Data Mining Institute Technical Report},
28687  institution   = {Computer Sciences Department, University of Wisconsin},
28688  address       = {Madison, Wisconsin},
28689  number        = {00-01}
28690}
28691
28692@InCollection{    ferris.sinapiromsaran:formulating,
28693  author        = {M. C. Ferris and K. Sinapiromsaran},
28694  title         = {Formulating and Solving Nonlinear Programs as Mixed Complementarity Problems},
28695  booktitle     = {Optimization},
28696  key           = {77},
28697  publisher     = {Springer-Verlag},
28698  year          = {2000},
28699  editor        = {V.H. Nguyen and J. J. Strodiot and P. Tossings},
28700  volume        = {481},
28701  series        = {Lecture Notes in Economics and Mathematical Systems},
28702  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-21.ps},
28703  type          = {Mathematical Programming Technical Report},
28704  institution   = {Computer Sciences Department, University of Wisconsin},
28705  address       = {Madison, Wisconsin},
28706  number        = {98-21}
28707}
28708
28709@Article{         ferris.tin-loi:limit,
28710  author        = {M. C. Ferris and F. Tin-Loi},
28711  title         = {Limit Analysis of Frictional Block Assemblies as a Mathematical Program with
28712                  Complementarity Constraints},
28713  year          = {2001},
28714  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/99-01.ps},
28715  key           = {78},
28716  journal       = {International Journal of Mechanical Sciences},
28717  pages         = {209--224},
28718  volume        = {43},
28719  type          = {Mathematical Programming Technical Report},
28720  institution   = {Computer Sciences Department, University of Wisconsin},
28721  address       = {Madison, Wisconsin},
28722  number        = {99-01}
28723}
28724
28725@Article{         ferris.tin-loi:nonlinear,
28726  author        = {M. C. Ferris and F. Tin-Loi},
28727  title         = {Nonlinear Programming Approach for a Class of Inverse Problems in
28728                  Elastoplasticity},
28729  year          = {1998},
28730  key           = {64},
28731  volume        = {6},
28732  pages         = {857--870},
28733  journal       = {Structural Engineering and Mechanics}
28734}
28735
28736@Article{         ferris.tin-loi:solution,
28737  author        = {M. C. Ferris and F. Tin-Loi},
28738  title         = {On the Solution of a Minimum Weight Elastoplastic Problem involving Displacement
28739                  and Complementarity Constraints},
28740  year          = {1999},
28741  journal       = {Computer Methods in Applied Mechanics and Engineering},
28742  volume        = {174},
28743  pages         = {107--120},
28744  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/minwt.ps},
28745  key           = {66}
28746}
28747
28748@Article{         ferris.vlach:scheduling,
28749  author        = {M. C. Ferris and M. Vlach},
28750  title         = {Scheduling with Earliness and Tardiness Penalties},
28751  journal       = {Naval Research Logistics Quarterly},
28752  year          = {1992},
28753  volume        = {39},
28754  pages         = {229--245},
28755  key           = {13}
28756}
28757
28758@TechReport{      ferris.zavriev:linear,
28759  author        = {M. C. Ferris and S. K Zavriev},
28760  title         = {The Linear Convergence of a Successive Linear Programming Algorithm},
28761  institution   = {Computer Sciences Department, University of Wisconsin},
28762  year          = {1996},
28763  key           = {56},
28764  address       = {Madison, Wisconsin},
28765  type          = {Mathematical Programming Technical Report},
28766  number        = {96--12},
28767  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/96-12.ps}
28768}
28769
28770@Article{         ferris:finite,
28771  author        = {M. C. Ferris},
28772  title         = {Finite Termination of the Proximal Point Algorithm},
28773  journal       = {Mathematical Programming},
28774  year          = {1991},
28775  volume        = {50},
28776  pages         = {359--366},
28777  key           = {06}
28778}
28779
28780@Article{         ferris:iterative,
28781  author        = {M. C. Ferris},
28782  title         = {Iterative Linear Programming Solution of Convex Programs},
28783  journal       = {Journal of Optimization Theory and Applications},
28784  year          = {1990},
28785  volume        = {65},
28786  pages         = {53--65},
28787  key           = {07}
28788}
28789
28790@Article{         ferris:linear,
28791  author        = {M. C. Ferris},
28792  title         = {The Linear Complementarity Problem},
28793  journal       = {Bulletin of the American Mathematical Society},
28794  year          = {1993},
28795  volume        = {28},
28796  pages         = {169--175},
28797  key           = {27}
28798}
28799
28800@MastersThesis{   ferris:linear*1,
28801  author        = {M. C. Ferris},
28802  title         = {Linear Programming and Minimum Weight Design -- {A} Comparison of Methods for
28803                  Solving a Class of Structural Optimization Problems},
28804  year          = {1985},
28805  school        = {University of Cambridge},
28806  address       = {England},
28807  key           = {01}
28808}
28809
28810@TechReport{      ferris:matlab,
28811  author        = {M. C. Ferris},
28812  title         = {{MATLAB} and {GAMS}: Interfacing Optimization and Visualization Software},
28813  institution   = {Computer Sciences Department, University of Wisconsin},
28814  year          = {1998},
28815  address       = {Madison, Wisconsin},
28816  type          = {Mathematical Programming Technical Report},
28817  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-19.ps},
28818  number        = {98-19},
28819  key           = {75}
28820}
28821
28822@Article{         ferris:parallel,
28823  author        = {M. C. Ferris},
28824  title         = {Parallel Constraint Distribution for Convex Quadratic Programs},
28825  journal       = {Mathematics of Operations Research},
28826  year          = {1994},
28827  volume        = {19},
28828  pages         = {645--658},
28829  url           = {ftp://ftp.cs.wisc.edu/tech-reports/reports/1991/tr1009a.ps},
28830  key           = {20}
28831}
28832
28833@TechReport{      ferris:parallel*1,
28834  author        = {M. C. Ferris},
28835  title         = {Parallel Solution of Extremely Large Knapsack Problems},
28836  institution   = {Computer Sciences Department, University of Wisconsin},
28837  year          = {1989},
28838  address       = {Madison, Wisconsin},
28839  number        = {842},
28840  key           = {09}
28841}
28842
28843@PhDThesis{       ferris:weak,
28844  author        = {M. C. Ferris},
28845  title         = {Weak Sharp Minima and Penalty Functions in Mathematical Programming},
28846  year          = {1988},
28847  school        = {University of Cambridge},
28848  address       = {England},
28849  key           = {02}
28850}
28851
28852@TechReport{      ferris:weak*1,
28853  author        = {M. C. Ferris},
28854  title         = {Weak Sharp Minima and Penalty Functions in Mathematical Programming},
28855  institution   = {Computer Sciences Department, University of Wisconsin},
28856  year          = {1988},
28857  address       = {Madison, Wisconsin},
28858  number        = {779},
28859  key           = {05}
28860}
28861
28862@Book{            fiacco.mccormick:nonlinear,
28863  author        = {A. V. Fiacco and G. P. McCormick},
28864  title         = {Nonlinear Programming: Sequential Unconstrained Minimization Techniques},
28865  year          = {1968},
28866  publisher     = {John Wiley \& Sons},
28867  address       = {New York},
28868  note          = {SIAM Classics in Applied Mathematics 4, SIAM, Philadelphia, 1990}
28869}
28870
28871@Book{            fiacco:introduction,
28872  author        = {A. V. Fiacco},
28873  title         = {Introduction to Sensitivity and Stability Analysis in Nonlinear Programming},
28874  year          = {1983},
28875  publisher     = {Academic Press},
28876  address       = {New York}
28877}
28878
28879@Article{         fiedler.ptak:matrices,
28880  author        = {M. Fiedler and V. Pt\'{a}k},
28881  title         = {On matrices with nonpositive off-diagonal elements and positive principal
28882                  minors},
28883  journal       = {Czechoslovak Mathematics Journal},
28884  volume        = {12},
28885  pages         = {382--400},
28886  year          = {1962}
28887}
28888
28889@Article{         fischer.kanzow:finite,
28890  author        = {A. Fischer and C. Kanzow},
28891  title         = {On Finite Termination of an Iterative Method for Linear Complementarity
28892                  Problems},
28893  journal       = {Mathematical Programming},
28894  volume        = {74},
28895  pages         = {279--292},
28896  year          = {1996}
28897}
28898
28899@TechReport{      fischer:constrained,
28900  author        = {A. Fischer},
28901  title         = {A New Constrained Optimization Reformulation for Complementarity Problems},
28902  institution   = {Institute of Numerical Mathematics, Technical University of Dresden},
28903  year          = {1995},
28904  type          = {Technical Report},
28905  number        = {MATH-NM-10-1995},
28906  address       = {Dresden}
28907}
28908
28909@Article{         fischer:local,
28910  author        = {A. Fischer},
28911  title         = {On the local superlinear convergence of a {N}ewton-type method for {LCP} under
28912                  weak conditions},
28913  journal       = {Optimization Methods and Software},
28914  year          = {1995},
28915  volume        = {6},
28916  pages         = {83--107}
28917}
28918
28919@InCollection{    fischer:ncp-function,
28920  author        = {A. Fischer},
28921  title         = {An {NCP}--Function and its Use for the Solution of Complementarity Problems},
28922  booktitle     = {Recent Advances in Nonsmooth Optimization},
28923  publisher     = {World Scientific Publishers},
28924  editor        = {D. Z. Du and L. Qi and R. S. Womersley},
28925  year          = {1995},
28926  pages         = {88--105}
28927}
28928
28929@Article{         fischer:newton-type,
28930  author        = {A. Fischer},
28931  title         = {A {N}ewton-Type Method for Positive Semidefinite Linear Complementarity
28932                  Problems},
28933  journal       = {Journal of Optimization Theory and Applications},
28934  year          = {1995},
28935  volume        = {86},
28936  pages         = {585--608}
28937}
28938
28939@Article{         fischer:solution,
28940  author        = {A. Fischer},
28941  title         = {Solution of Monotone Complementarity Problems with Locally {L}ipschitzian
28942                  Functions},
28943  year          = {1997},
28944  journal       = {Mathematical Programming},
28945  pages         = {513--532}
28946}
28947
28948@Article{         fischer:special,
28949  author        = {A. Fischer},
28950  title         = {A Special {N}ewton--Type Optimization Method},
28951  journal       = {Optimization},
28952  year          = {1992},
28953  volume        = {24},
28954  pages         = {269--284}
28955}
28956
28957@Article{         fisher:use,
28958  author        = {R. A. Fisher},
28959  title         = {The Use of Multiple Measurements in Taxonomic Problems},
28960  journal       = {Annual Eugenics},
28961  year          = {1936},
28962  volume        = {7},
28963  number        = {Part II},
28964  pages         = {179--188}
28965}
28966
28967@Book{            fishman:principles,
28968  author        = {G. Fishman},
28969  title         = {Principles of Discrete Event Simulation},
28970  publisher     = {Wiley},
28971  address       = {New York, NY},
28972  year          = {1978}
28973}
28974
28975@Article{         fitchard.aldridge.ea:registration,
28976  author        = {E. E. Fitchard and J. S. Aldridge and P. J. Reckwerdt and T. R. Mackie},
28977  title         = {Registration of Synthetic Tomographic Projection Data Sets Using
28978                  Cross-Correlation},
28979  journal       = {Physics in Medicine and Biology},
28980  year          = {1998},
28981  volume        = {43},
28982  pages         = {1645--1657}
28983}
28984
28985@Article{         fletcher.matthews:stable,
28986  author        = {R. Fletcher and S. P. J. Matthews},
28987  title         = {Stable Modifications of Explicit {LU} Factors for Simplex Updates},
28988  journal       = {Mathematical Programming},
28989  year          = {1984},
28990  volume        = {30},
28991  pages         = {267--284}
28992}
28993
28994@TechReport{      fletcher.maza:nonlinear,
28995  author        = {R. Fletcher and E. Sainz de la Maza},
28996  title         = {Nonlinear Programming and Nonsmooth Optimization by Successive Linear
28997                  Programming},
28998  institution   = {Department of Mathematical Sciences},
28999  year          = {1987},
29000  address       = {The University, Dundee, Scotland},
29001  number        = {NA/100},
29002  type          = {Numerical Analysis Report}
29003}
29004
29005@InCollection{    fletcher:class,
29006  author        = {R. Fletcher},
29007  title         = {A Class of Methods for Nonlinear Programming with Termination and Convergence
29008                  Properties},
29009  booktitle     = {Integer and Nonlinear Programming},
29010  year          = {1970},
29011  editor        = {J. Abadie},
29012  publisher     = {North--Holland},
29013  address       = {Amsterdam},
29014  pages         = {157--173}
29015}
29016
29017@Article{         fletcher:exact,
29018  author        = {R. Fletcher},
29019  title         = {An Exact Penalty Function for Nonlinear Programming with Inequalities},
29020  journal       = {Mathematical Programming},
29021  year          = {1973},
29022  volume        = {5},
29023  pages         = {129--150}
29024}
29025
29026@Article{         fletcher:generalized,
29027  author        = {R. Fletcher},
29028  title         = {Generalized Inverse Methods for the Best Least Squares Solution of Non--Linear
29029                  Equations},
29030  journal       = {The Computer Journal},
29031  year          = {1968},
29032  volume        = {10},
29033  pages         = {392--399}
29034}
29035
29036@InProceedings{   fletcher:penalty,
29037  crossref      = {bachem.grotschel.ea:mathematical},
29038  author        = {R. Fletcher},
29039  title         = {Penalty Functions},
29040  pages         = {87--114}
29041}
29042
29043@Book{            fletcher:practical,
29044  author        = {R. Fletcher},
29045  title         = {Practical Methods of Optimization},
29046  year          = {1981},
29047  publisher     = {John Wiley \& Sons},
29048  address       = {Chichester},
29049  volume        = {1}
29050}
29051
29052@Book{            fletcher:practical*1,
29053  author        = {R. Fletcher},
29054  title         = {Practical Methods of Optimization},
29055  year          = {1981},
29056  publisher     = {John Wiley \& Sons},
29057  address       = {Chichester},
29058  volume        = {2}
29059}
29060
29061@Book{            fletcher:practical*2,
29062  author        = {R. Fletcher},
29063  title         = {Practical Methods of Optimization},
29064  year          = {1987},
29065  publisher     = {John Wiley \& Sons},
29066  address       = {New York},
29067  edition       = {second}
29068}
29069
29070@Unpublished{     fletcher:recent,
29071  author        = {R. Fletcher},
29072  title         = {Recent Developments in Nonlinear Programming},
29073  note          = {Presentation at SOR 96, Braunchweig, Germany},
29074  year          = {1996}
29075}
29076
29077@InCollection{    fletcher:second,
29078  author        = {R. Fletcher},
29079  title         = {Second Order Correction for Nondifferentiable Optimization},
29080  booktitle     = {Numerical Analysis},
29081  year          = {1982},
29082  editor        = {G. A. Watson},
29083  publisher     = {Springer-Verlag},
29084  address       = {Berlin},
29085  pages         = {85--114}
29086}
29087
29088@InCollection{    florian:mathematical,
29089  author        = {M. Florian},
29090  title         = {Mathematical programming applications in national, regional, and urban planning},
29091  editors       = {M. Iri and K. Tanabe},
29092  booktitle     = {Mathematical Programming: Recent Developments and Applications},
29093  publisher     = {Kluwer Academic Publishers},
29094  address       = {Tokyo},
29095  year          = {1989}
29096}
29097
29098@Article{         florian:nonlinear,
29099  author        = {M. Florian},
29100  title         = {Nonlinear Cost Network Models in Transportation Analysis},
29101  journal       = {Mathematical Programming Study},
29102  year          = {1986},
29103  volume        = {26},
29104  pages         = {167--196}
29105}
29106
29107@Article{         flynn:computer,
29108  author        = {M.~J. Flynn},
29109  title         = {Some Computer Organizations and their Effectiveness},
29110  journal       = {IEEE Transactions on Computers},
29111  year          = {1972},
29112  volume        = {C-21},
29113  pages         = {948--960}
29114}
29115
29116@InProceedings{   fogarty:varying,
29117  crossref      = {schaeffer:third},
29118  author        = {T. C. Fogarty},
29119  title         = {Varying the Probability of Mutation in the Genetic Algorithm},
29120  pages         = {422--427}
29121}
29122
29123@Article{         forrest.goldfarb:steepest-edge,
29124  author        = {J. J. Forrest and D. Goldfarb},
29125  title         = {Steepest--Edge Simplex Algorithms for Linear Programming},
29126  journal       = {Mathematical Programming},
29127  year          = {1992},
29128  volume        = {57},
29129  pages         = {341--374}
29130}
29131
29132@Article{         forrest.tomlin:updating,
29133  author        = {J. J. H. Forrest and J. A. Tomlin},
29134  title         = {Updating Triangular Factors of the Basis to Maintain Sparsity in the Product Form
29135                  Simplex Method},
29136  journal       = {Mathematical Programming},
29137  year          = {1972},
29138  volume        = {2},
29139  pages         = {263--278}
29140}
29141
29142@TechReport{      forsgren.gill.ea:computing,
29143  author        = {A. Forsgren and P. E. Gill and W. Murray},
29144  title         = {Computing Modified {N}ewton Directions using a Partial {C}holesky Factorization},
29145  institution   = {Department of Mathematics, Royal Institute of Technology},
29146  year          = {1993},
29147  number        = {TRITA-MAT-1993-9},
29148  address       = {Stockholm, Sweden}
29149}
29150
29151@TechReport{      forsgren.gill:primal-dual,
29152  author        = {A. Forsgren and P. E. Gill},
29153  title         = {Primal-Dual Interior Methods for Nonconvex Nonlinear Programming},
29154  institution   = {Department of Mathematics, University of California},
29155  year          = {1996},
29156  type          = {Report NA},
29157  number        = {96-3},
29158  address       = {San Diego}
29159}
29160
29161@InCollection{    fortin.glowinski:decomposition-coordination,
29162  author        = {M. Fortin and R. Glowinski},
29163  title         = {On Decomposition-Coordination Methods Using an Augmented Lagrangian},
29164  booktitle     = {Augmented Lagrangian methods: Applications to the Solution of Boundary Value
29165                  Problems},
29166  publisher     = {North-Holland},
29167  year          = {1983},
29168  editor        = {M. Fortin and R. Glowinski},
29169  address       = {Amsterdam}
29170}
29171
29172@Misc{            foster.kesselman:globus,
29173  author        = {I. Foster and C. Kesselman},
29174  title         = {The Globus Project},
29175  howpublished  = {www.globus.org}
29176}
29177
29178@Article{         foster.kesselman:globus*1,
29179  author        = {I. Foster and C. Kesselman},
29180  title         = {Globus: A Metacomputing Infrastructure Toolkit},
29181  journal       = {International Journal of Supercomputer Applications},
29182  volume        = {11},
29183  pages         = {115--128},
29184  year          = {1997}
29185}
29186
29187@Book{            foster.kesselman:grid,
29188  editor        = {I. Foster and C. Kesselman},
29189  title         = {The Grid: Blueprint for a Future Computing Infrastructure},
29190  publisher     = {Morgan Kaufmann Publishers},
29191  year          = {1999}
29192}
29193
29194@Book{            fourer.gay.ea:ampl,
29195  author        = {R. Fourer and D. M. Gay and B. W. Kernighan},
29196  title         = {{AMPL}: {A} Modeling Language for Mathematical Programming},
29197  year          = {1993},
29198  publisher     = {Duxbury Press}
29199}
29200
29201@Article{         fourer.gay.ea:modeling,
29202  author        = {R. Fourer and D. M. Gay and B. W. Kernighan},
29203  title         = {A Modeling Language for Mathematical Programming},
29204  journal       = {Management Science},
29205  year          = {1990},
29206  volume        = {36},
29207  pages         = {519--554}
29208}
29209
29210@Article{         fraass:development,
29211  author        = {A. Fraass},
29212  title         = {The development of conformal radiation therapy},
29213  journal       = {Medical Physics},
29214  year          = {1995},
29215  volume        = {22},
29216  number        = {11},
29217  pages         = {1911--1921}
29218}
29219
29220@TechReport{      fraley:algorithms,
29221  author        = {C. Fraley},
29222  title         = {Algorithms for Nonlinear Least Squares},
29223  institution   = {Stanford University},
29224  year          = {1988},
29225  number        = {{SOL} 88.16},
29226  type          = {Technical Report}
29227}
29228
29229@InCollection{    francois.mcdonald.ea:uruguay,
29230  author        = {J. F. Francois and B. McDonald and H. Nordstrom},
29231  title         = {The {U}ruguay Round: {A} Numerically Based Qualitative Assessment},
29232  booktitle     = {The {U}ruguay Round and the Developing Economies},
29233  address       = {New York},
29234  editors       = {W. Martin and L. A. Winters},
29235  publisher     = {Cambridge University Press}
29236}
29237
29238@InCollection{    francois.mcdonald.ea:uruguay*1,
29239  author        = {J. F. Francois and B. McDonald and H. Nordstrom},
29240  title         = {The {U}ruguay Round: {A} Global Analysis},
29241  booktitle     = {Challenges and Opportunities for East Asian Trade},
29242  address       = {Cambridge},
29243  editors       = {D. Robertson},
29244  publisher     = {Cambridge University Press}
29245}
29246
29247@Article{         frank.wolfe:algorithm,
29248  author        = {M. Frank and P. Wolfe},
29249  title         = {An Algorithm for Quadratic Programming},
29250  journal       = {Naval Research Logistics Quarterly},
29251  year          = {1956},
29252  volume        = {3},
29253  pages         = {95--110}
29254}
29255
29256@Article{         freund.nachtigal:qmrpack,
29257  author        = {R. W. Freund and N. M. Nachtigal},
29258  title         = {{QMRPACK}: {A} Package of {QMR} Algorithms},
29259  journal       = {{ACM} Transactions on Mathematical Software},
29260  year          = {1996},
29261  volume        = {22},
29262  pages         = {46--77}
29263}
29264
29265@InProceedings{   freund.schapire:experiments,
29266  author        = {Y. Freund and R. E. Schapire},
29267  title         = {Experiments with a New Boosting Algorithm},
29268  booktitle     = {Machine Learning: Proceedings of the Thirteenth National Conference},
29269  pages         = {148--156},
29270  year          = {1996},
29271  editor        = {L. Saitta},
29272  publisher     = {Morgan Kaufmann}
29273}
29274
29275@Unpublished{     freund.todd:barrier,
29276  author        = {Robert M. Freund and Michael J. Todd},
29277  title         = {Barrier functions and interior-point algorithms for linear programming with
29278                  zero-, one-, or two-sided bounds on the variables},
29279  year          = {1992},
29280  month         = jul
29281}
29282
29283@Article{         friedman.chernina:iterative,
29284  author        = {V. M. Friedman and V. S. Chernina},
29285  title         = {Iterative Methods Applied to the Solution of Contact Problems Between Bodies},
29286  note          = {In Russian},
29287  journal       = {Mekhanika Tvergodo Tela Academia Nauk SSSR},
29288  volume        = {1},
29289  pages         = {116--120},
29290  year          = {1967}
29291}
29292
29293@Article{         friesz.bernstein.ea:day-to-day,
29294  author        = {T. L. Friesz and D. Bernstein and N. J. Mehta and R. L. Tobin and S.
29295                  Ganjalizadeh},
29296  title         = {Day-to-day Dynamic Network Disequilibria and Idealized Traveller Information
29297                  Systems},
29298  journal       = {Operations Research},
29299  year          = {1994},
29300  volume        = {42},
29301  pages         = {1120--1136}
29302}
29303
29304@Article{         friesz.tobin.ea:nonlinear,
29305  author        = {T. L. Friesz and R. L. Tobin and T. E. Smith and P. T. Harker},
29306  title         = {A Nonlinear Complementarity Formulation and Solution Procedure for the General
29307                  Derived Demand Network Equilibrium Problem},
29308  journal       = {Journal of Regional Science},
29309  year          = {1983},
29310  volume        = {23},
29311  pages         = {337--359}
29312}
29313
29314@Article{         friesz:network,
29315  author        = {T. L. Friesz},
29316  title         = {Network Equilibrium, Design and Aggregation},
29317  journal       = {Transportation Research},
29318  volume        = {19A},
29319  year          = {1985},
29320  pages         = {413--427}
29321}
29322
29323@Unpublished{     frisch:logarithmic,
29324  author        = {K. R. Frisch},
29325  title         = {The Logarithmic Potential Method of Convex Programming},
29326  year          = {1955},
29327  note          = {Unpublished manuscript, University Institute of Economics, Oslo}
29328}
29329
29330@Book{            fukunaga:statistical,
29331  author        = {K. Fukunaga},
29332  title         = {Statistical Pattern Recognition},
29333  year          = {1990},
29334  publisher     = {Academic Press},
29335  address       = {New York}
29336}
29337
29338@Article{         fukushima.luo.ea:globally,
29339  author        = {M. Fukushima and Z.--Q. Luo and J. S. Pang},
29340  title         = {A Globally Convergent Sequential Quadratic Programming Algorithm for Mathematical
29341                  Programs with Linear Complementarity Constraints},
29342  journal       = {Computational Optimization and Applications},
29343  year          = {1998},
29344  volume        = {10},
29345  pages         = {5--34}
29346}
29347
29348@Article{         fukushima:equivalent,
29349  author        = {M. Fukushima},
29350  title         = {Equivalent Differentiable Optimization Problems and Descent Methods for
29351                  Asymmetric Variational Inequality Problems},
29352  journal       = {Mathematical Programming},
29353  year          = {1992},
29354  volume        = {53},
29355  pages         = {99--110}
29356}
29357
29358@Article{         fukushima:primal,
29359  author        = {M. Fukushima},
29360  title         = {The Primal {D}ouglas-{R}achford Splitting Algorithm for a Class of Monotone
29361                  Mappings with Application to the Traffic Equilibrium Problem},
29362  journal       = {Mathematical Programming},
29363  year          = {1996},
29364  volume        = {72},
29365  pages         = {1--15}
29366}
29367
29368@Article{         gabay.mercier:dual,
29369  author        = {D. Gabay and B. Mercier},
29370  title         = {A Dual Algorithm for the Solution of Nonlinear Variational Inequalities via
29371                  Finite Element Approximations},
29372  journal       = {Computational Mathematics and Applications},
29373  year          = {1976},
29374  volume        = {2},
29375  pages         = {17--48}
29376}
29377
29378@InCollection{    gabay:applications,
29379  author        = {D. Gabay},
29380  title         = {Applications of the Method of Multipliers to Variational Inequalities},
29381  booktitle     = {Augmented {L}agrangian Methods: Applications to the Solution of Boundary Value
29382                  Problems},
29383  publisher     = {North-Holland},
29384  year          = {1983},
29385  editor        = {M. Fortin and R. Glowinski},
29386  address       = {Amsterdam}
29387}
29388
29389@Unpublished{     gabriel.bernstein:path,
29390  author        = {S. A. Gabriel and D. Berstein},
29391  title         = {A Path Generation Method for the Nonadditive, Asymmetric, Elastic Traffic
29392                  Equilibrium Problem},
29393  note          = {Draft, 1995}
29394}
29395
29396@TechReport{      gabriel.kydes:nonlinear,
29397  author        = {S. A. Gabriel and A. S. Kydes},
29398  title         = {A Nonlinear Complementarity Approach for Solving the National Energy Modeling
29399                  System},
29400  institution   = {Mathematics and Computer Science Division, Argonne National Laboratory},
29401  year          = {1995},
29402  type          = {Preprint},
29403  number        = {MCS-P504-0395},
29404  address       = {Argonne, Illinois},
29405  month         = mar
29406}
29407
29408@InProceedings{   gabriel.more:smoothing,
29409  crossref      = {ferris.pang:complementarity},
29410  author        = {S. A. Gabriel and J. J. Mor\'{e}},
29411  title         = {Smoothing of Mixed Complementarity Problems}
29412}
29413
29414@Article{         gabriel.pang:inexact,
29415  author        = {S. A. Gabriel and J. S. Pang},
29416  title         = {An Inexact {NE/SQP} Method for Solving the Nonlinear Complementarity Problem},
29417  journal       = {Computational Optimization and Applications},
29418  year          = {1992},
29419  volume        = {1},
29420  pages         = {67--91}
29421}
29422
29423@InCollection{    gabriel.pang:trust,
29424  author        = {S. A. Gabriel and J. S. Pang},
29425  title         = {A Trust Region Method for Constrained Nonsmooth Equations},
29426  booktitle     = {Large--Scale Optimization: State of the Art},
29427  publisher     = {Kluwer Academic Publishers},
29428  year          = {1994},
29429  editor        = {W. W. Hager and D. W. Hearn and P. M. Pardalos},
29430  pages         = {159--186}
29431}
29432
29433@PhDThesis{       gabriel:algorithms,
29434  author        = {S. A. Gabriel},
29435  title         = {Algorithms for the Nonlinear Complementarity Problem: The {NE}/{SQP} Method and
29436                  Extensions},
29437  school        = {The Johns Hopkins University},
29438  year          = {1992},
29439  address       = {Baltimore, Maryland}
29440}
29441
29442@Article{         gafni.bertsekas:two-metric,
29443  author        = {E. M. Gafni and D. P. Bertsekas},
29444  title         = {Two-Metric Projection Methods for Constrained Optimization},
29445  journal       = {SIAM Journal on Control and Optimization},
29446  year          = {1984},
29447  volume        = {22},
29448  pages         = {936--964}
29449}
29450
29451@InProceedings{   gaivoronski:convergence,
29452  author        = {A. A. Gaivoronski},
29453  title         = {Convergence of Parallel Backpropagation for Neural Networks},
29454  booktitle     = {SIAM Journal on Optimization},
29455  year          = {1994},
29456  note          = {Proceedings of Symposium on Parallel Optimization 3, Madison July 7-9, 1993,
29457                  submitted}
29458}
29459
29460@Misc{            gaivoronski:private,
29461  author        = {A. A. Gaivoronski},
29462  title         = {Private Communication},
29463  year          = {1992},
29464  month         = nov,
29465  address       = {ITALTEL, Milan}
29466}
29467
29468@Book{            gale:theory,
29469  author        = {D. Gale},
29470  title         = {The Theory of Linear Economic Models},
29471  year          = {1960},
29472  publisher     = {McGraw-Hill Book Company},
29473  address       = {New York}
29474}
29475
29476@Book{            gallant:neural,
29477  author        = {S. I. Gallant},
29478  title         = {Neural Network Learning and Expert Systems},
29479  year          = {1993},
29480  publisher     = {MIT Press},
29481  address       = {Cambridge, Massachusetts}
29482}
29483
29484@InProceedings{   ganti.gehrke.ea:framework,
29485  author        = {V. Ganti and J. Gehrke and R. Ramakrishnan},
29486  title         = {A Framework for Measuring Changes in Data Characteristics},
29487  booktitle     = {Proceedings of the Eighteenth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of
29488                  Database Systems, May 31 - June 2, 1999, Philadelphia, Pennsylvania},
29489  publisher     = {ACM Press},
29490  year          = {1999},
29491  isbn          = {1-58113-062-7},
29492  pages         = {126--137}
29493}
29494
29495@Book{            ganz:gamma,
29496  author        = {J. C. Ganz},
29497  title         = {Gamma Knife Surgery},
29498  publisher     = {Springer-Verlag Wien},
29499  year          = {1997},
29500  address       = {Austria}
29501}
29502
29503@TechReport{      gao:nonlinear,
29504  author        = {Y. Gao},
29505  title         = {Nonlinear Complementarity Problems in Large Deformed Beam Subject to Unilateral
29506                  Conditions},
29507  type          = {Manuscript},
29508  institution   = {Department of Mathematics, Virginia Polytechnic Institute and State University},
29509  month         = oct,
29510  year          = {1994}
29511}
29512
29513@Article{         garcia-palomares.mangasarian:superlinearly,
29514  author        = {U. M. {Garcia--Palomares} and O. L. Mangasarian},
29515  title         = {Superlinearly Convergent {Q}uasi--{N}ewton Algorithms for Nonlinearly Constrained
29516                  Optimization Problems},
29517  journal       = {Mathematical Programming},
29518  year          = {1976},
29519  volume        = {11},
29520  pages         = {1--13}
29521}
29522
29523@Article{         garcia-palomares.restuccia:global,
29524  author        = {U. M. {Garcia--Palomares} and A. Restuccia},
29525  title         = {A Global Quadratic Algorithm for Solving a System of Mixed Equations},
29526  journal       = {Mathematical Programming},
29527  year          = {1981},
29528  volume        = {21},
29529  pages         = {290--300}
29530}
29531
29532@InProceedings{   garcia-palomares:superlinearly,
29533  author        = {U. M. {Garcia--Palomares}},
29534  title         = {Superlinearly Convergent Algorithms for Linearly Constrained Optimization},
29535  crossref      = {mangasarian.meyer.ea:nonlinear*2},
29536  pages         = {101--119}
29537}
29538
29539@Article{         garcia.gould:theorem,
29540  author        = {C. B. Garcia and F. J. Gould},
29541  title         = {A Theorem on Homotopy Paths},
29542  journal       = {Mathematics of Operations Research},
29543  year          = {1978},
29544  volume        = {3},
29545  pages         = {282--289}
29546}
29547
29548@Book{            garcia.zangwill:pathways,
29549  author        = {C. B. Garcia and W. I. Zangwill},
29550  title         = {Pathways to Solutions, Fixed Points, and Equilibria},
29551  year          = {1981},
29552  publisher     = {Prentice-Hall, Inc},
29553  address       = {Englewood Cliffs, New Jersey}
29554}
29555
29556@Book{            garey.johnson:computers,
29557  author        = {M. R. Garey and D. S. Johnson},
29558  title         = {Computers and Intractability, {A} Guide to the Theory of {NP}--Completeness},
29559  year          = {1979},
29560  publisher     = {W.H. Freeman and Company},
29561  address       = {San Francisco}
29562}
29563
29564@Article{         garey.tarjan.ea:one-processor,
29565  author        = {M. R. Garey and R. E. Tarjan and G. T. Wilfong},
29566  title         = {One--Processor Scheduling with Symmetric Earliness and Tardiness Penalties},
29567  journal       = {Mathematics of Operations Research},
29568  year          = {1988},
29569  volume        = {13},
29570  pages         = {330--348}
29571}
29572
29573@Book{            garfinkel.nemhauser:integer,
29574  author        = {R. S. Garfinkel and G. L. Nemhauser},
29575  title         = {Integer Programming},
29576  year          = {1972},
29577  publisher     = {John Wiley \& Sons},
29578  address       = {New York}
29579}
29580
29581@Book{            gass:linear,
29582  author        = {S. Gass},
29583  title         = {Linear Programming Methods and Applications},
29584  edition       = {Fifth},
29585  publisher     = {Boyd and Fraser Publishing Company},
29586  address       = {Danvers, Massachusetts},
29587  year          = {1985}
29588}
29589
29590@InProceedings{   gay:combining,
29591  author        = {D. M. Gay},
29592  title         = {On Combining the Schemes of {R}eid and {S}aunders for Sparse {LP} Bases},
29593  booktitle     = {Sparse Matrix Proceedings 1978},
29594  editor        = {I. S. Duff and G. W. Stewart},
29595  year          = {1978},
29596  organization  = {SIAM},
29597  address       = {Philadelphia, Pennsylvania},
29598  pages         = {313--334}
29599}
29600
29601@Article{         gay:electronic,
29602  author        = {D. M. Gay},
29603  title         = {Electronic Mail Distribution of Linear Programming Test Problems},
29604  journal       = {{COAL} Newsletter},
29605  year          = {1985},
29606  volume        = {13},
29607  pages         = {10--12}
29608}
29609
29610@TechReport{      gay:hooking,
29611  author        = {D. M. Gay},
29612  title         = {Hooking Your Solver to {AMPL}},
29613  year          = {1997},
29614  institution   = {Bell Laboratories},
29615  address       = {Murray Hill, New Jersey},
29616  note          = {Revised 1994, 1997}
29617}
29618
29619@Article{         gay:variant,
29620  author        = {D. Gay},
29621  title         = {A Variant of {K}armarkar's Linear Programming Algorithm for Problems in Standard
29622                  Form},
29623  journal       = {Mathematical Programming},
29624  year          = {1987},
29625  volume        = {37},
29626  pages         = {81--90}
29627}
29628
29629@Article{         geiger.kanzow:resolution,
29630  author        = {C. Geiger and C. Kanzow},
29631  title         = {On the Resolution of Monotone Complementarity Problems},
29632  journal       = {Computational Optimization and Applications},
29633  volume        = {5},
29634  year          = {1996},
29635  pages         = {155--173}
29636}
29637
29638@Book{            geist.beguelin.ea:pvm,
29639  author        = {G. A. Geist and A. L. Beguelin and J. J. Dongarra and W. Jiang and R. Manchek and
29640                  V. S. Sunderam},
29641  title         = {{PVM}: Parallel Virtual Machine},
29642  publisher     = {MIT Press},
29643  address       = {Cambridge, Massachusetts},
29644  year          = {1994}
29645}
29646
29647@Article{         gendron.crainic:parallel,
29648  author        = {B. Gendron and T. G. Crainic},
29649  title         = {Parallel Branch-and-Bound Algorithms: Survey and Synthesis},
29650  journal       = {Operations Research},
29651  year          = {1994},
29652  volume        = {42},
29653  pages         = {1042--1060}
29654}
29655
29656@Article{         george:automatic,
29657  author        = {A. George},
29658  title         = {An automatic one-way dissection algorithm for irregular finite-element problems},
29659  journal       = {SIAM Journal on Numerical Analysis},
29660  vol           = {17},
29661  pages         = {740--751},
29662  year          = {1980}
29663}
29664
29665@InProceedings{   georges-schleuter:asparagos,
29666  crossref      = {schaeffer:third},
29667  author        = {M. Georges--Schleuter},
29668  title         = {Asparagos: An Asynchronous Parallel Genetic Algorithm},
29669  pages         = {416--421}
29670}
29671
29672@Article{         georgiou:comments,
29673  author        = {G. M. Georgiou},
29674  title         = {Comments On Hidden Nodes in Neural Nets},
29675  journal       = {IEEE Transactions on Circuits and Systems},
29676  year          = {1991},
29677  volume        = {38},
29678  pages         = {1410}
29679}
29680
29681@TechReport{      gertz.linderoth.ea:object-oriented,
29682  author        = {M. Gertz and J. Linderoth and S. Wright},
29683  title         = {Object-Oriented Software for Linear Complementarity and Quadratic Programming},
29684  institution   = {MCS Division, Argonne National Laboratory},
29685  year          = {in preparation}
29686}
29687
29688@Article{         ghellinck.vial:polynomial,
29689  author        = {G. de Ghellinck and J.--Ph. Vial},
29690  title         = {A Polynomial {N}ewton Method for Linear Programming},
29691  journal       = {Algorithmica},
29692  year          = {1986},
29693  volume        = {1},
29694  pages         = {425--453}
29695}
29696
29697@InCollection{    gilbert.ng:predicting,
29698  author        = {J. R. Gilbert and E. Ng},
29699  title         = {Predicting Structure in Nonsymmetric Sparse Matrix Factorizations},
29700  year          = {1993},
29701  booktitle     = {Graph Theory and Sparse Matrix Computation},
29702  editor        = {A. George and J. Gilbert and J. Liu},
29703  publisher     = {Springer-Verlag}
29704}
29705
29706@Article{         gilbert-lemarechal,
29707  author        = {J. C. Gilbert and C. Lemarechal},
29708  title         = {Some Numerical Experiments with Variable-Storage Quasi-Newton Algorithms},
29709  journal       = {Mathematical Programming},
29710  year          = {1989},
29711  volume        = {45},
29712  pages         = {407--434}
29713}
29714
29715@Article{         gill.murray.ea:computing,
29716  author        = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
29717  title         = {Computing Forward-Difference Intervals for Numerical Optimization},
29718  journal       = {SIAM Journal on Scientific and Statistical Computing},
29719  year          = {1983},
29720  volume        = {4},
29721  pages         = {310--321}
29722}
29723
29724@Article{         gill.murray.ea:maintaining,
29725  author        = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
29726  title         = {Maintaining {LU} Factors of a General Sparse Matrix},
29727  year          = {1987},
29728  journal       = {Linear Algebra and Its Applications},
29729  volume        = {88/89},
29730  pages         = {239--270}
29731}
29732
29733@Book{            gill.murray.ea:practical,
29734  author        = {P. E. Gill and W. Murray and M. H. Wright},
29735  title         = {Practical Optimization},
29736  year          = {1981},
29737  publisher     = {Academic Press},
29738  address       = {London}
29739}
29740
29741@Article{         gill.murray.ea:practical*1,
29742  author        = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
29743  title         = {A Practical Anti-Cycling Procedure for Linearly Constrained Optimization},
29744  journal       = {Mathematical Programming},
29745  year          = {1989},
29746  volume        = {45},
29747  pages         = {437--474}
29748}
29749
29750@Article{         gill.murray.ea:projected,
29751  author        = {P. E. Gill and W. Murray and M. A. Saunders and J. A. Tomlin and M. H. Wright},
29752  title         = {On Projected {N}ewton Barrier Methods for Linear Programming and an Equivalence
29753                  to {K}armarkar's Projective Method},
29754  journal       = {Mathematical Programming},
29755  year          = {1986},
29756  volume        = {36},
29757  pages         = {183--209}
29758}
29759
29760@Article{         gill.murray:newton-type,
29761  author        = {P. E. Gill and W. Murray},
29762  title         = {{N}ewton--Type Methods for Unconstrained and Linearly Constrained Optimization},
29763  journal       = {Mathematical Programming},
29764  year          = {1974},
29765  volume        = {7},
29766  pages         = {311--350}
29767}
29768
29769@InProceedings{   gill.murray:nonlinear,
29770  author        = {P. E. Gill and W. Murray},
29771  title         = {Nonlinear Least Squares and Nonlinearly Constrained Optimization},
29772  booktitle     = {Numerical Analysis, Dundee 1975},
29773  year          = {1976},
29774  editor        = {G. A. Watson},
29775  publisher     = {Springer-Verlag},
29776  address       = {Berlin},
29777  note          = {Lecture Notes in Mathematics 506}
29778}
29779
29780@Book{            ginsburgh.waelbroeck:activity,
29781  author        = {V. Ginsburgh and J. Waelbroeck},
29782  title         = {Activity Analysis and General Equilibrium Modelling},
29783  publisher     = {North--Holland},
29784  year          = {1981},
29785  address       = {Amsterdam}
29786}
29787
29788@Article{         glad.goldstein:errors,
29789  author        = {T. Glad and A. Goldstein},
29790  title         = {Optimization of Functions Whose Values are Subject to Small Errors},
29791  journal       = {BIT},
29792  year          = {1977},
29793  volume        = {17},
29794  pages         = {160--169}
29795}
29796
29797@Article{         glad.polak:multiplier,
29798  author        = {T. Glad and E. Polak},
29799  title         = {A Multiplier Method with Automatic Limitation of Penalty Growth},
29800  journal       = {Mathematical Programming},
29801  year          = {1979},
29802  volume        = {17},
29803  pages         = {140--155}
29804}
29805
29806@Book{            glashoff.gustafson:linear,
29807  author        = {K. Glashoff and S.--\AA. Gustafson},
29808  title         = {Linear Optimization and Approximation},
29809  year          = {1983},
29810  publisher     = {Springer-Verlag},
29811  address       = {New York}
29812}
29813
29814@Article{         glover:improved,
29815  author        = {F. Glover},
29816  title         = {Improved Linear Programming Models for Discriminant Analysis},
29817  journal       = {Decision Sciences},
29818  year          = {1990},
29819  volume        = {21},
29820  pages         = {771--785}
29821}
29822
29823@Book{            glasserman:gradient,
29824  author        = {P. Glasserman},
29825  title         = {Gradient Estimation via Perturbation Analysis},
29826  publisher     = {Kluwer},
29827  year          = {1991},
29828  address       = {Norwell, MA}
29829}
29830
29831@Article{         glover:tabu,
29832  author        = {F. Glover},
29833  title         = {Tabu Search -- Part 1},
29834  journal       = {ORSA Journal on Computing},
29835  year          = {1989},
29836  volume        = {1},
29837  pages         = {190--206}
29838}
29839
29840@Article{         glowinski.marroco:sur,
29841  author        = {R. Glowinski and A. Marroco},
29842  title         = {Sur l'Approximation, par Elements d'Ordre un, et la Resolution, par
29843                  Penalisation-Dualit\'{e}, d'une Classe de Problemes de {D}irichlet non Lineares},
29844  journal       = {Revue Fran\c{c}aise d'Automatique, Informatique, et Recherche Operationelle},
29845  year          = {1975},
29846  volume        = {9(R-2)},
29847  pages         = {41--76}
29848}
29849
29850@TechReport{      goeleven.nguyen:convergence,
29851  author        = {D. Goeleven and V. H. Nguyen},
29852  title         = {On the Convergence of the Parallel Constraint Distribution Algorithm},
29853  institution   = {Department of Mathematics, Facultes Universitaires de Namur},
29854  year          = {1992},
29855  address       = {B-5000 Namur, Belgium}
29856}
29857
29858@Book{            goldberg:genetic,
29859  author        = {D. E. Goldberg},
29860  title         = {Genetic Algorithms in Search, Optimization and Machine Learning},
29861  year          = {1989},
29862  publisher     = {Addison-Wesley},
29863  address       = {Reading MA}
29864}
29865
29866@Article{         golden.skiscim:simulated,
29867  author        = {B. L. Golden and C. C. Skiscim},
29868  title         = {Using Simulated Annealing to Solve Routing and Location Problems},
29869  journal       = {Naval Research Logistics Quarterly},
29870  year          = {1989},
29871  volume        = {33},
29872  pages         = {261--279}
29873}
29874
29875@Article{         goldfarb.reid:practical,
29876  author        = {D. Goldfarb and J. K. Reid},
29877  title         = {A Practical Steepest--Edge Simplex Algorithm},
29878  journal       = {Mathematical Programming},
29879  year          = {1977},
29880  volume        = {12},
29881  pages         = {361--371}
29882}
29883
29884@InProceedings{   goldman.tucker:theory,
29885  author        = {A. J. Goldman and A. W. Tucker},
29886  title         = {Theory of Linear Programming},
29887  booktitle     = {Linear Inequalities and Related Systems},
29888  year          = {1956},
29889  editor        = {H. W. Kuhn and A. W. Tucker},
29890  publisher     = {Princeton University Press},
29891  address       = {Princeton, New Jersey},
29892  pages         = {53--97}
29893}
29894
29895@Book{            goldstein:constructive,
29896  author        = {A. A. Goldstein},
29897  title         = {Constructive Real Analysis},
29898  year          = {1967},
29899  publisher     = {Harper and Row},
29900  address       = {New York}
29901}
29902
29903@Article{         golshtein:block,
29904  author        = {Ye. G. Golshtein},
29905  title         = {The Block Method of Convex Programming},
29906  journal       = {Soviet Mathematics Doklady},
29907  year          = {1986},
29908  volume        = {33},
29909  pages         = {584--587}
29910}
29911
29912@Article{         golshtein:general,
29913  author        = {Ye. G. Golshtein},
29914  title         = {A General Approach to Decomposition of Optimization Systems},
29915  journal       = {Soviet Journal of Computer and Systems Sciences},
29916  year          = {1987},
29917  volume        = {3},
29918  pages         = {105--114}
29919}
29920
29921@Article{         golub.kahan:calculating,
29922  author        = {G. H. Golub and W. Kahan},
29923  title         = {Calculating the Singular Values and Pseudoinverse of a Matrix},
29924  journal       = {SIAM Journal on Numerical Analysis},
29925  year          = {1965},
29926  volume        = {2},
29927  pages         = {205--224}
29928}
29929
29930@Book{            golub.vanloan:matrix,
29931  author        = {G. H. Golub and C. F. {Van Loan}},
29932  title         = {Matrix Computations},
29933  year          = {1996},
29934  publisher     = {The John Hopkins University Press},
29935  address       = {Baltimore, Maryland},
29936  edition       = {Third}
29937}
29938
29939@TechReport{      gomez.barron:exponential,
29940  author        = {S. Gom\'{e}z and C. Barr\'{o}n},
29941  title         = {The Exponential Tunneling Method},
29942  institution   = {Universidad Nacional Autonoma de Mexico},
29943  year          = {1991},
29944  type          = {Serie Reportes de Investigacion},
29945  number        = {3},
29946  address       = {Mexico}
29947}
29948
29949@Article{         gondzio:multiple,
29950  author        = {J. Gondzio},
29951  title         = {Multiple Centrality Corrections in a Primal-Dual Method for Linear Programming},
29952  journal       = {Computational Optimization and Applications},
29953  year          = {1996},
29954  volume        = {6},
29955  pages         = {137--156}
29956}
29957
29958@TechReport{      gonzaga:algorithm,
29959  author        = {C. C. Gonzaga},
29960  title         = {An Algorithm for Solving Linear Programming Problems in {O}($n^3${L})
29961                  operations},
29962  institution   = {Electronics Research Laboratory, University of California},
29963  year          = {1987},
29964  address       = {Berkeley, California},
29965  number        = {UCB/ERL M87/10},
29966  type          = {Memorandum}
29967}
29968
29969@Article{         gould.tolle:necessary,
29970  author        = {F. J. Gould and J. W. Tolle},
29971  title         = {A Necessary and Sufficient Qualification for Constrained Optimization},
29972  journal       = {SIAM Journal on Applied Mathematics},
29973  year          = {1971},
29974  volume        = {20},
29975  pages         = {164--172}
29976}
29977
29978@InProceedings{   goux.kulkarni.ea:enabling,
29979  author        = {J.-P. Goux and S. Kulkarni and J. Linderoth and M. E. Yoder},
29980  title         = {An Enabling Framework for Master-Worker Applications on the Computational Grid},
29981  booktitle     = {Proceedings of the Ninth {IEEE} International Symposium on High Performance
29982                  Distributed Computing},
29983  year          = {2000}
29984}
29985
29986@Article{         gowda.pang:basic,
29987  author        = {M. S. Gowda and J. S. Pang},
29988  title         = {The Basic Theorem of Complementarity Revisited},
29989  journal       = {Mathematical Programming},
29990  year          = {1993},
29991  volume        = {58},
29992  pages         = {161--178}
29993}
29994
29995@Article{         gowda.pang:boundedness,
29996  author        = {M. S. Gowda and J. S. Pang},
29997  title         = {On the Boundedness and Stability of Solutions to the Affine Variational
29998                  Inequality Problem},
29999  journal       = {SIAM Journal on Control and Optimization},
30000  year          = {1994},
30001  volume        = {32},
30002  pages         = {421--441}
30003}
30004
30005@Article{         gowda.pang:stability,
30006  author        = {M. S. Gowda and J. S. Pang},
30007  title         = {Stability analysis of variational inequalities and nonlinear complementarity
30008                  problems, via the mixed linear complementarity problem and degree theory},
30009  journal       = {Mathematics of Operations Research},
30010  year          = {1994},
30011  volume        = {19},
30012  pages         = {831--879}
30013}
30014
30015@Article{         gowda.sznajder:generalizations,
30016  author        = {M. S. Gowda and R. Sznajder},
30017  title         = {Generalizations of ${P}_0$-- and ${P}$-- properties; Extended Vertical and
30018                  Horizontal {LCP}s},
30019  journal       = {Linear Algebra and Its Applications},
30020  year          = {1995},
30021  volume        = {223/224},
30022  pages         = {695--715}
30023}
30024
30025@Article{         gowda.sznajder:generalized,
30026  author        = {M. S. Gowda and R. Sznajder},
30027  title         = {The Generalized Order Linear Complementarity Problem},
30028  journal       = {SIAM Journal on Matrix Analysis and Applications},
30029  year          = {1994}
30030}
30031
30032@Article{         gowda:analysis,
30033  author        = {M. S. Gowda},
30034  title         = {An Analysis of Zero Set and Global Error Bound Properties of a Piecewise Affine
30035                  Function via its Recession Function},
30036  journal       = {SIAM Journal on Matrix Analysis and Applications},
30037  year          = {1996},
30038  volume        = {17},
30039  pages         = {594--609}
30040}
30041
30042@Article{         gowda:applications,
30043  author        = {M. S. Gowda},
30044  title         = {Applications of Degree Theory to Linear Complementarity Problems},
30045  journal       = {Mathematics of Operations Research},
30046  year          = {1993},
30047  volume        = {18},
30048  pages         = {868--879}
30049}
30050
30051@Article{         grant.woo:clinical,
30052  author        = {W. I. Grant and S. Y. Woo},
30053  title         = {Clinical and Financial Issues for Intensity Modulated Radiation Therapy
30054                  Delivery},
30055  journal       = {Seminars in Radiation Oncology},
30056  year          = {1999},
30057  volume        = {9},
30058  pages         = {99--107}
30059}
30060
30061@Article{         greenberg.hegerich:branch,
30062  author        = {H. Greenberg and R. L. Hegerich},
30063  title         = {A Branch Search Algorithm for the Knapsack Problem},
30064  journal       = {Management Science},
30065  year          = {1970},
30066  volume        = {16},
30067  pages         = {327--332}
30068}
30069
30070@InCollection{    grefenstette:incorporating,
30071  crossref      = {davis:genetic},
30072  author        = {J. J. Grefenstette},
30073  title         = {Incorporating Problem Specific Knowledge into Genetic Algorithms}
30074}
30075
30076@Book{            griewank.corliss:automatic,
30077  editor        = {A. Griewank and G. F. Corliss},
30078  title         = {Automatic Differentiation of Algorithms: Theory, Implementation and Application},
30079  publisher     = {SIAM},
30080  year          = {1991},
30081  address       = {Philadelphia, Pennsylvania}
30082}
30083
30084@Article{         griewank.juedes.ea:adol-c,
30085  author        = {A. Griewank and D. Juedes and J. Utke},
30086  title         = {{ADOL}-{C}: {A} Package for the Automatic Differentiation of Algorithms Written
30087                  in {C}/{C}++},
30088  journal       = {{ACM} Transactions on Mathematical Software},
30089  year          = {1996},
30090  volume        = {22},
30091  pages         = {131--167}
30092}
30093
30094@Article{         griffith.stewart:nonlinear,
30095  author        = {R. E. Griffith and R. A. Stewart},
30096  title         = {A Nonlinear Programming Technique for the Optimization of Continuous Processing
30097                  Systems},
30098  journal       = {Management Science},
30099  year          = {1961},
30100  volume        = {7},
30101  pages         = {379--392}
30102}
30103
30104@Article{         grinold:mathematical,
30105  author        = {R. C. Grinold},
30106  title         = {Mathematical Methods for {PA}ttern Classification},
30107  journal       = {Management Science},
30108  year          = {1972},
30109  volume        = {19},
30110  pages         = {272--289}
30111}
30112
30113@Article{         grippo.lampariello.ea:class,
30114  author        = {L. Grippo and F. Lampariello and S. Lucidi},
30115  title         = {A Class of Nonmonotone Stabilization Methods in Unconstrained Optimization},
30116  journal       = {Numerische Mathematik},
30117  year          = {1991},
30118  volume        = {59},
30119  pages         = {779--805}
30120}
30121
30122@Article{         grippo.lampariello.ea:global,
30123  author        = {L. Grippo and F. Lampariello and S. Lucidi},
30124  title         = {Global Convergence and Stabilization of Unconstrained Minimization Methods
30125                  Without Derivatives},
30126  journal       = {Journal of Optimization Theory and Applications},
30127  year          = {1988},
30128  volume        = {56},
30129  pages         = {385--406}
30130}
30131
30132@Article{         grippo.lampariello.ea:nonmonotone,
30133  author        = {L. Grippo and F. Lampariello and S. Lucidi},
30134  title         = {A Nonmonotone Line Search Technique for {N}ewton's Method},
30135  journal       = {SIAM Journal on Numerical Analysis},
30136  year          = {1986},
30137  volume        = {23},
30138  pages         = {707--716}
30139}
30140
30141@Misc{            grippo:private,
30142  author        = {L. Grippo},
30143  title         = {Private Communication},
30144  year          = {1992},
30145  address       = {Universita degli Studi di Roma ``La Sapienza'',Roma}
30146}
30147
30148@Article{         grotschel.lovasz.ea:ellipsoid,
30149  author        = {M. Gr{\"{o}}tschel and L. Lov\'{a}sz and A. Schrijver},
30150  title         = {The Ellipsoid Method and its Consequences in Combinatorial Optimization},
30151  journal       = {Combinatorica},
30152  year          = {1981},
30153  volume        = {1},
30154  pages         = {169--197}
30155}
30156
30157@Article{         guignard:generalized,
30158  author        = {M. Guignard},
30159  title         = {Generalized {K}uhn--{T}ucker conditions for Mathematical Programming in a
30160                  {B}anach Space},
30161  journal       = {SIAM Journal on Control and Optimization},
30162  year          = {1969},
30163  volume        = {7},
30164  pages         = {232--241}
30165}
30166
30167@Article{         guler.ye:convergence,
30168  author        = {O. G{\"{u}}ler and Y. Ye},
30169  title         = {Convergence Behavior of Interior--Point Algorithms},
30170  journal       = {Mathematical Programming},
30171  year          = {1993},
30172  volume        = {60},
30173  pages         = {215--228}
30174}
30175
30176@Article{         guler:existence,
30177  author        = {O. G{\"{u}}ler},
30178  title         = {Existence of Interior Points and Interior Paths in Nonlinear Monotone
30179                  Complementarity Problems},
30180  journal       = {Mathematics of Operations Research},
30181  year          = {1993},
30182  volume        = {18},
30183  pages         = {128--147}
30184}
30185
30186@Article{         guler:generalized,
30187  author        = {O. G{\"{u}}ler},
30188  title         = {Generalized Linear Complementarity Problems},
30189  journal       = {Mathematics of Operations Research},
30190  year          = {1995},
30191  volume        = {20},
30192  pages         = {441--448}
30193}
30194
30195@Article{         gupta.sen:minimizing,
30196  author        = {S. Gupta and T. Sen},
30197  title         = {Minimizing the Range of Lateness on a Single Machine},
30198  journal       = {Journal of the Operational Research Society},
30199  year          = {1984},
30200  volume        = {35},
30201  pages         = {853--857}
30202}
30203
30204@InCollection{    gustafson:numerical,
30205  author        = {S.-\AA. Gustafson},
30206  title         = {On Numerical Analysis in Semi-Infinite Programming},
30207  booktitle     = {Semi-Infinite Programming},
30208  year          = {1979},
30209  editor        = {R. Hettich},
30210  publisher     = {Springer-Verlag},
30211  address       = {Berlin}
30212}
30213
30214@Article{         gustafsson.lind.ea:simultaneous,
30215  author        = {A. Gustafsson and B. K. Lind and R. Svensson and A. Brahme},
30216  title         = {Simultaneous optimization of dynamic multileaf collimation and scanning patterns
30217                  or compensation filters using a generalized pencil beam algorithm},
30218  journal       = {Medical Physics},
30219  year          = {1995},
30220  volume        = {22},
30221  number        = {7},
30222  pages         = {1141--1156}
30223}
30224
30225@PhDThesis{       ha:decomposition,
30226  author        = {C. D. Ha},
30227  title         = {Decomposition Methods for Structured Convex Programming},
30228  year          = {1980},
30229  school        = {Department of Industrial Engineering, University of Wisconsin--Madison}
30230}
30231
30232@TechReport{      haakonsen.mathiesen:toward,
30233  author        = {L. Haakonsen and L. Mathiesen},
30234  title         = {Toward a more comprehensive cost measure for {CO2}-reductions},
30235  institution   = {NHH, Bergen},
30236  year          = {1995},
30237  type          = {Discussion Paper},
30238  number        = {3/95}
30239}
30240
30241@Article{         haaland.norman.ea:vemod,
30242  author        = {J. Haaland and V. Norman and T. Rutherford and T. Wergeland},
30243  title         = {{VEMOD}: {A} {R}icardo--{H}eckscher--{O}hlin--{J}ones Model of World Trade},
30244  journal       = {Scandinavian Journal of Economics},
30245  year          = {1987}
30246}
30247
30248@Article{         haarhoff.buys:method,
30249  author        = {P. C. Haarhoff and J. D. Buys},
30250  title         = {A New Method for the Optimization of a Nonlinear Function Subject to Nonlinear
30251                  Constraints},
30252  journal       = {Computer Journal},
30253  year          = {1970},
30254  volume        = {12},
30255  pages         = {178--184}
30256}
30257
30258@Article{         habetler.kostreva:direct,
30259  author        = {G. J. Habetler and M. M. Kostreva},
30260  title         = {On a direct algorithm for nonlinear complementarity problems},
30261  journal       = {SIAM Journal on Control and Optimization},
30262  volume        = {16},
30263  year          = {1978},
30264  pages         = {504--511}
30265}
30266
30267@Book{            hadamard:cauchys,
30268  author        = {J. Hadamard},
30269  title         = {Cauchy's Problem in Linear Partial Differential Equations},
30270  year          = {1923},
30271  publisher     = {Yale University Press}
30272}
30273
30274@Article{         haddock.mittenthal:simulation,
30275  author        = {J. Haddock and J. Mittenthal},
30276  title         = {Simulation optimization using simulated annealing},
30277  journal       = {Comput. Ind. Eng.},
30278  year          = {1992},
30279  volume        = {22},
30280  pages         = {387--395}
30281}
30282
30283@TechReport{      hamala:general,
30284  author        = {M. Hamala},
30285  title         = {A General Approach to Interior Point Methods with Linear Parameter for
30286                  Mathematical Programming},
30287  institution   = {Royal Institute of Technology},
30288  year          = {1978},
30289  number        = {1978--20},
30290  type          = {Department of Mathematics Paper TRITA--MAT}
30291}
30292
30293@Article{         han.mangasarian:dual,
30294  author        = {S.--P. Han and O. L. Mangasarian},
30295  title         = {A Dual Differentiable Exact Penalty Function},
30296  journal       = {Mathematical Programming},
30297  year          = {1983},
30298  volume        = {25},
30299  pages         = {293--301}
30300}
30301
30302@Article{         han.mangasarian:exact,
30303  author        = {S.--P. Han and O. L. Mangasarian},
30304  title         = {Exact Penalty Functions in Nonlinear Programming},
30305  journal       = {Mathematical Programming},
30306  year          = {1979},
30307  volume        = {17},
30308  pages         = {251--269}
30309}
30310
30311@Article{         han.pang.ea:globally,
30312  author        = {S.--P. Han and J. S. Pang and N. Rangaraj},
30313  title         = {Globally Convergent {N}ewton Methods for Nonsmooth Equations},
30314  journal       = {Mathematics of Operations Research},
30315  year          = {1992},
30316  volume        = {17},
30317  pages         = {586--607}
30318}
30319
30320@Article{         han:decomposition,
30321  author        = {S.--P. Han},
30322  title         = {A Decomposition Method and its Application to Convex Programming},
30323  journal       = {Mathematics of Operations Research},
30324  year          = {1989},
30325  volume        = {14},
30326  pages         = {237--248}
30327}
30328
30329@Article{         han:globally,
30330  author        = {S.--P. Han},
30331  title         = {A Globally Convergent Method for Nonlinear Programming},
30332  journal       = {Journal of Optimization Theory and Applications},
30333  year          = {1977},
30334  volume        = {22},
30335  pages         = {297--309}
30336}
30337
30338@Article{         han:superlinearly,
30339  author        = {S.--P. Han},
30340  title         = {Superlinearly Convergent Variable Metric Algorithms for General Nonlinear
30341                  Programming Problems},
30342  journal       = {Mathematical Programming},
30343  year          = {1976},
30344  volume        = {11},
30345  pages         = {263--282}
30346}
30347
30348@Article{         hansen.koopmans:definition,
30349  author        = {T. Hansen and T. C. Koopmans},
30350  title         = {On the Definition and Computation of a Capital Stock Invariant Under
30351                  Optimization},
30352  journal       = {Journal of Economic Theory},
30353  year          = {1972},
30354  volume        = {5},
30355  pages         = {487--523}
30356}
30357
30358@InCollection{    harker.pang:damped,
30359  author        = {P. T. Harker and J. S. Pang},
30360  title         = {A Damped {N}ewton Method for the Linear Complementarity Problem},
30361  booktitle     = {Computational Solution of Nonlinear Systems of Equations},
30362  publisher     = {AMS},
30363  year          = {1990},
30364  editor        = {E. L. Allgower and K. Georg},
30365  number        = {26},
30366  series        = {Lectures on Applied Mathematics},
30367  address       = {Providence, Rhode Island},
30368  pages         = {265--284}
30369}
30370
30371@Article{         harker.pang:existence,
30372  author        = {P. T. Harker and J. S. Pang},
30373  title         = {Existence of Optimal Solutions to Mathematical Programs with Equilibrium
30374                  Constraints},
30375  journal       = {Operations Research Letters},
30376  year          = {1988},
30377  volume        = {7},
30378  pages         = {61--64}
30379}
30380
30381@Article{         harker.pang:finite-dimensional,
30382  author        = {P. T. Harker and J. S. Pang},
30383  title         = {Finite--dimensional variational inequality and nonlinear complementarity
30384                  problems: {A} survey of theory, algorithms and applications},
30385  journal       = {Mathematical Programming},
30386  year          = {1990},
30387  volume        = {48},
30388  pages         = {161--220}
30389}
30390
30391@Article{         harker.xiao:newtons,
30392  author        = {P. T. Harker and B. Xiao},
30393  title         = {{N}ewton's Method for the Nonlinear Complementarity Problem: {A}
30394                  {B}--Differentiable Equation Approach},
30395  journal       = {Mathematical Programming},
30396  year          = {1990},
30397  volume        = {48},
30398  pages         = {339--358}
30399}
30400
30401@Article{         harker:accelerating,
30402  author        = {P. T. Harker},
30403  title         = {Accelerating the Convergence of the Diagonalization and Projection Algorithms for
30404                  Finite--Dimensional Variational Inequalities},
30405  journal       = {Mathematical Programming},
30406  year          = {1988},
30407  volume        = {41},
30408  pages         = {29--50}
30409}
30410
30411@Article{         harker:generalized,
30412  author        = {P. T. Harker},
30413  title         = {Generalized {N}ash Games and Quasi-Variational Inequalities},
30414  journal       = {European Journal of Operations Research},
30415  volume        = {54},
30416  pages         = {81--94},
30417  year          = {1987}
30418}
30419
30420@Book{            harker:lectures,
30421  author        = {P. T. Harker},
30422  title         = {Lectures on Computation of Equilibria with Equation--Based Methods},
30423  publisher     = {CORE Foundation, Louvain--la--Neuve, Universit\'{e} Catholique de Louvain},
30424  year          = {1993},
30425  series        = {CORE Lecture Series}
30426}
30427
30428@Article{         harris:pivot,
30429  author        = {P. M. J. Harris},
30430  title         = {Pivot Selection Methods of the {D}evex {LP} Code},
30431  journal       = {Mathematical Programming},
30432  year          = {1973},
30433  volume        = {5},
30434  pages         = {1--28}
30435}
30436
30437@InCollection{    harrison.kristrom:carbon,
30438  author        = {G. W. Harrison and B. Kristrom},
30439  title         = {Carbon Emissions and the Economic Costs of Transport Policy in {S}weden},
30440  booktitle     = {Environment and Transport in Economic Modelling},
30441  publisher     = {Kluwer Academic Publishers},
30442  year          = {1997},
30443  editor        = {R. Roson and K. A. Small},
30444  address       = {Amsterdam}
30445}
30446
30447@Article{         harrison.rutherford.ea:increased,
30448  author        = {G. W. Harrison and T. F. Rutherford and D. G. Tarr},
30449  title         = {Increased Competition and Completion of the Market in the {E}uropean {U}nion},
30450  journal       = {Journal of Economic Integration},
30451  year          = {1996},
30452  volume        = {11},
30453  pages         = {332--365}
30454}
30455
30456@Article{         harrison.rutherford.ea:liberalizing,
30457  author        = {G. W. Harrison and T. F. Rutherford and I. Wooton},
30458  title         = {Liberalizing Agriculture in the {E}uropean {U}nion},
30459  journal       = {Journal of Policy Modeling},
30460  year          = {1995},
30461  volume        = {17}
30462}
30463
30464@Article{         harrison.rutherford.ea:quantifying,
30465  author        = {G. W. Harrison and T. F. Rutherford and D. Tarr},
30466  title         = {Quantifying the {U}ruguay Round},
30467  journal       = {Finance and Development},
30468  year          = {1995},
30469  volume        = {32},
30470  pages         = {38--41}
30471}
30472
30473@InProceedings{   harrison.rutherford.ea:quantifying*1,
30474  author        = {G. W. Harrison and T. F. Rutherford and D. G. Tarr},
30475  title         = {Quantifying the {U}ruguay Round},
30476  year          = {1996},
30477  booktitle     = {The {U}ruguay Round and the Developing Economies},
30478  address       = {New York},
30479  editors       = {W. Martin and L. A. Winters},
30480  publisher     = {Cambridge University Press}
30481}
30482
30483@Article{         harrison.rutherford.ea:quantifying*2,
30484  author        = {G. W. Harrison and T. F. Rutherford and D. Tarr},
30485  title         = {Quantifying the {U}ruguay Round},
30486  journal       = {The Economic Journal},
30487  year          = {1997},
30488  volume        = {107},
30489  pages         = {1405--1430}
30490}
30491
30492@Article{         harrison.rutherford.ea:trade,
30493  author        = {G. W. Harrison and T. F. Rutherford and D. G. Tarr},
30494  title         = {Trade Reform in the Partially Liberalized Economy of {T}urkey},
30495  journal       = {The World Bank Economic Review},
30496  year          = {1993},
30497  volume        = {7},
30498  pages         = {191--217}
30499}
30500
30501@Article{         hartman.stampacchia:nonlinear,
30502  author        = {P. Hartman and G. Stampacchia},
30503  title         = {On some nonlinear differential-functional equations},
30504  journal       = {Acta Mathematica},
30505  year          = {1966},
30506  volume        = {115},
30507  pages         = {271--310}
30508}
30509
30510@Book{            harvey:forecasting,
30511  author        = {Andrew C. Harvey},
30512  title         = {Forecasting, Structural Time Series Models and the {K}alman Filter},
30513  publisher     = {Cambridge University Press},
30514  address       = {New York, NY},
30515  year          = {1989}
30516}
30517
30518@Article{         haurie.marcotte:relationship,
30519  author        = {A. Haurie and P. Marcotte},
30520  title         = {On the Relationship between {N}ash--{C}ournot and {W}ardrop Equilibria},
30521  journal       = {Networks},
30522  year          = {1985},
30523  volume        = {15},
30524  pages         = {295--308}
30525}
30526
30527@Article{         hearn.lawphongpanich.ea:restricted,
30528  author        = {D. W. Hearn and S. Lawphongpanich and J. A. Ventura},
30529  title         = {Restricted Simplicial Decomposition: Computation and Extensions},
30530  journal       = {Mathematical Programming Study},
30531  year          = {1987},
30532  volume        = {31},
30533  pages         = {99--118}
30534}
30535
30536@Article{         hearn:gap,
30537  author        = {D. W. Hearn},
30538  title         = {The Gap Function of a Convex Program},
30539  journal       = {Operations Research Letters},
30540  year          = {1982},
30541  volume        = {1},
30542  pages         = {67--71}
30543}
30544
30545@Article{         hedlund.gustavsson:design,
30546  author        = {P. Hedlund and A. Gustavsson},
30547  title         = {Design and Evaluation of Modified Simplex Methods having Enhanced Convergence
30548                  Ability},
30549  journal       = {Analytica Chimica Acta},
30550  year          = {1992},
30551  volume        = {259},
30552  pages         = {243--256}
30553}
30554
30555@Article{         helgason.kennington.ea:parallelization,
30556  author        = {R. V. Helgason and J. L. Kennington and H. A. Zaki},
30557  title         = {A Parallelization of the Simplex Method},
30558  journal       = {Annals of Operations Research},
30559  year          = {1988},
30560  volume        = {14},
30561  pages         = {17--40}
30562}
30563
30564@Article{         helgason.kennington.ea:polynomially,
30565  author        = {Richard Helgason and James Kennington and H. Lall},
30566  title         = {A Polynomially Bounded Algorithm for Singly Constrained Quadratic Programs},
30567  journal       = {Mathematical Programming},
30568  year          = {1980},
30569  volume        = {18},
30570  pages         = {338--343}
30571}
30572
30573@Book{            henderson.quandt:microeconomic,
30574  author        = {J. M. Henderson and R. E. Quandt},
30575  title         = {Microeconomic Theory},
30576  publisher     = {McGraw--Hill},
30577  address       = {New York},
30578  year          = {1980},
30579  edition       = {Third}
30580}
30581
30582@TechReport{      hendrickson.leland:chaco,
30583  author        = {B. Hendrickson and R. Leland},
30584  title         = {The {C}haco User's Guide: Version 2},
30585  institution   = {Sandia National Laboratories},
30586  type          = {Technical Report},
30587  number        = {SAND94-2692},
30588  address       = {Albuquerque, New Mexico},
30589  year          = {1994}
30590}
30591
30592@InProceedings{   hendrickson.leland:multilevel,
30593  author        = {B. Hendrickson and R. Leland},
30594  title         = {A Multilevel Algorithm for Partitioning Graphs},
30595  booktitle     = {Proceedings of Supercomputing '95},
30596  year          = {1995}
30597}
30598
30599@Book{            hertz.krogh.ea:introduction,
30600  author        = {J. Hertz and A. Krogh and R. G. Palmer},
30601  title         = {Introduction to the Theory of Neural Computation},
30602  year          = {1991},
30603  publisher     = {Addison-Wesley},
30604  address       = {Redwood City, California}
30605}
30606
30607@Article{         hertz.werra:tabu,
30608  author        = {A. Hertz and D. de Werra},
30609  title         = {Using {T}abu Search techniques for Graph Coloring},
30610  journal       = {Computing},
30611  year          = {1987},
30612  volume        = {29},
30613  pages         = {345--351}
30614}
30615
30616@InCollection{    hettich:review,
30617  author        = {R. Hettich},
30618  title         = {A Review of Numerical Methods for Semi-Infinite Optimization},
30619  booktitle     = {Semi-Infinite Programming and Applications},
30620  year          = {1983},
30621  editor        = {A. V. Fiacco and K. O. Kortanek},
30622  publisher     = {Springer-Verlag},
30623  address       = {Berlin}
30624}
30625
30626@Article{         highleyman:note,
30627  author        = {W. H. Highleyman},
30628  title         = {A Note on Linear Separation},
30629  journal       = {IRE Transactions on Electronic Computers},
30630  year          = {1961},
30631  volume        = {10},
30632  pages         = {777--778}
30633}
30634
30635@Article{         hildreth:quadratic,
30636  author        = {C. Hildreth},
30637  title         = {A Quadratic Programming Procedure},
30638  journal       = {Naval Research Logistics Quarterly},
30639  year          = {1957},
30640  volume        = {4},
30641  pages         = {79--85},
30642  note          = {Erratum, p. 361}
30643}
30644
30645@Book{            himmelblau:applied,
30646  author        = {D. M. Himmelblau},
30647  title         = {Applied Nonlinear Programming},
30648  year          = {1972},
30649  publisher     = {McGraw--Hill},
30650  address       = {New York}
30651}
30652
30653@Book{            hiriart-urruty.lemarechal:convex,
30654  author        = {Jean-Baptiste Hiriart-Urruty and Claude Lemar\'{e}chal},
30655  title         = {Convex Analysis and Minimization Algorithms {I}},
30656  year          = {1993},
30657  publisher     = {Springer Verlag},
30658  address       = {Berlin},
30659  volume        = {305},
30660  series        = {Grundlehren der mathematischen Wissenschaften}
30661}
30662
30663@TechReport{      hironaka:introduction,
30664  author        = {H. Hironaka},
30665  title         = {Introduction to real-analytic sets and real-analytic maps},
30666  institution   = {Instituto Matematico ``L. Tonelli'', Universit\`a di Pisa},
30667  year          = {1973},
30668  type          = {Technical Report},
30669  address       = {Pisa, Italy}
30670}
30671
30672@Article{         ho.lee.ea:decomposition,
30673  author        = {J. K. Ho and T. C. Lee and R. P. Sundarraj},
30674  title         = {Decomposition of Linear Programs Using Parallel Computation},
30675  journal       = {Mathematical Programming},
30676  year          = {1988},
30677  volume        = {42},
30678  pages         = {391--405}
30679}
30680
30681@Article{         ho.loute:computational,
30682  author        = {J. K. Ho and E. Loute},
30683  title         = {Computational Experience with Advanced Implementation of Decomposition Algorithms
30684                  for Linear Programming},
30685  journal       = {Mathematical Programming},
30686  year          = {1983},
30687  volume        = {27},
30688  pages         = {283--290}
30689}
30690
30691@Book{            hock.schittkowski:test,
30692  author        = {W. Hock and K. Schittkowski},
30693  title         = {Test Examples for Nonlinear Programming Codes},
30694  volume        = {187},
30695  series        = {Lecture Notes in Economics and Mathematical Systems},
30696  year          = {1981},
30697  publisher     = {Springer Verlag},
30698  address       = {Berlin, Germany}
30699}
30700
30701@Book{            hockney.jesshope:parallel,
30702  author        = {R. W. Hockney and C. R. Jesshope},
30703  title         = {Parallel Computers 2},
30704  publisher     = {Adam Hilger},
30705  year          = {1988},
30706  address       = {Bristol}
30707}
30708
30709@Article{         hoffman:approximate,
30710  author        = {A. J. Hoffman},
30711  title         = {On Approximate Solutions of Systems of Linear Inequalities},
30712  journal       = {Journal of Research of the National Bureau of Standards},
30713  year          = {1952},
30714  volume        = {49},
30715  pages         = {263--265}
30716}
30717
30718@Article{         hogan:comments,
30719  author        = {W. W. Hogan},
30720  title         = {Comments on Manne and Richels: `{CO2} Emission Limits: An Economic Cost Analysis
30721                  for the {USA}},
30722  journal       = {The Energy Journal},
30723  year          = {1990},
30724  volume        = {11},
30725  pages         = {75--84}
30726}
30727
30728@Article{         hogan:energy,
30729  author        = {W. W. Hogan},
30730  title         = {Energy Policy Models for {P}roject {I}ndependence},
30731  journal       = {Computers \& Operations Research},
30732  year          = {1975},
30733  volume        = {2},
30734  pages         = {251--271}
30735}
30736
30737@Book{            holland:adaptation,
30738  author        = {J. Holland},
30739  title         = {Adaptation in Natural and Artificial Systems},
30740  year          = {1975},
30741  publisher     = {The University of Michigan Press},
30742  address       = {Ann Arbor, Michigan}
30743}
30744
30745@Article{         holmes.mackie:comparison,
30746  author        = {T. Holmes and T. R. Mackie},
30747  title         = {A comparison of three inverse treatment planning algorithms},
30748  journal       = {Physics in Medicine and Biology},
30749  year          = {1994},
30750  volume        = {39},
30751  number        = {1},
30752  pages         = {91--106}
30753}
30754
30755@Article{         holmes.mackie:filtered,
30756  author        = {T. Holmes and T. R. Mackie},
30757  title         = {A filtered backprojection dose calculation method for inverse treatment
30758                  planning},
30759  journal       = {Medical Physics},
30760  year          = {1994},
30761  volume        = {21},
30762  number        = {2},
30763  pages         = {303--313}
30764}
30765
30766@Article{         hooke.jeeves:direct,
30767  author        = {R. Hooke and T. A. Jeeves},
30768  title         = {Direct Search Solution of Numerical and Statistical Problems},
30769  journal       = {Journal of Associated Computing Machinery},
30770  year          = {1961},
30771  volume        = {8},
30772  pages         = {212--229}
30773}
30774
30775@Article{         hoppe.mittelmann:multi-grid,
30776  author        = {R. H. W. Hoppe and H. D. Mittelmann},
30777  title         = {A Multi-grid Continuation Strategy for Parameter-dependent Variational
30778                  Inequalities},
30779  journal       = {Journal of Computational and Applied Mathematics},
30780  year          = {1989},
30781  volume        = {26},
30782  pages         = {35--46}
30783}
30784
30785@Book{            horn.johnson:matrix,
30786  author        = {R. A. Horn and C. R. Johnson},
30787  title         = {Matrix Anaysis},
30788  publisher     = {Cambridge University Press},
30789  year          = {1985},
30790  address       = {Cambridge, England}
30791}
30792
30793@Article{         hornik.stinchcombe.ea:multilayer,
30794  author        = {K. Hornik and M. Stinchcombe and H. White},
30795  title         = {Multilayer Feedforward Networks are Universal Approximators},
30796  journal       = {Neural Networks},
30797  year          = {1989},
30798  volume        = {2},
30799  pages         = {359--366}
30800}
30801
30802@Article{         horowitz.sahni:computing,
30803  author        = {E. Horowitz and S. Sahni},
30804  title         = {Computing Partitions with Applications to the Knapsack Problem},
30805  journal       = {jacm},
30806  year          = {1974},
30807  volume        = {21},
30808  pages         = {277--292}
30809}
30810
30811@Article{         hristov.fallone:continuous,
30812  author        = {D. H. Hristov and B. G. Fallone},
30813  title         = {A continuous penalty function method for inverse treatment planning},
30814  journal       = {Medical Physics},
30815  year          = {1998},
30816  volume        = {25},
30817  number        = {2},
30818  pages         = {208--223}
30819}
30820
30821@Article{         hu.cheng.ea:numerical,
30822  author        = {Y. Hu and H. S. Cheng and T. Arai and Y. Kobayashi and S. Aoyama},
30823  title         = {Numerical simulation of piston ring in mixed lubrication---a nonaxisymmetrical
30824                  analysis},
30825  journal       = {Transactions of the {ASME}},
30826  volume        = {116},
30827  year          = {1994},
30828  pages         = {470--478}
30829}
30830
30831@InProceedings{   hua.sheu:skyscraper,
30832  author        = {K. A. Hua and S. Sheu},
30833  title         = {Skyscraper Broadcasting: {A} New Broadcasting System for Metropolitan
30834                  Video-On-Demand Systems},
30835  year          = {1997},
30836  booktitle     = {Proceedings of the {ACM SIGCOMM'97} Conference},
30837  address       = {Cannes, France},
30838  pages         = {89--100}
30839}
30840
30841@Article{         huang.pang:option,
30842  author        = {J. Huang and J. S. Pang},
30843  title         = {Option Pricing and Linear Complementarity},
30844  journal       = {Journal of Computational Finance},
30845  volume        = {2},
30846  year          = {1998},
30847  pages         = {31--60}
30848}
30849
30850@InCollection{    huard:resolution,
30851  author        = {P. Huard},
30852  title         = {Resolution of Mathematical Programming with Nonlinear Constraints by the Method
30853                  of Centers},
30854  booktitle     = {Nonlinear Programming},
30855  year          = {1967},
30856  editor        = {J. Abadie},
30857  publisher     = {North--Holland},
30858  address       = {Amsterdam},
30859  pages         = {207--219}
30860}
30861
30862@Book{            huber:robust,
30863  author        = {P. J. Huber},
30864  title         = {Robust Statistics},
30865  year          = {1981},
30866  publisher     = {John Wiley},
30867  address       = {New York}
30868}
30869
30870@Book{            hudson:piecewise,
30871  author        = {J. F. P. Hudson},
30872  title         = {Piecewise Linear Topology},
30873  publisher     = {Benjamin},
30874  address       = {New York},
30875  year          = {1969}
30876}
30877
30878@InCollection{    hunter.markusen.ea:north,
30879  author        = {L. Hunter and J. R. Markusen and T. F. Rutherford},
30880  title         = {{N}orth {A}merican free trade and the production of finished automobiles},
30881  booktitle     = {Modeling North American Economic Integration},
30882  publisher     = {Kluwer Academic Publishers},
30883  year          = {1995},
30884  editor        = {T. Kehoe and P. Kehoe},
30885  pages         = {117--130}
30886}
30887
30888@Article{         ibarra.kim:fast,
30889  author        = {O. H. Ibarra and C. E. Kim},
30890  title         = {Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems},
30891  journal       = {jacm},
30892  year          = {1975},
30893  volume        = {22},
30894  pages         = {463--468}
30895}
30896
30897@Article{         ijiri:fundamental,
30898  author        = {Y. Ijiri},
30899  title         = {Fundamental Queries in Aggregation Theory},
30900  journal       = {Journal of the American Statistical Association},
30901  year          = {1971},
30902  volume        = {66},
30903  pages         = {766--782}
30904}
30905
30906@Article{         ingargiola.korsh:reduction,
30907  author        = {G. P. Ingargiola and J. F. Korsh},
30908  title         = {A Reduction Algorithm for the Zero--One Single Knapsack Problem},
30909  journal       = {Management Science},
30910  year          = {1973},
30911  volume        = {20},
30912  pages         = {460--463}
30913}
30914
30915@Article{         ioffe:variational,
30916  author        = {A. D. Ioffe},
30917  title         = {Variational Analysis of a Composite Function: {A} Formula for the Lower
30918                  Second--Order Directional Derivative},
30919  journal       = {Journal of Mathematical Analysis and its Applications},
30920  year          = {1993}
30921}
30922
30923@Article{         iri.imai:multiplicative,
30924  author        = {M. Iri and H. Imai},
30925  title         = {A Multiplicative Barrier Function Method for Linear Programming},
30926  journal       = {Algorithmica},
30927  year          = {1986},
30928  volume        = {1},
30929  pages         = {455--482}
30930}
30931
30932@Article{         isac.goeleven:implicit,
30933  author        = {G. Isac and D. Goeleven},
30934  title         = {The Implicit General Order Complementarity Problem, Models and Iterative
30935                  Methods},
30936  journal       = {Annals of Operations Research},
30937  year          = {1993}
30938}
30939
30940@Article{         isac.kostreva:generalized,
30941  author        = {G. Isac and M. M. Kostreva},
30942  title         = {The Generalized Order Complementarity Problem},
30943  journal       = {Journal of Optimization Theory and Applications},
30944  volume        = {19},
30945  pages         = {227--232},
30946  year          = {1991}
30947}
30948
30949@Book{            isac:complementarity,
30950  author        = {G. Isac},
30951  title         = {Complementarity Problems},
30952  publisher     = {Springer-Verlag},
30953  year          = {1992},
30954  series        = {Lecture Notes in Mathematics},
30955  address       = {New York}
30956}
30957
30958@Article{         iusem.svaiter:variant,
30959  author        = {A. N. Iusem and B. F. Svaiter},
30960  title         = {A Variant of {K}orpelevich's Method for Variational Inequalities with a New
30961                  Search Strategy},
30962  journal       = {Optimization},
30963  year          = {1997},
30964  volume        = {42},
30965  pages         = {309--321}
30966}
30967
30968@Article{         iusem:convergence,
30969  author        = {A. N. Iusem},
30970  title         = {On the Convergence of Iterative Methods for Symmetric Linear Complementarity
30971                  Problems},
30972  journal       = {Mathematical Programming},
30973  year          = {1993},
30974  volume        = {59},
30975  pages         = {33--48}
30976}
30977
30978@Article{         jackson.kutcher.ea:probability,
30979  author        = {A. Jackson and G. J. Kutcher and E. D. Yorke},
30980  title         = {Probability of Radiation-Induced Complications for Normal Tissues with Parallel
30981                  Architecture subject to Non-Uniform Irradiation},
30982  journal       = {Medical Physics},
30983  year          = {1993},
30984  volume        = {20},
30985  pages         = {613--625}
30986}
30987
30988@Article{         jackson:optimization,
30989  author        = {A. Jackson and X. H. Wang and R. Mohan},
30990  title         = {Optimization of Conformal Treatment Planning and Quadratic Dose Objectives
30991                  (abstract)},
30992  journal       = {Medical Physics},
30993  year          = {1994},
30994  volume        = {21},
30995  pages         = {1006}
30996}
30997
30998@TechReport{      jackson:scheduling,
30999  author        = {J. R. Jackson},
31000  title         = {Scheduling a Production Line to Minimize Maximum Tardiness},
31001  institution   = {University of California},
31002  year          = {1955},
31003  address       = {Los Angeles},
31004  number        = {43},
31005  type          = {Research Report}
31006}
31007
31008@Article{         jansen.roos.ea:polynomiality,
31009  author        = {B. Jansen and C. Roos and T. Terlaky and A. Yoshise},
31010  title         = {Polynomiality of Primal-Dual Affine Scaling Algorithms for Nonlinear
31011                  Complementarity Problems},
31012  journal       = {Mathematical Programming},
31013  volume        = {78},
31014  pages         = {315--346},
31015  year          = {1997}
31016}
31017
31018@Article{         jiang.fukushima.ea:trust,
31019  author        = {H. Jiang and M. Fukushima and L. Qi and D. Sun},
31020  title         = {A Trust Region Method for Solving Generalized Complementarity Problems},
31021  journal       = {SIAM Journal on Optimization},
31022  volume        = {8},
31023  pages         = {140--157},
31024  year          = {1998}
31025}
31026
31027@Article{         jiang.qi:nonsmooth,
31028  author        = {H. Jiang and L. Qi},
31029  title         = {A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems},
31030  journal       = {SIAM Journal on Control and Optimization},
31031  volume        = {35},
31032  pages         = {178--193},
31033  year          = {1997}
31034}
31035
31036@TechReport{      jiang.ralph:qpecgen,
31037  author        = {H. Jiang and D. Ralph},
31038  title         = {{QPECgen}, a {MATLAB} Generator for Mathematical Programs with Quadratic
31039                  Objectives and Affine Variational Inequality Constraints},
31040  year          = {1997},
31041  institution   = {Department of Mathematics and Statistics, The University of Melbourne},
31042  address       = {Australia}
31043}
31044
31045@TechReport{      jiang.ralph:smooth,
31046  author        = {H. Jiang and D. Ralph},
31047  title         = {Smooth {SQP} methods for Mathematical Programs with Nonlinear Complementarity
31048                  Constraints},
31049  year          = {1997},
31050  institution   = {Department of Mathematics and Statistics, The University of Melbourne},
31051  address       = {Australia}
31052}
31053
31054@Article{         jiang:unconstrained,
31055  author        = {H. Jiang},
31056  title         = {Unconstrained Minimization Approaches to Nonlinear Complementarity Problems},
31057  journal       = {Journal of Global Optimization, forthcoming},
31058  year          = {1997}
31059}
31060
31061@Article{         jittorntrum.osborne:strong,
31062  author        = {K. Jittorntrum and M. R. Osborne},
31063  title         = {Strong uniqueness and second order convergence in nonlinear discrete
31064                  approximation},
31065  journal       = {Numerische Mathematik},
31066  year          = {1980},
31067  volume        = {34},
31068  pages         = {439--455}
31069}
31070
31071@InProceedings{   jog.suh.ea:effects,
31072  crossref      = {schaeffer:third},
31073  author        = {P. Jog and J. Y. Suh and D. Van Gucht},
31074  title         = {The Effects of Population Size, Heuristic Crossover and Local Improvement on a
31075                  Genetic Algorithm for the Travelling Salesman Problem},
31076  pages         = {110--115}
31077}
31078
31079@Article{         jog.suh.ea:parallel,
31080  author        = {P. Jog and J. Y. Suh and D. Van Gucht},
31081  title         = {Parallel Genetic Algorithms Applied to the Travelling Salesman Problem},
31082  journal       = {SIAM Journal on Optimization},
31083  year          = {1991},
31084  volume        = {1}
31085}
31086
31087@Article{         johansson.klarbring:rigid,
31088  author        = {L. Johansson and A. Klarbring},
31089  title         = {The Rigid Punch Problem with Friction using Variational Inequalities and Linear
31090                  Complementarity},
31091  journal       = {Mechanics of Structures \& Machines},
31092  volume        = {20},
31093  pages         = {293--319},
31094  year          = {1992}
31095}
31096
31097@Article{         johnson.aragon.ea:optimization,
31098  author        = {D. S. Johnson and C. R. Aragon and L. A. McGeoch and C. Schevon},
31099  title         = {Optimization by Simulated Annealing: An Experimental Evaluation; Part {I}, Graph
31100                  Partitioning},
31101  journal       = {Operations Research},
31102  year          = {1989},
31103  volume        = {37},
31104  pages         = {865--892}
31105}
31106
31107@Article{         johnson:optimally,
31108  author        = {R. Johnson},
31109  title         = {Optimally Balancing Large Assembly Lines with {FABLE}},
31110  journal       = {Management Science},
31111  year          = {1988},
31112  volume        = {34},
31113  pages         = {240--253}
31114}
31115
31116@Article{         johnsson:solving,
31117  author        = {S. L. Johnsson},
31118  title         = {Solving Tridiagonal Systems on Ensemble Architectures},
31119  journal       = {SIAM Journal on Scientific and Statistical Computing},
31120  year          = {1987},
31121  volume        = {8},
31122  pages         = {475--489}
31123}
31124
31125@Article{         jorgenson.wilcoxen:reducing,
31126  author        = {D. W. Jorgenson and P. J. Wilcoxen},
31127  title         = {Reducing {US} Carbon Emissions: An Econometric General Equilibrium Assessment},
31128  journal       = {Resource and Energy Economics},
31129  year          = {1993},
31130  volume        = {15},
31131  pages         = {7--25}
31132}
31133
31134@TechReport{      josephy:hogans,
31135  author        = {N. H. Josephy},
31136  title         = {Hogan's {PIES} Example and {L}emke's Algorithm},
31137  institution   = {Mathematics Research Center, University of Wisconsin--Madison},
31138  year          = {1979},
31139  address       = {Madison, Wisconsin},
31140  number        = {1972},
31141  type          = {Technical Summary Report}
31142}
31143
31144@TechReport{      josephy:newton,
31145  author        = {N. H. Josephy},
31146  title         = {A {N}ewton Method for the {PIES} Energy Model},
31147  institution   = {Mathematics Research Center, University of Wisconsin--Madison},
31148  year          = {1979},
31149  address       = {Madison, Wisconsin},
31150  number        = {1971},
31151  type          = {Technical Summary Report}
31152}
31153
31154@PhDThesis{       josephy:newtons,
31155  author        = {N. H. Josephy},
31156  title         = {{N}ewton's Method for Generalized Equations and the {PIES} Energy Model},
31157  year          = {1979},
31158  school        = {Department of Industrial Engineering, University of Wisconsin--Madison}
31159}
31160
31161@TechReport{      josephy:newtons*1,
31162  author        = {N. H. Josephy},
31163  title         = {{N}ewton's Method for Generalized Equations},
31164  institution   = {Mathematics Research Center, University of Wisconsin},
31165  year          = {1979},
31166  address       = {Madison, Wisconsin},
31167  number        = {1965},
31168  type          = {Technical Summary Report}
31169}
31170
31171@TechReport{      josephy:quasi-newton,
31172  author        = {N. H. Josephy},
31173  title         = {Quasi--{N}ewton Methods for Generalized Equations},
31174  institution   = {Mathematics Research Center, University of Wisconsin},
31175  year          = {1979},
31176  address       = {Madison, Wisconsin},
31177  number        = {1966},
31178  type          = {Technical Summary Report}
31179}
31180
31181@PhDThesis{       kabbadj:methodes,
31182  author        = {S. Kabbadj},
31183  title         = {Methodes Proximales Entropiques},
31184  school        = {Universit\'{e} de Montpellier II -- Sciences et Techniques du Languedoc},
31185  year          = {1994},
31186  type          = {Doctoral Thesis}
31187}
31188
31189@Book{            kall.wallace:stochastic,
31190  author        = {P. Kall and S. W. Wallace},
31191  title         = {Stochastic Programming},
31192  publisher     = {John Wiley \& Sons},
31193  year          = {1994},
31194  address       = {Chichester}
31195}
31196
31197@Article{         kallman.agren.ea:tumor,
31198  author        = {P. Kallman and A. Agren and A. Brahme},
31199  title         = {Tumor and Normal Tissue Responses to Fractionated Non-Uniform Dose Delivery},
31200  journal       = {International Journal of Radiation Biology},
31201  year          = {1992},
31202  volume        = {62},
31203  pages         = {249--262}
31204}
31205
31206@Misc{            kalvelagen:gams,
31207  author        = {Erwin Kalvelagen},
31208  title         = {The {GAMS} {I/O} Library},
31209  howpublished  = {mimeo, GAMS Development Corporation},
31210  year          = {1992},
31211  note          = {Preliminary Version}
31212}
31213
31214@Article{         kaneko:complete,
31215  author        = {I. Kaneko},
31216  title         = {Complete solution of a class of elastic-plastic structures},
31217  journal       = {Computer Methods in Applied Mechanics and Engineering},
31218  volume        = {21},
31219  year          = {1980},
31220  pages         = {193--209}
31221}
31222
31223@Article{         kaneko:mathematical,
31224  author        = {I. Kaneko},
31225  title         = {A mathematical programming method for the inelastic analysis of reinforced
31226                  concrete frames},
31227  journal       = {International Journal for Numerical Methods in Engineering},
31228  volume        = {11},
31229  year          = {1977},
31230  pages         = {1137--1154}
31231}
31232
31233@Article{         kaneko:piecewise,
31234  author        = {I. Kaneko},
31235  title         = {Piecewise linear elastic-plastic analysis},
31236  journal       = {International Journal for Numerical Methods in Engineering},
31237  volume        = {14},
31238  year          = {1979},
31239  pages         = {757--767}
31240}
31241
31242@Article{         kanet:minimizing,
31243  author        = {J. J. Kanet},
31244  title         = {Minimizing the Average Deviation of Job Completion Times about a Common Due
31245                  Date},
31246  journal       = {Naval Research Logistics Quarterly},
31247  year          = {1981},
31248  volume        = {28},
31249  pages         = {643--651}
31250}
31251
31252@Article{         kantorovich:mathematical,
31253  author        = {L. V. Kantorovich},
31254  title         = {Mathematical Methods in the Organization and Planning of Production},
31255  journal       = {Management Science},
31256  year          = {1960},
31257  volume        = {6},
31258  pages         = {366--422},
31259  note          = {English translation, Russian version 1939}
31260}
31261
31262@Article{         kanzow.fukushima:equivalence,
31263  author        = {C. Kanzow and M. Fukushima},
31264  title         = {Equivalence of the Generalized Complementarity Problem to Differentiable
31265                  Unconstrained Minimization},
31266  journal       = {Journal of Optimization Theory and Applications},
31267  year          = {1996},
31268  volume        = {90},
31269  pages         = {581--603}
31270}
31271
31272@Article{         kanzow.fukushima:theoretical,
31273  author        = {C. Kanzow and M. Fukushima},
31274  title         = {Theoretical and Numerical Investigation of the {D}-gap function for
31275                  Box-Constrained Variational Inequalities},
31276  journal       = {Mathematical Programming},
31277  year          = {1998},
31278  volume        = {83},
31279  pages         = {55--88}
31280}
31281
31282@Article{         kanzow.jiang:continuation,
31283  author        = {C. Kanzow and H. Jiang},
31284  title         = {A Continuation Method for (Strongly) Monotone Variational Inequalities},
31285  journal       = {Mathematical Programming},
31286  year          = {1998},
31287  volume        = {81},
31288  pages         = {103--125}
31289}
31290
31291@Article{         kanzow.kleinmichel:class,
31292  author        = {C. Kanzow and H. Kleinmichel},
31293  title         = {A Class of {N}ewton-Type Methods for Equality and Inequality Constrained
31294                  Optimization},
31295  journal       = {Optimization Methods and Software},
31296  year          = {1995},
31297  volume        = {5},
31298  pages         = {173--198}
31299}
31300
31301@Article{         kanzow.kleinmichel:new,
31302  author        = {C. Kanzow and H. Kleinmichel},
31303  title         = {A New Class of Semismooth {N}ewton-Type Methods for Nonlinear Complementarity
31304                  Problems},
31305  journal       = {Computational Optimization and Applications},
31306  volume        = {11},
31307  pages         = {227--251},
31308  year          = {1998}
31309}
31310
31311@Article{         kanzow.pieper:jacobian,
31312  author        = {C. Kanzow and H. Pieper},
31313  title         = {Jacobian Smoothing Methods for Nonlinear Complementarity Problems},
31314  journal       = {SIAM Journal on Optimization},
31315  year          = {1999},
31316  volume        = {9},
31317  pages         = {342--373}
31318}
31319
31320@Article{         kanzow.qi:qp-free,
31321  author        = {C. Kanzow and H. -D. Qi},
31322  title         = {A {QP}-free constrained {N}ewton-type method for variational inequality
31323                  problems},
31324  journal       = {Mathematical Programming},
31325  year          = {1999},
31326  volume        = {85},
31327  pages         = {81--106}
31328}
31329
31330@Article{         kanzow.yamashita.ea:ncp-functions,
31331  author        = {C. Kanzow and N. Yamashita and M. Fukushima},
31332  title         = {New {NCP}-functions and their properties},
31333  journal       = {Journal of Optimization Theory and Applications},
31334  year          = {1997},
31335  volume        = {94},
31336  pages         = {115--135}
31337}
31338
31339@TechReport{      kanzow.zupke:inexact,
31340  author        = {C. Kanzow and M. Zupke},
31341  title         = {Inexact Trust-Region Methods for Nonlinear Complementarity Problems},
31342  year          = {1997},
31343  institution   = {Institute of Applied Mathematics, University of Hamburg},
31344  type          = {Preprint},
31345  number        = {127},
31346  address       = {Hamburg, Germany}
31347}
31348
31349@Article{         kanzow:approach,
31350  author        = {C. Kanzow},
31351  title         = {A New Approach to Continuation Methods for Complementarity Problems with Uniform
31352                  {P}-Functions},
31353  journal       = {Operations Research Letters},
31354  volume        = {20},
31355  year          = {1997},
31356  pages         = {85--92}
31357}
31358
31359@Article{         kanzow:equation-based,
31360  author        = {C. Kanzow},
31361  title         = {Some Equation--Based Methods for the Nonlinear Complementarity Problem},
31362  journal       = {Optimization Methods and Software},
31363  year          = {1994},
31364  volume        = {3},
31365  pages         = {327--340}
31366}
31367
31368@Article{         kanzow:global,
31369  author        = {C. Kanzow},
31370  title         = {Global Convergence Properties of Some Iterative Methods for Linear
31371                  Complementarity Problems},
31372  journal       = {SIAM Journal on Optimization},
31373  year          = {1996},
31374  volume        = {6},
31375  pages         = {326--341}
31376}
31377
31378@Article{         kanzow:inexact,
31379  author        = {C. Kanzow},
31380  title         = {An Inexact {QP}--based method for nonlinear complementarity problems},
31381  journal       = {Numerische Mathematik, forthcoming},
31382  year          = {1999}
31383}
31384
31385@Article{         kanzow:noninterior,
31386  author        = {C. Kanzow},
31387  title         = {Some Noninterior Continuation Methods for Linear Complementarity Problems},
31388  journal       = {SIAM Journal on Matrix Analysis and Applications},
31389  volume        = {17},
31390  pages         = {851--868},
31391  year          = {1996}
31392}
31393
31394@Article{         kanzow:nonlinear,
31395  author        = {C. Kanzow},
31396  title         = {Nonlinear Complementarity as Unconstrained Optimization},
31397  journal       = {Journal of Optimization Theory and Applications},
31398  year          = {1996},
31399  volume        = {88},
31400  pages         = {139--155}
31401}
31402
31403@TechReport{      kanzow:semismooth,
31404  author        = {C. Kanzow},
31405  title         = {Semismooth {N}ewton-Type Methods for the Solution of Nonlinear Complementarity
31406                  Problems},
31407  institution   = {Institute of Applied Mathematics, University of Hamburg},
31408  year          = {1997},
31409  type          = {Preprint},
31410  address       = {Hamburg, Germany}
31411}
31412
31413@TechReport{      kanzow:tools,
31414  annote        = {This should be replaced by kanzow:noninterior},
31415  author        = {C. Kanzow},
31416  title         = {Some Tools Allowing Interior--Point Methods to Become Noninterior},
31417  institution   = {Institute of Applied Mathematics, University of Hamburg},
31418  year          = {1994},
31419  address       = {Germany}
31420}
31421
31422@Article{         kaplan.meier:nonparametric,
31423  author        = {E. L. Kaplan and P. Meier},
31424  title         = {Nonparametric Estimation from Incomplete Observations},
31425  journal       = {J. Am. Stat. Assoc.},
31426  year          = {1958},
31427  volume        = {53},
31428  pages         = {457--481}
31429}
31430
31431@Article{         karamardian:complementarity,
31432  author        = {S. Karamardian},
31433  title         = {The Complementarity Problem},
31434  journal       = {Mathematical Programming},
31435  year          = {1972},
31436  volume        = {2},
31437  pages         = {107--129}
31438}
31439
31440@Article{         karamardian:complementarity*1,
31441  author        = {S. Karamardian},
31442  title         = {Complementarity Problems over {C}ones with Monotone and Pseudomonotone Maps},
31443  journal       = {Journal of Optimization Theory and Applications},
31444  year          = {1976},
31445  volume        = {18},
31446  pages         = {445--454}
31447}
31448
31449@Article{         karamardian:generalized,
31450  author        = {S. Karamardian},
31451  title         = {Generalized Complementarity Problem},
31452  journal       = {Journal of Optimization Theory and Applications},
31453  year          = {1971},
31454  volume        = {8},
31455  pages         = {161--167}
31456}
31457
31458@Article{         karmarkar.karp.ea:probabilistic,
31459  author        = {N. Karmarkar and R. M. Karp and G. S. Lueker and A. M. Odlyzko},
31460  title         = {Probabilistic Analysis of Optimum Partitioning},
31461  journal       = {Journal of Applied Probability},
31462  year          = {1986},
31463  volume        = {23},
31464  pages         = {626--645}
31465}
31466
31467@Article{         karmarkar:polynomial,
31468  author        = {N. Karmarkar},
31469  title         = {A New Polynomial Time Algorithm for Linear Programming},
31470  journal       = {Combinatorica},
31471  year          = {1984},
31472  volume        = {4},
31473  pages         = {373--395}
31474}
31475
31476@Unpublished{     karp:probabilistic,
31477  author        = {R. M. Karp},
31478  title         = {Probabilistic Analysis of Algorithms},
31479  note          = {(Lecture Notes)}
31480}
31481
31482@InCollection{    karp:reducibility,
31483  author        = {R. M. Karp},
31484  title         = {Reducibility among Combinatorial Problems},
31485  booktitle     = {Complexity of Computer Computations},
31486  year          = {1972},
31487  editor        = {R. E. Miller and J. W. Thatcher},
31488  publisher     = {Plenum Press},
31489  address       = {New York},
31490  pages         = {85--103}
31491}
31492
31493@MastersThesis{   karush:minima,
31494  author        = {W. Karush},
31495  title         = {Minima of Functions of Several Variables with Inequalities as Side Conditions},
31496  year          = {1939},
31497  school        = {Department of Mathematics, University of Chicago}
31498}
31499
31500@TechReport{      karypis.kumar:metis,
31501  author        = {G. Karypis and V. Kumar},
31502  title         = {{METIS}: Unstructured Graph Partitioning and Sparse Matrix Ordering System,
31503                  Version 2.0},
31504  institution   = {University of Minnesota, Department of Computer Science},
31505  type          = {Technical Report},
31506  address       = {Minnesota},
31507  year          = {1995}
31508}
31509
31510@TechReport{      karypis.kumar:multilevel,
31511  author        = {G. Karypis and V. Kumar},
31512  title         = {Multilevel k-way Partitioning Scheme for Irregular Graphs},
31513  institution   = {University of Minnesota, Department of Computer Science},
31514  type          = {Technical Report},
31515  number        = {95-064},
31516  address       = {Minnesota},
31517  year          = {1995}
31518}
31519
31520@Article{         katukani:generalization,
31521  author        = {S. Katukani},
31522  title         = {A Generalization of {B}rouwer's Fixed Point Theorem},
31523  journal       = {Duke Mathematical Journal},
31524  year          = {1941},
31525  volume        = {8},
31526  pages         = {457--459}
31527}
31528
31529@Article{         keifer.wolfowitz:stochastic,
31530  author        = {J. Keifer and J. Wolfowitz},
31531  title         = {Stochastic Estimation of the Maximum of a Regression Function},
31532  journal       = {Annals of Mathematical Statistics},
31533  year          = {1952},
31534  volume        = {23},
31535  pages         = {462--466}
31536}
31537
31538@InCollection{    kellog.li.ea:method,
31539  author        = {R. B. Kellog and T. Y. Li and J. A. Yorke},
31540  title         = {A Method of Continuation for Calculating a {B}rouwer Fixed Point},
31541  booktitle     = {Computing Fixed Points with Applications},
31542  year          = {1977},
31543  editor        = {S. Karamardian},
31544  publisher     = {Academic Press},
31545  pages         = {133--147}
31546}
31547
31548@Book{            kennington.helgason:algorithms,
31549  author        = {J. L. Kennington and R. V. Helgason},
31550  title         = {Algorithms for Network Programming},
31551  year          = {1980},
31552  publisher     = {John Wiley \& Sons},
31553  address       = {New York}
31554}
31555
31556@Article{         kernighan.lin:efficient,
31557  author        = {B. W. Kernighan and S. Lin},
31558  title         = {An Efficient Heuristic Procedure for Partitioning Graphs},
31559  journal       = {The Bell System Technical Journal},
31560  pages         = {291--307},
31561  volume        = {29},
31562  year          = {1970}
31563}
31564
31565@Article{         khachian:polynomial,
31566  author        = {L. G. Khachian},
31567  title         = {A Polynomial Algorithm for Linear Programming},
31568  journal       = {Soviet Mathematics Doklady},
31569  year          = {1979},
31570  volume        = {20},
31571  pages         = {191--194}
31572}
31573
31574@Article{         khobotov:modification,
31575  author        = {E. N. Khobotov},
31576  title         = {A Modification of the Extragradient Method for the Solution of Variational
31577                  Inequalities and some Optimization Problems},
31578  journal       = {Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki},
31579  year          = {1987},
31580  volume        = {27},
31581  pages         = {1462--1473}
31582}
31583
31584@Book{            khuri.cornell:response,
31585  author        = {A. I. Khuri and J. A. Cornell},
31586  title         = {Response Surfaces: Designs and Analyses},
31587  publisher     = {Marcel Dekker},
31588  year          = {1987},
31589  address       = {New York}
31590}
31591
31592@Article{         kibardin:decomposition,
31593  author        = {V. M. Kibardin},
31594  title         = {Decomposition into Functions in the Minimization Problems},
31595  journal       = {Automation and Remote Control},
31596  year          = {1980},
31597  volume        = {40},
31598  pages         = {1311--1323}
31599}
31600
31601@TechReport{      king:sposl,
31602  author        = {A. J. King},
31603  title         = {{SP/OSL} Version 1.0 Stochastic Programming Interface Library User's Guide},
31604  institution   = {IBM T.J. Watson Research Center},
31605  year          = {1994},
31606  number        = {RC 19757},
31607  address       = {Yorktown Heights, New York}
31608}
31609
31610@Article{         kirkpatrick.gelatt.ea:optimization,
31611  author        = {S. Kirkpatrick and C. D. Gelatt and M. P. {Vecchi Jr.}},
31612  title         = {Optimization by Simulated Annealing},
31613  journal       = {Science},
31614  year          = {1983},
31615  volume        = {220},
31616  pages         = {671--680}
31617}
31618
31619@Book{            kiwiel:methods,
31620  author        = {K. C. Kiwiel},
31621  title         = {Methods of Descent for Nondifferentiable Optimization},
31622  year          = {1985},
31623  publisher     = {Springer-Verlag},
31624  address       = {Berlin},
31625  series        = {Lecture Notes in Mathematics},
31626  number        = {1133}
31627}
31628
31629@Article{         kiwiel:twice,
31630  author        = {K. C. Kiwiel},
31631  title         = {On the Twice Differentiable Cubic Augmented {L}agrangian},
31632  journal       = {Journal of Optimization Theory and Applications},
31633  year          = {1996},
31634  volume        = {88},
31635  pages         = {233--236}
31636}
31637
31638@Article{         klarbring.bjorkman:mathematical,
31639  author        = {A. Klarbring and G. Bj{\"{o}}rkman},
31640  title         = {A mathematical programming approach to contact problems with friction and varying
31641                  contact surface},
31642  journal       = {Computers \& Structures},
31643  volume        = {30},
31644  year          = {1988},
31645  pages         = {1185--1198}
31646}
31647
31648@Article{         klarbring.bjorkman:solution,
31649  author        = {A. Klarbring and G. Bj{\"{o}}rkman},
31650  title         = {Solution of large displacement contact problems with friction using {N}ewton's
31651                  method for generalized equations},
31652  journal       = {International Journal for Numerical Methods in Engineering},
31653  volume        = {34},
31654  year          = {1992},
31655  pages         = {249--269}
31656}
31657
31658@Article{         klarbring.pang:existence,
31659  author        = {A. Klarbring and J. S. Pang},
31660  title         = {Existence of solution to discrete semicoercive frictional contact problems},
31661  journal       = {{SIAM} Journal on Optimization, under review},
31662  year          = {1996}
31663}
31664
31665@Article{         klarbring:discrete,
31666  author        = {A. Klarbring},
31667  title         = {On Discrete and Discretized Non-linear Elastic Structures in Unilateral Contact
31668                  (Stability, Uniqueness and Variational Principles)},
31669  journal       = {International Journal on Solids and Structures},
31670  volume        = {24},
31671  pages         = {459--479},
31672  year          = {1988}
31673}
31674
31675@TechReport{      klarbring:large,
31676  author        = {A. Klarbring},
31677  title         = {Large Displacement Frictional Contact: a Continuum Framework for Finite Element
31678                  Discretization},
31679  number        = {LiTH-IKP-R-798},
31680  institution   = {Department of Mechanical Engineering, Link{\"o}ping Institute of Technology},
31681  address       = {Link{\"o}ping},
31682  year          = {1994}
31683}
31684
31685@Article{         klarbring:mathematical,
31686  author        = {A. Klarbring},
31687  title         = {A mathematical programming approach to three dimensional contact problems with
31688                  friction},
31689  journal       = {Computer Methods in Applied Mechanics and Engineering},
31690  volume        = {58},
31691  year          = {1986},
31692  pages         = {175--200}
31693}
31694
31695@InCollection{    klarbring:mathematical*1,
31696  author        = {A. Klarbring},
31697  title         = {Mathematical programming and augmented {L}agrangian methods for frictional
31698                  contact problems},
31699  editor        = {A. Curnier},
31700  booktitle     = {Proceedings Contact Mechanics International Symposium},
31701  publisher     = {Presse Polytechniques et Universitaires Romandes},
31702  address       = {Lausanne},
31703  year          = {1992},
31704  pages         = {409--422}
31705}
31706
31707@InCollection{    klarbring:mathematical*2,
31708  author        = {A. Klarbring},
31709  title         = {Mathematical programming in contact problems},
31710  editors       = {M. H. Aliabadi and C. A. Brebbia},
31711  booktitle     = {Computational Methods for Contact Problems},
31712  publisher     = {Computational Mechanics Publications},
31713  address       = {Southampton},
31714  year          = {1993},
31715  pages         = {233--264}
31716}
31717
31718@Article{         klarbring:quadratic,
31719  author        = {A. Klarbring},
31720  title         = {A quadratic program in frictionless contact problems},
31721  journal       = {International Journal of Engineering Science},
31722  volume        = {24},
31723  pages         = {1207--1217},
31724  year          = {1986}
31725}
31726
31727@InCollection{    klee.minty:how,
31728  author        = {V. Klee and G. J. Minty},
31729  title         = {How Good is the Simplex Algorithm?},
31730  booktitle     = {Inequalities--III},
31731  year          = {1972},
31732  publisher     = {Academic Press},
31733  pages         = {159--175}
31734}
31735
31736@Article{         kleywegt.shapiro:sample,
31737  author        = {A. Kleywegt and A. Shapiro},
31738  title         = {The Sample Average Approximation Method for Stochastic Discrete Optimization},
31739  journal       = {Stochastic Programming E-Print Series},
31740  year          = {1999},
31741  note          = {Available from dochost.rz.hu-berlin.de/speps}
31742}
31743
31744@Book{            knuth:art,
31745  author        = {D. E. Knuth},
31746  title         = {The Art of Computer Programming},
31747  publisher     = {Addison-Wesley Longman Inc.},
31748  address       = {Reading, Massachusetts},
31749  year          = {1998},
31750  edition       = {Third},
31751  volume        = {2}
31752}
31753
31754@InProceedings{   kocvara.outrata:nonsmooth,
31755  author        = {M. Ko\v{c}vara and J. V. Outrata},
31756  title         = {A nonsmooth approach to optimization problems with equilibrium constraints},
31757  crossref      = {ferris.pang:complementarity},
31758  pages         = {148--164}
31759}
31760
31761@Article{         kocvara.outrata:optimization,
31762  author        = {M. Ko\v{c}vara and J. V. Outrata},
31763  title         = {On Optimization of Systems Governed by Implicit Complementarity Problems},
31764  volume        = {15},
31765  journal       = {Numerical Fucntional Analysis and Optimization},
31766  year          = {1994},
31767  pages         = {869--887}
31768}
31769
31770@InCollection{    kocvara.outrata:solution,
31771  author        = {M. Ko\v{c}vara and J. V. Outrata},
31772  title         = {On the solution of optimum design problems with variational inequalities},
31773  editors       = {D. Z. Du and L. Qi and R. Womersley},
31774  booktitle     = {Recent Advances in Nonsmooth Optimization},
31775  publisher     = {World Scientific Publishers},
31776  address       = {Singapore},
31777  year          = {1995},
31778  pages         = {172--192}
31779}
31780
31781@Article{         kojima.hirabayashi:homotopy,
31782  author        = {M. Kojima and R. Hirabayashi},
31783  title         = {Continuous deformation of nonlinear programs},
31784  journal       = {Mathematical Programming Study},
31785  editor        = {A.~V. Fiacco},
31786  publisher     = {North--Holland},
31787  address       = {Amsterdam},
31788  year          = {1984},
31789  volume        = {21},
31790  pages         = {150--198}
31791}
31792
31793@Article{         kojima.megiddo.ea:homotopy,
31794  author        = {M. Kojima and N. Megiddo and T. Noma},
31795  title         = {Homotopy Continuation Methods for Nonlinear Complementarity Problems},
31796  journal       = {Mathematics of Operations Research},
31797  year          = {1991},
31798  volume        = {16},
31799  pages         = {754--774}
31800}
31801
31802@TechReport{      kojima.megiddo.ea:primal-dual,
31803  author        = {M. Kojima and N. Megiddo and S. Mizuno},
31804  title         = {A primal-dual exterior point algorithm for linear programming},
31805  institution   = {IBM Alamaden Research Center},
31806  year          = {1991},
31807  number        = {RJ 8500},
31808  address       = {San Jose, California}
31809}
31810
31811@Book{            kojima.megiddo.ea:unified,
31812  author        = {M. Kojima and N. Megiddo and T. Noma and A. Yoshise},
31813  title         = {A Unified Approach to Interior Point Algorithms for Linear Complementarity
31814                  Problems},
31815  year          = {1991},
31816  publisher     = {Springer-Verlag},
31817  address       = {Berlin},
31818  volume        = {538},
31819  series        = {Lecture Notes in Computer Science}
31820}
31821
31822@Article{         kojima.mizuno.ea:continuation,
31823  author        = {M. Kojima and S. Mizuno and T. Noma},
31824  title         = {A New Continuation Method for Complementarity Problems with Uniform
31825                  {P}-function},
31826  journal       = {Mathematical Programming},
31827  year          = {1989},
31828  volume        = {43},
31829  pages         = {107--113}
31830}
31831
31832@TechReport{      kojima.mizuno.ea:infeasible,
31833  author        = {M. Kojima and S. Mizuno and M. Todd},
31834  title         = {Infeasible interior-point primal-dual potential-reduction algorithms for linear
31835                  programming},
31836  institution   = {School of Operations Research and Industrial Engineering, Cornell University},
31837  year          = {1992},
31838  number        = {1023},
31839  address       = {Ithaca, New York},
31840  month         = aug
31841}
31842
31843@Article{         kojima.mizuno.ea:onl,
31844  author        = {M. Kojima and S. Mizuno and A. Yoshise},
31845  title         = {An ${O}(\sqrt{n}{L})$ iteration potential reduction algorithm for linear
31846                  complementarity problems},
31847  journal       = {Mathematical Programming},
31848  year          = {1991},
31849  volume        = {50},
31850  pages         = {331--342}
31851}
31852
31853@Article{         kojima.mizuno.ea:polynomial-time,
31854  author        = {M. Kojima and S. Mizuno and A. Yoshise},
31855  title         = {A Polynomial-Time Algorithm for a Class of Linear Complementarity Problems},
31856  journal       = {Mathematical Programming},
31857  year          = {1989},
31858  volume        = {44},
31859  pages         = {1--20}
31860}
31861
31862@Article{         kojima.noma.ea:global,
31863  author        = {M. Kojima and T. Noma and A. Yoshise},
31864  title         = {Global Convergence in Infeasible Interior--Point Algorithms},
31865  journal       = {Mathematical Programming},
31866  volume        = {65},
31867  pages         = {43--72},
31868  year          = {1994}
31869}
31870
31871@Article{         kojima.shindo.ea:interior-point,
31872  author        = {M. Kojima and S. Shindo and S. Hara},
31873  title         = {Interior--Point Methods for the Monotone Semidefinite Linear Complementarity
31874                  Problem in Symmetric Matrices},
31875  journal       = {SIAM Journal on Optimization},
31876  volume        = {7},
31877  pages         = {86--125}
31878}
31879
31880@Article{         kojima.shindo:extensions,
31881  author        = {M. Kojima and S. Shindo},
31882  title         = {Extensions of {N}ewton and Quasi-{N}ewton Methods to Systems of {PC}$^1$
31883                  Equations},
31884  journal       = {Journal of Operations Research Society of Japan},
31885  year          = {1986},
31886  volume        = {29},
31887  pages         = {352--374}
31888}
31889
31890@Article{         kojima:computational,
31891  author        = {M. Kojima},
31892  title         = {Computational Methods for Solving the Nonlinear Complementarity Problem},
31893  journal       = {Keio Engineering Reports},
31894  year          = {1974},
31895  volume        = {27},
31896  pages         = {1--41}
31897}
31898
31899@Article{         kojima:recent,
31900  author        = {M. Kojima},
31901  title         = {Recent advances in mathematical programming. {X}. Computation of fixed points by
31902                  continuation methods},
31903  journal       = {Systems and Control},
31904  year          = {1981},
31905  volume        = {25},
31906  pages         = {421--430}
31907}
31908
31909@Article{         kolesar:branch,
31910  author        = {P. J. Kolesar},
31911  title         = {A Branch and Bound Algorithm for the Knapsack Problem},
31912  journal       = {Management Science},
31913  year          = {1967},
31914  volume        = {13},
31915  pages         = {723--735}
31916}
31917
31918@Book{            kolman.beck:elementary,
31919  author        = {B. Kolman and R. E. Beck},
31920  title         = {Elementary Linear Programming with Applications},
31921  year          = {1980},
31922  publisher     = {Academic Press}
31923}
31924
31925@Book{            koopmans:activity,
31926  editor        = {T. C. Koopmans},
31927  title         = {Activity Analysis of Production and Allocation},
31928  publisher     = {John Wiley},
31929  address       = {New York},
31930  year          = {1951}
31931}
31932
31933@Article{         korpelevich:extragradient,
31934  author        = {G. M. Korpelevich},
31935  title         = {The Extragradient Method for Finding Saddle Points and Other Problems},
31936  journal       = {Matecon},
31937  year          = {1976},
31938  volume        = {12},
31939  pages         = {747--756}
31940}
31941
31942@Article{         kortanek.shi:convergence,
31943  author        = {K. O. Kortanek and M. Shi},
31944  title         = {Convergence Results and Numerical Experiments on a Linear Programming Hybrid
31945                  Algorithm},
31946  journal       = {European Journal of Operational Research},
31947  year          = {1987},
31948  volume        = {32},
31949  pages         = {47--61}
31950}
31951
31952@TechReport{      kortanek.shi:remarks,
31953  author        = {K. O. Kortanek and M. Shi},
31954  title         = {Remarks on `Convergence Results and Numerical Experiments on a Linear Programming
31955                  Hybrid Algorithm 1985-6'},
31956  institution   = {College of Business Administration, University of Iowa},
31957  year          = {1987},
31958  address       = {Iowa City},
31959  number        = {87--1},
31960  type          = {Working Paper}
31961}
31962
31963@TechReport{      kortanek:vector-supercomputer,
31964  author        = {K. O. Kortanek},
31965  title         = {Vector--Supercomputer Experiments with the Linear Programming Scaling Algorithm},
31966  institution   = {College of Business Administration, University of Iowa},
31967  year          = {1987},
31968  address       = {Iowa City},
31969  number        = {87--2},
31970  type          = {Working Paper}
31971}
31972
31973@Article{         kostreva:block,
31974  author        = {M. M. Kostreva},
31975  title         = {Block Pivot Methods for Solving the Complementarity Problem},
31976  journal       = {Linear Algebra and Its Applications},
31977  volume        = {21},
31978  pages         = {207--215},
31979  year          = {1978}
31980}
31981
31982@Article{         kostreva:elasto-hydrodynamic,
31983  author        = {M. M. Kostreva},
31984  title         = {Elasto-hydrodynamic Lubrication: {A} non-linear complementarity problem},
31985  journal       = {International Journal for Numerical Methods in Fluids},
31986  year          = {1984},
31987  volume        = {4},
31988  pages         = {377--397}
31989}
31990
31991@Article{         kostreva:recent,
31992  author        = {M. M. Kostreva},
31993  title         = {Recent Results on Complementarity Models for Engineering and Economics},
31994  journal       = {Infor, Journal of the Canadian {OR} Society},
31995  year          = {1990},
31996  volume        = {28},
31997  pages         = {324--334}
31998}
31999
32000@Article{         kotiah.steinberg:occurrences,
32001  author        = {T. C. T. Kotiah and D. I. Steinberg},
32002  title         = {Occurrences of Cycling and Other Phenomena Arising in a Class of Linear
32003                  Programming Models},
32004  journal       = {Communications of the ACM},
32005  volume        = {20},
32006  year          = {1977},
32007  pages         = {107--112}
32008}
32009
32010@Article{         kotiah.steinberg:possibility,
32011  author        = {T. C. T. Kotiah and D. I. Steinberg},
32012  title         = {On the Possibility of Cycling with the Simplex Method},
32013  journal       = {Operations Research},
32014  volume        = {26},
32015  year          = {1978},
32016  pages         = {374--376}
32017}
32018
32019@InCollection{    kuhn.tucker:nonlinear,
32020  author        = {H. W. Kuhn and A. W. Tucker},
32021  title         = {Nonlinear Programming},
32022  booktitle     = {Proceedings of the Second Berkeley Symposium on Mathematical Statistics and
32023                  Probability},
32024  year          = {1951},
32025  editor        = {J. Neyman},
32026  publisher     = {University of California Press},
32027  address       = {Berkeley and Los Angeles},
32028  pages         = {481--492}
32029}
32030
32031@Article{         kummer:metric,
32032  author        = {B. Kummer},
32033  title         = {Metric regularity: characterizations, nonsmooth variations, and successive
32034                  approximation},
32035  journal       = {Journal of Mathematical Analysis and its Applications},
32036  year          = {},
32037  optkey        = {},
32038  optvolume     = {},
32039  optnumber     = {},
32040  optpages      = {},
32041  optmonth      = {},
32042  optnote       = {},
32043  optannote     = {}
32044}
32045
32046@InCollection{    kummer:newtons,
32047  author        = {B. Kummer},
32048  title         = {{N}ewton's Method for Non--Differentiable Functions},
32049  booktitle     = {Advances in Mathematical Optimization},
32050  publisher     = {Akademie--Verlag},
32051  year          = {1988},
32052  editors       = {J. Guddat et al.},
32053  pages         = {114--125},
32054  address       = {Berlin}
32055}
32056
32057@Unpublished{     kuntsevich.kappel:solvopt,
32058  author        = {A. Kuntsevich and F. Kappel},
32059  title         = {{SolvOpt}: The Solver for Local Nonlinear Optimization Problems},
32060  year          = {1997},
32061  note          = {Institute for Mathematics, Karl-Franzens University of Graz},
32062  url           = {http://bedvgm.kfunigraz.ac.at:8001/alex/solvopt/solvopt.html}
32063}
32064
32065@Book{            kushner.clark:stochastic,
32066  author        = {H. J. Kushner and D. S. Clark},
32067  title         = {Stochastic Approximation Methods for Constrained and Unconstrained Systems},
32068  publisher     = {Springer-Verlag},
32069  year          = {1978},
32070  address       = {New York}
32071}
32072
32073@Article{         kutcher.burman.ea:histogram,
32074  author        = {G. J. Kutcher and C. Burman and L. Brewster and M. Goitein and R. Mohan},
32075  title         = {Histogram reduction method for calculating complication probabilities for
32076                  three-dimensional treatment planning evaluation},
32077  journal       = {International Journal of Radiation Oncology, Biology and Physics},
32078  year          = {1991},
32079  optvolume     = {21},
32080  optpages      = {137-146}
32081}
32082
32083@Article{         kutcher.burman:calculation,
32084  author        = {G. J. Kutcher and C. Burman},
32085  title         = {Calculation of Complication Probability Factors for Non-Uniform Normal Tissue
32086                  Irradiation: The Effective Volume Method},
32087  journal       = {International Journal of Radiation Oncology, Biology and Physics},
32088  year          = {1989},
32089  volume        = {16},
32090  pages         = {1623--1630}
32091}
32092
32093@Article{         kwak.lee:complementarity,
32094  author        = {B. M. Kwak and B. C. Lee.},
32095  title         = {A Complementarity Problem Formulation for Two-Dimensional Frictional Contact
32096                  Problem},
32097  journal       = {Computers and Structures},
32098  volume        = {18},
32099  pages         = {469--480},
32100  year          = {1988}
32101}
32102
32103@Article{         kwak:complementarity,
32104  author        = {B. M. Kwak},
32105  title         = {Complementarity Problem Formulation of Three-Dimensional Frictional Contact},
32106  journal       = {Journal of Applied Mechanics},
32107  volume        = {58},
32108  pages         = {134--140},
32109  year          = {1991}
32110}
32111
32112@Article{         lagarias.reeds.ea:convergence,
32113  author        = {J. C. Lagarias and J. A. Reeds and M. H. Wright and P. E. Wright},
32114  title         = {Convergence of the {N}elder-{M}ead Simplex method in Low Dimensions},
32115  journal       = {SIAM Journal on Optimization},
32116  year          = {1998},
32117  volume        = {9},
32118  pages         = {112--147}
32119}
32120
32121@Article{         lahaye:methode,
32122  author        = {E. Lahaye},
32123  title         = {Une {M}\'{e}thode de {R}\'{e}solution d'une Cat\'{e}gorie d'\'{E}quations
32124                  transcendantes},
32125  journal       = {C. R. Acad. Sci. Paris},
32126  year          = {1934},
32127  volume        = {198},
32128  pages         = {1840--1842}
32129}
32130
32131@Article{         lahaye:solution,
32132  author        = {E. Lahaye},
32133  title         = {Solution of Systems of Transcendental Equations},
32134  journal       = {Acad. Roy. Belg. Bull. Cl. Sci.},
32135  year          = {1948},
32136  volume        = {5},
32137  pages         = {805--822}
32138}
32139
32140@Article{         lahenbruch.mickey:estimation,
32141  author        = {P. A. Lahenbruch and R. M. Mickey},
32142  title         = {Estimation of Error Rates in Discriminant Analysis},
32143  journal       = {Technometrics},
32144  year          = {1968},
32145  volume        = {10},
32146  pages         = {1--11}
32147}
32148
32149@Article{         lakshminarayan.lakshmanan.ea:optimal,
32150  author        = {S. Lakshminarayan and R. Lakshmanan and R. L. Papineau and R. Rochette},
32151  title         = {Optimal Single--Machine Scheduling with Earliness and Tardiness},
32152  journal       = {Operations Research},
32153  year          = {1978},
32154  volume        = {26},
32155  pages         = {1079--1082}
32156}
32157
32158@Article{         land.doig:automatic,
32159  author        = {A. H. Land and A. G. Doig},
32160  title         = {An Automatic Method for Solving Discrete Programming Problems},
32161  journal       = {Econometrica},
32162  volume        = {28},
32163  year          = {1960},
32164  pages         = {497-520}
32165}
32166
32167@Article{         langer.morrill:comparison,
32168  author        = {M. Langer and S. Morrill},
32169  title         = {A comparison of mixed integer programming and fast simulated annealing for
32170                  optimized beam weights in radiation therapy},
32171  journal       = {Medical Physics},
32172  year          = {1996},
32173  volume        = {23},
32174  number        = {6},
32175  pages         = {957--964}
32176}
32177
32178@Article{         larsson.patriksson:class,
32179  author        = {T. Larsson and M. Patriksson},
32180  title         = {A Class of Gap Functions for Variational Inequalities},
32181  journal       = {Mathematical Programming},
32182  year          = {1994},
32183  volume        = {64},
32184  pages         = {53--79}
32185}
32186
32187@Article{         lasdon.waren.ea:solving,
32188  author        = {L. S. Lasdon and A. Waren and S. Sarkar and F. Palacios},
32189  title         = {Solving the Pooling Problem Using Generalized Reduced Gradient and Successive
32190                  Linear Programming Algorithms},
32191  journal       = {ACM SIGMAP Bulletin},
32192  year          = {1979},
32193  volume        = {27},
32194  pages         = {9--15}
32195}
32196
32197@TechReport{      lawler.lenstra.ea:sequencing,
32198  author        = {E. L. Lawler and J. K. Lenstra and A. H. G. Rinnooy Kan and D. B. Shmoys},
32199  title         = {Sequencing and Scheduling: Algorithms and Complexity},
32200  institution   = {Centre for Mathematics and Computer Science},
32201  year          = {1989},
32202  address       = {P.O. Box 4079, 1009 AB Amsterdam, The Netherlands},
32203  number        = {BS--R89xx}
32204}
32205
32206@Article{         lawler:fast,
32207  author        = {E. L. Lawler},
32208  title         = {Fast Approximations Algorithms for Knapsack Problems},
32209  journal       = {Mathematics of Operations Research},
32210  year          = {1979},
32211  volume        = {4},
32212  pages         = {339--356}
32213}
32214
32215@Book{            lawless:statistical,
32216  author        = {J. F. Lawless},
32217  title         = {Statistical Models and Methods for Lifetime Data},
32218  year          = {1982},
32219  publisher     = {John Wiley and Sons},
32220  address       = {New York, NY}
32221}
32222
32223@Article{         lawrence.spingarn:fixed,
32224  author        = {J. Lawrence and J. E. Spingarn},
32225  title         = {On fixed points of non-expansive piecewise isometric mappings},
32226  journal       = {Proceedings of the London Mathematical Society},
32227  year          = {1987},
32228  volume        = {55},
32229  number        = {3},
32230  pages         = {605--624}
32231}
32232
32233@Article{         leavitt.martin.ea:dynamic,
32234  author        = {D. D. Leavitt and M. Martin and J. H. Moeller and W. L. Lee},
32235  title         = {Dynamic wedge field techniques through computer-controlled collimator motion and
32236                  dose delivery},
32237  journal       = {Medical Physics},
32238  year          = {1990},
32239  volume        = {17},
32240  number        = {1},
32241  pages         = {87--92}
32242}
32243
32244@Article{         leblanc.morlok.ea:efficient,
32245  author        = {L. J. LeBlanc and E. K. Morlok and W. P. Pierskalla},
32246  title         = {An Efficient Approach to Solving the Road Network Equilibrium Traffic Assignment
32247                  Problem},
32248  journal       = {Transportation Research},
32249  volume        = {9},
32250  year          = {1975},
32251  pages         = {309--318}
32252}
32253
32254@Article{         lee:computational,
32255  author        = {S. S. Lee},
32256  title         = {A computational method for frictional contact problem using finite element
32257                  method},
32258  journal       = {International Journal for Numerical Methods in Engineering},
32259  volume        = {37},
32260  year          = {1994},
32261  pages         = {217--228}
32262}
32263
32264@PhDThesis{       lee:military,
32265  author        = {D. K. Lee},
32266  title         = {Military Force Planning Problems Under Uncertainty},
32267  school        = {University of Wisconsin -- Madison},
32268  year          = {1996},
32269  address       = {Madison, Wisconsin}
32270}
32271
32272@Article{         leibel.kutcher.ea:improved,
32273  author        = {S. A. Leibel and G. J. Kutcher and L. B. Harrison and D. E. Fass and C. Burman
32274                  and M. Hunt and R. Mohan and L. J. Brewster and C. C. Ling and Z. Y. Fuks},
32275  title         = {Improved Dose Distributions For 3{D} Conformal Boost Treatments in Carcinoma of
32276                  the Nasopharynx},
32277  journal       = {International Journal of Radiation Oncology, Biology and Physics},
32278  year          = {1991},
32279  volume        = {20},
32280  pages         = {823--833}
32281}
32282
32283@Article{         lee.gallagher.ea:treatment,
32284  author        = {E. K. Lee and R. J. Gallagher and D. Silvern and C. S. Wuu and M. Zaider},
32285  title         = {Treatment Planning for Brachytherapy: an Integer Programming Model, Two
32286                  Computational Approaches and Experiments with Permanent Prostate Implant
32287                  Planning},
32288  journal       = {Physics in Medicine and Biology},
32289  year          = {1999},
32290  volume        = {44},
32291  pages         = {145--165}
32292}
32293
32294@Article{         lemarechal.nemirovskii.ea:variants,
32295  author        = {C. Lemar\'{e}chal and A. Nemirovskii and Y. Nesterov},
32296  title         = {New Variants of Bundle Methods},
32297  year          = {1995},
32298  journal       = {Mathematical Programming},
32299  volume        = {69},
32300  pages         = {111--147}
32301}
32302
32303@InCollection{    lemarechal.strodiot.ea:bundle,
32304  author        = {C. Lemar\'{e}chal and J. J. Strodiot and A. Bihain},
32305  title         = {On a Bundle Algorithm for Nonsmooth Optimization},
32306  booktitle     = {Nonlinear Programming},
32307  year          = {1981},
32308  editor        = {O. L. Mangasarian and R. R. Meyer and S. M. Robinson},
32309  publisher     = {Academic Press},
32310  pages         = {245--282},
32311  volume        = {4}
32312}
32313
32314@Article{         lemke.howson:equilibrium,
32315  author        = {C. E. Lemke and J. T. Howson},
32316  title         = {Equilibrium Points of Bimatrix Games},
32317  journal       = {SIAM Journal on Applied Mathematics},
32318  year          = {1964},
32319  volume        = {12},
32320  pages         = {413--423}
32321}
32322
32323@Article{         lemke:bimatrix,
32324  author        = {C. E. Lemke},
32325  title         = {Bimatrix Equilibrium Points and Mathematical Programming},
32326  journal       = {Management Science},
32327  year          = {1965},
32328  volume        = {11},
32329  pages         = {681--689}
32330}
32331
32332@InCollection{    lemke:complementary,
32333  author        = {C. E. Lemke},
32334  title         = {On Complementary Pivot Theory},
32335  booktitle     = {Mathematics of the Decision Sciences: Part 1},
32336  publisher     = {American Mathematical Society},
32337  year          = {1968},
32338  editor        = {G. B. Dantzig and A. F. Veinott},
32339  volume        = {11},
32340  series        = {Lectures in Applied Mathematics},
32341  address       = {Providence},
32342  pages         = {95--114}
32343}
32344
32345@Article{         levenberg:method,
32346  author        = {K. Levenberg},
32347  title         = {A Method for the Solution of Certain Nonlinear Problems in Least Squares},
32348  journal       = {Quarterly Applied Mathematics},
32349  year          = {1944},
32350  volume        = {2},
32351  pages         = {164--168}
32352}
32353
32354@Article{         levitin.polyak:constrained,
32355  author        = {E. S. Levitin and B. T. Polyak},
32356  title         = {Constrained minimization methods},
32357  journal       = {Computational Mathematics and Mathematical Physics},
32358  year          = {1968},
32359  volume        = {6},
32360  pages         = {1--50},
32361  note          = {Translated from Russian}
32362}
32363
32364@Article{         li.swetis:linear,
32365  author        = {W. Li and J. J. Swetits},
32366  title         = {The Linear $\ell_1$ Estimator and the {H}uber {M}-Estimator},
32367  journal       = {SIAM Journal on Optimization},
32368  volume        = {8},
32369  pages         = {457-475},
32370  year          = {1998}
32371}
32372
32373@TechReport{      li:error,
32374  author        = {W. Li},
32375  title         = {Error Bounds for Piecewise Convex Quadratic Programs and Applications},
32376  institution   = {Department of Mathematics and Statistics, Old Dominion University},
32377  year          = {1993},
32378  address       = {Norfolk, VA 23529},
32379  number        = {TR93-1},
32380  note          = {SIAM Journal on Control and Optimization, to appear}
32381}
32382
32383@TechReport{      li:linearly,
32384  author        = {W. Li},
32385  title         = {Linearly Convergent Descent Methods for Unconstrained Minimization of Convex
32386                  Quadratic Splines},
32387  institution   = {Department of Mathematics and Statistics, Old Dominion University},
32388  year          = {1993},
32389  address       = {Norfolk, VA 23529},
32390  number        = {TR93-3},
32391  note          = {Journal of Optimization Theory and Applications, to appear}
32392}
32393
32394@InProceedings{   li:merit,
32395  author        = {W. Li},
32396  title         = {A Merit Function and a {N}ewton-Type Method for Symmetric Linear Complementarity
32397                  Problems},
32398  crossref      = {ferris.pang:complementarity}
32399}
32400
32401@Article{         li:remarks,
32402  author        = {W. Li},
32403  title         = {Remarks on Convergence of Matrix Splitting Algorithm for the Symmetric Linear
32404                  Complementarity Problem},
32405  journal       = {SIAM Journal on Optimization},
32406  year          = {1993},
32407  volume        = {3},
32408  pages         = {155--163}
32409}
32410
32411@TechReport{      li:sharp,
32412  author        = {W. Li},
32413  title         = {Sharp {L}ipschitz Constants for Basic Optimal Solutions of Linear Programs},
32414  institution   = {Department of Mathematics and Statistics, Old Dominion University},
32415  year          = {1991},
32416  address       = {Norfolk, VA 23529},
32417  number        = {TR91-13},
32418  note          = {SIAM Journal on Control and Optimization, to appear}
32419}
32420
32421@Article{         lin.kernighan:efficient,
32422  author        = {S. Lin and B. W. Kernighan},
32423  title         = {An Efficient Heuristic Algorithm for the Traveling Salesman Problem},
32424  journal       = {Operations Research},
32425  year          = {1973},
32426  volume        = {21},
32427  pages         = {498--516}
32428}
32429
32430@Article{         lin.pang:iterative,
32431  author        = {Y. Y. Lin and J. S. Pang},
32432  title         = {Iterative Methods for Large Convex Quadratic Programs: {A} Survey},
32433  journal       = {SIAM Journal on Control and Optimization},
32434  year          = {1987},
32435  volume        = {25},
32436  pages         = {383--411}
32437}
32438
32439@Unpublished{     linderoth:branch,
32440  author        = {J. Linderoth},
32441  title         = {A {B}ranch-and-{P}rice Approach to Stochastic Integer Programming},
32442  institution   = {Argonne National Laboratories},
32443  year          = {2000},
32444  note          = {Working Paper}
32445}
32446
32447@Article{         lions.stampacchia:variational,
32448  author        = {J. L. Lions and G. Stampacchia},
32449  title         = {Variational Inequalities},
32450  journal       = {Communications on Pure and Applied Math},
32451  year          = {1967},
32452  volume        = {20},
32453  pages         = {493--19}
32454}
32455
32456@Article{         lions.mercier:splitting,
32457  author        = {P.--L. Lions and B. Mercier},
32458  title         = {Splitting Methods for the Sum of Two Nonlinear Operators},
32459  journal       = {SIAM Journal on Numerical Analysis},
32460  year          = {1979},
32461  volume        = {16},
32462  pages         = {964--979}
32463}
32464
32465@Article{         lions:methode,
32466  author        = {P.--L. Lions},
32467  title         = {Une {M}\'{e}thode it\'{e}rative de resolution d'une inequation variationnelle},
32468  journal       = {Israel Journal of Mathematics},
32469  year          = {1978},
32470  volume        = {31},
32471  number        = {2},
32472  pages         = {204--208}
32473}
32474
32475@InProceedings{   litzkow.livny.ea:condor,
32476  author        = {M. J. Litzkow and M. Livny and M. W. Mutka},
32477  title         = {Condor: {A} Hunter of Idle Workstations},
32478  booktitle     = {Proceedings of the 8th International Conference on Distributed Computing
32479                  Systems},
32480  year          = {1988},
32481  pages         = {104--111},
32482  month         = jun
32483}
32484
32485@Article{         liu.nocedal:limited,
32486  author        = {D. C. Liu and J. Nocedal},
32487  title         = {On the Limited Memory Method for Large Scale Optimization},
32488  journal       = {Mathematical Programming},
32489  year          = {1989},
32490  volume        = {45},
32491  pages         = {503--528}
32492}
32493
32494@InBook{          livny.raman:high,
32495  author        = {M. Livny and R. Raman},
32496  title         = {The Grid: Blueprint for a Future Computing Infrastructure},
32497  chapter       = {High Throughput Resource Management},
32498  publisher     = {Morgan Kaufmann Publishers},
32499  year          = {1999},
32500  pages         = {311--337}
32501}
32502
32503@Article{         llacer:inverse,
32504  author        = {J. Llacer},
32505  title         = {Inverse Radiation Treatment Planning using the Dynamically Penalized Likelihood
32506                  Method},
32507  journal       = {Medical Physics},
32508  year          = {1997},
32509  volume        = {24},
32510  number        = {11},
32511  pages         = {1751--1764}
32512}
32513
32514@Book{            lojasiewicz:ensembles,
32515  author        = {M. S. Lojasiewicz},
32516  title         = {Ensembles semi-analytiques},
32517  publisher     = {Institut des Hautes Etudes Scientifiques},
32518  year          = {1964},
32519  address       = {Bures-sur-Yvette}
32520}
32521
32522@Article{         lootsma:logarithmic,
32523  author        = {F. A. Lootsma},
32524  title         = {Logarithmic Programming: {A} Method of Solving Nonlinear Programming Problems},
32525  journal       = {Phillips Research Reports},
32526  year          = {1967},
32527  volume        = {22},
32528  pages         = {329--344}
32529}
32530
32531@InCollection{    lootsma:survey,
32532  author        = {F. A. Lootsma},
32533  title         = {A Survey of Methods for Solving Constrained Minimization Problems via
32534                  Unconstrained Minimization},
32535  booktitle     = {Numerical Methods for Nonlinear Optimization},
32536  year          = {1972},
32537  editor        = {F. A. Lootsma},
32538  publisher     = {Academic Press},
32539  address       = {London}
32540}
32541
32542@TechReport{      lopezdesilanes.markusen.ea:anti-competitive,
32543  author        = {F. {Lopez-de-Silanes} and J. R. Markusen and T. F. Rutherford},
32544  title         = {Anti--Competitive and Rent--Shifting Aspects of Domestic--Content Provisions in
32545                  Regional Trade Blocks},
32546  institution   = {National Bureau of Economic Research, Inc.},
32547  year          = {1993},
32548  number        = {4512},
32549  address       = {Cambridge, Massechusetts}
32550}
32551
32552@InCollection{    lopezdesilanes.markusen.ea:auto,
32553  author        = {F. {Lopez-de-Silanes} and J. R. Markusen and T. F. Rutherford},
32554  title         = {The auto industry and the {N}orth {A}merican free-trade agreement},
32555  year          = {1994},
32556  booktitle     = {Modelling Trade Policy: AGE Assessments of North American Free Trade},
32557  publisher     = {Cambridge University Press},
32558  editor        = {C. Shields and J. Francois}
32559}
32560
32561@Article{         lopezdesilanes.markusen.ea:complementarity,
32562  author        = {F. {Lopez-de-Silanes} and J. R. Markusen and T. F. Rutherford},
32563  title         = {Complementarity and Increasing Returns in Intermediate Inputs},
32564  journal       = {Journal of Development Economics},
32565  year          = {1994},
32566  volume        = {45},
32567  pages         = {133--151}
32568}
32569
32570@Article{         lopezdesilanes.markusen.ea:trade,
32571  author        = {F. {Lopez-de-Silanes} and J. R. Markusen and T. F. Rutherford},
32572  title         = {Trade Policy Subtleties with Multinational Firms},
32573  journal       = {European Economic Review},
32574  year          = {1996}
32575}
32576
32577@Article{         lotstedt:coulomb,
32578  author        = {P. L{\"{o}}tstedt},
32579  title         = {Coulomb friction in two-dimensional rigid body systems},
32580  journal       = {Zeitschrift f{\"{u}}r Angewandte Mathematik und Mechanik},
32581  volume        = {61},
32582  year          = {1981},
32583  pages         = {605--615}
32584}
32585
32586@Article{         lotstedt:mechanical,
32587  author        = {P. L{\"{o}}tstedt},
32588  title         = {Mechanical systems of rigid bodies subject to unilateral constraints},
32589  journal       = {SIAM Journal on Applied Mathematics},
32590  volume        = {42},
32591  year          = {1982},
32592  pages         = {281--296}
32593}
32594
32595@Book{            luenberger:linear,
32596  author        = {D. G. Luenberger},
32597  title         = {Linear and Nonlinear Programming},
32598  year          = {1984},
32599  publisher     = {Addison-Wesley},
32600  edition       = {Second}
32601}
32602
32603@Book{            luenberger:optimization,
32604  author        = {D. G. Luenberger},
32605  title         = {Optimization by Vector Space Methods},
32606  year          = {1969},
32607  publisher     = {John Wiley \& Sons},
32608  address       = {New York}
32609}
32610
32611@Article{         lundy.mees:convergence,
32612  author        = {M. Lundy and A. Mees},
32613  title         = {Convergence of an Annealing Algorithm},
32614  journal       = {Mathematical Programming},
32615  year          = {1986},
32616  volume        = {34},
32617  pages         = {111--124}
32618}
32619
32620@Article{         luo.luo:extension,
32621  author        = {X.-D. Luo and Z.-Q. Luo},
32622  title         = {Extension of Hoffman's Error Bound to Polynomial Systems},
32623  journal       = {SIAM Journal on Optimization},
32624  year          = {1994},
32625  volume        = {4},
32626  pages         = {383--392}
32627}
32628
32629@Article{         luo.mangasarian.ea:error,
32630  author        = {Z.-Q. Luo and O. L. Mangasarian and J. Ren and M. V. Solodov},
32631  title         = {New Error Bounds for the Linear Complementarity Problem},
32632  journal       = {Mathematics of Operations Research},
32633  year          = {1994},
32634  pages         = {880--892},
32635  volume        = {19}
32636}
32637
32638@Article{         luo.pang.ea:exact,
32639  author        = {Z.-Q. Luo and J. S. Pang and D. Ralph and S.-Q. Wu},
32640  title         = {Exact Penalization and Stationarity Conditions of Mathematical Programs with
32641                  Equilibrium Constraints},
32642  journal       = {Mathematical Programming},
32643  volume        = {75},
32644  pages         = {19--76},
32645  year          = {1996}
32646}
32647
32648@Book{            luo.pang.ea:mathematical,
32649  author        = {Z.-Q. Luo and J. S. Pang and D. Ralph},
32650  title         = {Mathematical Programs with Equilibrium Constraints},
32651  publisher     = {Cambridge University Press},
32652  year          = {1996}
32653}
32654
32655@Article{         luo.pang:error,
32656  author        = {Z.-Q. Luo and J. S. Pang},
32657  title         = {Error Bounds for Analytic Systems and their Applications},
32658  journal       = {Mathematical Programming},
32659  year          = {1994},
32660  volume        = {67},
32661  pages         = {1--28}
32662}
32663
32664@Article{         luo.shu.ea:optimizing,
32665  author        = {L. Luo and H. Shu and W. Yu and Y. Yan and X. Bao and Y. Fu},
32666  title         = {Optimizing computerized treatment planning for the Gamma Knife by source
32667                  culling},
32668  journal       = {International Journal of Radiation Oncology, Biology and Physics},
32669  year          = {1999},
32670  volume        = {45},
32671  number        = {5},
32672  pages         = {1339--1346}
32673}
32674
32675@InProceedings{   luo.tseng:class,
32676  author        = {Z.-Q. Luo and P. Tseng},
32677  title         = {A New Class of Merit Functions for the Nonlinear Complementarity Problem},
32678  crossref      = {ferris.pang:complementarity},
32679  pages         = {204--225}
32680}
32681
32682@Article{         luo.tseng:convergence,
32683  author        = {Z.-Q. Luo and P. Tseng},
32684  title         = {On the Convergence of the Coordinate Descent Method for Convex Differentiable
32685                  Minimization},
32686  journal       = {Journal of Optimization Theory and Applications},
32687  year          = {1992},
32688  volume        = {72},
32689  pages         = {7--35}
32690}
32691
32692@Article{         luo.tseng:convergence*1,
32693  author        = {Z.-Q. Luo and P. Tseng},
32694  title         = {On the Convergence of a Matrix Splitting Algorithm for the Symmetric Monotone
32695                  Linear Complementarity Problem},
32696  journal       = {SIAM Journal on Control and Optimization},
32697  year          = {1991},
32698  volume        = {29},
32699  pages         = {1037--1060}
32700}
32701
32702@Article{         luo.tseng:convergence*2,
32703  author        = {Z.-Q. Luo and P. Tseng},
32704  title         = {On the Convergence Rate of Dual Ascent Methods for Strictly Convex Minimization},
32705  journal       = {Mathematics of Operations Research},
32706  year          = {1993},
32707  volume        = {18},
32708  pages         = {846--867}
32709}
32710
32711@Article{         luo.tseng:error,
32712  author        = {Z.--Q. Luo and P. Tseng},
32713  title         = {Error Bound and Convergence Analysis of Matrix Splitting Algorithms for the
32714                  Affine Variational Inequality Problem},
32715  journal       = {SIAM Journal on Optimization},
32716  year          = {1992},
32717  volume        = {2},
32718  pages         = {43--54}
32719}
32720
32721@Article{         luo.tseng:error*1,
32722  author        = {Z.-Q. Luo and P. Tseng},
32723  title         = {Error Bound and Reduced Gradient Projection Algorithms for Convex Minimization
32724                  Over a Polyhedral Set},
32725  journal       = {SIAM Journal on Optimization},
32726  year          = {1993},
32727  volume        = {3},
32728  pages         = {43--59}
32729}
32730
32731@Article{         luo.tseng:error*2,
32732  author        = {Z.-Q. Luo and P. Tseng},
32733  title         = {Error Bounds and Convergence Analysis of Feasible Descent Methods: {A} General
32734                  Approach},
32735  journal       = {Annals of Operations Research},
32736  year          = {1993},
32737  volume        = {46},
32738  pages         = {157--178}
32739}
32740
32741@Article{         luo.tseng:global,
32742  author        = {Z.-Q. Luo and P. Tseng},
32743  title         = {On Global Error Bound for a Class of Monotone Affine Variational Inequality
32744                  Problems},
32745  journal       = {Operations Research Letters},
32746  year          = {1992},
32747  volume        = {11},
32748  pages         = {159--165}
32749}
32750
32751@Article{         luo.tseng:linear,
32752  author        = {Z.-Q. Luo and P. Tseng},
32753  title         = {On the linear convergence of descent methods for convex essentially smooth
32754                  minimization},
32755  journal       = {SIAM Journal on Control and Optimization},
32756  year          = {1992},
32757  volume        = {30},
32758  pages         = {408--425}
32759}
32760
32761@TechReport{      luo:convergence,
32762  author        = {Z.-Q. Luo},
32763  title         = {Convergence Analysis of Primal--Dual Interior--Point Algorithms for Convex
32764                  Quadratic Programs},
32765  institution   = {Communications Research Laboratory, McMaster University},
32766  year          = {1992},
32767  address       = {Hamilton, Ontario}
32768}
32769
32770@Article{         lustig.marsten.ea:computational,
32771  author        = {I. J. Lustig and R. E. Marsten and D. F. Shanno},
32772  title         = {Computational Experience with a Primal-Dual Interior Point Method for Linear
32773                  Programming},
32774  journal       = {Linear Algebra and Its Applications},
32775  year          = {1991},
32776  volume        = {152},
32777  pages         = {191--222}
32778}
32779
32780@Article{         lustig.marsten.ea:implementing,
32781  author        = {I. J. Lustig and R. E. Marsten and D. F. Shanno},
32782  title         = {On implementing {M}ehrotra's predictor-corrector interior point method for linear
32783                  programming},
32784  journal       = {SIAM Journal on Optimization},
32785  year          = {1992},
32786  volume        = {2},
32787  pages         = {435--449}
32788}
32789
32790@Article{         lustig.marsten.ea:interior-point,
32791  author        = {I. J. Lustig and R. E. Marsten and D. F. Shanno},
32792  title         = {Interior-Point Methods for Linear Programming: Computational State of the Art},
32793  journal       = {ORSA Journal on Computing},
32794  year          = {1994},
32795  volume        = {6},
32796  number        = {1},
32797  pages         = {1--38}
32798}
32799
32800@Article{         lyman.wolbarst:optimization,
32801  author        = {J. T. Lyman and A. B. Wolbarst},
32802  title         = {Optimization of Radiation Therapy {IV}: {A} Dose Volume Histogram Reduction
32803                  Algorithm},
32804  journal       = {International Journal of Radiation Oncology, Biology and Physics},
32805  year          = {1989},
32806  volume        = {17},
32807  pages         = {433--436}
32808}
32809
32810@Article{         mackie.holmes.ea:tomotherapy*1,
32811  author        = {T. R. Mackie and T. Holmes and S. Swerdloff and P. Reckwerdt and J. O. Deasy and
32812                  J. Yang and B. Paliwal and T. Kinsella},
32813  title         = {Tomotherapy: a new concept for the delivery of dynamic conformal radiotherapy},
32814  journal       = {Medical Physics},
32815  year          = {1993},
32816  volume        = {20},
32817  number        = {6},
32818  pages         = {1709--1719}
32819}
32820
32821@Article{         mackie.holmes.ea:tomotherapy*2,
32822  author        = {T. R. Mackie and T. W. Holmes and P. J. Reckwerdt and J. Yang},
32823  title         = {Tomotherapy: Optimized Planning and Delivery of Radiation Therapy},
32824  journal       = {Int. J. of Imaging Systems and Technology},
32825  year          = {1995},
32826  volume        = {6},
32827  pages         = {43--55}
32828}
32829
32830@Article{         mackie.scrimger.ea:convolution,
32831  author        = {T. R. Mackie and J. W. Scrimger and J. J. Batista},
32832  title         = {A convolution method of calculating dose from 15 Me{V} x-rays},
32833  journal       = {Medical Physics},
32834  year          = {1985},
32835  volume        = {12},
32836  pages         = {188--196}
32837}
32838
32839@Article{         mackinnon:technique,
32840  author        = {James G. Mac{K}innon},
32841  title         = {A Technique for the Solution of Spatial Equilibrium Models},
32842  journal       = {Journal of Regional Science},
32843  year          = {1976},
32844  volume        = {16},
32845  pages         = {293--307}
32846}
32847
32848@PhDThesis{       madsen:minimization,
32849  author        = {K. Madsen},
32850  title         = {Minimization of Nonlinear Approximation Functions},
32851  year          = {1985},
32852  address       = {Lyngby, Denmark},
32853  school        = {Institute of Numerical Analysis, Technical University of Denmark},
32854  annote        = {Dissertation}
32855}
32856
32857@Book{            magill.quinzii:theory,
32858  author        = {M. Magill and M. Quinzii},
32859  title         = {Theory of Incomplete Markets},
32860  publisher     = {MIT Press},
32861  year          = {1996}
32862}
32863
32864@InCollection{    magnanti:models,
32865  author        = {T. L. Magnanti},
32866  title         = {Models and Algorithms for Predicting Urban Traffic Equilibria},
32867  booktitle     = {Transportation Planning Models},
32868  year          = {1984},
32869  editor        = {M. Florian},
32870  publisher     = {North Holland},
32871  pages         = {153--186}
32872}
32873
32874@InCollection{    maguregui:modified,
32875  author        = {J. Maguregui},
32876  title         = {A modified {N}ewton algorithm for functions over convex sets},
32877  crossref      = {mangasarian.meyer.ea:nonlinear*3},
32878  pages         = {461--473}
32879}
32880
32881@PhDThesis{       maguregui:regular,
32882  author        = {J. Maguregui},
32883  title         = {Regular Multivalued Functions and Algorithmic Applications},
32884  year          = {1977},
32885  address       = {Madison, Wisconsin},
32886  school        = {Computer Sciences Department, University of Wisconsin}
32887}
32888
32889@Article{         mahey.oualibouch.ea:proximal,
32890  author        = {P. Mahey and S. Oualibouch and D. T. Pham},
32891  title         = {Proximal Decomposition on the Graph of a Maximal Monotone Operator},
32892  journal       = {SIAM Journal on Optimization},
32893  year          = {1995},
32894  volume        = {5},
32895  pages         = {454--466}
32896}
32897
32898@Article{         mahey.pham:partial,
32899  author        = {P. Mahey and D. T. Pham},
32900  title         = {Partial Regularization of the Sum of Two Maximal Monotone Operators},
32901  journal       = {{RAIRO} Mod\'{e}lisation et Analyse Num\'{e}rique},
32902  year          = {1993},
32903  volume        = {27},
32904  pages         = {375--392}
32905}
32906
32907@InCollection{    maier.novati:shakedown,
32908  author        = {G. Maier and G. Novati},
32909  title         = {A shakedown and bounding theory allowing for nonlinear hardening and second order
32910                  geometric effects with reference to discrete structural models},
32911  editors       = {J. A. K{\"{o}}nig and M. Kleiber},
32912  booktitle     = {Inelastic Solids and Structures, A. Sawczuk memorial volume},
32913  publisher     = {Pineridge Press},
32914  address       = {Swansea},
32915  year          = {1990},
32916  pages         = {451--471}
32917}
32918
32919@Article{         maier:incremental,
32920  author        = {G. Maier},
32921  title         = {Incremental Plastic Analysis in the Presence of Large Displacement and Physical
32922                  Instabilizing Effects},
32923  journal       = {International Journal of Solids and Structures},
32924  volume        = {7},
32925  year          = {1971},
32926  pages         = {345--372}
32927}
32928
32929@InCollection{    maier:inverse,
32930  author        = {G. Maier},
32931  title         = {Inverse Problems in Engineering Plasticity: {A} Quadratic Programming Approach},
32932  booktitle     = {Serie VIII},
32933  publisher     = {Academia Nazionale dei Lincei},
32934  year          = {1981},
32935  volume        = {LXX},
32936  pages         = {203--209}
32937}
32938
32939@Article{         maier:matrix,
32940  author        = {G. Maier},
32941  title         = {A matrix structural theory of piecewise linear elastoplasticity with interacting
32942                  yield planes},
32943  journal       = {Meccanica},
32944  volume        = {5},
32945  year          = {1970},
32946  pages         = {54--66}
32947}
32948
32949@Article{         maier:quadratic,
32950  author        = {G. Maier},
32951  title         = {A quadratic programming approach for certain classes of nonlinear structural
32952                  problems},
32953  journal       = {Meccanica},
32954  volume        = {3},
32955  year          = {1968},
32956  pages         = {121--130}
32957}
32958
32959@Book{            manber:introduction,
32960  author        = {U. Manber},
32961  title         = {Introduction to Algorithms: {A} Creative Approach},
32962  year          = {1989},
32963  publisher     = {Addison-Wesley}
32964}
32965
32966@Article{         mangasarian.deleone:error,
32967  author        = {O. L. Mangasarian and R. {De~Leone}},
32968  title         = {Error Bounds for Strongly Convex Programs and (Super)linearly Convergent
32969                  Iterative Schemes for the Least 2--norm Solution of Linear Programs},
32970  journal       = {Applied Mathematics and Optimization},
32971  year          = {1988},
32972  volume        = {17},
32973  pages         = {1--14}
32974}
32975
32976@Article{         mangasarian.deleone:parallel,
32977  author        = {O. L. Mangasarian and R. {De~Leone}},
32978  title         = {Parallel Successive Overrelaxation Methods for Symmetric Linear Complementarity
32979                  Problems and Linear Programs},
32980  journal       = {Journal of Optimization Theory and Applications},
32981  year          = {1987},
32982  volume        = {54},
32983  pages         = {437--446}
32984}
32985
32986@Article{         mangasarian.fromovitz:fritz,
32987  author        = {O. L. Mangasarian and S. Fromovitz},
32988  title         = {The {F}ritz {J}ohn necessary optimality conditions in the presence of equality
32989                  and inequality constraints},
32990  journal       = {Journal of Mathematical Analysis and its Applications},
32991  year          = {1967},
32992  volume        = {17},
32993  pages         = {37--47}
32994}
32995
32996@Article{         mangasarian.mclinden:simple,
32997  author        = {O. L. Mangasarian and L. McLinden},
32998  title         = {Simple Bounds for Solutions of Monotone Complementarity Problems and Convex
32999                  Programs},
33000  journal       = {Mathematical Programming},
33001  year          = {1985},
33002  volume        = {32},
33003  pages         = {32--40}
33004}
33005
33006@Article{         mangasarian.meyer:nonlinear,
33007  author        = {O. L. Mangasarian and R. R. Meyer},
33008  title         = {Nonlinear Perturbation of Linear Programs},
33009  journal       = {SIAM Journal on Control and Optimization},
33010  year          = {1979},
33011  volume        = {17},
33012  pages         = {745--752}
33013}
33014
33015@TechReport{      mangasarian.musicant:active,
33016  author        = {O. L. Mangasarian and David R. Musicant},
33017  title         = {Active Set Support Vector Machine Classification},
33018  institution   = {Data Mining Institute, Computer Sciences Department, University of Wisconsin},
33019  year          = {2000},
33020  number        = {00-04},
33021  address       = {Madison, Wisconsin}
33022}
33023
33024@TechReport{      mangasarian.musicant:lagrangian,
33025  author        = {O. L. Mangasarian and D. R. Musicant},
33026  title         = {Lagrangian Support Vector Machines},
33027  institution   = {Data Mining Institute, Computer Sciences Department, University of Wisconsin},
33028  year          = {2000},
33029  number        = {00-06},
33030  address       = {Madison, Wisconsin}
33031}
33032
33033@TechReport{      mangasarian.musicant:robust,
33034  author        = {O. L. Mangasarian and David R. Musicant},
33035  title         = {Robust Linear and Support Vector Regression},
33036  institution   = {Data Mining Institute, Computer Sciences Department, University of Wisconsin},
33037  year          = {1999},
33038  number        = {99-09},
33039  address       = {Madison, Wisconsin}
33040}
33041
33042@Article{         mangasarian.musicant:successive,
33043  author        = {O. L. Mangasarian and David R. Musicant},
33044  title         = {Successive Overrelaxation for Support Vector Machines},
33045  journal       = {IEEE Transactions on Neural Networks},
33046  volume        = {10},
33047  year          = {1999},
33048  pages         = {1032-1037}
33049}
33050
33051@Article{         mangasarian.pang:exact,
33052  author        = {O. L. Mangasarian and J. S. Pang},
33053  title         = {Exact Penalty Functions for Mathematical Programs with Linear Complementarity
33054                  Constraints},
33055  journal       = {Optimization},
33056  year          = {1997},
33057  volume        = {42},
33058  pages         = {1--8}
33059}
33060
33061@Article{         mangasarian.pang:extended,
33062  author        = {O. L. Mangasarian and J. S. Pang},
33063  title         = {The Extended Linear Complementarity Problem},
33064  journal       = {SIAM Journal on Matrix Analysis and Applications},
33065  year          = {1994},
33066  volume        = {16}
33067}
33068
33069@Article{         mangasarian.ren:error,
33070  author        = {O. L. Mangasarian and J. Ren},
33071  title         = {New error bounds for the nonlinear complementarity problem},
33072  year          = {1994},
33073  volume        = {1},
33074  pages         = {49--56},
33075  journal       = {Communications on Applied Nonlinear Analysis}
33076}
33077
33078@Article{         mangasarian.ren:improved,
33079  author        = {O. L. Mangasarian and J. Ren},
33080  title         = {New Improved Error Bounds for the Linear Complementarity Problem},
33081  year          = {1994},
33082  volume        = {66},
33083  journal       = {Mathematical Programming},
33084  pages         = {241--255}
33085}
33086
33087@InProceedings{   mangasarian.setiono.ea:pattern,
33088  crossref      = {coleman.li:large-scale},
33089  author        = {O. L. Mangasarian and R. Setiono and W. H. Wolberg},
33090  title         = {Pattern Recognition via Linear Programming: Theory and Application to Medical
33091                  Diagnosis},
33092  pages         = {22--31}
33093}
33094
33095@Article{         mangasarian.shiau:error,
33096  author        = {O. L. Mangasarian and T.--H. Shiau},
33097  title         = {Error Bounds for Monotone Linear Complementarity Problems},
33098  journal       = {Mathematical Programming},
33099  year          = {1986},
33100  volume        = {36},
33101  pages         = {81--89}
33102}
33103
33104@Article{         mangasarian.shiau:lipschitz,
33105  author        = {O. L. Mangasarian and T.--H. Shiau},
33106  title         = {{L}ipschitz Continuity of Solutions of Linear Inequalities, Programs and
33107                  Complementarity Problems},
33108  journal       = {SIAM Journal on Control and Optimization},
33109  year          = {1987},
33110  volume        = {25},
33111  pages         = {583--595}
33112}
33113
33114@Article{         mangasarian.solodov:nonlinear,
33115  author        = {O. L. Mangasarian and M. V. Solodov},
33116  title         = {Nonlinear Complementarity as Unconstrained and Constrained Minimization},
33117  journal       = {Mathematical Programming},
33118  year          = {1993},
33119  volume        = {62},
33120  pages         = {277--298}
33121}
33122
33123@Article{         mangasarian.solodov:serial,
33124  author        = {O. L. Mangasarian and M. V. Solodov},
33125  title         = {Serial and Parallel Backpropagation Convergence via Nonmonotone Perturbed
33126                  Minimization},
33127  year          = {1994},
33128  journal       = {Optimization Methods and Software},
33129  volume        = {4},
33130  pages         = {103--116}
33131}
33132
33133@Article{         mangasarian.street.ea:breast,
33134  author        = {O. L. Mangasarian and W. N. Street and W. H. Wolberg},
33135  title         = {Breast Cancer Diagnosis and Prognosis via Linear Programming},
33136  journal       = {Operations Research},
33137  year          = {1995},
33138  volume        = {43},
33139  pages         = {570--577}
33140}
33141
33142@Article{         mangasarian.wolberg:cancer,
33143  author        = {O. L. Mangasarian and W. H. Wolberg},
33144  title         = {Cancer Diagnosis via Linear Programming},
33145  journal       = {SIAM News},
33146  year          = {1990},
33147  volume        = {23},
33148  pages         = {1 \& 18}
33149}
33150
33151@InCollection{    mangasarian:applications,
33152  author        = {O. L. Mangasarian},
33153  title         = {Some Applications of Penalty Functions in Mathematical Programming},
33154  booktitle     = {Optimization and Related Fields},
33155  year          = {1986},
33156  editor        = {R. Conti and E. De~Giorgi and F. Giannessi},
33157  publisher     = {Springer-Verlag},
33158  address       = {Heidelberg},
33159  pages         = {307--329},
33160  note          = {Lecture Notes in Mathematics 1190}
33161}
33162
33163@Article{         mangasarian:characterization,
33164  author        = {O. L. Mangasarian},
33165  title         = {Characterization of linear complementarity problems as linear programs},
33166  journal       = {Mathematical Programming Study},
33167  year          = {1978},
33168  volume        = {7},
33169  pages         = {74--87}
33170}
33171
33172@InProceedings{   mangasarian:condition,
33173  author        = {O. L. Mangasarian},
33174  title         = {A condition number for linear inequalities and linear programs},
33175  booktitle     = {Proceedings of 6. Symposium uber Operations Research, Augsburg, 7-9 September
33176                  1981},
33177  year          = {1981},
33178  editor        = {G. Bamberg and O. Opitz},
33179  publisher     = {Verlagsgruppe Athenaum/Hain/Scriptor/Hanstein},
33180  address       = {Konigstein},
33181  pages         = {3--15}
33182}
33183
33184@Article{         mangasarian:convergence,
33185  author        = {O. L. Mangasarian},
33186  title         = {On the Convergence of Iterates of an Inexact Matrix Splitting Algorithm for the
33187                  Symmetric Monotone Linear Complementarity Problem},
33188  journal       = {SIAM Journal on Optimization},
33189  volume        = {1},
33190  pages         = {114--122},
33191  year          = {1991}
33192}
33193
33194@Article{         mangasarian:equivalence,
33195  author        = {O. L. Mangasarian},
33196  title         = {Equivalence of the Complementarity Problem to a System of Nonlinear Equations},
33197  journal       = {SIAM Journal on Applied Mathematics},
33198  year          = {1976},
33199  volume        = {31},
33200  pages         = {89--92}
33201}
33202
33203@Article{         mangasarian:error,
33204  author        = {O. L. Mangasarian},
33205  title         = {Error Bounds for Inconsistent Linear Inequalities and Programs},
33206  journal       = {ORSA Journal on Computing},
33207  volume        = {15},
33208  pages         = {187--192},
33209  year          = {1994}
33210}
33211
33212@Article{         mangasarian:error*1,
33213  author        = {O. L. Mangasarian},
33214  title         = {Error Bounds for Nondegenerate Monotone Linear Complementarity Problems},
33215  journal       = {Mathematical Programming},
33216  year          = {1990},
33217  volume        = {48},
33218  pages         = {437--445}
33219}
33220
33221@Article{         mangasarian:generalized,
33222  author        = {O. L. Mangasarian},
33223  title         = {Generalized Linear Complementarity Problems as Linear Programs},
33224  journal       = {Methods of Operations Research},
33225  year          = {1979},
33226  editor        = {W. Oettli and F. Steffens},
33227  volume        = {31},
33228  pages         = {393--402}
33229}
33230
33231@InCollection{    mangasarian:generalized*1,
33232  author        = {O. L. Mangasarian},
33233  title         = {Generalized Support Vector Machines},
33234  year          = {2000},
33235  pages         = {135-146},
33236  booktitle     = {Advances in Large Margin Classifiers},
33237  editor        = {A. Smola and P.~Bartlett and B.~Sch{\"o}lkopf and D.~Schuurmans},
33238  publisher     = {MIT Press},
33239  address       = {Cambridge, MA}
33240}
33241
33242@Article{         mangasarian:global,
33243  author        = {O. L. Mangasarian},
33244  title         = {Global error bounds for monotone affine variational inequality problems},
33245  journal       = {Linear Algebra and Its Applications},
33246  year          = {1992},
33247  pages         = {153--164}
33248}
33249
33250@InCollection{    mangasarian:least,
33251  author        = {O. L. Mangasarian},
33252  title         = {Least Norm Solution of Non--Monotone Complementarity Problems},
33253  booktitle     = {Functional Analysis, Optimization and Mathematical Economics},
33254  year          = {1990},
33255  publisher     = {Oxford University Press},
33256  address       = {New York},
33257  pages         = {217--221}
33258}
33259
33260@Article{         mangasarian:least-norm,
33261  author        = {O. L. Mangasarian},
33262  title         = {Least--Norm Linear Programming Solution as an Unconstrained Minimization
33263                  Problem},
33264  journal       = {Journal of Mathematical Analysis and Applications},
33265  year          = {1983},
33266  volume        = {92},
33267  pages         = {240--251}
33268}
33269
33270@Article{         mangasarian:linear,
33271  author        = {O. L. Mangasarian},
33272  title         = {Linear Complementarity Problems Solvable by a Single Linear Program},
33273  journal       = {Mathematical Programming},
33274  year          = {1976},
33275  volume        = {10},
33276  pages         = {263--270}
33277}
33278
33279@Article{         mangasarian:linear*1,
33280  author        = {O. L. Mangasarian},
33281  title         = {Linear and Nonlinear Separation of Patterns by Linear Programming},
33282  journal       = {Operations Research},
33283  year          = {1965},
33284  volume        = {13},
33285  pages         = {444--452}
33286}
33287
33288@Article{         mangasarian:locally,
33289  author        = {O. L. Mangasarian},
33290  title         = {Locally Unique Solutions of Quadratic Programs, Linear and Nonlinear
33291                  Complementarity Problems},
33292  journal       = {Mathematical Programming},
33293  year          = {1980},
33294  volume        = {19},
33295  pages         = {200--212}
33296}
33297
33298@InCollection{    mangasarian:machine,
33299  author        = {O. L. Mangasarian},
33300  title         = {Machine Learning via Polyhedral Concave Minimization},
33301  editor        = {H. Fischer and B. Riedmueller and S. Schaeffler},
33302  booktitle     = {Applied Mathematics and Parallel Computing - Festschrift for Klaus Ritter},
33303  pages         = {175-188},
33304  year          = {1996},
33305  address       = {Heidelberg},
33306  publisher     = {Physica-Verlag A Springer-Verlag Company}
33307}
33308
33309@Article{         mangasarian:mathematical,
33310  author        = {O. L. Mangasarian},
33311  title         = {Mathematical Programming in Neural Networks},
33312  journal       = {ORSA Journal on Computing},
33313  volume        = {5},
33314  pages         = {349--360},
33315  year          = {1993}
33316}
33317
33318@InProceedings{   mangasarian:mathematical*1,
33319  author        = {O. L. Mangasarian},
33320  title         = {Mathematical Programming in Machine Learning},
33321  booktitle     = {Nonlinear Optimization and Applications},
33322  editor        = {G. Di Pillo and F. Giannessi},
33323  publisher     = {Plenum Publishing},
33324  address       = {New York},
33325  pages         = {283--295},
33326  year          = {1996}
33327}
33328
33329@Article{         mangasarian:mathematical*2,
33330  author        = {O. L. Mangasarian},
33331  title         = {Mathematical Programming in Data Mining},
33332  journal       = {Data Mining and Knowledge Discovery},
33333  volume        = {1},
33334  year          = {1997},
33335  pages         = {183-201}
33336}
33337
33338@Article{         mangasarian:multi-surface,
33339  author        = {O. L. Mangasarian},
33340  title         = {Multi-surface Method of Pattern Separation},
33341  journal       = {IEEE Transactions on Information Theory},
33342  year          = {1968},
33343  volume        = {IT-14},
33344  pages         = {801--807}
33345}
33346
33347@Book{            mangasarian:nonlinear,
33348  author        = {O. L. Mangasarian},
33349  title         = {Nonlinear Programming},
33350  year          = {1969},
33351  publisher     = {McGraw--Hill},
33352  address       = {New York},
33353  note          = {SIAM Classics in Applied Mathematics 10, SIAM, Philadelphia, 1994}
33354}
33355
33356@Article{         mangasarian:normal,
33357  author        = {O. L. Mangasarian},
33358  title         = {Normal Solutions of Linear Programs},
33359  journal       = {Mathematical Programming Study},
33360  year          = {1984},
33361  volume        = {22},
33362  pages         = {206--216}
33363}
33364
33365@Article{         mangasarian:optimal,
33366  author        = {O. L. Mangasarian},
33367  title         = {Optimal Simplex Tableau Characterization of Unique and Bounded Solutions of
33368                  Linear Programs},
33369  journal       = {Journal of Optimization Theory and Applications},
33370  year          = {1981},
33371  volume        = {35},
33372  pages         = {123--128}
33373}
33374
33375@Article{         mangasarian:parallel,
33376  author        = {O. L. Mangasarian},
33377  title         = {Parallel Gradient Distribution in Unconstrained Optimization},
33378  journal       = {SIAM Journal on Control and Optimization},
33379  volume        = {33},
33380  pages         = {1916--1925},
33381  year          = {1995}
33382}
33383
33384@TechReport{      mangasarian:regularized,
33385  author        = {O. L. Mangasarian},
33386  title         = {Regularized Linear Programs with Equilibrium Constraints},
33387  institution   = {Computer Sciences Department, University of Wisconsin},
33388  year          = {1997},
33389  address       = {Madison, Wisconsin},
33390  type          = {Mathematical Programming Technical Report},
33391  number        = {97--13},
33392  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/97-13.ps}
33393}
33394
33395@Article{         mangasarian:simple,
33396  author        = {O. L. Mangasarian},
33397  title         = {A Simple Characterization of Solution Sets of Convex Programs},
33398  journal       = {Operations Research Letters},
33399  year          = {1988},
33400  volume        = {7},
33401  pages         = {21--26}
33402}
33403
33404@Article{         mangasarian:solution,
33405  author        = {O. L. Mangasarian},
33406  title         = {Solution of Symmetric Linear Complementarity Problems by Iterative Methods},
33407  journal       = {Journal of Optimization Theory and Applications},
33408  year          = {1977},
33409  month         = aug,
33410  volume        = {22},
33411  pages         = {465--485}
33412}
33413
33414@Article{         mangasarian:stable,
33415  author        = {O. L. Mangasarian},
33416  title         = {A Stable Theorem of the Alternative: An Extension of the {G}ordan Theorem},
33417  journal       = {Linear Algebra and Its Applications},
33418  year          = {1981},
33419  volume        = {41},
33420  pages         = {209--223}
33421}
33422
33423@Article{         mangasarian:sufficiency,
33424  author        = {O. L. Mangasarian},
33425  title         = {Sufficiency of Exact Penalty Minimization},
33426  journal       = {SIAM Journal on Control and Optimization},
33427  year          = {1985},
33428  month         = jan,
33429  volume        = {23},
33430  pages         = {30--37}
33431}
33432
33433@Article{         mangasarian:unconstrained,
33434  author        = {O. L. Mangasarian},
33435  title         = {Unconstrained {L}agrangians in Nonlinear Programming},
33436  journal       = {SIAM Journal on Control and Optimization},
33437  year          = {1975},
33438  volume        = {13},
33439  pages         = {772--791}
33440}
33441
33442@Book{            manne.richels:buying,
33443  author        = {A. S. Manne and R. G. Richels},
33444  title         = {Buying Greenhouse Insurance: The Economics of Carbon Dioxide Emission Limits},
33445  publisher     = {MIT Press},
33446  year          = {1992},
33447  address       = {Cambridge MA}
33448}
33449
33450@Article{         manne.richels:global,
33451  author        = {A. S. Manne and R. G. Richels},
33452  title         = {Global {CO2} Emission Reductions - the Impacts of Rising Energy Costs},
33453  journal       = {The Energy Journal},
33454  year          = {1991},
33455  volume        = {12},
33456  pages         = {87--107}
33457}
33458
33459@Article{         manne.richels:international,
33460  author        = {A. S. Manne and R. G. Richels},
33461  title         = {International Trade in Carbon Emission Rights: {A} Decomposition Procedure},
33462  journal       = {Economic Review},
33463  year          = {1991},
33464  volume        = {81},
33465  pages         = {135--139}
33466}
33467
33468@Article{         manne.rutherford:international,
33469  author        = {A. S. Manne and T. F. Rutherford},
33470  title         = {International Trade in Oil, Gas and Carbon Emission Rights: An Intertemporal
33471                  General Equilibrium Model},
33472  journal       = {The Energy Journal},
33473  year          = {1993},
33474  volume        = {14},
33475  pages         = {1--20}
33476}
33477
33478@InCollection{    manne:eta-macro,
33479  author        = {A. S. Manne},
33480  title         = {{ETA}-{M}acro: {A} {M}odel of Energy-Economy Interactions},
33481  booktitle     = {Modeling Energy-Economy Interactions},
33482  year          = {1977},
33483  editor        = {C. J. Hitch},
33484  publisher     = {Resources for the Future},
33485  address       = {Washington DC}
33486}
33487
33488@PhDThesis{       maratos:exact,
33489  author        = {N. Maratos},
33490  title         = {Exact Penalty Function Algorithms for Finite Dimensional and Control Optimization
33491                  Problems},
33492  year          = {1978},
33493  school        = {Imperial College, University of London}
33494}
33495
33496@Article{         marcotte.dussault:note,
33497  author        = {P. Marcotte and J.--P. Dussault},
33498  title         = {A Note on a Globally Convergent {N}ewton Method for Solving Monotone Variational
33499                  Inequalities},
33500  journal       = {Operations Research Letters},
33501  year          = {1987},
33502  volume        = {6},
33503  pages         = {35--42}
33504}
33505
33506@Article{         marcotte.zhu:exact,
33507  author        = {P. Marcotte and D. L. Zhu},
33508  title         = {Exact and Inexact Penalty Methods for the Generalized Bilevel Programming
33509                  Problem},
33510  journal       = {Mathematical Programming},
33511  year          = {1996},
33512  volume        = {74},
33513  pages         = {141--158}
33514}
33515
33516@Article{         marcotte:algorithm,
33517  author        = {P. Marcotte},
33518  title         = {A New Algorithm for Solving Variational Inequalities with Application to the
33519                  Traffic Assignment Problem},
33520  journal       = {Mathematical Programming},
33521  year          = {1985},
33522  volume        = {33},
33523  pages         = {339--351}
33524}
33525
33526@Article{         marcotte:application,
33527  author        = {P. Marcotte},
33528  title         = {Application of {K}hobotov's Algorithm to Variational Inequalities and Network
33529                  Equilibrium Problems},
33530  journal       = {Information Systems and Operational Research},
33531  year          = {1991},
33532  volume        = {29},
33533  pages         = {258--270}
33534}
33535
33536@Article{         marcotte:network,
33537  author        = {P. Marcotte},
33538  title         = {Network Design Problem with Congestion Effects: {A} Case of Bilevel Programming},
33539  journal       = {Mathematical Programming},
33540  year          = {1986},
33541  volume        = {34},
33542  pages         = {142--162}
33543}
33544
33545@Article{         markusen.rutherford.ea:el,
33546  author        = {J. R. Markusen and T. F. Rutherford and L. Hunter},
33547  title         = {El libre comercio en {A}merica del {N}orte y la produccion de automoviles},
33548  journal       = {Cuadernos Economicos de Ice},
33549  year          = {1995},
33550  volume        = {59},
33551  pages         = {57--68}
33552}
33553
33554@Article{         markusen.rutherford.ea:trade,
33555  author        = {J. R. Markusen and T. F. Rutherford and L. Hunter},
33556  title         = {Trade liberalization in a multinational-dominated industry},
33557  journal       = {Journal of International Economics},
33558  year          = {1995},
33559  volume        = {38},
33560  pages         = {95--118}
33561}
33562
33563@Article{         markusen.rutherford:discrete,
33564  author        = {J. R. Markusen and T. F. Rutherford},
33565  title         = {Discrete plant-location decisions in an applied general equilibrium model of
33566                  trade liberalization},
33567  journal       = {Weltwirtshchaftliches Archiv},
33568  year          = {1994}
33569}
33570
33571@Article{         markusen.wigle:nash,
33572  author        = {J. Markusen and R. Wigle},
33573  title         = {Nash Equilibrium Tariffs for the {U}nited {S}tates and {C}anada: The Roles of
33574                  Country Size, Scale Economies and Capital Mobility},
33575  journal       = {Journal of Political Mobility},
33576  year          = {1989},
33577  volume        = {97},
33578  pages         = {368--386}
33579}
33580
33581@Article{         marquardt:algorithm,
33582  author        = {D. W. Marquardt},
33583  title         = {An Algorithm for Least--Squares Estimation of Nonlinear Parameters},
33584  journal       = {SIAM Journal on Applied Mathematics},
33585  year          = {1963},
33586  volume        = {11},
33587  pages         = {431--441}
33588}
33589
33590@Article{         martello.toth:algorithm,
33591  author        = {S. Martello and P. Toth},
33592  title         = {A New Algorithm for the 0--1 Knapsack Problem},
33593  journal       = {Management Science},
33594  year          = {1988},
33595  volume        = {34},
33596  pages         = {633--644}
33597}
33598
33599@InCollection{    martello.toth:algorithms,
33600  author        = {S. Martello and P. Toth},
33601  title         = {Algorithms for Knapsack Problems},
33602  booktitle     = {Surveys in Combinatorial Optimization},
33603  year          = {1987},
33604  editor        = {S. Martello and G. Laporte and M. Minoux and C. Ribeiro},
33605  publisher     = {Annals of Discrete Mathematics 31, North--Holland},
33606  address       = {Amsterdam}
33607}
33608
33609@Article{         martello.toth:mixture,
33610  author        = {S. Martello and P. Toth},
33611  title         = {A Mixture of Dynamic Programming and Branch--and--Bound for the Subset--Sum
33612                  Problem},
33613  journal       = {Management Science},
33614  year          = {1984},
33615  volume        = {30},
33616  pages         = {765--771}
33617}
33618
33619@Article{         martello.toth:worst-case,
33620  author        = {S. Martello and P. Toth},
33621  title         = {Worst--Case Analysis of Greedy Algorithms for the Subset Sum Problem},
33622  journal       = {Mathematical Programming},
33623  year          = {1984},
33624  volume        = {28},
33625  pages         = {198--205}
33626}
33627
33628@Article{         martinet:regularisation,
33629  author        = {Bernard Martinet},
33630  title         = {Regularisation d'Inequations Variationelles par Approximations Successives},
33631  journal       = {Revue Fran\c{c}aise d'Informatique et Recherche Operationelle},
33632  year          = {1970},
33633  volume        = {4},
33634  pages         = {154--159}
33635}
33636
33637@Article{         maskin.tirole:theory,
33638  author        = {E. Maskin and J. Tirole},
33639  title         = {A theory of Dynamic Oligopoly, {I}: Overview and quantity competition with large
33640                  fixed costs},
33641  journal       = {Econometrica},
33642  volume        = {56},
33643  year          = {1988},
33644  pages         = {549--569}
33645}
33646
33647@Article{         maskin.tirole:theory*1,
33648  author        = {E. Maskin and J. Tirole},
33649  title         = {A theory of Dynamic Oligopoly, {II}: Price competition, Kinked demand curves, and
33650                  Edgeworth cycles},
33651  journal       = {Econometrica},
33652  volume        = {56},
33653  year          = {1988},
33654  pages         = {571--579}
33655}
33656
33657@Article{         maskus.rutherford.ea:economic,
33658  author        = {K. Maskus and T. F. Rutherford and S. Selby},
33659  title         = {Economic Implications of Changes in Labor Standards: a Computational Analysis for
33660                  {M}exico},
33661  journal       = {North American Journal of Economics and Finance},
33662  year          = {1996}
33663}
33664
33665@Article{         mastor:experimental,
33666  author        = {A. A. Mastor},
33667  title         = {An Experimental Investigation and Comparative Evaluation of Production Line
33668                  Balancing Techniques},
33669  journal       = {Management Science},
33670  year          = {1970},
33671  volume        = {16},
33672  pages         = {728--746}
33673}
33674
33675@Article{         mathias.pang:error,
33676  author        = {R. Mathias and J. S. Pang},
33677  title         = {Error bounds for the linear complementarity problem with a {P}-matrix},
33678  journal       = {Linear Algebra and Its Applications},
33679  year          = {1990},
33680  volume        = {132},
33681  pages         = {123--136}
33682}
33683
33684@Article{         mathiesen:algorithm,
33685  author        = {L. Mathiesen},
33686  title         = {An Algorithm based on a Sequence of Linear Complementarity Problems applied to a
33687                  {W}alrasian Equilibrium Model: An Example},
33688  journal       = {Mathematical Programming},
33689  year          = {1987},
33690  volume        = {37},
33691  pages         = {1--18}
33692}
33693
33694@Article{         mathiesen:computation,
33695  author        = {L. Mathiesen},
33696  title         = {Computation of Economic Equilibria by a Sequence of Linear Complementarity
33697                  Problems},
33698  journal       = {Mathematical Programming Study},
33699  year          = {1985},
33700  volume        = {23},
33701  pages         = {144--162}
33702}
33703
33704@Article{         mathiesen:computational,
33705  author        = {L. Mathiesen},
33706  title         = {Computational Experience in Solving Equilibrium Models by a Sequence of Linear
33707                  Complementarity Problems},
33708  journal       = {Operations Research},
33709  year          = {1985},
33710  volume        = {33},
33711  pages         = {1225--1250}
33712}
33713
33714@Book{            matlab:users,
33715  author        = {{MATLAB}},
33716  title         = {User's Guide},
33717  year          = {1992},
33718  publisher     = {The MathWorks, Inc.}
33719}
33720
33721@Book{            mcclelland.rummelhart:explorations,
33722  author        = {J. L. McClelland and D. E. Rummelhart},
33723  title         = {Explorations in Parallel Distributed Processing: {A} Handbook of Models,
33724                  Programs, and Exercises},
33725  year          = {1987},
33726  publisher     = {MIT Press},
33727  address       = {Cambridge, Massachusetts}
33728}
33729
33730@Article{         mccormick:modification,
33731  author        = {G. P. McCormick},
33732  title         = {A Modification of {A}rmijo's Step--Size Rule for Negative Curvature},
33733  journal       = {Mathematical Programming},
33734  year          = {1977},
33735  volume        = {13},
33736  pages         = {111--115}
33737}
33738
33739@Book{            mccormick:nonlinear,
33740  author        = {G. P. McCormick},
33741  title         = {Nonlinear Programming: Theory, Algorithms and Applications},
33742  year          = {1983},
33743  publisher     = {John Wiley \& Sons},
33744  address       = {New York}
33745}
33746
33747@Article{         mcculloch.pitts:logical,
33748  author        = {W. McCulloch and W. Pitts},
33749  title         = {A Logical Calculus of the Ideas Immanent in Nervous Activity},
33750  journal       = {Bulletin of Mathematical Biophysics},
33751  year          = {1943},
33752  volume        = {7},
33753  pages         = {115--133}
33754}
33755
33756@TechReport{      mckenna.zenios:optimal,
33757  author        = {M. McKenna and S. A. Zenios},
33758  title         = {An Optimal Parallel Implementation of a Quadratic Transportation Algorithm},
33759  institution   = {Thinking Machines Corporation},
33760  year          = {1990},
33761  type          = {Working Paper},
33762  address       = {Cambridge, MA}
33763}
33764
33765@Article{         mckinnon:convergence,
33766  author        = {K. I. M. McKinnon},
33767  title         = {Convergence of the {N}elder-{M}ead Simplex Method to a Nonstationary Point},
33768  journal       = {SIAM Journal on Optimization},
33769  year          = {1998},
33770  volume        = {9},
33771  pages         = {148--158}
33772}
33773
33774@Article{         mcshane.monma.ea:implementation,
33775  author        = {K. A. McShane and C. L. Monma and D. F. Shanno},
33776  title         = {An implementation of a primal-dual interior point method for linear programming},
33777  journal       = {ORSA Journal of Computing},
33778  year          = {1989},
33779  volume        = {1},
33780  pages         = {70--83}
33781}
33782
33783@PhDThesis{       medhi:decomposition,
33784  author        = {D. Medhi},
33785  title         = {Decomposition of Structured Large--Scale Optimization Problems and Parallel
33786                  Optimization},
33787  school        = {Computer Sciences Department, University of Wisconsin},
33788  year          = {1987},
33789  address       = {Madison, Wisconsin},
33790  note          = {Technical Report 718}
33791}
33792
33793@Article{         medhi:parallel,
33794  author        = {D. Medhi},
33795  title         = {Parallel Bundle-Based Decomposition for Large-Scale Structured Mathematical
33796                  Programming Problems},
33797  journal       = {Annals of Operations Research},
33798  year          = {1990},
33799  volume        = {22},
33800  pages         = {101--127}
33801}
33802
33803@Article{         megiddo:complexity,
33804  author        = {N. Megiddo},
33805  title         = {On the complexity of polyhedral separability},
33806  journal       = {Discrete and Computational Geometry},
33807  year          = {1988},
33808  volume        = {3},
33809  pages         = {325--337}
33810}
33811
33812@Article{         megiddo:finding,
33813  author        = {N. Megiddo},
33814  title         = {On Finding Primal-- and Dual--Optimal Bases},
33815  journal       = {ORSA Journal on Computing},
33816  year          = {1991},
33817  volume        = {3},
33818  pages         = {63--65}
33819}
33820
33821@Article{         mehrotra:implementation,
33822  author        = {S. Mehrotra},
33823  title         = {On the implementation of a primal-dual interior point method},
33824  journal       = {SIAM Journal on Optimization},
33825  year          = {1992},
33826  volume        = {2},
33827  pages         = {575--601}
33828}
33829
33830@PhDThesis{       merrill:applications,
33831  author        = {O. H. Merrill},
33832  title         = {Application and Extensions of an Algorithm that Computes Fixed Points of Upper
33833                  Semicontinuous Point to Set Mappings},
33834  year          = {1972},
33835  school        = {University of Michigan}
33836}
33837
33838@Article{         merten.muller:variance,
33839  author        = {A. G. Merten and M. E. Muller},
33840  title         = {Variance Minimization in Single Machine Sequencing Problems},
33841  journal       = {Management Science},
33842  year          = {1972},
33843  volume        = {18},
33844  pages         = {518--528}
33845}
33846
33847@TechReport{      meyer:continuity,
33848  author        = {R. R. Meyer},
33849  title         = {Continuity Properties of Linear Programs},
33850  institution   = {Computer Sciences Department, University of Wisconsin},
33851  year          = {1979},
33852  address       = {Madison, Wisconsin},
33853  number        = {373}
33854}
33855
33856@Article{         miersemann.mittelmann:continuation,
33857  author        = {E. Miersemann and H. D. Mittelmann},
33858  title         = {Continuation for Parametrized Nonlinear Variational Inequalities},
33859  journal       = {Journal of Computational and Applied Mathematics},
33860  year          = {1989},
33861  volume        = {26},
33862  pages         = {23--34}
33863}
33864
33865@Article{         mifflin:semismooth,
33866  author        = {R. Mifflin},
33867  title         = {Semismooth and semiconvex functions in constrained optimization},
33868  journal       = {SIAM Journal on Control and Optimization},
33869  year          = {1977},
33870  volume        = {15},
33871  pages         = {957--972}
33872}
33873
33874@Article{         mifflin:stable,
33875  author        = {R. Mifflin},
33876  title         = {A Stable Method for Solving Certain Constrained Least Squares Problems},
33877  journal       = {Mathematical Programming},
33878  vol           = {16},
33879  pages         = {141--158},
33880  year          = {1979}
33881}
33882
33883@Book{            miller:survival,
33884  author        = {Jr. R. G. Miller},
33885  title         = {Survival Analysis},
33886  year          = {1981},
33887  publisher     = {John Wiley \& Sons},
33888  address       = {New York}
33889}
33890
33891@Book{            minsky.papert:perceptrons,
33892  author        = {M. Minsky and S. Papert},
33893  title         = {Perceptrons: An Introduction to Computational Geometry},
33894  year          = {1969},
33895  publisher     = {MIT Press},
33896  address       = {Cambridge, Massachusetts}
33897}
33898
33899@Article{         minty:monotone,
33900  author        = {G. J. Minty},
33901  title         = {Monotone (Nonlinear) Operators in {H}ilbert Space},
33902  journal       = {Duke Mathematics Journal},
33903  year          = {1962},
33904  volume        = {29},
33905  pages         = {341--346}
33906}
33907
33908@Article{         minty:monotonicity,
33909  author        = {G. J. Minty},
33910  title         = {On the Monotonicity of the Gradient of a Convex Function},
33911  journal       = {Pacific Journal of Mathematics},
33912  year          = {1964},
33913  volume        = {14},
33914  pages         = {243--247}
33915}
33916
33917@TechReport{      mizuno.jarre.ea:unified,
33918  author        = {S. Mizuno and F. Jarre and J. Stoer},
33919  title         = {A Unified approach to infeasible--interior--point algorithms via geometrical
33920                  linear complementarity problems},
33921  institution   = {Mathematische Institut der Universit{\"{a}}t W{\"{u}}rzburg},
33922  address       = {W{\"{u}}rzburg, Germany},
33923  year          = {1994},
33924  number        = {Nr. 213},
33925  type          = {Preprint}
33926}
33927
33928@TechReport{      mizuno:polynomiality,
33929  author        = {S. Mizuno},
33930  title         = {Polynomiality of {K}ojima-{M}egiddo-{M}izuno infeasible-interior-point algorithm
33931                  for linear programming},
33932  institution   = {School of Operations Research and Industrial Engineering, Cornell University},
33933  year          = {1993},
33934  number        = {1006},
33935  address       = {Ithaca, New York},
33936  month         = jan
33937}
33938
33939@Article{         mohan.mageras.ea:clinically,
33940  author        = {R. Mohan and G. S. Mageras and B. Baldwin and L. J. Brewster and G. J. Kutcher
33941                  and S. Leibel and C. M. Burman and C. C. Ling and Z. Fuks},
33942  title         = {Clinically Relevant Optimization of 3-{D} Conformal Treatments},
33943  journal       = {Medical Physics},
33944  year          = {1992},
33945  volume        = {19},
33946  number        = {4},
33947  pages         = {933--944}
33948}
33949
33950@Article{         mohan:field,
33951  author        = {R. Mohan},
33952  title         = {Field Shaping for Three-Dimensional Conformal Radiation Therapy and Multileaf
33953                  Collimation},
33954  journal       = {Seminars in Radiation Oncology},
33955  year          = {1995},
33956  volume        = {5},
33957  number        = {2},
33958  pages         = {86--99}
33959}
33960
33961@Article{         monteiro.pang.ea:positive,
33962  author        = {R. D. C. Monteiro and J. S. Pang and T. Wang},
33963  title         = {A Positive Algorithm for the Nonlinear Complementarity Problem},
33964  journal       = {SIAM Journal on Optimization},
33965  year          = {1995},
33966  volume        = {5},
33967  pages         = {129--148}
33968}
33969
33970@Article{         monteiro.tsuchiya:limiting,
33971  author        = {R. D. C. Monteiro and T. Tsuchiya},
33972  title         = {Limiting Behavior of the Derivatives of Certain Trajectories Associated with a
33973                  Monotone Horizontal Linear Complementarity Problem},
33974  year          = {1996},
33975  journal       = {Mathematics of Operations Research},
33976  pages         = {793--814},
33977  volume        = {21}
33978}
33979
33980@Article{         monteiro.wright:local,
33981  author        = {R. D. C. Monteiro and S. J. Wright},
33982  title         = {Local Convergence of Interior--Point Algorithms for Degenerate {LCP}},
33983  journal       = {Computational Optimization and Applications},
33984  year          = {1994},
33985  volume        = {3},
33986  pages         = {131--155}
33987}
33988
33989@Article{         monteiro.wright:superlinear,
33990  author        = {R. D. C. Monteiro and S. J. Wright},
33991  title         = {A Superlinear Infeasible-Interior-Point Affine Scaling Algorithm for {LCP}},
33992  year          = {1996},
33993  journal       = {SIAM Journal on Optimization},
33994  volume        = {6},
33995  pages         = {1--18}
33996}
33997
33998@Article{         monteiro.wright:superlinear*1,
33999  author        = {R. D. C. Monteiro and S. J. Wright},
34000  title         = {Superlinear Primal-Dual Affine Scaling Algorithms for {LCP}},
34001  journal       = {Mathematical Programming},
34002  year          = {1995},
34003  volume        = {69},
34004  pages         = {311--333}
34005}
34006
34007@Article{         more.garbow.ea:testing,
34008  author        = {J. J. Mor\'{e} and B. S. Garbow and K. E. Hillstrom},
34009  title         = {Testing Unconstrained Optimization Software},
34010  journal       = {ACM Transactions on Mathematical Software},
34011  year          = {1981},
34012  volume        = {7},
34013  pages         = {17--41}
34014}
34015
34016@Article{         more.rheinboldt:p,
34017  author        = {J. J. Mor\'{e} and W. C. Rheinboldt},
34018  title         = {On {P}-- and {S}--functions and Related Classes of {N}--Dimensional Nonlinear
34019                  Mappings},
34020  journal       = {Linear Algebra and Its Applications},
34021  year          = {1973},
34022  volume        = {6},
34023  pages         = {45--68}
34024}
34025
34026@Article{         more.sorensen:use,
34027  author        = {J. J. Mor\'{e} and D. C. Sorensen},
34028  title         = {On the use of Directions of Negative Curvature in a Modified {N}ewton Method},
34029  journal       = {Mathematical Programming},
34030  year          = {1979},
34031  volume        = {16},
34032  pages         = {1--20}
34033}
34034
34035@Article{         more.sorensen:computing,
34036  author        = {J. J. Mor\'{e} and D. C. Sorensen},
34037  title         = {Computing a Trust Region Step},
34038  journal       = {SIAM Journal on Scientific and Statistical Computing},
34039  year          = {1983},
34040  volume        = {4},
34041  pages         = {553--572}
34042}
34043
34044@Article{         more.toraldo:solution,
34045  author        = {J. J. Mor\'e and G. Toraldo},
34046  title         = {On the Solution of Large Quadratic Programming Problems with Bound Constraints},
34047  journal       = {SIAM Journal on Optimization},
34048  year          = {1991},
34049  volume        = {1},
34050  pages         = {93--113}
34051}
34052
34053@TechReport{      more.vavasis:solution,
34054  author        = {J. J. Mor\'{e} and S. A. Vavasis},
34055  title         = {On the Solution of Concave Knapsack Problems},
34056  institution   = {Argonne National Laboratory},
34057  year          = {1988},
34058  address       = {Argonne, Illinois},
34059  number        = {ANL/MCS--P40--1288},
34060  type          = {Mathematics and Computer Science Division Report}
34061}
34062
34063@Book{            more.wright:optimization,
34064  author        = {J. J. Mor\'{e} and S. J. Wright},
34065  title         = {Optimization Software Guide},
34066  publisher     = {SIAM},
34067  address       = {Philadelphia, Pennsylvania},
34068  series        = {Frontiers in Applied Mathematics},
34069  number        = {14},
34070  year          = {1993}
34071}
34072
34073@TechReport{      more.wu:global,
34074  author        = {J. J. Mor\'{e} and Z. Wu},
34075  title         = {Global Continuation for Distance Geometry Problems},
34076  institution   = {Argonne National Laboratory},
34077  year          = {1995},
34078  type          = {Preprint},
34079  number        = {MCS-P505-0395},
34080  address       = {Argonne, Illinois}
34081}
34082
34083@TechReport{      more.wu:issues,
34084  author        = {J. J. Mor\'{e} and Z. Wu},
34085  title         = {Issues in Large-Scale Global Molecular Optimization},
34086  institution   = {Argonne National Laboratory},
34087  year          = {1995},
34088  type          = {Preprint},
34089  number        = {MCS-P539-1095},
34090  address       = {Argonne, Illinois}
34091}
34092
34093@TechReport{      more:collection,
34094  author        = {J. J. Mor\'e},
34095  title         = {A Collection of Nonlinear Model Problems},
34096  institution   = {Argonne National Laboratory},
34097  year          = {1989},
34098  type          = {Preprint},
34099  address       = {Argonne, Illinois},
34100  number        = {MCS-P60-0289}
34101}
34102
34103@Article{         more:global,
34104  author        = {J. J. Mor\'e},
34105  title         = {Global Methods for Nonlinear Complementarity Problems},
34106  year          = {1996},
34107  journal       = {Mathematics of Operations Research},
34108  pages         = {589--614},
34109  volume        = {21}
34110}
34111
34112@Article{         moreau:proximite,
34113  author        = {J.--J. Moreau},
34114  title         = {Proximit\'{e} et Dualit\'{e} dans un Espace {H}ilbertien},
34115  journal       = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de France},
34116  year          = {1965},
34117  volume        = {93},
34118  pages         = {273--299}
34119}
34120
34121@Article{         morrill.lane.ea:dose-volume,
34122  author        = {S. Morrill and R. Lane and J. Wong and I. Rosen},
34123  title         = {Dose-volume considerations with linear programming},
34124  journal       = {Medical Physics},
34125  year          = {1991},
34126  volume        = {18},
34127  number        = {6},
34128  pages         = {1201--1210}
34129}
34130
34131@Article{         morrill:very,
34132  author        = {S. M. Morrill and K. S. Lam and R. G. Lane and M. Langer and I. I. Rosen},
34133  title         = {Very Fast Simulated Annealing in Radiation Therapy Treatment Plan Optimization},
34134  journal       = {International Journal of Radiation Oncology, Biology and Physics},
34135  year          = {1995},
34136  volume        = {31},
34137  pages         = {179--188}
34138}
34139
34140@TechReport{      morshedi.tapia:karmarkar,
34141  author        = {A. M. Morshedi and R. A. Tapia},
34142  title         = {Karmarkar as a Classical Method},
34143  institution   = {Department of Mathematical Sciences, Rice University},
34144  year          = {1987},
34145  number        = {87--7},
34146  type          = {Technical Report}
34147}
34148
34149@Article{         mosco:dual,
34150  author        = {U. Mosco},
34151  title         = {Dual Variational Inequalities},
34152  journal       = {Journal of Mathematical Analysis and its Applications},
34153  year          = {1972},
34154  volume        = {40},
34155  pages         = {202--206}
34156}
34157
34158@Article{         motzkin.schoenberg:relaxation,
34159  author        = {T. S. Motzkin and I. J. Schoenberg},
34160  title         = {The relaxation method for linear inequalities},
34161  journal       = {Canadian Journal of Mathematics},
34162  year          = {1954},
34163  volume        = {6},
34164  pages         = {393--404}
34165}
34166
34167@InProceedings{   muhlenbein:parallel,
34168  crossref      = {schaeffer:third},
34169  author        = {H. M{\"{}u}hlenbein},
34170  title         = {Parallel Genetic Algorithms, Population Genetics and Combinatorial Optimization},
34171  pages         = {416--421}
34172}
34173
34174@Article{         mukhopadhyay.roy.ea:polynomial,
34175  author        = {S. Mukhopadhyay and A. Roy and S. Govil},
34176  title         = {A polynomial time algorithm for generating neural networks for pattern
34177                  classification: Its stability properties and some test results},
34178  journal       = {Neural Computation},
34179  year          = {1993},
34180  volume        = {5},
34181  pages         = {317--330}
34182}
34183
34184@Article{         mulvey.ruszczynski:diagonal,
34185  author        = {J. M. Mulvey and A. Ruszczynski},
34186  title         = {A Diagonal Quadratic Approximation Methods for Large Scale Linear Programs},
34187  journal       = {Operations Research Letters},
34188  year          = {1992},
34189  volume        = {12},
34190  pages         = {205--215}
34191}
34192
34193@TechReport{      mulvey.ruszczynski:scenario,
34194  author        = {J. M. Mulvey and A. Ruszczynski},
34195  title         = {A New Scenario Decomposition Method for Large--Scale Stochastic Optimization},
34196  institution   = {Department of Civil Engineering and Operations Research, Princeton University},
34197  year          = {1991},
34198  address       = {Princeton, New Jersey},
34199  number        = {SOR 91-19},
34200  type          = {Technical Report}
34201}
34202
34203@PhDThesis{       munson:algorithms,
34204  author        = {T. S. Munson},
34205  title         = {Algorithms and Environments for Complementarity},
34206  school        = {University of Wisconsin--Madison},
34207  year          = {2000},
34208  address       = {Madison, Wisconsin},
34209  month         = aug,
34210  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/00-02.ps}
34211}
34212
34213@Article{         munson.facchinei.ea:semismooth,
34214  author        = {T. S. Munson and F. Facchinei and M. C. Ferris and A. Fischer and C. Kanzow},
34215  title         = {The Semismooth Algorithm for Large Scale Complementarity Problems},
34216  journal       = {INFORMS Journal on Computing},
34217  year          = {2001},
34218  volume        = {forthcoming}
34219}
34220
34221@Article{         murchland:braess,
34222  author        = {J. D. Murchland},
34223  title         = {Braess' Paradox of Traffic Flow},
34224  journal       = {Transportation Research},
34225  year          = {1970},
34226  volume        = {4},
34227  pages         = {391--394}
34228}
34229
34230@Unpublished{     murphy.aha:uci,
34231  author        = {P. M. Murphy and D. W. Aha},
34232  title         = {{UCI} Repository of Machine Learning Databases},
34233  year          = {1992},
34234  note          = {Department of Information and Computer Science, University of California, Irvine,
34235                  California, http://www.ics.uci.edu/AI/ML/MLDBRepository.html}
34236}
34237
34238@Book{            murphy.lawrence.ea:american,
34239  editor        = {G. P. Murphy and W. L. Lawrence and R. E. Lenhard},
34240  title         = {American Cancer Society Textbook of Clinical Oncology},
34241  publisher     = {The American Cancer Society, Inc.},
34242  address       = {Atlanta, Georgia},
34243  year          = {1995}
34244}
34245
34246@Article{         murphy.sherali.ea:mathematical,
34247  author        = {Frederic H. Murphy and Hanif D. Sherali and Allen L. Soyster},
34248  title         = {A Mathematical Programming Approach for Determining Oligopolistic Market
34249                  Equilibrium},
34250  journal       = {Mathematical Programming},
34251  year          = {1982},
34252  volume        = {24},
34253  pages         = {92--106}
34254}
34255
34256@TechReport{      murtagh.saunders:minos,
34257  author        = {B. A. Murtagh and M. A. Saunders},
34258  title         = {{MINOS} 5.0 User's Guide},
34259  institution   = {Stanford University},
34260  address       = {Stanford, California},
34261  year          = {1983},
34262  number        = {{SOL} 83.20},
34263  type          = {Technical Report}
34264}
34265
34266@InProceedings{   murthy.kasif.ea:oc1,
34267  author        = {S. Murthy and S. Kasif and S. Salzberg and R. Beigel},
34268  title         = {{OC1}: Randomized Induction of Oblique Decision Trees},
34269  booktitle     = {Proceedings of the Eleventh National Conference on Artificial Intelligence},
34270  year          = {1993},
34271  publisher     = {The AAAI Press/The MIT Press},
34272  address       = {Cambridge, MA 02142},
34273  pages         = {322--327}
34274}
34275
34276@Book{            murty:linear,
34277  author        = {K. G. Murty},
34278  title         = {Linear Complementarity, Linear and Nonlinear Programming},
34279  year          = {1988},
34280  publisher     = {Helderman-Verlag},
34281  address       = {Berlin}
34282}
34283
34284@Book{            murty:linear*1,
34285  author        = {K. G. Murty},
34286  title         = {Linear Programming},
34287  year          = {1983},
34288  publisher     = {John Wiley \& Sons},
34289  address       = {New York}
34290}
34291
34292@Article{         murty:number,
34293  author        = {K. G. Murty},
34294  title         = {On the number of solutions of the complementarity problem and spanning properties
34295                  of cones},
34296  journal       = {Linear Algebra and Its Applications},
34297  year          = {1972},
34298  volume        = {5},
34299  pages         = {65--108}
34300}
34301
34302@Book{            murty:linear*2,
34303  author        = {K. G. Murty},
34304  title         = {Linear and Combinatorial Programming},
34305  year          = {1976},
34306  publisher     = {John Wiley \& Sons},
34307  address       = {New York}
34308}
34309
34310@Book{            nagurney:network,
34311  author        = {A. Nagurney},
34312  title         = {Network Economics -- {A} Variational Inequality Approach},
34313  publisher     = {Kluwer Academic Publishers},
34314  year          = {1993},
34315  address       = {Dordrecht, The Netherlands}
34316}
34317
34318@Article{         nash.nocedal:numerical,
34319  author        = {S. G. Nash and J. Nocedal},
34320  title         = {A Numerical Study of the Limited Memory {BFGS} Method and the Truncated-{N}ewton
34321                  Method for Large Scale Optimization},
34322  journal       = {SIAM Journal on Optimization},
34323  year          = {1991},
34324  volume        = {3},
34325  pages         = {358--372}
34326}
34327
34328@Article{         nash:equilibrium,
34329  author        = {J. F. Nash},
34330  title         = {Equilibrium Points in {N}--Person Games},
34331  journal       = {Proceedings of the National Academy of Sciences},
34332  year          = {1950},
34333  volume        = {36},
34334  pages         = {48--49}
34335}
34336
34337@Article{         nash:non-cooperative,
34338  author        = {J. F. Nash},
34339  title         = {Non-cooperative games},
34340  journal       = {Annals of Mathematics},
34341  year          = {1951},
34342  volume        = {54},
34343  pages         = {286--295}
34344}
34345
34346@Article{         nash:newton-type,
34347  author        = {S. G. Nash},
34348  title         = {{N}ewton--Type Minimization via {L}anczos Method},
34349  journal       = {SIAM Journal on Numerical Analysis},
34350  year          = {1984},
34351  volume        = {21},
34352  pages         = {770--788}
34353}
34354
34355@Article{         nauss:efficient,
34356  author        = {R. M. Nauss},
34357  title         = {An Efficient Algorithm for the 0--1 Knapsack Problem},
34358  journal       = {Management Science},
34359  year          = {1976},
34360  volume        = {23},
34361  pages         = {27--31}
34362}
34363
34364@Book{            nazareth:computer,
34365  author        = {J. L. Nazareth},
34366  title         = {Computer Solution of Linear Programs},
34367  year          = {1987},
34368  publisher     = {Oxford University Press},
34369  address       = {Oxford}
34370}
34371
34372@Article{         nelder.mead:simplex,
34373  title         = {A Simplex Method for Function Minimization},
34374  author        = {J. A. Nelder and R. Mead},
34375  journal       = {Computer Journal},
34376  volume        = {7},
34377  pages         = {308--313},
34378  year          = {1965}
34379}
34380
34381@Article{         nemhauser.savelsbergh.ea:minto,
34382  author        = {G. L. Nemhauser and M. W. P. Savelsbergh and G. S. Sigismondi},
34383  title         = {{MINTO}, {A} Mixed Integer Optimizer},
34384  journal       = {Operations Research Letters},
34385  year          = {1994},
34386  optkey        = {},
34387  optvolume     = {15},
34388  optnumber     = {},
34389  optpages      = {47--58},
34390  optmonth      = {},
34391  optnote       = {},
34392  optannote     = {}
34393}
34394
34395@Book{            nemhauser.wolsey:integer,
34396  author        = {G. L. Nemhauser and L. A. Wolsey},
34397  title         = {Integer and Combinatorial Optimization},
34398  publisher     = {John Wiley \& Sons},
34399  year          = {1988},
34400  address       = {New York, NY}
34401}
34402
34403@Article{         nestor.pasurka:alternative,
34404  author        = {D. Vaughn Nestor and C. Pasurka},
34405  title         = {Alternative Specifications for Environmental Control Costs in a General
34406                  Equilibrium Framework},
34407  journal       = {Economics Letters},
34408  year          = {1995},
34409  volume        = {48},
34410  pages         = {273--280}
34411}
34412
34413@Article{         nestor.pasurka:cge,
34414  author        = {D. Vaughn Nestor and C. Pasurka},
34415  title         = {{CGE} Model of Pollution Abatement Processes for Assessing the Economic Effects
34416                  of Environmental Policy},
34417  journal       = {Economic Modelling},
34418  year          = {1995},
34419  volume        = {12},
34420  pages         = {53--59}
34421}
34422
34423@Article{         newman.shapiro:theorems,
34424  author        = {D. J. Newman and H. S. Shapiro},
34425  title         = {Some Theorems on \v{C}eby\v{s}ev Approximation},
34426  journal       = {Duke Mathematical Journal},
34427  year          = {1963},
34428  volume        = {30},
34429  pages         = {673--682}
34430}
34431
34432@Article{         ng.peyton:block,
34433  author        = {E. Ng and B. Peyton},
34434  title         = {Block Sparse Cholesky Algorithms on Advanced Uniprocessor Computers},
34435  journal       = {SIAM Journal on Scientific and Statistical Computing},
34436  year          = {1993},
34437  volume        = {14},
34438  pages         = {1034--1056}
34439}
34440
34441@TechReport{      nielsen.zenios:solving,
34442  author        = {S. S. Nielsen and S. A. Zenios},
34443  title         = {Solving Linear Stochastic Network Programs using Massively Parallel Proximal
34444                  Algorithms},
34445  institution   = {Decision Sciences Department, The Wharton School, University of Pennsylvania},
34446  year          = {1992},
34447  address       = {Philadelphia},
34448  number        = {92-01-05}
34449}
34450
34451@Article{         niemierko:optimization,
34452  author        = {A. Niemierko},
34453  title         = {Optimization of 3{D} Radiation Therapy With Both Physical and Biological End
34454                  Points and Constraints},
34455  journal       = {International Journal of Radiation Oncology, Biology and Physics},
34456  year          = {1992},
34457  volume        = {23},
34458  pages         = {99--108}
34459}
34460
34461@InCollection{    niemierko:treatment,
34462  author        = {A. Niemierko},
34463  title         = {Treatment Plan Optimization},
34464  booktitle     = {3-D Radiation Treatment Planning and Conformal Therapy},
34465  editor        = {J. A. Purdy and B. Emami},
34466  publisher     = {Medical Physics Publishing},
34467  year          = {1993},
34468  pages         = {49--55},
34469  address       = {St. Louis, Missouri}
34470}
34471
34472@Article{         niemireko:optimization,
34473  author        = {A. Niemierko},
34474  title         = {Optimization of intensity modulated beams: Local or global optimum?},
34475  journal       = {Medical Physics},
34476  year          = {1996},
34477  optvolume     = {23},
34478  optpages      = {1072}
34479}
34480
34481@Manual{          nih:radiation,
34482  title         = {Radiation Therapy and You - {A} Guide to Self-Help During Treatment},
34483  author        = {N. C. I. National Institutes of Health},
34484  organization  = {NIH Publication},
34485  address       = {Bethesda, Maryland},
34486  edition       = {97-2227},
34487  year          = {1997}
34488}
34489
34490@Book{            nilsson:learning,
34491  author        = {N. J. Nilsson},
34492  title         = {Learning Machines},
34493  year          = {1966},
34494  publisher     = {MIT Press},
34495  address       = {Cambridge, Massachusetts}
34496}
34497
34498@Article{         nocedal:theory,
34499  author        = {J. Nocedal},
34500  title         = {Theory of Algorithms for Unconstrained Optimization},
34501  journal       = {Acta Numerica},
34502  year          = {1992},
34503  pages         = {199--242}
34504}
34505
34506@InProceedings{   noyes:neural,
34507  author        = {J. L. Noyes},
34508  title         = {Neural Network Optimization Methods},
34509  booktitle     = {Proceedings of the Fourth Conference on Neural Networks and Parallel Distributed
34510                  Processing},
34511  year          = {1991},
34512  publisher     = {Indiana-Purdue University},
34513  address       = {Fort Wayne, Indiana},
34514  pages         = {1--12}
34515}
34516
34517@Article{         nygard.juell.ea:neural,
34518  author        = {K. E. Nygard and P. Juell and N. Kadaba},
34519  title         = {Neural Networks for Selecting Vehicle Routing Heuristics},
34520  journal       = {ORSA Journal on Computing},
34521  year          = {1990},
34522  volume        = {4},
34523  pages         = {353--364}
34524}
34525
34526@Article{         oh.goenka:elastohydrodynamic,
34527  author        = {K. P. Oh and P. K. Goenka},
34528  title         = {The Elastohydrodynamic Solution of Journal Bearings under Dynamic Loading},
34529  journal       = {Transactions of the {ASME}, Journal of Tribology},
34530  volume        = {107},
34531  year          = {1985},
34532  pages         = {389--395}
34533}
34534
34535@Article{         oh.li.ea:elastohydrodynamic,
34536  author        = {K. P. Oh and C. H. Li and P. K. Goenka},
34537  title         = {Elastohydrodynamic Lubrication of Piston Skirts},
34538  journal       = {Transactions of the {ASME}, Journal of Tribology},
34539  volume        = {109},
34540  pages         = {356--362},
34541  year          = {1987}
34542}
34543
34544@Article{         oh:analysis,
34545  author        = {K. P. Oh},
34546  title         = {Analysis of a Needle Bearing},
34547  journal       = {Transactions of the {ASME}, Journal of Tribology},
34548  volume        = {106},
34549  pages         = {78--87},
34550  year          = {1984}
34551}
34552
34553@Article{         oh:formulation,
34554  author        = {K. P. Oh},
34555  title         = {The Formulation of the Mixed Lubrication Problem as a Generalized Nonlinear
34556                  Complementarity Problem},
34557  journal       = {Transactions of the {ASME}, Journal of Tribology},
34558  volume        = {108},
34559  year          = {1986},
34560  pages         = {598--604}
34561}
34562
34563@Article{         oh:numerical,
34564  author        = {K. P. Oh},
34565  title         = {The Numerical Solution of Dynamically Loaded Elastohydrodynamic Contact as a
34566                  Nonlinear Complementarity Problem},
34567  journal       = {Transactions of the {ASME}, Journal of Tribology},
34568  volume        = {106},
34569  year          = {1984},
34570  pages         = {88--95}
34571}
34572
34573@Article{         olivera.shepard.ea:maximum,
34574  author        = {G. H. Olivera and D. M. Shepard and P. J. Reckwerdt and K. Ruchala and J. Zachman
34575                  and E. E. Fitchard and T. R. Mackie},
34576  title         = {Maximum Likelihood as a Common Computational Framework in Tomotherapy},
34577  journal       = {Physics in Medicine and Biology},
34578  year          = {1998},
34579  pages         = {3277--3294}
34580}
34581
34582@Article{         opial:weak,
34583  author        = {Z. Opial},
34584  title         = {Weak Convergence of the Sequence of Successive Approximations for Nonexpansive
34585                  Mappings},
34586  journal       = {Bulletin of the American Mathematical Society},
34587  year          = {1967},
34588  volume        = {73},
34589  pages         = {591--597}
34590}
34591
34592@Book{            orchard-hays:advanced,
34593  author        = {W. Orchard--Hays},
34594  title         = {Advanced Linear Programming Computing Techniques},
34595  year          = {1968},
34596  publisher     = {McGraw--Hill},
34597  address       = {New York}
34598}
34599
34600@Article{         orourke.taylor.ea:factor,
34601  author        = {K. O'Rourke and A. M. Taylor and J. G. Williamson},
34602  title         = {Factor price convergence in the late nineteenth century},
34603  journal       = {International Economic Review},
34604  year          = {1996}
34605}
34606
34607@Article{         orourke.williamson:open,
34608  author        = {K. O'Rourke and J. G. Williamson},
34609  title         = {Open economy forces and late 19th century {S}wedish catch-up: a quantitative
34610                  accounting},
34611  journal       = {Scandinavian Economic and Social History},
34612  year          = {1995},
34613  volume        = {XLIII},
34614  pages         = {171--203}
34615}
34616
34617@Article{         orourke:costs,
34618  author        = {K. O'Rourke},
34619  title         = {The costs of international economic disintegration: {I}reland in the 1930's},
34620  journal       = {Research in Economic History},
34621  year          = {1995},
34622  volume        = {15},
34623  pages         = {215--259}
34624}
34625
34626@Article{         orourke:industrial,
34627  author        = {K. O'Rourke},
34628  title         = {Industrial policy, employment policy and the non-traded sector},
34629  journal       = {Journal of the Statistical and Social Inquiry Society of Ireland},
34630  year          = {1996}
34631}
34632
34633@Article{         orourke:measuring,
34634  author        = {K. O'Rourke},
34635  title         = {Measuring protection: a cautionary tale},
34636  journal       = {Journal of Development Economics},
34637  year          = {1996}
34638}
34639
34640@Book{            ortega.rheinboldt:iterative,
34641  author        = {J. M. Ortega and W. C. Rheinboldt},
34642  title         = {Iterative Solution of Nonlinear Equations in Several Variables},
34643  year          = {1970},
34644  publisher     = {Academic Press},
34645  address       = {San Diego, California}
34646}
34647
34648@Book{            ortega:introduction,
34649  author        = {J. M. Ortega},
34650  title         = {Introduction to Parallel and Vector Solution of Linear Systems},
34651  year          = {1988},
34652  publisher     = {Plenum Press},
34653  address       = {New York}
34654}
34655
34656@Book{            ortega:numerical,
34657  author        = {J. M. Ortega},
34658  title         = {Numerical Analysis, {A} Second Course},
34659  year          = {1972},
34660  publisher     = {Academic Press}
34661}
34662
34663@Article{         osborne.womersley:strong,
34664  author        = {M. R. Osborne and R. S. Womersley},
34665  title         = {Strong uniqueness in sequential linear programming},
34666  journal       = {Journal of the Australian Mathematical Society, Series B},
34667  year          = {1990},
34668  volume        = {31},
34669  pages         = {379--384}
34670}
34671
34672@InCollection{    osborne:strong,
34673  author        = {M. R. Osborne},
34674  title         = {Strong uniqueness in nonlinear approximation},
34675  booktitle     = {The numerical solution of nonlinear problems},
34676  year          = {1981},
34677  editor        = {C. T. H. Baker and C. Phillips},
34678  publisher     = {Clarendon Press},
34679  address       = {Oxford}
34680}
34681
34682@Book{            outrata.kocvara.ea:nonsmooth,
34683  author        = {J. Outrata and M. Ko\v{c}vara and J. Zowe},
34684  title         = {Nonsmooth Approach to Optimization Problems with Equilibrium Constraints},
34685  publisher     = {Kluwer Academic Publishers},
34686  year          = {1998},
34687  address       = {Dordrecht, The Netherlands}
34688}
34689
34690@Article{         outrata.zowe:numerical,
34691  author        = {J. V. Outrata and J. Zowe},
34692  title         = {A Numerical Approach to Optimization Problems with Variational Inequality
34693                  Constraints},
34694  journal       = {Mathematical Programming},
34695  year          = {1995},
34696  volume        = {68},
34697  pages         = {105--130}
34698}
34699
34700@Article{         outrata:necessary,
34701  author        = {J. V. Outrata},
34702  title         = {On Necessary Optimality Conditions for {S}tackelberg Problems},
34703  journal       = {Journal of Optimization Theory and Applications},
34704  volume        = {76},
34705  year          = {1993},
34706  pages         = {305--320}
34707}
34708
34709@Article{         outrata:numerical,
34710  author        = {J. V. Outrata},
34711  title         = {On the Numerical Solution of a Class of {S}tackelberg Problems},
34712  journal       = {Zeitschrift f{\"{u}}r Operations Research},
34713  volume        = {4},
34714  year          = {1990},
34715  pages         = {255--278}
34716}
34717
34718@Article{         outrata:optimization,
34719  author        = {J. V. Outrata},
34720  title         = {On Optimization Problems with Variational Inequality Constraints},
34721  journal       = {SIAM Journal on Optimization},
34722  volume        = {4},
34723  year          = {1994},
34724  pages         = {340--357}
34725}
34726
34727@Article{         paige.saunders:lsqr,
34728  author        = {C. C. Paige and M. A. Saunders},
34729  title         = {{LSQR}: An Algorithm for Sparse Linear Equations and Sparse Least Squares},
34730  journal       = {{ACM} Transactions on Mathematical Software},
34731  year          = {1982},
34732  volume        = {8},
34733  pages         = {43--71}
34734}
34735
34736@Article{         paige.saunders:solution,
34737  author        = {C. C. Paige and M. A. Saunders},
34738  title         = {Solution of Sparse Indefinite Systems of Linear Equations},
34739  journal       = {SIAM Journal on Numerical Analysis},
34740  year          = {1975},
34741  volume        = {12},
34742  pages         = {617--629}
34743}
34744
34745@Article{         palacios-gomez.lasdon.ea:nonlinear,
34746  author        = {F. Palacios--Gomez and L. Lasdon and M. Engquist},
34747  title         = {Nonlinear Optimization by Successive Linear Programming},
34748  journal       = {Management Science},
34749  year          = {1982},
34750  volume        = {28},
34751  pages         = {1106--1120}
34752}
34753
34754@Article{         palomares.mangasarian:superlinearly,
34755  author        = {U. M. Garcia Palomares and O. L. Mangasarian},
34756  title         = {Superlinearly Convergent {Q}uasi--{N}ewton Algorithms for Nonlinearly Constrained
34757                  Optimization Problems},
34758  journal       = {Mathematical Programming},
34759  year          = {1976},
34760  volume        = {11},
34761  pages         = {1--13}
34762}
34763
34764@Article{         panagiotopoulos.al-fahed:robot,
34765  author        = {P. D. Panagiotopoulos and A. M. Al-Fahed},
34766  title         = {Robot Hand Grasping and Related Problems: Optimal Contol and Identification},
34767  journal       = {The International Journal of Robotics Research},
34768  year          = {1994},
34769  volume        = {13},
34770  pages         = {127--136}
34771}
34772
34773@Book{            panagiotopoulos:hemivariational,
34774  author        = {P. D. Panagiotopoulos},
34775  title         = {Hemivariational Inequalities},
34776  publisher     = {Springer-Verlag},
34777  address       = {Berlin},
34778  year          = {1993}
34779}
34780
34781@Book{            panagiotopoulos:inequality,
34782  author        = {P. D. Panagiotopoulos},
34783  title         = {Inequality Problems in Mechanics and Applications},
34784  publisher     = {Birkh{\"{a}}user},
34785  address       = {Boston},
34786  year          = {1985}
34787}
34788
34789@Article{         pang.chan:iterative,
34790  author        = {J. S. Pang and D. Chan},
34791  title         = {Iterative Methods for Variational and Complementarity Problems},
34792  journal       = {Mathematical Programming},
34793  year          = {1982},
34794  volume        = {24},
34795  pages         = {284--313}
34796}
34797
34798@Article{         pang.gabriel:nesqp,
34799  author        = {J. S. Pang and S. A. Gabriel},
34800  title         = {{NE/SQP}: {A} Robust Algorithm for the Nonlinear Complementarity Problem},
34801  journal       = {Mathematical Programming},
34802  year          = {1993},
34803  volume        = {60},
34804  pages         = {295--338}
34805}
34806
34807@Article{         pang.han.ea:minimization,
34808  author        = {J. S. Pang and S.--P. Han and N. Rangaraj},
34809  title         = {Minimization of Locally {L}ipschitzian Functions},
34810  journal       = {SIAM Journal on Optimization},
34811  year          = {1991},
34812  volume        = {1},
34813  pages         = {57--82}
34814}
34815
34816@Article{         pang.qi:nonsmooth,
34817  author        = {J. S. Pang and L. Qi},
34818  title         = {Nonsmooth Equations: Motivation and Algorithms},
34819  journal       = {SIAM Journal on Optimization},
34820  year          = {1993},
34821  volume        = {3},
34822  pages         = {443--465}
34823}
34824
34825@Article{         pang.trinkle.ea:complementarity,
34826  author        = {J. S. Pang and J. C. Trinkle and G. Lo},
34827  title         = {A Complementarity Approach to a Quasistatic Multi-Rigid-Body Contact Problem},
34828  journal       = {Computational Optimization and Applications},
34829  volume        = {5},
34830  pages         = {97--138},
34831  year          = {1996}
34832}
34833
34834@Article{         pang.trinkle:complementarity,
34835  author        = {J. S. Pang and J. C. Trinkle},
34836  title         = {Complementarity Formulations and Existence of Solutions of Multi-Rigid-Body
34837                  Contact Problems with {C}oulomb Friction},
34838  year          = {1996},
34839  journal       = {Mathematical Programming},
34840  volume        = {73},
34841  pages         = {199--226}
34842}
34843
34844@TechReport{      pang.wang:embedding,
34845  author        = {J. S. Pang and Z. P. Wang},
34846  title         = {Embedding Methods for Variational Inequality and Nonlinear Complementarity
34847                  Problems},
34848  institution   = {Department of Mathematical Sciences, The Johns Hopkins University},
34849  year          = {1990},
34850  address       = {Baltimore, Maryland}
34851}
34852
34853@TechReport{      pang.yang:parallel,
34854  author        = {J. S. Pang and J. M. Yang},
34855  title         = {Parallel {N}ewton Methods for the Nonlinear Complementarity Problem},
34856  institution   = {Department of Mathematical Sciences, The Johns Hopkins University},
34857  year          = {1987},
34858  address       = {Baltimore, Maryland},
34859  type          = {Manuscript}
34860}
34861
34862@Article{         pang.yu:linearized,
34863  author        = {J. S. Pang and C. S. Yu},
34864  title         = {Linearized Simplicial Decomposition Methods for Computing Traffic Equilibria on
34865                  Networks},
34866  journal       = {Networks},
34867  volume        = {14},
34868  pages         = {427--438},
34869  year          = {1984}
34870}
34871
34872@Article{         pang:b-differentiable,
34873  author        = {J. S. Pang},
34874  title         = {A {B}--Differentiable Equation Based, Globally and Locally Quadratically
34875                  Convergent Algorithm for Nonlinear Programs, Complementarity and Variational
34876                  Inequality Problems},
34877  journal       = {Mathematical Programming},
34878  year          = {1991},
34879  volume        = {51},
34880  pages         = {101--132}
34881}
34882
34883@InCollection{    pang:complementarity,
34884  author        = {J. S. Pang},
34885  title         = {Complementarity Problems},
34886  booktitle     = {Handbook in Global Optimization},
34887  publisher     = {Kluwer Academic Publishers},
34888  year          = {1994},
34889  editor        = {R. Horst and P. Pardalos},
34890  address       = {Boston}
34891}
34892
34893@Article{         pang:convergence,
34894  author        = {J. S. Pang},
34895  title         = {On the Convergence of a Basic Iterative Method for the Implicit Complementarity
34896                  Problem},
34897  journal       = {Journal of Optimization Theory and Applications},
34898  year          = {1982},
34899  volume        = {37},
34900  pages         = {149--162}
34901}
34902
34903@Article{         pang:convergence*1,
34904  author        = {J. S. Pang},
34905  title         = {Convergence of Splitting and {N}ewton Methods for Complementarity Problems: An
34906                  Application of some Sensitivity Results},
34907  journal       = {Mathematical Programming},
34908  year          = {1993},
34909  volume        = {58},
34910  pages         = {149--160}
34911}
34912
34913@Article{         pang:inexact,
34914  author        = {J. S. Pang},
34915  title         = {Inexact {N}ewton Methods for the Nonlinear Complementarity Problem},
34916  journal       = {Mathematical Programming},
34917  year          = {1986},
34918  volume        = {36},
34919  pages         = {54--71}
34920}
34921
34922@Article{         pang:more,
34923  author        = {J. S. Pang},
34924  title         = {More Results on the Convergence of Iterative Methods for the Symmetric Linear
34925                  Complementarity Problem},
34926  journal       = {Journal of Optimization Theory and Applications},
34927  year          = {1986},
34928  volume        = {49},
34929  pages         = {107--134}
34930}
34931
34932@Article{         pang:more*1,
34933  author        = {J. S. Pang},
34934  title         = {More Results on the Convergence of Iterative Methods for Symmetric Linear
34935                  Complementarity Problems},
34936  journal       = {Journal of Optimization Theory and Applications},
34937  year          = {1986},
34938  volume        = {49},
34939  pages         = {107--134}
34940}
34941
34942@Article{         pang:necessary,
34943  author        = {J. S. Pang},
34944  title         = {Necessary and Sufficient Conditions for the Convergence of Iterative Methods for
34945                  the Linear Complementarity Problem},
34946  journal       = {Journal of Optimization Theory and Applications},
34947  year          = {1984},
34948  volume        = {42},
34949  pages         = {1--17}
34950}
34951
34952@Article{         pang:newtons,
34953  author        = {J. S. Pang},
34954  title         = {{N}ewton's Method for {B}--Differentiable Equations},
34955  journal       = {Mathematics of Operations Research},
34956  year          = {1990},
34957  volume        = {15},
34958  pages         = {311--341}
34959}
34960
34961@Article{         pang:posteriori,
34962  author        = {J. S. Pang},
34963  title         = {A Posteriori Error Bound for the Linearly--Constrained Variational Inequality
34964                  Problem},
34965  journal       = {Mathematics of Operations Research},
34966  year          = {1987},
34967  volume        = {12},
34968  pages         = {474--484}
34969}
34970
34971@Article{         pantoja.mayne:sequential,
34972  author        = {J. F. A. D. Pantoja and D. Q. Mayne},
34973  title         = {Sequential Quadratic Programming Algorithm for Discrete Optimal Control Problems
34974                  with Control Inequality Constraints},
34975  journal       = {International Journal on Control},
34976  year          = {1991},
34977  volume        = {53},
34978  pages         = {823--836}
34979}
34980
34981@Book{            papadimitriou.steiglitz:combinatorial,
34982  author        = {C. H. Papadimitriou and K. Steiglitz},
34983  title         = {Combinatorial Optimization: Algorithms and Complexity},
34984  year          = {1982},
34985  publisher     = {Prentice-Hall, Inc},
34986  address       = {Englewood Cliffs, New Jersey}
34987}
34988
34989@Article{         papanikolau.mackie.ea:investigation,
34990  author        = {N. Papanikolaou and T. R. Mackie and C. Meger-Wells and M. Gehring and P.
34991                  Reckwerdt},
34992  title         = {Investigation of the convolution method for polyenergetic spectra},
34993  journal       = {Medical Physics},
34994  year          = {1993},
34995  volume        = {20},
34996  number        = {5},
34997  pages         = {1327--1336}
34998}
34999
35000@Article{         parisot:resolution,
35001  author        = {G. R. Parisot},
35002  title         = {{R}\'{e}solution Num\'{e}rique Approach\'{e}e du Probl\`{e}me de Programmation
35003                  Lin\'{e}aire par Application de la Programmation Logarithmique},
35004  journal       = {Revue Fran\c{c}aise Recherche Op\'{e}rationnelle},
35005  year          = {1961},
35006  volume        = {20},
35007  pages         = {227--259}
35008}
35009
35010@Article{         parker.cave.ea:comparison,
35011  author        = {L. R. Parker and M. R. Cave and R. M. Barnes},
35012  title         = {Comparison of Simplex Algorithms},
35013  journal       = {Analytica Chimica Acta},
35014  year          = {1985},
35015  volume        = {175},
35016  pages         = {231--237}
35017}
35018
35019@InProceedings{   parker:optimal,
35020  author        = {D. Parker},
35021  title         = {Optimal Algorithms for Adaptive Networks: Second Order Direct Propagation, and
35022                  Second Order Hebbian Learning},
35023  booktitle     = {Proceedings of the IEEE First International Conference on Neural Networks: Volume
35024                  II},
35025  year          = {1987},
35026  address       = {San Diego:IEEE},
35027  pages         = {593--600}
35028}
35029
35030@Book{            pascali.sburlan:nonlinear,
35031  author        = {D. Pascali and S. Sburlan},
35032  title         = {Nonlinear Mappings of Monotone Type},
35033  publisher     = {Editura Academeie},
35034  year          = {1978}
35035}
35036
35037@Article{         passty:ergodic,
35038  author        = {G. B. Passty},
35039  title         = {Ergodic convergence to a zero of the sum of monotone operators in {H}ilbert
35040                  space},
35041  journal       = {Journal of Mathematical Analysis and Applications},
35042  year          = {1979},
35043  volume        = {72},
35044  pages         = {383--390}
35045}
35046
35047@Article{         peaceman.rachford:numerical,
35048  author        = {D. W. Peaceman and H. H. Rachford},
35049  title         = {The numerical solution of parabolic and elliptic differential equations},
35050  journal       = {SIAM Journal},
35051  year          = {1955},
35052  volume        = {3},
35053  pages         = {28--41}
35054}
35055
35056@Book{            peck.tiesberg:global,
35057  author        = {S. Peck and T. Tiesberg},
35058  title         = {Global Warming Uncertainties and the Value of Information: An Analysis Using
35059                  {CETA}},
35060  publisher     = {The Electric Power Institute},
35061  year          = {1992},
35062  address       = {Paolo Alto CA}
35063}
35064
35065@TechReport{      peng:convexity,
35066  author        = {J. -M. Peng},
35067  title         = {The Convexity of the Implicit {L}agrangian},
35068  institution   = {State Key Laboratory of Scientific and Engineering Computing, Academic Sinica},
35069  year          = {1995},
35070  type          = {Technical Report},
35071  address       = {Beijing}
35072}
35073
35074@Article{         peng:equivalence,
35075  author        = {J. -M. Peng},
35076  title         = {Equivalence of Variational Inequality Problems to Unconstrained Optimization},
35077  journal       = {Mathematical Programming},
35078  year          = {1997},
35079  volume        = {78},
35080  pages         = {347--356}
35081}
35082
35083@Article{         pennisi:taking,
35084  author        = {E. Pennisi},
35085  title         = {Taking a structured approach to understanding proteins},
35086  journal       = {Science},
35087  year          = {1998},
35088  volume        = {279},
35089  pages         = {978--979}
35090}
35091
35092@Article{         penot:regularity,
35093  author        = {J. P. Penot},
35094  title         = {On regularity conditions in mathematical programming},
35095  journal       = {Mathematical Programming Study},
35096  year          = {1982},
35097  volume        = {17},
35098  pages         = {28--66}
35099}
35100
35101@Book{            perez:principles,
35102  author        = {C. A. Perez and L. W. Brady},
35103  title         = {Principles and practice of radiotherapy},
35104  publisher     = {Lippincott-Raven},
35105  year          = {1998},
35106  address       = {Philadelphia},
35107  edition       = {3rd}
35108}
35109
35110@Article{         perroni.rutherford:international,
35111  author        = {C. Perroni and T. Rutherford},
35112  title         = {International Trade in Carbon Emission Rights and Basic Materials: General
35113                  Equilibrium Calculations for 2020},
35114  journal       = {Scandinavian Journal of Economics},
35115  year          = {1993}
35116}
35117
35118@Article{         perroni.rutherford:regular,
35119  author        = {C. Perroni and T. Rutherford},
35120  title         = {Regular Flexibility of Nested {CES} Functions},
35121  journal       = {European Economic Review},
35122  year          = {1995},
35123  volume        = {39},
35124  pages         = {335--343}
35125}
35126
35127@InCollection{    perroni.wigle:environmental,
35128  author        = {C. Perroni and R. M. Wigle},
35129  title         = {Environmental Policy Modeling},
35130  booktitle     = {Global Trade Analysis: Modeling and Applications},
35131  publisher     = {Cambridge University Press},
35132  year          = {1996},
35133  editor        = {T. Hertel}
35134}
35135
35136@Article{         peterson:review,
35137  author        = {D. W. Peterson},
35138  title         = {A Review of Constraint Qualifications in Finite--Dimensional Spaces},
35139  journal       = {SIAM Review},
35140  year          = {1973},
35141  volume        = {15},
35142  pages         = {639--654}
35143}
35144
35145@PhDThesis{       petersson:optimization,
35146  author        = {J. Petersson},
35147  title         = {Optimization of Structures in Unilateral Contact},
35148  type          = {{L}ink{\"o}ping Studies in Science and Technology, Dissertations},
35149  number        = {397},
35150  school        = {Division of Mechanics, Department of Mechanical Engineering, Link{\"o}ping
35151                  University},
35152  address       = {Link{\"o}ping, Sweden},
35153  year          = {1995}
35154}
35155
35156@Book{            petri:modelling,
35157  author        = {P. Petri},
35158  title         = {Modelling {J}apanese--{A}merican Trade, {A} Study of Asymmetric Interdependence},
35159  publisher     = {Harvard University Press},
35160  year          = {1984}
35161}
35162
35163@InProceedings{   petrzykowski:application,
35164  author        = {T. Petrzykowski},
35165  title         = {Application of the Steepest Ascent Method to Concave Programming},
35166  booktitle     = {Proceedings of the {IFIPS} Congress, Munich, 1962},
35167  year          = {1962},
35168  publisher     = {North--Holland},
35169  address       = {Amsterdam},
35170  pages         = {185--189}
35171}
35172
35173@InProceedings{   pettey.leuze.ea:parallel,
35174  crossref      = {grefenstette:genetic},
35175  author        = {C. C. Pettey and M. R. Leuze and J. J. Grefenstette},
35176  title         = {A Parallel Genetic Algorithm},
35177  pages         = {155--161}
35178}
35179
35180@InProceedings{   pettey.leuze:theoretical,
35181  crossref      = {schaeffer:third},
35182  author        = {C. C. Pettey and M. R. Leuze},
35183  title         = {A Theoretical Investigation of a Parallel Genetic Algorithm},
35184  pages         = {398--405}
35185}
35186
35187@Book{            pfeiffer.glocker:multibody,
35188  author        = {F. Pfeiffer and C. Glocker},
35189  title         = {Multibody Dynamics with Unilateral Contact},
35190  year          = {1996},
35191  publisher     = {John Wiley \& Sons}
35192}
35193
35194@TechReport{      pierro.iusem:convergence,
35195  author        = {A. R. de Pierro and A. N. Iusem},
35196  title         = {Convergence Properties of Iterative Methods for Symmetric Positive Semidefinite
35197                  Linear Complementarity Problems},
35198  institution   = {Instituto de Matematica, Elasticita e Ciencia da Computacao},
35199  year          = {1990},
35200  address       = {Universidade Estadual de Campinas, CP 6065, Campinas, 13081, SP, Brazil}
35201}
35202
35203@InCollection{    pillo.grippo.ea:class,
35204  author        = {G. Di Pillo and L. Grippo and F. Lampariello},
35205  title         = {A Class of Methods for the Solution of Optimization Problems with Inequalities},
35206  booktitle     = {System Modelling and Optimization},
35207  year          = {1981},
35208  editor        = {R. F. Drenick and F. Kozin},
35209  publisher     = {Springer-Verlag},
35210  address       = {Berlin}
35211}
35212
35213@Article{         pillo.grippo:augmented,
35214  author        = {G. Di Pillo and L. Grippo},
35215  title         = {An Augmented {L}agrangian for Inequality Constraints in Nonlinear Programming
35216                  Problems},
35217  journal       = {Journal of Optimization Theory and Applications},
35218  year          = {1982},
35219  volume        = {36},
35220  pages         = {495--519}
35221}
35222
35223@Article{         pillo.grippo:class,
35224  author        = {G. Di Pillo and L. Grippo},
35225  title         = {A New Class of Augmented {L}agrangians in Nonlinear Programming},
35226  journal       = {SIAM Journal on Control and Optimization},
35227  year          = {1979},
35228  volume        = {17},
35229  pages         = {618--628}
35230}
35231
35232@Article{         pillo.grippo:continuously,
35233  author        = {G. Di Pillo and L. Grippo},
35234  title         = {A Continuously Differentiable Exact Penalty Function for Nonlinear Programming
35235                  Problems with Inequality Constraints},
35236  journal       = {SIAM Journal on Control and Optimization},
35237  year          = {1985},
35238  volume        = {23},
35239  pages         = {72--84}
35240}
35241
35242@Article{         pillo.grippo:exact,
35243  author        = {G. Di Pillo and L. Grippo},
35244  title         = {An Exact Penalty Method with Global Convergence Properties for Nonlinear
35245                  Programming Problems},
35246  journal       = {Mathematical Programming},
35247  year          = {1986},
35248  volume        = {36},
35249  pages         = {1--18}
35250}
35251
35252@InProceedings{   plambeck.fu.ea:throughput,
35253  author        = {E. L. Plambeck and B. --R. Fu and S.M. Robinson and R. Suri},
35254  title         = {Throughput Optimization in Tandem Production Lines via Nonsmooth Programming},
35255  booktitle     = {Proceedings of the 1993 Summer Computer Simulation Conference},
35256  editor        = {J. Schoen},
35257  year          = {1993},
35258  publisher     = {Society for Computer Simulation},
35259  address       = {San Diego, CA},
35260  pages         = {70--75}
35261}
35262
35263@Article{         plambeck.fu.ea:sample-path,
35264  author        = {E. L. Plambeck and B. --R. Fu and S.M. Robinson and R. Suri},
35265  title         = {Sample-Path Optimization of Convex Stochastic Performance Functions},
35266  journal       = {Mathematical Programming},
35267  year          = {1996},
35268  volume        = {75},
35269  pages         = {137--176}
35270}
35271
35272@InProceedings{   platt:sequential,
35273  author        = {J. Platt},
35274  title         = {Sequential Minimal Optimization: A Fast Algorithm for Training Support Vector
35275                  Machines},
35276  editor        = {Bernhard {Sch\"olkopf} and Christopher J. C. Burges and Alexander J. Smola},
35277  booktitle     = {Advances in Kernel Methods {-} Support Vector Learning},
35278  publisher     = {MIT Press},
35279  pages         = {185-208},
35280  year          = {1999}
35281}
35282
35283@Book{            poincare:sur,
35284  author        = {H. Poincar\'{e}},
35285  title         = {Sur les Courbes {D}\'{e}fin\'{e}es par une \'{E}quation Differentielle {I}},
35286  year          = {1881},
35287  publisher     = {Oeuvres I},
35288  address       = {Gauthier--Villars, Paris}
35289}
35290
35291@Article{         polak.ribiere:note,
35292  author        = {E. Polak and G. Ribi\`{e}re},
35293  title         = {Note sur la convergence de m\'{e}thodes de directions conjug\'{e}es},
35294  journal       = {Revue Francaise Informatique et Recherche Op\'{e}rationelle},
35295  year          = {1969},
35296  volume        = {16-R1},
35297  pages         = {35--43}
35298}
35299
35300@Book{            polak:computational,
35301  author        = {E. Polak},
35302  title         = {Computational Methods in Optimization; {A} Unified Approach},
35303  year          = {1971},
35304  publisher     = {Academic Press},
35305  address       = {New York}
35306}
35307
35308@Article{         polak:global,
35309  author        = {E. Polak},
35310  title         = {On the Global Stabilization of Locally Convergent Algorithms},
35311  journal       = {Automatica},
35312  year          = {1976},
35313  volume        = {12},
35314  pages         = {337--349}
35315}
35316
35317@Article{         polyak.tretiyakov:concerning,
35318  author        = {B. T. Polyak and N. V. Tretiyakov},
35319  title         = {Concerning an Iterative Method for Linear Programming and its Economic
35320                  Interpretation},
35321  journal       = {Economics and Mathematical Methods},
35322  year          = {1972},
35323  volume        = {8},
35324  pages         = {740--751},
35325  note          = {(Russian)}
35326}
35327
35328@Article{         polyak.tretiyakov:method,
35329  author        = {B. T. Polyak and N. V. Tretiyakov},
35330  title         = {The Method of Penalty Estimates for Conditional Extremeum Problems},
35331  journal       = {U.S.S.R. Computational Mathematics and Mathematical Physics},
35332  year          = {1973},
35333  volume        = {13},
35334  pages         = {42--58}
35335}
35336
35337@Article{         polyak:conjugate,
35338  author        = {B. T. Polyak},
35339  title         = {The conjugate gradient method in extremal problems},
35340  journal       = {USSR Computational Mathematics and Mathematical Physics},
35341  year          = {1969},
35342  volume        = {9},
35343  pages         = {94--112},
35344  note          = {Translated from Russian}
35345}
35346
35347@Book{            polyak:introduction,
35348  author        = {B. T. Polyak},
35349  title         = {Introduction to Optimization},
35350  year          = {1987},
35351  publisher     = {Optimization Software, Inc.},
35352  address       = {Publications Division, New York}
35353}
35354
35355@Unpublished{     polyak:methods,
35356  author        = {R. A. Polyak},
35357  title         = {On the Methods of Centers},
35358  year          = {1988},
35359  note          = {Unpublished manuscript}
35360}
35361
35362@Unpublished{     polyak:sharp,
35363  author        = {B. T. Polyak},
35364  title         = {Sharp Minima},
35365  year          = {1979},
35366  note          = {A Talk given at the {IIASA} Workshop on Generalized {L}agrangians and their
35367                  Applications, {IIASA}, Laxenburg, Austria}
35368}
35369
35370@InProceedings{   polyak:smooth,
35371  author        = {R. A. Polyak},
35372  title         = {Smooth Optimization Methods for Solving Nonlinear Extremal and Equilibrium
35373                  Problems with Constraints},
35374  booktitle     = {Abstracts of the Papers of the 11th International Symposium on Mathematical
35375                  Programming},
35376  year          = {1982},
35377  address       = {Bonn}
35378}
35379
35380@Article{         polychronopoulos.tsitsiklis:analysis,
35381  author        = {G. H. Polychronopoulos and J. N. Tsitsiklis},
35382  title         = {Stochastic Shortest Path Problems with Recourse},
35383  journal       = {Networks},
35384  year          = {1996},
35385  volume        = {27},
35386  pages         = {133--143}
35387}
35388
35389@TechReport{      potra.bonnans:infeasible,
35390  author        = {F. A. Potra and J. F. Bonnans},
35391  title         = {Infeasible path following algorithms for linear complementarity problems},
35392  institution   = {INRIA},
35393  year          = {1994},
35394  month         = dec,
35395  number        = {RR--2445},
35396  type          = {Research Report}
35397}
35398
35399@Article{         potra.sheng:large-step,
35400  author        = {F. A. Potra and R. Sheng},
35401  title         = {A Large--Step Infeasible--Interior--Point Method for the ${P}_*$--Matrix {LCP}},
35402  year          = {1997},
35403  journal       = {SIAM Journal on Optimization},
35404  volume        = {7},
35405  pages         = {318--335}
35406}
35407
35408@Article{         potra:infeasible,
35409  author        = {F. A. Potra},
35410  title         = {An infeasible interior-point predictor-corrector algorithm for linear
35411                  programming},
35412  journal       = {SIAM Journal on Optimization},
35413  year          = {1996},
35414  volume        = {6},
35415  pages         = {19--32}
35416}
35417
35418@TechReport{      potra:onl,
35419  author        = {F. A. Potra},
35420  title         = {An ${O}(n{L})$ infeasible--interior--point algorithm for {LCP} with quadratic
35421                  convergence.},
35422  institution   = {Department of Mathematics, The University of Iowa},
35423  address       = {Iowa City, Iowa},
35424  year          = {1994},
35425  number        = {50},
35426  type          = {Reports on Computational Mathematics}
35427}
35428
35429@TechReport{      potra:predictor-corrector,
35430  author        = {F. A. Potra},
35431  title         = {On a predictor-corrector method for solving linear programs from infeasible
35432                  starting points},
35433  institution   = {Department of Mathematics, University of Iowa},
35434  address       = {Iowa City, Iowa},
35435  year          = {1992},
35436  number        = {34},
35437  type          = {Reports on Computational Mathematics}
35438}
35439
35440@TechReport{      potra:quadratically,
35441  author        = {F. A. Potra},
35442  title         = {A quadratically convergent infeasible interior-point algorithm for linear
35443                  programming},
35444  institution   = {Department of Mathematics, University of Iowa},
35445  year          = {1992},
35446  number        = {28},
35447  address       = {Iowa City, Iowa},
35448  month         = jul
35449}
35450
35451@InCollection{    powell:convergence,
35452  author        = {M. J. D. Powell},
35453  title         = {The Convergence of Variable Metric Methods for Nonlinearly Constrained
35454                  Optimization Calculations},
35455  crossref      = {mangasarian.meyer.ea:nonlinear*3},
35456  pages         = {27--63}
35457}
35458
35459@InProceedings{   powell:direct,
35460  author        = {M. J. D. Powell},
35461  title         = {A Direct Search Optimization Method that Models the Objective and Constraint
35462                  Functions by Linear Interpolation},
35463  booktitle     = {Advances in Optimization and Numerical Analysis, Proceedings of the Sixth
35464                  Workshop on Optimization and Numerical Analysis, Oaxaca, Mexico},
35465  volume        = {275},
35466  year          = {1994},
35467  publisher     = {Kluwer Academic Publishers},
35468  pages         = {51--67},
35469  address       = {Dordrecht, The Netherlands}
35470}
35471
35472@Article{         powell:efficient,
35473  author        = {M. J. D. Powell},
35474  title         = {An Efficient Method for Finding the Minimum of a Function of Several Variables
35475                  without Calculating Derivatives},
35476  journal       = {Computer Journal},
35477  year          = {1964},
35478  volume        = {17},
35479  pages         = {155--162}
35480}
35481
35482@InCollection{    powell:general,
35483  author        = {M. J. D. Powell},
35484  title         = {General Algorithm for Discrete Nonlinear Approximation Calculations},
35485  booktitle     = {Approximation Theory IV},
35486  year          = {1983},
35487  editor        = {L. L. Schumaker C. K. Chui and J. D. Ward},
35488  publisher     = {Academic Press},
35489  address       = {New York},
35490  pages         = {187--218}
35491}
35492
35493@InCollection{    powell:hybrid,
35494  author        = {M. J. D. Powell},
35495  title         = {A hybrid method for nonlinear equations},
35496  booktitle     = {Numerical Methods for Nonlinear Algebraic Equations},
35497  publisher     = {Gordon and Breach},
35498  year          = {1970},
35499  editor        = {P. Rabinowitz}
35500}
35501
35502@TechReport{      powell:karmarkars,
35503  author        = {M. J. D. Powell},
35504  title         = {{K}armarkar's algorithm: a view from nonlinear programming},
35505  institution   = {Department of Applied Mathematics and Theoretical Physics, University of
35506                  Cambridge},
35507  year          = {1989},
35508  month         = nov,
35509  address       = {Cambridge, CB3 9EW, England}
35510}
35511
35512@InCollection{    powell:method,
35513  author        = {M. J. D. Powell},
35514  title         = {A Method for Nonlinear Constraints in Minimization Problems},
35515  booktitle     = {Optimization},
35516  year          = {1969},
35517  editor        = {R. Fletcher},
35518  publisher     = {Academic Press},
35519  address       = {London},
35520  pages         = {283--298}
35521}
35522
35523@Book{            prekopa:stochastic,
35524  author        = {A. Pr{\'{e}}kopa},
35525  title         = {Stochastic Programming},
35526  publisher     = {Kluwer Academic Publishers},
35527  year          = {1995},
35528  address       = {Dordrecht, The Netherlands}
35529}
35530
35531@Book{            press.flannery.ea:numerical,
35532  author        = {William H. Press and Brian P. Flannery and Saul A. Teukolsky and William T.
35533                  Vetterling},
35534  title         = {Numerical Recipes : the Art of Scientific Computing},
35535  publisher     = {Cambridge University Press},
35536  year          = {1988}
35537}
35538
35539@Article{         pruyne.livny:interfacing,
35540  author        = {J. Pruyne and M. Livny},
35541  title         = {Interfacing {C}ondor and {PVM} to Harness the Cycles of Workstation Clusters},
35542  journal       = {Journal on Future Generations of Computer Systems},
35543  volume        = {12},
35544  year          = {1996},
35545  pages         = {67--85}
35546}
35547
35548@InCollection{    pruyne.livny:parallel,
35549  author        = {J. Pruyne and M. Livny},
35550  title         = {Parallel Processing on Dynamic Resources using {CARMI}},
35551  booktitle     = {Job Scheduling Strategies for Parallel Processing},
35552  publisher     = {Springer-Verlag},
35553  year          = {1995},
35554  editor        = {D. G. Feitelson and L. Rudolph},
35555  volume        = {949},
35556  series        = {Lecture Notes in Computer Science}
35557}
35558
35559@PhDThesis{       pruyne:resource,
35560  author        = {J. C. Pruyne},
35561  title         = {Resource Management Services for Parallel Applications},
35562  school        = {University of Wisconsin--Madison},
35563  year          = {1996},
35564  address       = {Madison, Wisconsin}
35565}
35566
35567@Book{            pshenichny.danilin:numerical,
35568  author        = {B. N. Pshenichny and Yu. M. Danilin},
35569  title         = {Numerical Methods in Extremal Problems},
35570  year          = {1978},
35571  publisher     = {MIR Publishers},
35572  address       = {Moscow}
35573}
35574
35575@TechReport{      qi.chen:globally,
35576  author        = {L. Qi and X. Chen},
35577  title         = {A Globally Convergent Successive Approximation Method for Nonsmooth Equations},
35578  institution   = {School of Mathematics, University of New South Wales},
35579  year          = {1993},
35580  annote        = {revised},
35581  address       = {Sydney}
35582}
35583
35584@Article{         qi.jiang:semismooth,
35585  author        = {L. Qi and H. Jiang},
35586  title         = {Semismooth {K}arush--{K}uhn--{T}ucker Equations and Convergence Analysis of
35587                  {N}ewton Methods and Quasi--{N}ewton Methods for Solving these Equations},
35588  journal       = {Mathematics of Operations Research},
35589  volume        = {22},
35590  pages         = {301--325},
35591  year          = {1997}
35592}
35593
35594@TechReport{      qi.peng:unconstrained,
35595  author        = {H. -D. Qi and J. -M. Peng},
35596  title         = {A New Unconstrained Optimization Approach for Nonlinear Complementarity
35597                  Problems},
35598  institution   = {State Key Laboratory of Scientific and Engineering Computing, Academic Sinica},
35599  year          = {1996},
35600  type          = {Technical Report},
35601  address       = {Beijing}
35602}
35603
35604@InCollection{    qi.sun:survey,
35605  author        = {L. Qi and D. Sun},
35606  title         = {A Survey of Some Nonsmooth Equations and Smoothing {N}ewton Methods},
35607  year          = {1999},
35608  editor        = {A. Eberhard and B. Glover and R. Hill and D. Ralph},
35609  booktitle     = {Progress in Optimization},
35610  pages         = {121--146},
35611  series        = {Applied Optimization},
35612  volume        = {30},
35613  publisher     = {Kluwer Academic Publishers},
35614  address       = {Dordrecht}
35615}
35616
35617@Article{         qi.sun:nonsmooth,
35618  author        = {L. Qi and J. Sun},
35619  title         = {A Nonsmooth Version of {N}ewton's Method},
35620  journal       = {Mathematical Programming},
35621  year          = {1993},
35622  volume        = {58},
35623  pages         = {353--368}
35624}
35625
35626@Article{         qi:convergence,
35627  author        = {L. Qi},
35628  title         = {Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations},
35629  journal       = {Mathematics of Operations Research},
35630  year          = {1993},
35631  volume        = {18},
35632  pages         = {227--244}
35633}
35634
35635@TechReport{      qi:regular,
35636  author        = {L. Qi},
35637  title         = {Regular pseudo-smooth {NCP} and {BVIP} functions and globally and quadratically
35638                  convergent generalized {N}ewton methods for complementarity and variational
35639                  inequality problems},
35640  institution   = {School of Mathematics, University of New South Wales},
35641  year          = {1997},
35642  type          = {Applied Mathematics Report},
35643  number        = {AMR 97/14},
35644  address       = {Sydney, Australia}
35645}
35646
35647@Article{         radner:competitive,
35648  author        = {R. Radner},
35649  title         = {Competitive Equilibrium under Uncertainty},
35650  journal       = {Econometrica},
35651  year          = {1968},
35652  volume        = {36},
35653  pages         = {31--58}
35654}
35655
35656@Article{         radstrom:embedding,
35657  author        = {H. R{\aa}dstr{\"{o}}m},
35658  title         = {An embedding theorem for spaces of convex sets},
35659  journal       = {Proc. Amer. Math. Soc.},
35660  year          = {1952},
35661  volume        = {3},
35662  pages         = {165--169}
35663}
35664
35665@Article{         raghavachari:connections,
35666  author        = {M. Raghavachari},
35667  title         = {On Connections between Zero--One Integer Programming and Concave Programming
35668                  Under Linear Constraints},
35669  journal       = {Operations Research},
35670  year          = {1969},
35671  volume        = {17},
35672  pages         = {680--684}
35673}
35674
35675@Article{         rajan.burridge.ea:dynamics,
35676  author        = {V. T. Rajan and R. Burridge and J. T. Schwartz},
35677  title         = {Dynamics of a rigid body in frictional contact with rigid walls},
35678  journal       = {IEEE International Conference on Robotics and Automation, Raleigh NC},
35679  month         = mar,
35680  year          = {1987},
35681  pages         = {671--677}
35682}
35683
35684@Article{         ralph:branching,
35685  author        = {D. Ralph},
35686  title         = {On Branching Numbers of Normal Manifolds},
35687  journal       = {Nonlinear Analysis, Theory, Methods and Applications},
35688  volume        = {22},
35689  pages         = {1041--1050},
35690  year          = {1994}
35691}
35692
35693@Article{         ralph:global,
35694  author        = {D. Ralph},
35695  title         = {Global Convergence of Damped {N}ewton's Method for Nonsmooth Equations, via the
35696                  Path Search},
35697  journal       = {Mathematics of Operations Research},
35698  year          = {1994},
35699  volume        = {19},
35700  pages         = {352--389}
35701}
35702
35703@InProceedings{   ralph:piecewise,
35704  author        = {D. Ralph},
35705  title         = {A Piecewise Sequential Quadratic Programming Method for Mathematical Programs
35706                  with Linear Complementarity Constraints},
35707  booktitle     = {Proceedings of the Seventh Conference on Computational Techniques and
35708                  Applications (CTAC95)},
35709  year          = {1996}
35710}
35711
35712@PhDThesis{       raman:integration,
35713  author        = {R. Raman},
35714  title         = {Integration of logic and heuristic knowledge in discrete optimization techniques
35715                  for process systems.},
35716  address       = {Pittsburgh, Pennsylvania},
35717  year          = {1993},
35718  school        = {Department of Chemical Engineering, Carnegie Mellon University}
35719}
35720
35721@PhDThesis{       rangaraj:nonsmooth,
35722  author        = {Narayan Rangaraj},
35723  title         = {Nonsmooth Optimization: Algorithms and Applications},
35724  year          = {1990},
35725  address       = {Baltimore, MD},
35726  school        = {Department of Mathematical Sciences, The Johns Hopkins University}
35727}
35728
35729@InProceedings{   reckwerdt.mackie.ea:three-dimensional,
35730  author        = {P. J. Reckwerdt and T. R. Mackie and J. P. Balog and T. R. McNutt},
35731  title         = {Three-Dimensional Inverse Treatment Optimization for Tomotherapy},
35732  booktitle     = {Proceedings of the XII International Conference on the Use of Computers in
35733                  Radiation Therapy, Salt Lake City},
35734  year          = {1997},
35735  editor        = {D. D. Leavitt and G. Starkshall},
35736  publisher     = {Medical Physics Publishing},
35737  address       = {St. Louis, Missouri},
35738  pages         = {420--422}
35739}
35740
35741@Article{         reid:sparsity-exploiting,
35742  author        = {J. K. Reid},
35743  title         = {A Sparsity-Exploiting Variant of the {B}artels-{G}olub Decomposition for Linear
35744                  Programming Bases},
35745  journal       = {Mathematical Programming},
35746  year          = {1982},
35747  volume        = {24},
35748  pages         = {55--69}
35749}
35750
35751@Book{            reingold.nievergelt.ea:combinatorial,
35752  author        = {E. Reingold and J. Nievergelt and N. Deo},
35753  title         = {Combinatorial Algorithms: Theory and Practice},
35754  publisher     = {Prentice-Hall, Inc},
35755  address       = {Englewood Cliffs, New Jersey}
35756}
35757
35758@PhDThesis{       reinoza:degree,
35759  author        = {J. A. Reinoza},
35760  title         = {A Degree for Generalized Equations},
35761  year          = {1979},
35762  address       = {Madison, Wisconsin},
35763  school        = {University of Wisconsin}
35764}
35765
35766@Article{         reinoza:solving,
35767  author        = {A. Reinoza},
35768  title         = {Solving Generalized Equations via Homotopies},
35769  journal       = {Mathematical Programming},
35770  year          = {1985},
35771  volume        = {31},
35772  pages         = {307--320}
35773}
35774
35775@PhDThesis{       ren:computable,
35776  author        = {J. Ren},
35777  title         = {Computable Error Bounds in Mathematical Programming},
35778  school        = {Computer Sciences Department, University of Wisconsin},
35779  year          = {1993},
35780  address       = {Madison, Wisconsin},
35781  note          = {Technical Report 1173}
35782}
35783
35784@Article{         renegar:polynomial-time,
35785  author        = {J. Renegar},
35786  title         = {A Polynomial--Time Algorithm, based on {N}ewton's method, for Linear
35787                  Programming},
35788  journal       = {Mathematical Programming},
35789  year          = {1988},
35790  volume        = {40},
35791  pages         = {59--94}
35792}
35793
35794@Article{         robbins.monro:stochastic,
35795  author        = {H. Robbins and S. Monro},
35796  title         = {A Stochastic Approximation Method},
35797  journal       = {Annals of Mathematical Statistics},
35798  year          = {1951},
35799  volume        = {22},
35800  pages         = {400--407}
35801}
35802
35803@Article{         robinson:analysis,
35804  author        = {S. M. Robinson},
35805  title         = {Analysis of Sample-Path Optimization},
35806  journal       = {Mathematics of Operations Research},
35807  year          = {1996},
35808  volume        = {21},
35809  pages         = {513--528}
35810}
35811
35812@InCollection{    robinson:bundle-based,
35813  author        = {S. M. Robinson},
35814  title         = {Bundle-Based Decomposition: Conditions for Convergence},
35815  booktitle     = {Analyse Non Lin\'{e}aire},
35816  year          = {1989},
35817  editor        = {H. Attouch and J. P. Aubin and F. Clarke and I. Ekeland},
35818  publisher     = {Gauthier-Villaars},
35819  address       = {Paris},
35820  pages         = {435--447}
35821}
35822
35823@InCollection{    robinson:bundle-based*1,
35824  author        = {S. M. Robinson},
35825  title         = {Bundle-Based Decomposition: Description and Preliminary Results},
35826  booktitle     = {System Modeling and Optimization},
35827  year          = {1986},
35828  editor        = {A Pr\'{e}kopa and J. Szelezc\'{a}n and B. Straazicky},
35829  publisher     = {Springer-Verlag},
35830  address       = {Berlin},
35831  pages         = {751--756},
35832  volume        = {84},
35833  series        = {Lecture Notes in Control and Information Sciences}
35834}
35835
35836@Article{         robinson:continuity,
35837  author        = {S. M. Robinson},
35838  title         = {Some Continuity Properties of Polyhedral Multifunctions},
35839  journal       = {Mathematical Programming Study},
35840  year          = {1981},
35841  volume        = {14},
35842  pages         = {206--214}
35843}
35844
35845@Article{         robinson:extension,
35846  author        = {S. M. Robinson},
35847  title         = {Extension of {N}ewton's Method to Nonlinear Functions with Values in a Cone},
35848  journal       = {Numerische Mathematik},
35849  year          = {1972},
35850  volume        = {19},
35851  pages         = {341--347}
35852}
35853
35854@InCollection{    robinson:generalized,
35855  crossref      = {bachem.grotschel.ea:mathematical},
35856  author        = {S. M. Robinson},
35857  title         = {Generalized Equations},
35858  pages         = {346--367}
35859}
35860
35861@Article{         robinson:generalized*1,
35862  author        = {S. M. Robinson},
35863  title         = {Generalized Equations and their Solution: {P}art {I}: Basic Theory},
35864  journal       = {Mathematical Programming Study},
35865  year          = {1979},
35866  volume        = {10},
35867  pages         = {128--141}
35868}
35869
35870@InCollection{    robinson:homeomorphism,
35871  author        = {S. M. Robinson},
35872  title         = {Homeomorphism Conditions for Normal Maps of Polyhedra},
35873  booktitle     = {Optimization and Nonlinear Analysis},
35874  year          = {1992},
35875  editor        = {A. Ioffe and M. Marcus and S. Reich},
35876  publisher     = {Longman},
35877  address       = {Harlow, Essex, England},
35878  pages         = {240--248},
35879  series        = {Pitman Research Notes in Mathematics Series No. 244}
35880}
35881
35882@Article{         robinson:implicit-function,
35883  author        = {S. M. Robinson},
35884  title         = {An Implicit--Function Theorem for a Class of Nonsmooth Functions},
35885  journal       = {Mathematics of Operations Research},
35886  year          = {1991},
35887  volume        = {16},
35888  pages         = {292--309}
35889}
35890
35891@Article{         robinson:local*1,
35892  author        = {S. M. Robinson},
35893  title         = {Local Epi--Continuity and Local Optimization},
35894  journal       = {Mathematical Programming},
35895  year          = {1987},
35896  volume        = {37},
35897  pages         = {208--222}
35898}
35899
35900@Article{         robinson:local*2,
35901  author        = {S. M. Robinson},
35902  title         = {Local Structure of Feasible Sets in Nonlinear Programming, {P}art~{II}:
35903                  Nondegeneracy},
35904  journal       = {Mathematical Programming Study},
35905  year          = {1984},
35906  volume        = {22},
35907  pages         = {217--230}
35908}
35909
35910@Article{         robinson:local*3,
35911  author        = {S. M. Robinson},
35912  title         = {Local Structure of Feasible Sets in Nonlinear Programming, {P}art~{III}:
35913                  Stability and Sensitivity},
35914  journal       = {Mathematical Programming Study},
35915  year          = {1987},
35916  volume        = {30},
35917  pages         = {45--66}
35918}
35919
35920@Article{         robinson:mathematical,
35921  author        = {S. M. Robinson},
35922  title         = {Mathematical Foundations of Nonsmooth Embedding Methods},
35923  journal       = {Mathematical Programming},
35924  year          = {1990},
35925  volume        = {48},
35926  pages         = {221--229}
35927}
35928
35929@Article{         robinson:newtons,
35930  author        = {S. M. Robinson},
35931  title         = {{N}ewton's Method for a Class of Nonsmooth Functions},
35932  journal       = {Set Valued Analysis},
35933  year          = {1994},
35934  volume        = {2},
35935  pages         = {291--305}
35936}
35937
35938@Article{         robinson:nonsingularity,
35939  author        = {S. M. Robinson},
35940  title         = {Nonsingularity and Symmetry for Linear Normal Maps},
35941  journal       = {Mathematical Programming},
35942  year          = {1993},
35943  volume        = {62},
35944  pages         = {415--425}
35945}
35946
35947@InCollection{    robinson:nonsmooth,
35948  author        = {S. M. Robinson},
35949  title         = {Nonsmooth Continuation for Generalized Equations},
35950  year          = {1997},
35951  pages         = {282--291},
35952  editors       = {P. Gritzmann and R. Horst and E. Sachs and R. Tichatschke},
35953  booktitle     = {Recent Advances in Optimization},
35954  series        = {Lecture Notes in Economics and Mathematical Systems},
35955  volume        = {452},
35956  publisher     = {Springer-Verlag},
35957  address       = {Heidelberg}
35958}
35959
35960@Article{         robinson:normal,
35961  author        = {S. M. Robinson},
35962  title         = {Normal Maps Induced by Linear Transformations},
35963  journal       = {Mathematics of Operations Research},
35964  year          = {1992},
35965  volume        = {17},
35966  pages         = {691--714}
35967}
35968
35969@Article{         robinson:normed,
35970  author        = {S. M. Robinson},
35971  title         = {Normed Convex Processes},
35972  journal       = {Transactions of the American Mathematical Society},
35973  year          = {1972},
35974  volume        = {174},
35975  pages         = {127--140}
35976}
35977
35978@Article{         robinson:reduction,
35979  author        = {S. M. Robinson},
35980  title         = {A reduction method for variational inequalities},
35981  journal       = {Mathematical Programming},
35982  year          = {1998},
35983  volume        = {80},
35984  pages         = {161--169}
35985}
35986
35987@Article{         robinson:regularity,
35988  author        = {S. M. Robinson},
35989  title         = {Regularity and stability for convex multivalued functions},
35990  journal       = {Mathematics of Operations Research},
35991  year          = {1976},
35992  volume        = {1},
35993  pages         = {130--143}
35994}
35995
35996@Unpublished{     robinson:shadow,
35997  author        = {S. M. Robinson},
35998  title         = {Shadow {JUNK} for biblio file},
35999  year          = {1800}
36000}
36001
36002@Article{         robinson:shadow*1,
36003  author        = {S. M. Robinson},
36004  title         = {Shadow Prices for Measures of Effectiveness {I}: Linear Model},
36005  journal       = {Operations Research},
36006  year          = {1993},
36007  volume        = {41},
36008  pages         = {518--535}
36009}
36010
36011@Article{         robinson:shadow*2,
36012  author        = {S. M. Robinson},
36013  title         = {Shadow Prices for Measures of Effectiveness {II}: General Model},
36014  journal       = {Operations Research},
36015  year          = {1993},
36016  volume        = {41},
36017  pages         = {536--548}
36018}
36019
36020@Unpublished{     robinson:stability,
36021  author        = {S. M. Robinson},
36022  title         = {Stability {JUNK} for biblio file},
36023  year          = {1800}
36024}
36025
36026@Article{         robinson:stability*1,
36027  author        = {S. M. Robinson},
36028  title         = {Stability theory for systems of inequalities, {P}art {I}: linear systems},
36029  journal       = {SIAM Journal on Numerical Analysis},
36030  year          = {1975},
36031  volume        = {12},
36032  pages         = {754--769}
36033}
36034
36035@Article{         robinson:stability*2,
36036  author        = {S. M. Robinson},
36037  title         = {Stability theory for systems of inequalities, {P}art {II}: Differentiable
36038                  Nonlinear Systems},
36039  journal       = {SIAM Journal on Numerical Analysis},
36040  year          = {1976},
36041  volume        = {13},
36042  pages         = {497--513}
36043}
36044
36045@Article{         robinson:strongly,
36046  author        = {S. M. Robinson},
36047  title         = {Strongly Regular Generalized Equations},
36048  journal       = {Mathematics of Operations Research},
36049  year          = {1980},
36050  volume        = {5},
36051  pages         = {43--62}
36052}
36053
36054@Article{         rockafellar.wets:generalized,
36055  author        = {R. T. Rockafellar and R. J.--B. Wets},
36056  title         = {Generalized Linear-Quadratic Problems of Deterministic and Stochastic Optimal
36057                  Control in Discrete Time},
36058  journal       = {SIAM Journal on Control and Optimization},
36059  year          = {1990},
36060  volume        = {28},
36061  pages         = {810--822}
36062}
36063
36064@Article{         rockafellar.wets:lagrangian,
36065  author        = {R. T. Rockafellar and R. J.--B. Wets},
36066  title         = {A {L}agrangian Finite Generation Technique for Solving Linear-Quadratic Problems
36067                  in Stochastic Programming},
36068  journal       = {Mathematical Programming Study},
36069  year          = {1986},
36070  volume        = {28},
36071  pages         = {63--93}
36072}
36073
36074@InCollection{    rockafellar.wets:linear-quadratic,
36075  author        = {R. T. Rockafellar and R. J.--B. Wets},
36076  title         = {Linear-Quadratic Programming Problems with Stochastic Penalties: the Finite
36077                  Generation Algorithm},
36078  booktitle     = {Stochastic Optimization},
36079  publisher     = {Springer-Verlag},
36080  year          = {1987},
36081  editor        = {V. I. Arkin and A. Shiraer and R. J.--B. Wets},
36082  series        = {Lecture Notes in Control and Information Sciences, IIASA Series No. 81},
36083  pages         = {545--560},
36084  address       = {New York, Berlin}
36085}
36086
36087@Article{         rockafellar.wets:scenarios,
36088  author        = {R. T. Rockafellar and R. J.--B. Wets},
36089  title         = {Scenarios and Policy Aggregation in Optimization under Uncertainty},
36090  journal       = {Mathematics of Operations Research},
36091  year          = {1991},
36092  volume        = {10},
36093  pages         = {119--147}
36094}
36095
36096@InProceedings{   rockafellar:applications,
36097  author        = {R. T. Rockafellar},
36098  title         = {New Applications of Duality in Convex Programming},
36099  booktitle     = {Proceedings of the Fourth Conference on Probability},
36100  year          = {1971},
36101  address       = {Brasov, Romania}
36102}
36103
36104@Article{         rockafellar:augmented,
36105  author        = {R. T. Rockafellar},
36106  title         = {Augmented {L}agrange Multiplier Functions and Duality in Nonconvex Programming},
36107  journal       = {SIAM Journal on Control and Optimization},
36108  year          = {1974},
36109  volume        = {12},
36110  pages         = {268--285}
36111}
36112
36113@Article{         rockafellar:augmented*1,
36114  author        = {R. T. Rockafellar},
36115  title         = {Augmented {L}agrangians and Applications of the Proximal Point Algorithm in
36116                  Convex Programming},
36117  journal       = {Mathematics of Operations Research},
36118  year          = {1976},
36119  volume        = {1},
36120  pages         = {97--116}
36121}
36122
36123@Article{         rockafellar:characterization,
36124  author        = {R. T. Rockafellar},
36125  title         = {Characterization of the subdifferentials of convex functions},
36126  journal       = {Pacific Journal of Mathematics},
36127  year          = {1966},
36128  volume        = {17},
36129  number        = {3},
36130  pages         = {497--510}
36131}
36132
36133@Article{         rockafellar:computational,
36134  author        = {R. T. Rockafellar},
36135  title         = {Computational Schemes for Large--Scale Problems in Extended Linear--Quadratic
36136                  Programming},
36137  journal       = {Mathematical Programming},
36138  year          = {1990},
36139  volume        = {48},
36140  pages         = {447--474}
36141}
36142
36143@Book{            rockafellar:conjugate,
36144  author        = {R. T. Rockafellar},
36145  title         = {Conjugate Duality and Optimization},
36146  year          = {1974},
36147  publisher     = {SIAM},
36148  address       = {Philadelphia, Pennsylvania},
36149  volume        = {16},
36150  series        = {Conference Board of the Mathematical Sciences}
36151}
36152
36153@Book{            rockafellar:convex,
36154  author        = {R. T. Rockafellar},
36155  title         = {Convex Analysis},
36156  year          = {1970},
36157  publisher     = {Princeton University Press},
36158  address       = {Princeton, New Jersey}
36159}
36160
36161@Article{         rockafellar:first-,
36162  author        = {R. T. Rockafellar},
36163  title         = {First-- and Second--Order Epi--Differentiabilty in Nonlinear Programming},
36164  journal       = {Transactions of the American Mathematical Society},
36165  year          = {1988},
36166  volume        = {307},
36167  pages         = {75--108}
36168}
36169
36170@InProceedings{   rockafellar:generalized,
36171  author        = {R. T. Rockafellar},
36172  title         = {A Generalized Approach to Linear-Quadratic Programming},
36173  booktitle     = {Proceedings of the International Conference on Numerical Optimization and
36174                  Applications},
36175  year          = {1986},
36176  pages         = {58--66},
36177  note          = {(Xi'an, China)}
36178}
36179
36180@InProceedings{   rockafellar:generalized*1,
36181  crossref      = {bachem.grotschel.ea:mathematical},
36182  author        = {R. T. Rockafellar},
36183  title         = {Generalized Subgradients in Mathematical Programming},
36184  pages         = {368--390}
36185}
36186
36187@InCollection{    rockafellar:large-scale,
36188  author        = {R. T. Rockafellar},
36189  title         = {Large-Scale Extended Linear-Quadratic Programming and Multistage Optimization},
36190  booktitle     = {Advances in Numerical Partial Differential Equations and Optimization},
36191  chapter       = {15},
36192  year          = {1991},
36193  editor        = {S. Gomez and J. P. Hennart and R. A. Tapia},
36194  publisher     = {SIAM Publications},
36195  pages         = {247--261}
36196}
36197
36198@Article{         rockafellar:linear-quadratic,
36199  author        = {R. T. Rockafellar},
36200  title         = {Linear-Quadratic Programming and Optimal Control},
36201  journal       = {SIAM Journal on Control and Optimization},
36202  year          = {1987},
36203  volume        = {25},
36204  pages         = {781--814}
36205}
36206
36207@Article{         rockafellar:maximality,
36208  author        = {R. T. Rockafellar},
36209  title         = {On the Maximality of Sums of Nonlinear Monotone Operators},
36210  journal       = {Transactions of the American Mathematical Society},
36211  year          = {1970},
36212  volume        = {149},
36213  pages         = {75--88}
36214}
36215
36216@InCollection{    rockafellar:monotone,
36217  author        = {R. T. Rockafellar},
36218  title         = {Monotone Operators and Augmented {L}agrangian Methods in Nonlinear Programming},
36219  crossref      = {mangasarian.meyer.ea:nonlinear*3},
36220  pages         = {1--26}
36221}
36222
36223@Article{         rockafellar:monotone*1,
36224  author        = {R. T. Rockafellar},
36225  title         = {Monotone Operators and the Proximal Point Algorithm},
36226  journal       = {SIAM Journal on Control and Optimization},
36227  year          = {1976},
36228  volume        = {14},
36229  pages         = {877--898}
36230}
36231
36232@Article{         rockafellar:multiplier,
36233  author        = {R. T. Rockafellar},
36234  title         = {The Multiplier Method of {H}estenes and {P}owell Applied to Convex Programming},
36235  journal       = {Journal of Optimization Theory and Applications},
36236  year          = {1973},
36237  volume        = {12},
36238  pages         = {555--562}
36239}
36240
36241@Article{         rockafellar:multistage,
36242  author        = {R. T. Rockafellar},
36243  title         = {Multistage Convex Programming and Discrete-Time Optimal Control},
36244  journal       = {Control and Cybernetics},
36245  year          = {1988},
36246  volume        = {17},
36247  number        = {2-3},
36248  pages         = {225--245}
36249}
36250
36251@Book{            rockafellar:network,
36252  author        = {R. T. Rockafellar},
36253  title         = {Network Flows and Monotropic Optimization},
36254  publisher     = {John Wiley},
36255  year          = {1984},
36256  address       = {New York}
36257}
36258
36259@Article{         rodrigues:mixed,
36260  author        = {H. C. Rodrigues},
36261  title         = {A mixed variational formulation for shape optimization of solids with contact
36262                  conditions},
36263  journal       = {Structural Optimization},
36264  volume        = {6},
36265  year          = {1993},
36266  pages         = {19--28}
36267}
36268
36269@Book{            rodrigues:obstacle,
36270  author        = {J. F. Rodrigues},
36271  title         = {Obstacle Problems in Mathematical Physics},
36272  publisher     = {Elsevier Publishing Company},
36273  address       = {Amsterdam},
36274  year          = {1987}
36275}
36276
36277@Book{            roos.terlaky.ea:theory,
36278  author        = {C. Roos and T. Terlaky and J.--Ph. Vial},
36279  title         = {Theory and Algorithms for Linear Optimization: An Interior-Point Approach},
36280  publisher     = {John Wiley \& Sons},
36281  year          = {1997},
36282  address       = {Chichester}
36283}
36284
36285@TechReport{      rosa:decomposition,
36286  author        = {C. H. Rosa},
36287  title         = {A Decomposition Technique for Equilibrium Programming under Uncertainty},
36288  institution   = {IIASA},
36289  year          = {1996},
36290  number        = {WP-96-013},
36291  address       = {A-2361 Laxenburg, Austria}
36292}
36293
36294@Article{         rosen.lane.ea:treatment,
36295  author        = {I. Rosen and R. Lane and S. Morrill and J. Belli},
36296  title         = {Treatment Plan Optimization Using Linear Programming},
36297  journal       = {Medical Physics},
36298  year          = {1990},
36299  volume        = {18},
36300  number        = {2},
36301  pages         = {141--152}
36302}
36303
36304@TechReport{      rosenblatt:perceptron-a,
36305  author        = {F. Rosenblatt},
36306  title         = {The perceptron--a perceiving and recognizing automaton},
36307  institution   = {Cornell Aeronautical Laboratory},
36308  year          = {1957},
36309  month         = jan,
36310  address       = {Ithaca, New York},
36311  number        = {85-460-1}
36312}
36313
36314@Book{            rosenblatt:principles,
36315  author        = {F. Rosenblatt},
36316  title         = {Principles of Neurodynamics},
36317  year          = {1962},
36318  publisher     = {Spartan Books},
36319  address       = {New York}
36320}
36321
36322@InProceedings{   rosenblatt:two,
36323  author        = {F. Rosenblatt},
36324  title         = {Two theorems of statistical separability in the perceptron},
36325  booktitle     = {Proceedings of Symposium Held at National Physical Laboratory, November 1958},
36326  year          = {1959},
36327  publisher     = {{HMS} Stationery Office},
36328  address       = {London},
36329  volume        = {1}
36330}
36331
36332@Article{         rosenbrock:automatic,
36333  author        = {H. H. Rosenbrock},
36334  title         = {Automatic Method for Finding the Greatest or Least Value of a Function},
36335  journal       = {Computer Journal},
36336  year          = {1960},
36337  volume        = {3},
36338  pages         = {175--184}
36339}
36340
36341@Article{         roy.mukhopadhyay:pattern,
36342  author        = {A. Roy and S. Mukhopadhyay},
36343  title         = {Pattern Classification Using Linear Programming},
36344  journal       = {ORSA Journal on Computing},
36345  year          = {1990},
36346  volume        = {3},
36347  pages         = {66--80}
36348}
36349
36350@Book{            rubinstein:monte,
36351  author        = {R. Rubinstein},
36352  title         = {Monte Carlo Optimization, Simulation, and Sensitivity Analysis of Queueing
36353                  Networks},
36354  publisher     = {Wiley},
36355  address       = {New York, NY},
36356  year          = {1986}
36357}
36358
36359@Article{         ruchala.olivera.ea:comparison,
36360  author        = {K. J. Ruchala and G. H. Olivera and T. R. Mackie},
36361  title         = {A Comparison of Maximum-Likelihood and Iterative Filtered Backprojection
36362                  Reconstruction Algorithms for Megavoltage {CT} on a Tomotherapy System},
36363  journal       = {Physics in Medicine and Biology, forthcoming},
36364  year          = {1999}
36365}
36366
36367@Book{            rudin:principles,
36368  author        = {W. Rudin},
36369  title         = {Principles of Mathematical Analysis},
36370  year          = {1976},
36371  publisher     = {McGraw--Hill},
36372  address       = {Tokyo, Japan},
36373  edition       = {Third}
36374}
36375
36376@Book{            rudin:real,
36377  author        = {W. Rudin},
36378  title         = {Real and Complex Analysis},
36379  year          = {1974},
36380  publisher     = {McGraw--Hill},
36381  address       = {Tokyo, Japan},
36382  edition       = {Second}
36383}
36384
36385@InProceedings{   rumelhart.hinton.ea:learning,
36386  author        = {D. E. Rumelhart and G. E. Hinton and R. J. Williams},
36387  title         = {Learning Internal Representations by Error Propagation},
36388  booktitle     = {Parallel Distributed Processing},
36389  year          = {1986},
36390  editor        = {D. E. Rumelhart and J. L. McClelland},
36391  publisher     = {MIT Press},
36392  address       = {Cambridge, Massachusetts},
36393  pages         = {318--362}
36394}
36395
36396@Book{            rumelhart.mcclelland:parallel,
36397  author        = {D. E. Rumelhart and J. L. McClelland},
36398  title         = {Parallel Distributed Processing},
36399  year          = {1986},
36400  publisher     = {MIT Press},
36401  address       = {Cambridge, Massachusetts}
36402}
36403
36404@InCollection{    ruszczynski:regularized,
36405  author        = {A. Ruszczynski},
36406  title         = {On the Regularized Decomposition for Stochastic Programming Problems},
36407  year          = {1995},
36408  booktitle     = {Stochastic Programming: Numerical Techniques and Engineering Applications},
36409  editor        = {K. Marti and P. Kall},
36410  publisher     = {Springer-Verlag},
36411  address       = {Berlin},
36412  volume        = {425},
36413  series        = {Lecture Notes in Control and Information Sciences},
36414  pages         = {93--108}
36415}
36416
36417@Article{         rutherford.rutstrom.ea:lacord,
36418  author        = {T. F. Rutherford and E. E. Rutstrom and D. Tarr},
36419  title         = {{L}'accord de libre-echange entre le {M}aroc et la {CE}: une evaluation
36420                  quantitative},
36421  journal       = {Revue d' Economie du developpement},
36422  year          = {1994}
36423}
36424
36425@InCollection{    rutherford.tarr:blueprints,
36426  author        = {T. Rutherford and D. Tarr},
36427  title         = {Blueprints, Spillovers and the Dynamic Gains from Trade Liberalization in a Small
36428                  Open Economy},
36429  booktitle     = {Dynamic Issues in Applied Commercial Policy Analysis},
36430  publisher     = {Cambridge University Press},
36431  year          = {1997},
36432  editor        = {R. Baldwin and J. Francois},
36433  address       = {New York}
36434}
36435
36436@Article{         rutherford:applied,
36437  author        = {T. F. Rutherford},
36438  title         = {Applied General Equilibrium Modeling with {MPSGE} as a {GAMS} Subsystem: An
36439                  Overview of the Modeling Framework and Syntax},
36440  year          = {1999},
36441  volume        = {14},
36442  pages         = {1--46},
36443  journal       = {Computational Economics}
36444}
36445
36446@PhDThesis{       rutherford:applied*1,
36447  author        = {T. F. Rutherford},
36448  title         = {Applied General Equilibrium Modeling},
36449  school        = {Stanford University},
36450  year          = {1987}
36451}
36452
36453@Article{         rutherford:extensions,
36454  author        = {T. F. Rutherford},
36455  title         = {Extensions of {GAMS} for Complementarity Problems Arising in Applied Economic
36456                  Analysis},
36457  journal       = {Journal of Economic Dynamics and Control},
36458  volume        = {19},
36459  pages         = {1299--1324},
36460  year          = {1995}
36461}
36462
36463@Misc{            rutherford:gnuplot,
36464  author        = {T. F. Rutherford},
36465  title         = {A Libinclude Interface to Gnuplot from {GAMS}},
36466  organization  = {Department of Economics, University of Colorado},
36467  address       = {Boulder, Colorado},
36468  note          = {http://robles.colorado.edu/~tomruth/gnuplot/gnuplot.htm}
36469}
36470
36471@Unpublished{     rutherford:miles,
36472  author        = {T. F. Rutherford},
36473  title         = {{MILES}: {A} Mixed Inequality and nonLinear Equation Solver},
36474  year          = {1993},
36475  note          = {Working Paper, Department of Economics, University of Colorado, Boulder}
36476}
36477
36478@TechReport{      rutherford:modeling,
36479  author        = {T. F. Rutherford},
36480  title         = {A Modeling System for Applied General Equilibrium Analysis},
36481  type          = {Cowles Foundation Discussion Paper},
36482  number        = {836},
36483  institution   = {Yale University},
36484  year          = {1987}
36485}
36486
36487@TechReport{      rutherford:mpsge,
36488  author        = {T. F. Rutherford},
36489  title         = {{MPSGE}},
36490  institution   = {University of Western Ontario},
36491  year          = {1988},
36492  address       = {London, Ontario}
36493}
36494
36495@Article{         rykov:simplex,
36496  author        = {A. S. Rykov},
36497  title         = {Simplex Direct Search Algorithms},
36498  journal       = {Automation and Remote Control},
36499  year          = {1980},
36500  volume        = {41},
36501  pages         = {784--793}
36502}
36503
36504@Article{         saad.schultz:gmres,
36505  author        = {Y. Saad and M. Schultz},
36506  title         = {{GMRES}: {A} Generalized Minimal Residual Algorithm for Solving Nonsymmetric
36507                  Linear Systems},
36508  journal       = {SIAM Journal on Scientific and Statistical Computing},
36509  year          = {1986},
36510  volume        = {44},
36511  pages         = {856--869}
36512}
36513
36514@Book{            saad:iterative,
36515  author        = {Y. Saad},
36516  title         = {Iterative Methods for Sparse Linear Systems},
36517  year          = {1996},
36518  publisher     = {PWS Publishing Company},
36519  address       = {Boston, Massachusetts}
36520}
36521
36522@Article{         sahni:approximate,
36523  author        = {S. Sahni},
36524  title         = {Approximate Algorithms for the 0/1 Knapsack Problem},
36525  journal       = {jacm},
36526  year          = {1975},
36527  volume        = {22},
36528  pages         = {115--124}
36529}
36530
36531@InProceedings{   sauer.shepard.ea:comparison,
36532  author        = {O. A. Sauer and D. M. Shepard and L. Angelos and T. R. Mackie},
36533  title         = {A Comparison of Objective Functions for Use in Radiotherapy Optimization},
36534  booktitle     = {Proceedings of the XII International Conference on the Use of Computers in
36535                  Radiation Therapy, Salt Lake City},
36536  year          = {1997},
36537  editor        = {D. D. Leavitt and G. Starkshall},
36538  publisher     = {Medical Physics Publishing},
36539  address       = {St. Louis, Missouri}
36540}
36541
36542@Article{         sauer.xu:multivariate,
36543  author        = {Th. Sauer and Y. Xu},
36544  title         = {On Multivariate {L}agrange Interpolation},
36545  journal       = {Mathematics of Computation},
36546  year          = {1995},
36547  volume        = {64},
36548  pages         = {1147--1170}
36549}
36550
36551@Article{         savelsbergh:preprocessing,
36552  author        = {M. W. P. Savelsbergh},
36553  title         = {Preprocessing and Probing Techniques for Mixed Integer Programming Problems},
36554  journal       = {ORSA Journal on Computing},
36555  year          = {1994},
36556  volume        = {6},
36557  pages         = {445--454}
36558}
36559
36560@Article{         scarf:approximation,
36561  author        = {H. E. Scarf},
36562  title         = {The Approximation of Fixed Points of a Continuous Mapping},
36563  journal       = {SIAM Journal on Applied Mathematics},
36564  year          = {1967},
36565  volume        = {15},
36566  pages         = {1328--1343}
36567}
36568
36569@Book{            scarf:computation,
36570  author        = {H. E. Scarf},
36571  title         = {The Computation of Economic Equilibria},
36572  year          = {1973},
36573  publisher     = {Yale University Press},
36574  address       = {New Haven, Connecticut}
36575}
36576
36577@TechReport{      scheel.scholtes:mathematical,
36578  author        = {H. Scheel and S. Scholtes},
36579  title         = {Mathematical Programs with Complementarity Constraints: Stationarity, Optimality,
36580                  and Sensitivity},
36581  institution   = {Judge Institute of Management Studies, University of Cambridge},
36582  year          = {1998},
36583  type          = {Technical Report},
36584  address       = {Cambridge, England}
36585}
36586
36587@Article{         schlick:modified,
36588  author        = {T. Schlick},
36589  title         = {Modified {C}holesky Factorization for Sparse Preconditioners},
36590  journal       = {SIAM Journal on Scientific Computing},
36591  year          = {1993},
36592  volume        = {14},
36593  pages         = {424--445}
36594}
36595
36596@Article{         schnabel.eskow:modified,
36597  author        = {R. B. Schnabel and E. Eskow},
36598  title         = {A New Modified {C}holesky Factorization},
36599  journal       = {SIAM Journal on Scientific and Statistical Computing},
36600  year          = {1991},
36601  volume        = {11},
36602  pages         = {1136--1158}
36603}
36604
36605@Article{         schneider.zenios:comparative,
36606  author        = {M. H. Schneider and S. A. Zenios},
36607  title         = {A Comparative Study of Algorithms for Matrix Balancing},
36608  journal       = {Operations Research},
36609  year          = {1990},
36610  volume        = {38},
36611  pages         = {439--455}
36612}
36613
36614@Book{            scholkopf.burges.ea:advances,
36615  editor        = {B. {Sch\"{o}lkopf} and C. Burges and A. Smola},
36616  title         = {Advances in Kernel Methods: Support Vector Machines},
36617  publisher     = {MIT Press},
36618  address       = {Cambridge, MA },
36619  year          = {1998},
36620  isbn          = {0-262-19416-3}
36621}
36622
36623@Article{         scholtes.stohr:exact,
36624  author        = {S. Scholtes and M. St{\"{o}}hr},
36625  title         = {Exact Penalization of Mathematical Programs with Equilibrium Constraints},
36626  journal       = {SIAM Journal on Control and Optimization},
36627  volume        = {37},
36628  pages         = {617--652},
36629  year          = {1999}
36630}
36631
36632@TechReport{      scholtes:introduction,
36633  author        = {S. Scholtes},
36634  title         = {Introduction to piecewise differentiable equations},
36635  institution   = {Institut f{\"{u}}r Statistik und Mathematische Wirtschaftstheorie,
36636                  Universit{\"{a}}t Karlsruhe},
36637  year          = {1994},
36638  type          = {Preprint},
36639  number        = {No. 53/1994},
36640  address       = {Karlsruhe, Germany}
36641}
36642
36643@Article{         schramm.zowe:version,
36644  author        = {H. Schramm and J. Zowe},
36645  title         = {A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual
36646                  Idea, Convergence Analysis, Numerical Results},
36647  journal       = {SIAM Journal on Optimization},
36648  year          = {1992},
36649  volume        = {2},
36650  pages         = {121--152}
36651}
36652
36653@Article{         schultz.meyer:interior,
36654  author        = {G. L. Schultz and R. R. Meyer},
36655  title         = {An Interior Point Method for Block Angular Optimization},
36656  journal       = {SIAM Journal on Optimization},
36657  year          = {1991},
36658  volume        = {1},
36659  pages         = {583--602}
36660}
36661
36662@InProceedings{   sekiguchi.sato.ea:ninf,
36663  author        = {S. Sekiguchi and M. Sato and S. Matsuoka and U. Nagashima},
36664  title         = {Ninf: Network based Information Library for Globally High Performance Computing},
36665  booktitle     = {Proceedings of the Parallel Object-Oriented Methods and Applications ({POOMA})},
36666  year          = {1996},
36667  address       = {Santa Fe}
36668}
36669
36670@InCollection{    sellami.robinson:homotopies,
36671  author        = {H. Sellami and S. M. Robinson},
36672  title         = {Homotopies Based on Nonsmooth Equations for Solving Nonlinear Variational
36673                  Inequalities},
36674  booktitle     = {Nonlinear Optimization and Applications},
36675  editor        = {G. Di Pillo and F. Giannessi},
36676  year          = {1996},
36677  pages         = {327--343},
36678  publisher     = {Plenum Press},
36679  address       = {New York}
36680}
36681
36682@Article{         sellami.robinson:implementation,
36683  author        = {H. Sellami and S. M. Robinson},
36684  title         = {Implementation of a Continuation Method for Normal Maps},
36685  journal       = {Mathematical Programming},
36686  year          = {1997},
36687  volume        = {76},
36688  pages         = {563--578}
36689}
36690
36691@PhDThesis{       sellami:continuation,
36692  author        = {H. Sellami},
36693  title         = {A Continuation Method for Normal Maps},
36694  school        = {University of Wisconsin -- Madison},
36695  year          = {1994},
36696  address       = {Madison, Wisconsin}
36697}
36698
36699@Article{         sellami:homotopy,
36700  author        = {H. Sellami},
36701  title         = {A Homotopy Continuation Method for Normal Maps},
36702  journal       = {Mathematical Programming},
36703  vol           = {82},
36704  year          = {1998},
36705  pages         = {317--337}
36706}
36707
36708@Book{            seuss:one,
36709  author        = {{Dr.} A. Seuss},
36710  title         = {One Fish, Two Fish, Red Fish, Blue Fish},
36711  year          = {1960},
36712  publisher     = {Beginner Books},
36713  address       = {New York},
36714  series        = {Beginner Books, B13},
36715  note          = {A story--poem about the activities of such unusual animals as the Nook, Wump,
36716                  Yink, Yop, Gack, and the Zeds}
36717}
36718
36719@Article{         seyfferth.pfeiffer:dynamics,
36720  author        = {W. Seyfferth and F. Pfeiffer},
36721  title         = {Dynamics of Assembly Processes With a Manipulator},
36722  journal       = {Proceedings of the 1992 IEEE/RSJ International Conference on Intelligent Robots
36723                  and Systems},
36724  year          = {1992},
36725  pages         = {1303--1310}
36726}
36727
36728@Article{         shanno.simantiraki:infeasible,
36729  author        = {D. Shanno and E. Simantiraki},
36730  title         = {An Infeasible Interior--Point Method for Linear Complementarity Problems},
36731  year          = {1997},
36732  journal       = {SIAM Journal on Optimization},
36733  volume        = {7},
36734  pages         = {620--640}
36735}
36736
36737@InProceedings{   shanno.simantiraki:interior,
36738  author        = {D. Shanno and E. Simantiraki},
36739  title         = {Interior Point Methods for Linear and Nonlinear Programming},
36740  booktitle     = {State of the Art in Numerical Analysis},
36741  year          = {1997},
36742  editor        = {I. S. Duff and G. A. Watson},
36743  publisher     = {Oxford University Press},
36744  address       = {Oxford}
36745}
36746
36747@Article{         shannon:introduction,
36748  author        = {R. E. Shannon},
36749  title         = {Introduction to the Art and Science of simulation},
36750  journal       = {WSC98 1998 Winter simulation conference proceedings},
36751  year          = {1998},
36752  volume        = {1},
36753  pages         = {7--14}
36754}
36755
36756@TechReport{      shapiro:concepts,
36757  author        = {A. Shapiro},
36758  title         = {On Concepts of Directional Differentiability},
36759  institution   = {Department of Mathematics and Applied Mathematics, University of South Africa},
36760  year          = {1988},
36761  address       = {Pretoria, South Africa},
36762  number        = {73/88(18)},
36763  type          = {Research Report}
36764}
36765
36766@Book{            shavlik.editors:readings,
36767  author        = {J. W. Shavlik and T. G. Dietterich {(editors)}},
36768  title         = {Readings in Machine Learning},
36769  year          = {1990},
36770  publisher     = {Morgan Kaufman},
36771  address       = {San Mateo, California}
36772}
36773
36774@Article{         shavlik.mooney.ea:symbolic,
36775  author        = {J. W. Shavlik and R. J. Mooney and G. G. Towell},
36776  title         = {Symbolic and Neural Network Learning Algorithms: An Experimental Comparison},
36777  journal       = {Machine Learning},
36778  year          = {1991},
36779  volume        = {6},
36780  pages         = {111--143}
36781}
36782
36783@Book{            sheffi:urban,
36784  author        = {Y. Sheffi},
36785  title         = {Urban Transportation Networks},
36786  publisher     = {Prentice-Hall, Inc},
36787  year          = {1985},
36788  address       = {Englewood Cliffs, New Jersey}
36789}
36790
36791@Article{         sheng.potra:quadratically,
36792  author        = {R. Sheng and F. A. Potra},
36793  title         = {A Quadratically {CO}nvergent Infeasible-Interior-Point {AL}gorithm for {LCP} with
36794                  Polynomial {CO}mplexity},
36795  journal       = {SIAM Journal on Optimization},
36796  year          = {1997},
36797  volume        = {7},
36798  pages         = {304--317}
36799}
36800
36801@InProceedings{   shepard.angelos.ea:simple,
36802  author        = {D. M. Shepard and L. Angelos and O. A. Sauer and T. R. Mackie},
36803  title         = {A Simple Model for Examining Radiotherapy Optimization},
36804  booktitle     = {Proceedings of the XII International Conference on the Use of Computers in
36805                  Radiation Therapy, Salt Lake City},
36806  year          = {1997},
36807  editor        = {D. D. Leavitt and G. Starkshall},
36808  publisher     = {Medical Physics Publishing},
36809  address       = {St. Louis, Missouri}
36810}
36811
36812@Article{         shepard.ferris.ea:inverse,
36813  author        = {D. M. Shepard and M. C. Ferris and R. Ove and L. Ma},
36814  title         = {Inverse Treatment Planning for Gamma Knife Radiosurgery},
36815  journal       = {Medical Physics},
36816  volume        = {27},
36817  pages         = {12},
36818  year          = {2000},
36819  key           = {93}
36820}
36821
36822@Article{         shepard.ferris.ea:optimizing,
36823  author        = {D. M. Shepard and M. C. Ferris and G. Olivera and T. R. Mackie},
36824  title         = {Optimizing the Delivery of Radiation to Cancer Patients},
36825  journal       = {SIAM Review},
36826  volume        = {41},
36827  pages         = {721--744},
36828  year          = {1999},
36829  url           = {ftp://ftp.cs.wisc.edu/math-prog/tech-reports/98-07.ps},
36830  key           = {68},
36831  institution   = {Computer Sciences Department, University of Wisconsin},
36832  address       = {Madison, Wisconsin},
36833  number        = {98-07},
36834  type          = {Mathematical Programming Technical Report}
36835}
36836
36837@Article{         sherali.shetty:finitely,
36838  author        = {H. D. Sherali and C. M. Shetty},
36839  title         = {A Finitely Convergent Algorithm for Bilinear Programming Problems using Polar
36840                  Cuts and Disjunctive Face Cuts},
36841  journal       = {Mathematical Programming},
36842  year          = {1980},
36843  volume        = {19},
36844  pages         = {14--31}
36845}
36846
36847@Article{         sherali.soyster.ea:stackelberg-nash-cournot,
36848  author        = {H. D. Sherali and A. L. Soyster and F. H. Murphy},
36849  title         = {{S}tackelberg--{N}ash--{C}ournot Equilibria: Characterization and Computation},
36850  journal       = {Operations Research},
36851  year          = {1983},
36852  volume        = {31},
36853  pages         = {253--276}
36854}
36855
36856@Article{         shi.olafsson.ea:hybrid,
36857  author        = {L. Shi and S. \'{O}lafsson and Q. Chen},
36858  title         = {A New Hybrid Optimization Algorithm},
36859  journal       = {Computers and Industrial Engineering},
36860  year          = {1999},
36861  volume        = {36},
36862  pages         = {409--426}
36863}
36864
36865@PhDThesis{       shiau:iterative,
36866  author        = {T.--H. Shiau},
36867  title         = {Iterative Linear Programming for Linear Complementarity and Related Problems},
36868  school        = {Computer Sciences Department, University of Wisconsin},
36869  year          = {1983},
36870  address       = {Madison, Wisconsin},
36871  note          = {Technical Report 507}
36872}
36873
36874@InProceedings{   shor:generalized,
36875  crossref      = {bachem.grotschel.ea:mathematical},
36876  author        = {N. Z. Shor},
36877  title         = {Generalized Gradient Methods of Nondifferentiable Optimization Employing Space
36878                  Dilation Operations},
36879  pages         = {501--529}
36880}
36881
36882@Book{            shor:minimization,
36883  author        = {N. Z. Shor},
36884  title         = {Minimization Methods for Nondifferentiable Functions},
36885  year          = {1985},
36886  publisher     = {Springer-Verlag},
36887  address       = {Berlin}
36888}
36889
36890@Article{         shoven.whalley:applied,
36891  author        = {J. Shoven and J. Whalley},
36892  title         = {Applied General Equilibrium Models of Taxation and International Trade:
36893                  Introduction and Survey},
36894  journal       = {Journal of Economic Literature},
36895  year          = {1984},
36896  volume        = {22},
36897  pages         = {1007--1051}
36898}
36899
36900@Article{         shultz.meyer:interior,
36901  author        = {G. L. Shultz and R. R. Meyer},
36902  title         = {An Interior Point Method for Block Angular Optimization},
36903  journal       = {SIAM Journal on Optimization},
36904  year          = {1991},
36905  volume        = {1},
36906  pages         = {583--602}
36907}
36908
36909@Article{         shultz.schnabel.ea:family,
36910  author        = {G. A. Shultz and R. B. Schnabel and R. H. Byrd},
36911  title         = {A Family of Trust--Region--Based Algorithms for Unconstrained Minimization},
36912  journal       = {SIAM Journal on Numerical Analysis},
36913  year          = {1985},
36914  volume        = {22},
36915  pages         = {44--67}
36916}
36917
36918@Article{         sibony:methodes,
36919  author        = {M. Sibony},
36920  title         = {Methodes iteratives pur les equations et inequations aux derives partielles
36921                  nonlineaires de type monotone},
36922  journal       = {Calcolo},
36923  year          = {1970},
36924  volume        = {7},
36925  pages         = {65--183}
36926}
36927
36928@Article{         sidney:optimal,
36929  author        = {J. B. Sidney},
36930  title         = {Optimal Single--Machine Scheduling with Earliness and Tardiness Penalties},
36931  journal       = {Operations Research},
36932  year          = {1977},
36933  volume        = {25},
36934  pages         = {62--69}
36935}
36936
36937@Book{            siegel:corba,
36938  author        = {J. Siegel},
36939  title         = {{CORBA} - Fundamentals and Programming},
36940  publisher     = {John Wiley \& Sons},
36941  year          = {1996},
36942  address       = {New York, New York}
36943}
36944
36945@TechReport{      simantiraki.shanno:infeasible-interior-point,
36946  author        = {E. Simantiraki and D. F. Shanno},
36947  title         = {An infeasible-interior-point algorithm for linear complementarity problems},
36948  type          = {Research Report},
36949  number        = {7-95},
36950  institution   = {Rutgers Center for Operations Research, Rutgers University},
36951  address       = {New Brunswick, New Jersey},
36952  year          = {1995}
36953}
36954
36955@InProceedings{   simantiraki.shanno:infeasible-interior-point*1,
36956  author        = {E. Simantiraki and D. F. Shanno},
36957  title         = {An Infeasible-Interior-Point Algorithm for Solving Mixed Complementarity
36958                  Problems},
36959  crossref      = {ferris.pang:complementarity},
36960  pages         = {386--404}
36961}
36962
36963@Book{            simpson:artificial,
36964  author        = {P. K. Simpson},
36965  title         = {Artificial Neural Systems},
36966  year          = {1990},
36967  publisher     = {Pergamon Press},
36968  address       = {New York}
36969}
36970
36971@Article{         smeers:computable,
36972  author        = {Y. Smeers},
36973  title         = {Computable Equilibrium Models and the Restructuring of the {E}uropean Electricity
36974                  and Gas Markets},
36975  journal       = {The Energy Journal},
36976  year          = {1997},
36977  optkey        = {},
36978  optvolume     = {18},
36979  optnumber     = {},
36980  optmonth      = {},
36981  optpages      = {1--32},
36982  optnote       = {},
36983  optannote     = {}
36984}
36985
36986@Article{         smith:design,
36987  author        = {F. W. Smith},
36988  title         = {Design of Multicategory Pattern Classifiers with Two-Category Classifier Design
36989                  Procedures},
36990  journal       = {IEEE Transactions on Computers},
36991  year          = {1969},
36992  volume        = {18},
36993  pages         = {367--372}
36994}
36995
36996@Article{         smith:existence,
36997  author        = {M. J. Smith},
36998  title         = {The Existence, Uniqueness and Stability of Traffic Equilibria},
36999  journal       = {Transportation Research},
37000  year          = {1979},
37001  volume        = {13B},
37002  pages         = {295--304}
37003}
37004
37005@Article{         smith:existence*1,
37006  author        = {M. J. Smith},
37007  title         = {The existence and calculation of traffic equilibria},
37008  journal       = {Transportation Research},
37009  volume        = {17B},
37010  year          = {1983},
37011  pages         = {291--303}
37012}
37013
37014@Article{         smith:pattern,
37015  author        = {F. W. Smith},
37016  title         = {Pattern Classifier Design by Linear Programming},
37017  journal       = {IEEE Transactions on Computers},
37018  year          = {1968},
37019  volume        = {C-17},
37020  pages         = {367--372}
37021}
37022
37023@Article{         solodov.svaiter:projection,
37024  author        = {M. V. Solodov and B. F. Svaiter},
37025  title         = {A New Projection Method for Variational Inequality Problems},
37026  journal       = {SIAM Journal on Control and Optimization},
37027  volume        = {37},
37028  pages         = {765--776},
37029  year          = {1999}
37030}
37031
37032@Article{         solodov.tseng:modified,
37033  author        = {M. V. Solodov and P. Tseng},
37034  title         = {Modified Projection--Type Methods for Monotone Variational Inequalities},
37035  year          = {1996},
37036  journal       = {SIAM Journal on Control and Optimization},
37037  pages         = {1814--1830},
37038  volume        = {34}
37039}
37040
37041@Article{         solodov:stationary,
37042  author        = {M. V. Solodov},
37043  title         = {Stationary Points of Bound Constrained Minimization Reformulations of
37044                  Complementarity Problems},
37045  journal       = {Journal of Optimization Theory and Applications, forthcoming},
37046  year          = {1997}
37047}
37048
37049@Article{         spendley.hext.ea:sequential,
37050  author        = {W. Spendley and G. R. Hext and F. R. Himsworth},
37051  title         = {Sequential Application of Simplex Designs in Optimization and Evolutionary
37052                  Operation},
37053  journal       = {Technometrics},
37054  year          = {1962},
37055  pages         = {441--461},
37056  volume        = {4}
37057}
37058
37059@Article{         spingarn:applications,
37060  author        = {J. E. Spingarn},
37061  title         = {Applications of the Method of Partial Inverses to Convex Programming},
37062  journal       = {Mathematical Programming},
37063  year          = {1985},
37064  volume        = {32},
37065  pages         = {199--223}
37066}
37067
37068@Book{            srinivasan.whalley:general,
37069  author        = {T. Srinivasan and J. Whalley},
37070  title         = {General Equilibrium Trade Policy Modelling},
37071  publisher     = {MIT Press},
37072  year          = {1986},
37073  address       = {Boston}
37074}
37075
37076@Book{            stackelberg:theory,
37077  author        = {H. Van Stackelberg},
37078  title         = {The Theory of Market Economy},
37079  publisher     = {Oxford University Press},
37080  year          = {1952}
37081}
37082
37083@Article{         stavroulakis.panagiotopoulos.ea:rigid,
37084  author        = {G. E. Stavroulakis and P. D. Panagiotopoulos and A. M. Al-Fahed},
37085  title         = {On the Rigid Body Displacements and Rotations in Unilateral Contact Problems and
37086                  Applications},
37087  journal       = {Computers \& Structures},
37088  volume        = {40},
37089  year          = {1991},
37090  pages         = {599--614}
37091}
37092
37093@Article{         stavroulakis:optimal,
37094  author        = {G. E. Stavroulakis},
37095  title         = {Optimal prestress of cracked unilateral structures: finite element analysis of an
37096                  optimal control problem for variational inequalities},
37097  journal       = {Computer Methods in Applied Mechanics and Engineering, forthcoming},
37098  year          = {1996}
37099}
37100
37101@Article{         stavroulakis:optimal*1,
37102  author        = {G. E. Stavroulakis},
37103  title         = {Optimal prestress of structures with frictional unilateral contact interfaces},
37104  journal       = {Archives of Applied Mechanics, forthcoming},
37105  year          = {1996}
37106}
37107
37108@Book{            steenbrink:optimization,
37109  author        = {P. A. Steenbrink},
37110  title         = {Optimization of Transport Networks},
37111  publisher     = {John Wiley \& Sons},
37112  address       = {London, England},
37113  year          = {1974}
37114}
37115
37116@Article{         stephens:asymptotic,
37117  author        = {M. A. Stephens},
37118  title         = {Asymptotic Results for Goodness-of-Fit Statistics with Unknown Parameters},
37119  journal       = {Annals of Statistics},
37120  year          = {1976},
37121  volume        = {4},
37122  pages         = {357--369}
37123}
37124
37125@Article{         stephens:edf,
37126  author        = {M. A. Stephens},
37127  title         = {{EDF} Statistics for Goodness of Fit and Some Comparisons},
37128  journal       = {Journal of the American Statistical Association},
37129  year          = {1974},
37130  volume        = {69},
37131  pages         = {730--737}
37132}
37133
37134@Article{         stevens:location,
37135  author        = {B. H. Stevens},
37136  title         = {Location Theory and Programming Models: The Von Th{\"{u}}nen case},
37137  journal       = {Papers of the Regional Science Association},
37138  year          = {1968},
37139  volume        = {21},
37140  pages         = {19--34}
37141}
37142
37143@Article{         stewart.trinkle:implicit,
37144  author        = {D. E. Stewart and J. C. Trinkle},
37145  title         = {An Implicit Time-Stepping Scheme for Rigid Body Dynamics with Inelastic
37146                  Collisions and {C}oulomb Friction},
37147  journal       = {International Journal for Numerical Methods in Engineering},
37148  year          = {1996},
37149  volume        = {39},
37150  pages         = {2673--2691}
37151}
37152
37153@Book{            stoer.bulirsch:introduction,
37154  author        = {J. Stoer and R. Bulirsch},
37155  title         = {Introduction to Numerical Analysis},
37156  year          = {1980},
37157  publisher     = {Springer-Verlag},
37158  address       = {New York}
37159}
37160
37161@Article{         stoer:complexity,
37162  author        = {J. Stoer},
37163  title         = {The complexity of an infeasible interior--point path--following method for the
37164                  solution of linear programs},
37165  journal       = {Optimization Methods and Software},
37166  year          = {1994},
37167  volume        = {3},
37168  pages         = {1--12}
37169}
37170
37171@Article{         stone:cross-validatory,
37172  author        = {M. Stone},
37173  title         = {Cross-validatory choice and assessment of statistical predictions},
37174  journal       = {Journal of the Royal Statistical Society},
37175  year          = {1974},
37176  volume        = {36},
37177  pages         = {111--147}
37178}
37179
37180@Article{         stone.smith.ea:inverse,
37181  author        = {R. A. Stone and V. Smith and L. Verhey},
37182  title         = {Inverse Planning for the {G}amma {K}nife},
37183  journal       = {Medical Physics},
37184  year          = {1993},
37185  volume        = {20},
37186  pages         = {865}
37187}
37188
37189@Book{            strang:linear,
37190  author        = {G. Strang},
37191  title         = {Linear Algebra and its Applications},
37192  year          = {1980},
37193  publisher     = {Academic Press},
37194  address       = {New York},
37195  edition       = {Second}
37196}
37197
37198@InProceedings{   street.wolberg.ea:nuclear,
37199  author        = {W. N. Street and W. H. Wolberg and O. L. Mangasarian},
37200  title         = {Nuclear Feature Extraction for Breast Tumor Diagnosis},
37201  booktitle     = {Biomedical Image Processing and Biomedical Visualization},
37202  year          = {1993},
37203  publisher     = {SPIE--The International Society for Optical Engineering},
37204  address       = {San Jose, California},
37205  pages         = {861--870},
37206  volume        = {1905}
37207}
37208
37209@Article{         subramanian:gauss-newton,
37210  author        = {P. K. Subramanian},
37211  title         = {Gauss--{N}ewton Methods for the Complementarity Problem},
37212  journal       = {Journal of Optimization Theory and Applications},
37213  year          = {1993},
37214  volume        = {77},
37215  pages         = {467--482}
37216}
37217
37218@PhDThesis{       subramanian:iterative,
37219  author        = {P. K. Subramanian},
37220  title         = {Iterative Methods of Solution for Complementarity Problems},
37221  year          = {1985},
37222  address       = {Madison, Wisconsin},
37223  school        = {Computer Sciences Department, University of Wisconsin}
37224}
37225
37226@TechReport{      subramanian:note,
37227  author        = {P. K. Subramanian},
37228  title         = {A Note on Least Two Norm Solutions of Monotone Complementarity Problems},
37229  institution   = {Mathematics Research Center, University of Wisconsin--Madison},
37230  year          = {1985},
37231  address       = {Madison, Wisconsin},
37232  number        = {2844},
37233  type          = {Technical Summary Report}
37234}
37235
37236@TechReport{      suh.gucht:distributed,
37237  author        = {J. Y. Suh and D. Van Gucht},
37238  title         = {Distributed Genetic Algorithms},
37239  institution   = {Computer Science Department, Indiana University},
37240  year          = {1987},
37241  address       = {Bloomington},
37242  number        = {225}
37243}
37244
37245@Article{         sun.natori.ea:computational,
37246  author        = {S. M. Sun and M. C. Natori and K. C. Park},
37247  title         = {A Computational Procedure for Flexible Beams with Frictional Contact
37248                  Constraints},
37249  journal       = {International Journal for Numerical Methods in Engineering},
37250  volume        = {36},
37251  pages         = {3781--3800},
37252  year          = {1993}
37253}
37254
37255@Article{         sun.qi:ncp-functions,
37256  author        = {D. Sun and L. Qi},
37257  title         = {On {NCP}-Functions},
37258  journal       = {Computational Optimization and Applications, forthcoming},
37259  year          = {1998}
37260}
37261
37262@Article{         sun.womersley:unconstrained,
37263  author        = {D. Sun and R. S. Womersley},
37264  title         = {A new unconstrained differentiable merit function for box constrained variational
37265                  inequality problems and a damped {G}auss-{N}ewton method},
37266  journal       = {SIAM Journal on Optimization},
37267  year          = {1999},
37268  volume        = {9},
37269  pages         = {388--413}
37270}
37271
37272@Article{         sun:class,
37273  author        = {D. Sun},
37274  title         = {A Class of Iterative Methods for Nonlinear Projection Equations},
37275  journal       = {Journal of Optimization Theory and Applications},
37276  year          = {1996},
37277  volume        = {91},
37278  pages         = {123--140}
37279}
37280
37281@PhDThesis{       sun:monotropic,
37282  author        = {J. Sun},
37283  title         = {On Monotropic Piecewise Quadratic Programming},
37284  school        = {University of Washington},
37285  year          = {1986},
37286  address       = {Seattle, Washington}
37287}
37288
37289@Article{         sun:thermal,
37290  author        = {D. C. Sun},
37291  title         = {A Thermal Elastic Theory of Piston-Ring and Cylinder-Bore Contact},
37292  journal       = {Journal of Applied Mechanics},
37293  volume        = {58},
37294  pages         = {141--153},
37295  year          = {1991}
37296}
37297
37298@Article{         sundararaghavan.ahmed:minimizing,
37299  author        = {P. S. Sundararaghavan and M. U. Ahmed},
37300  title         = {Minimizing the Sum of Absolute Lateness in Single--Machine and Multimachine
37301                  Scheduling},
37302  journal       = {Naval Research Logistics Quarterly},
37303  year          = {1984},
37304  volume        = {31},
37305  pages         = {325--333}
37306}
37307
37308@TechReport{      sznajder.gowda:generalizations,
37309  author        = {R. Sznajder and M. S. Gowda},
37310  title         = {Generalizations of ${P}_0$-- and ${P}$-- properties; extended vertical and
37311                  horizontal {LCP}s},
37312  institution   = {Department of Mathematics, University of Maryland--Baltimore County},
37313  year          = {1992},
37314  address       = {Catonsville, Maryland},
37315  number        = {92--16},
37316  type          = {Research Report}
37317}
37318
37319@Article{         sznajder.gowda:nondegeneracy,
37320  author        = {R. Sznajder and M. S. Gowda},
37321  title         = {Nondegeneracy Concepts for Zeros of Piecewise Smooth Functions},
37322  journal       = {Mathematics of Operations Research},
37323  year          = {1998},
37324  volume        = {23},
37325  pages         = {221--238}
37326}
37327
37328@Article{         taji.fukushima.ea:globally,
37329  author        = {K. Taji and M. Fukushima and T. Ibaraki},
37330  title         = {A Globally Convergent {N}ewton Method for Solving Strongly Monotone Variational
37331                  Inequalities},
37332  journal       = {Mathematical Programming},
37333  year          = {1993},
37334  volume        = {58},
37335  pages         = {369--383}
37336}
37337
37338@Article{         taji.fukushima:optimization,
37339  author        = {K. Taji and M. Fukushima},
37340  title         = {Optimization Based Globally Convergent Methods for the Nonlinear Complementarity
37341                  Problem},
37342  journal       = {Journal of the Operations Research Society of Japan},
37343  year          = {1994},
37344  volume        = {37},
37345  pages         = {310--331}
37346}
37347
37348@Article{         talbot.patterson.ea:comparative,
37349  author        = {F. B. Talbot and J. H. Patterson and W. V. Gehrlein},
37350  title         = {A Comparative Evaluation of Heuristic Line Balancing Techniques},
37351  journal       = {Management Science},
37352  year          = {1986},
37353  volume        = {32},
37354  pages         = {430--454}
37355}
37356
37357@Article{         talman.yamamoto:simplicial,
37358  author        = {A. J. J. Talman and Y. Yamamoto},
37359  title         = {A {S}implicial Algorithm for Stationary Point Problems},
37360  journal       = {Mathematics of Operations Research},
37361  year          = {1989},
37362  volume        = {14},
37363  pages         = {383--399}
37364}
37365
37366@InProceedings{   tanese:distributed,
37367  crossref      = {schaeffer:third},
37368  author        = {R. Tanese},
37369  title         = {Distributed Genetic Algorithms},
37370  pages         = {434--439}
37371}
37372
37373@InProceedings{   tanese:parallel,
37374  crossref      = {grefenstette:genetic},
37375  author        = {R. Tanese},
37376  title         = {Parallel Genetic Algorithms for a Hypercube},
37377  pages         = {177--183}
37378}
37379
37380@Article{         teboulle:entropic,
37381  author        = {M. Teboulle},
37382  title         = {Entropic Proximal Mappings with Applications to Nonlinear Programming},
37383  year          = {1992},
37384  journal       = {Mathematics of Operations Research},
37385  volume        = {17},
37386  pages         = {670--690}
37387}
37388
37389@Article{         thuente:duality,
37390  author        = {D. J. Thuente},
37391  title         = {Duality Theory for Generalized Linear Programs with Computational Methods},
37392  journal       = {Operations Research},
37393  year          = {1980},
37394  volume        = {28},
37395  pages         = {1005--1011}
37396}
37397
37398@Book{            tikhonov.arsenin:solutions,
37399  author        = {A. N. Tikhonov and V. Y. Arsenin},
37400  title         = {Solutions of Ill--Posed Problems},
37401  year          = {1977},
37402  publisher     = {John Wiley \& Sons},
37403  address       = {New York}
37404}
37405
37406@InProceedings{   tin-loi.ferris:complementarity,
37407  author        = {F. Tin-Loi and M. C. Ferris},
37408  title         = {Complementarity Problems in Engineering and Mechanics: Models and Solution},
37409  booktitle     = {Computational Mechanics for the Next Millenium},
37410  key           = {79},
37411  pages         = {1029--1036},
37412  year          = {1999},
37413  editor        = {C. M. Wang and K. H. Lee and K. K. Ang},
37414  volume        = {2},
37415  series        = {Proceedings of APCOM '99, Fourth Asia-Pacific Conference on Computational
37416                  Mechanics},
37417  url           = {ftp: //ftp.cs.wisc.edu/math-prog/tech-reports/99-02.ps},
37418  publisher     = {Elsevier Science Ltd},
37419  type          = {Mathematical Programming Technical Report},
37420  institution   = {Computer Sciences Department, University of Wisconsin},
37421  address       = {Madison, Wisconsin},
37422  number        = {99-02}
37423}
37424
37425@InProceedings{   tin-loi.ferris:holonomic,
37426  author        = {F. Tin-Loi and M. C. Ferris},
37427  title         = {Holonomic Analysis of Quasibrittle Fracture with Nonlinear Softening},
37428  booktitle     = {Advances in Fracture Research},
37429  year          = {1997},
37430  editor        = {B. L. Karihaloo and Y. W. Mai and M. I. Ripley and R. O. Ritchie},
37431  volume        = {2},
37432  publisher     = {Pergamon Press},
37433  pages         = {2183--2190},
37434  key           = {53}
37435}
37436
37437@InProceedings{   tin-loi.ferris:simple,
37438  author        = {F. Tin-Loi and M. C. Ferris},
37439  title         = {A Simple Mathematical Programming Method for a Structural Identification
37440                  Problem},
37441  booktitle     = {Seventh International Conference on Computing in Civil and Building Engineering
37442                  (ICCCBE-VII), Seoul, Korea, 19-21 August},
37443  editors       = {C. K. Choi and C. B. Yun and H. G. Kwak},
37444  publisher     = {Techno-Press},
37445  address       = {Korea},
37446  year          = {1997},
37447  pages         = {511--518},
37448  key           = {59}
37449}
37450
37451@Article{         tin-loi.misa:large,
37452  author        = {F. Tin-Loi and J. S. Misa},
37453  title         = {Large displacement elastoplastic analysis of semirigid steel frames},
37454  journal       = {International Journal for Numerical Methods in Engineering},
37455  volume        = {39},
37456  pages         = {741--762},
37457  year          = {1996}
37458}
37459
37460@Article{         tin-loi.pang:elastoplastic,
37461  author        = {F. Tin-Loi and J. S. Pang},
37462  title         = {Elastoplastic analysis of structures with nonlinear hardening},
37463  journal       = {Computer Methods in Applied Mechanics and Engineering},
37464  volume        = {107},
37465  year          = {1993},
37466  pages         = {299--312}
37467}
37468
37469@Article{         tin-loi.vimonsatit:nonlinear,
37470  author        = {F. Tin-Loi and V. Vimonsatit},
37471  title         = {Nonlinear Analysis of Semi-Rigid Frames: a Parametric Complementarity Approach},
37472  journal       = {Engineering Structures},
37473  volume        = {18},
37474  year          = {1996},
37475  pages         = {115--124}
37476}
37477
37478@Article{         tobin:uniqueness,
37479  author        = {R. L. Tobin},
37480  title         = {Uniqueness results and algorithm for Stackelberg-Cournot-Nash equilibria},
37481  journal       = {Annals of Operations Research},
37482  volume        = {34},
37483  year          = {1992},
37484  pages         = {21--36}
37485}
37486
37487@Article{         tobin:variable,
37488  author        = {R. L. Tobin},
37489  title         = {A Variable Dimension Solution Approach for the General Spatial Equilibrium
37490                  Problem},
37491  journal       = {Mathematical Programming},
37492  year          = {1988},
37493  volume        = {40},
37494  pages         = {33--51}
37495}
37496
37497@Article{         todd.burrell:extension,
37498  author        = {M. J. Todd and B. P. Burrell},
37499  title         = {An Extension of {K}armarkar's Algorithm for Linear Programming Using Dual
37500                  Variables},
37501  journal       = {Algorithmica},
37502  year          = {1986},
37503  volume        = {1},
37504  pages         = {409--424}
37505}
37506
37507@Book{            todd:computation,
37508  author        = {M. J. Todd},
37509  title         = {Computation of Fixed Points and Applications},
37510  publisher     = {Springer-Verlag},
37511  year          = {1976},
37512  volume        = {124},
37513  series        = {Lecture Notes in Economics and Mathematical Systems},
37514  address       = {Heidelberg}
37515}
37516
37517@Article{         todd:note,
37518  author        = {M. J. Todd},
37519  title         = {A Note on Computing Equilibria in Economies with Activity Analysis Models of
37520                  Production},
37521  journal       = {Journal of Mathematical Economics},
37522  year          = {1976},
37523  volume        = {6},
37524  pages         = {135--144}
37525}
37526
37527@Article{         toint:assesment,
37528  author        = {Ph. L. Toint},
37529  title         = {An Assesment of Non--Monotone Linesearch Techniques for Unconstrained
37530                  Optimization},
37531  year          = {1996},
37532  journal       = {SIAM Journal on Scientific Computing},
37533  volume        = {17},
37534  pages         = {725=-739}
37535}
37536
37537@TechReport{      toint:assesment*1,
37538  author        = {Ph. L. Toint},
37539  title         = {An Assesment of Non--Monotone Linesearch Techniques for Unconstrained
37540                  Optimization: The Complete Numerical Results},
37541  institution   = {Department of Mathematics, FUNDP},
37542  year          = {1994},
37543  number        = {94/15},
37544  address       = {Namur, Belgium}
37545}
37546
37547@Article{         toint:global,
37548  author        = {Ph. L. Toint},
37549  title         = {Global Convergence of a Class of Trust Region Methods for Nonconvex Minimization
37550                  in a {H}ilbert Space},
37551  journal       = {IMA Journal of Numerical Analysis},
37552  year          = {1988},
37553  volume        = {8},
37554  pages         = {231--252}
37555}
37556
37557@Article{         toint:non-monotone,
37558  author        = {Ph. L. Toint},
37559  title         = {A Non--Monotone Trust--Region Algorithm for Nonlinear Optimization subject to
37560                  Convex Constraints},
37561  year          = {1997},
37562  journal       = {Mathematical Programming},
37563  volume        = {77},
37564  pages         = {69--94}
37565}
37566
37567@InCollection{    toint:transportation,
37568  author        = {Ph. L. Toint},
37569  title         = {Transportation Modelling and Operations Research: {A} Fruitful Connection},
37570  booktitle     = {Operations Research and Decision Aid Methodologies in Traffic and Transportation
37571                  Management},
37572  publisher     = {Springer-Verlag},
37573  series        = {NATO ASI Series F},
37574  year          = {1997},
37575  editor        = {Ph. L. Toint and M. Labbe and K. Tanczos and G. Laporte}
37576}
37577
37578@Article{         tomlin.welch:finding,
37579  author        = {J. Tomlin and J. Welch},
37580  title         = {Finding Duplicate Rows in a Linear Programming Model},
37581  journal       = {Operations Research Letters},
37582  year          = {1986},
37583  volume        = {5},
37584  number        = {1},
37585  pages         = {7--11}
37586}
37587
37588@Article{         torczon:convergence,
37589  author        = {V. Torczon},
37590  title         = {On the Convergence of the Multidirectional Search Algorithm},
37591  journal       = {SIAM Journal on Optimization},
37592  year          = {1991},
37593  volume        = {1},
37594  pages         = {123--145}
37595}
37596
37597@Article{         torczon:convergence*1,
37598  author        = {V. Torczon},
37599  title         = {On the Convergence of Pattern Search Algorithms},
37600  journal       = {SIAM Journal on Optimization},
37601  year          = {1997},
37602  volume        = {7},
37603  pages         = {1--25}
37604}
37605
37606@Misc{            torma.rutherford:general,
37607  author        = {H. Torma and T. Rutherford},
37608  title         = {A General Equilibrium Assessment of {F}inland's Grand Tax Reform},
37609  year          = {1992},
37610  howpublished  = {Working Paper 15/1992},
37611  note          = {Department of Economics and Management, University of Jyvaskyla, Finland}
37612}
37613
37614@Article{         trinkle.pang.ea:dynamic,
37615  author        = {J. C. Trinkle and J. S. Pang and S. Sudarsky and G. Lo},
37616  title         = {On Dynamic Multi-Rigid-Body Contact Problems},
37617  journal       = {Zeitschrift f{\"{u}}r Angewandte Mathematik und Mechanik},
37618  year          = {1997},
37619  pages         = {267--279},
37620  volume        = {77}
37621}
37622
37623@InProceedings{   trinkle.pang:dynamic,
37624  author        = {J. C. Trinkle and J. S. Pang},
37625  title         = {Dynamic multi-rigid-body systems with concurrent distributed contacts friction},
37626  book          = {{IEEE} International Conference on Robotics and Automation},
37627  pages         = {2276--2281},
37628  year          = {1997}
37629}
37630
37631@TechReport{      tseng.bertsekas:convergence,
37632  author        = {P. Tseng and D. P. Bertsekas},
37633  title         = {On the Convergence of the Exponential Multiplier Method for Convex Programming},
37634  institution   = {Laboratory for Information and Decision Systems, Massachusetts Institute of
37635                  Technology},
37636  year          = {1990},
37637  type          = {technical report},
37638  number        = {LIDS-P-1995},
37639  address       = {Cambridge, MA}
37640}
37641
37642@Article{         tseng.yamashita.ea:equivalence,
37643  author        = {P. Tseng and N. Yamashita and M. Fukushima},
37644  title         = {Equivalence of Complementarity Problems to Differentiable Minimization: a Unified
37645                  Approach},
37646  year          = {1996},
37647  journal       = {SIAM Journal on Optimization},
37648  volume        = {6},
37649  pages         = {446--460}
37650}
37651
37652@Article{         tseng:applications,
37653  author        = {P. Tseng},
37654  title         = {Applications of a splitting algorithm to decomposition in convex programming and
37655                  variational inequalities},
37656  journal       = {SIAM Journal on Control and Optimization},
37657  year          = {1991},
37658  volume        = {29},
37659  pages         = {119--138}
37660}
37661
37662@Article{         tseng:dual,
37663  author        = {P. Tseng},
37664  title         = {Dual Ascent Methods for Problems with Strictly Convex Costs and Linear
37665                  Constraints: a Unified Approach},
37666  journal       = {SIAM Journal on Control and Optimization},
37667  year          = {1990},
37668  volume        = {28},
37669  pages         = {214--242}
37670}
37671
37672@Article{         tseng:dual*1,
37673  author        = {P. Tseng},
37674  title         = {Dual Ascent Methods with Strictly Convex Costs and Linear Constraints: {A}
37675                  Unified Approach},
37676  journal       = {SIAM Journal on Control and Optimization},
37677  year          = {1990},
37678  volume        = {28},
37679  pages         = {214--242}
37680}
37681
37682@Article{         tseng:dual*2,
37683  author        = {P. Tseng},
37684  title         = {Dual Coordinate Ascent Methods for Non--Strictly Convex Minimization},
37685  journal       = {Mathematical Programming},
37686  year          = {1993},
37687  volume        = {59},
37688  pages         = {231--248}
37689}
37690
37691@Article{         tseng:fortified-descent,
37692  author        = {P. Tseng},
37693  title         = {Fortified-Descent Simplicial Search Method: a General Approach},
37694  journal       = {SIAM Journal on Optimization},
37695  volume        = {10},
37696  pages         = {269--288},
37697  year          = {2000}
37698}
37699
37700@Article{         tseng:growth,
37701  author        = {P. Tseng},
37702  title         = {Growth Behavior of a Class of Merit Functions for the Nonlinear Complementarity
37703                  Problem},
37704  journal       = {Journal of Optimization Theory and Applications},
37705  volume        = {89},
37706  year          = {1996},
37707  pages         = {17--37}
37708}
37709
37710@Unpublished{     tseng:matlab,
37711  author        = {P. Tseng},
37712  title         = {Matlab Implementations of Complementarity Codes},
37713  year          = {1995},
37714  note          = {Private Communication}
37715}
37716
37717@Article{         ursescu:multifunctions,
37718  author        = {C. Ursescu},
37719  title         = {Multifunctions with closed convex graph},
37720  journal       = {Czech. Math. J.},
37721  year          = {1975},
37722  volume        = {35},
37723  pages         = {438--441}
37724}
37725
37726@TechReport{      vaidya:algorithm,
37727  author        = {P. M. Vaidya},
37728  title         = {An Algorithm for Linear Programming which Requires
37729                  {O}($((m+n)n^2+(m+n)^{1.5})${L}) arithmetic operations},
37730  institution   = {AT\&T Bell Laboratories},
37731  year          = {1987},
37732  address       = {Murray Hill, New Jersey}
37733}
37734
37735@Article{         val:unloading,
37736  author        = {P. Du Val},
37737  title         = {The Unloading Problem for Plane Curves},
37738  journal       = {American Journal of Mathematics},
37739  year          = {1940},
37740  volume        = {62},
37741  pages         = {307--311}
37742}
37743
37744@InCollection{    valentine:problem,
37745  author        = {F. A. Valentine},
37746  title         = {The Problem of {L}agrange with Differential Inequalities as Added Side
37747                  Conditions},
37748  booktitle     = {Contributions to the Calculus of Variations, 1933--1937},
37749  year          = {1937},
37750  publisher     = {University of Chicago Press},
37751  address       = {Chicago},
37752  pages         = {407--448}
37753}
37754
37755@Article{         valle.poch.ea:comparison,
37756  author        = {M. del Valle and M. Poch and J. Alonso and J. Bartroli},
37757  title         = {Comparison of the {P}owell and Simplex Methods in the Optimization of
37758                  Flow-Injection Systems},
37759  journal       = {Analytica Chimica Acta},
37760  year          = {1990},
37761  volume        = {241},
37762  pages         = {31--42}
37763}
37764
37765@Article{         vandenberghe.demoor.ea:generalized,
37766  author        = {L. Vandenberghe and B. L. {De~Moor} and J. Vandewalle},
37767  title         = {The generalized linear complementarity problem applied to the complete analysis
37768                  of resistive piecewise-linear circuits},
37769  journal       = {IEEE Transactions on Circuits and Systems},
37770  volume        = {36},
37771  year          = {1989},
37772  pages         = {1382--1391}
37773}
37774
37775@Article{         vanderbei.meketon.ea:modification,
37776  author        = {R. J. Vanderbei and M. S. Meketon and B. A. Freedman},
37777  title         = {A Modification of {K}armarkar's Algorithm},
37778  journal       = {Algorithmica},
37779  year          = {1986},
37780  volume        = {1},
37781  pages         = {395--407}
37782}
37783
37784@Article{         vanderbei:affine-scaling,
37785  author        = {R. J. Vanderbei},
37786  title         = {Affine--Scaling for Linear Programs with Free Variables},
37787  journal       = {Mathematical Programming},
37788  year          = {1989},
37789  volume        = {43},
37790  pages         = {31--44}
37791}
37792
37793@Article{         vanroy.wolsey:solving,
37794  author        = {T. J. Van~Roy and L. A. Wolsey},
37795  title         = {Solving Mixed Integer 0-1 Programs by Automatic Reformulation},
37796  journal       = {Operations Research},
37797  volume        = {35},
37798  pages         = {45--57},
37799  year          = {1987}
37800}
37801
37802@Book{            vapnik:nature,
37803  author        = {V. N. Vapnik},
37804  title         = {The Nature of Statistical Learning Theory},
37805  publisher     = {John Wiley \& Sons},
37806  address       = {New York},
37807  year          = {1996}
37808}
37809
37810@Book{            varian:microeconomic,
37811  author        = {Hal R. Varian},
37812  title         = {Microeconomic Analysis},
37813  year          = {1978},
37814  publisher     = {W.W. Norton \& Company},
37815  address       = {New York, New York}
37816}
37817
37818@Article{         verhey:immobilizing,
37819  author        = {L. J. Verhey},
37820  title         = {Immobilizing and Positioning Patients for Radiotherapy},
37821  journal       = {Seminars in Radiation Oncology},
37822  year          = {1995},
37823  volume        = {5},
37824  number        = {2},
37825  pages         = {100--113}
37826}
37827
37828@Article{         vinante.pintos:differentiable,
37829  author        = {C. Vinante and S. Pintos},
37830  title         = {On Differentiable Exact Penalty Functions},
37831  journal       = {Journal of Optimization Theory and Applications},
37832  year          = {1986},
37833  volume        = {50},
37834  pages         = {479--493}
37835}
37836
37837@Article{         vlach:scheduling,
37838  author        = {M. Vlach},
37839  title         = {On Scheduling with Earliness and Tardiness Penalties},
37840  journal       = {Methods of Operations Research},
37841  year          = {1983},
37842  volume        = {45},
37843  pages         = {367--375}
37844}
37845
37846@InCollection{    wacker:summary,
37847  author        = {H.--J. Wacker},
37848  title         = {A Summary of the Developments on Imbedding Methods},
37849  booktitle     = {Continuation Methods},
37850  year          = {1978},
37851  editor        = {H.--J. Wacker},
37852  publisher     = {Academic Press},
37853  address       = {New York},
37854  pages         = {1--35}
37855}
37856
37857@Article{         wakefield.tin-loi:large,
37858  author        = {R. R. Wakefield and F. Tin-Loi},
37859  title         = {Large Scale Nonholonomic Elastoplastic Analysis using a Linear Complementarity
37860                  Formulation},
37861  journal       = {Computer Methods in Applied Mechanics and Engineering},
37862  volume        = {84},
37863  year          = {1990},
37864  pages         = {229--242}
37865}
37866
37867@Article{         wakefield.tin-loi:large*1,
37868  author        = {R. R. Wakefield and F. Tin-Loi},
37869  title         = {Large Displacement Elastoplastic Analysis of Frames using an Iterative {LCP}
37870                  Approach},
37871  journal       = {International Journal Mechanical Science},
37872  volume        = {33},
37873  year          = {1991},
37874  pages         = {379--391}
37875}
37876
37877@Article{         walker:implementation,
37878  author        = {H. F. Walker},
37879  title         = {Implementation of the {GMRES} method using {H}ouseholder transformations},
37880  journal       = {SIAM Journal on Scientific Computing},
37881  volume        = {9},
37882  year          = {1988},
37883  pages         = {152--163}
37884}
37885
37886@Book{            wall.schwartz:programming,
37887  author        = {L. Wall and R. L. Schwartz},
37888  title         = {Programming Perl},
37889  publisher     = {O'Reilly and Associates, Inc.},
37890  address       = {Sebastopol, CA},
37891  year          = {1991}
37892}
37893
37894@Book{            walras:elements,
37895  author        = {L. Walras},
37896  title         = {Elements of Pure Economics},
37897  publisher     = {Allen and Unwin},
37898  year          = {1954},
37899  address       = {London}
37900}
37901
37902@Article{         wang.monteiro.ea:interior,
37903  author        = {T. Wang and R. D. C. Monteiro and J. S. Pang},
37904  title         = {An Interior Point Potential Reduction Method for Constrained Equations},
37905  journal       = {Mathematical Programming},
37906  volume        = {74},
37907  pages         = {159--196},
37908  year          = {1996}
37909}
37910
37911@Article{         wardi:stochastic,
37912  author        = {Y. Wardi},
37913  title         = {A Stochastic Steepest-Descent Algorithm},
37914  journal       = {Journal of Optimization Theory and Applications},
37915  year          = {1988},
37916  volume        = {59},
37917  pages         = {307--323}
37918}
37919
37920@Article{         wardi:stochastic*1,
37921  author        = {Y. Wardi},
37922  title         = {Stochastic Algorithms for with {A}rmijo Stepsizes for Minimization of Functions},
37923  journal       = {Journal of Optimization Theory and Applications},
37924  year          = {1990},
37925  volume        = {64},
37926  pages         = {399--417}
37927}
37928
37929@Article{         wardrop:theoretical,
37930  author        = {J. G. Wardrop},
37931  title         = {Some Theoretical Aspects of Road Traffic Research},
37932  journal       = {Proceeding of the Institute of Civil Engineers, Part {II}},
37933  year          = {1952},
37934  pages         = {325--378}
37935}
37936
37937@Article{         warga:minimizing,
37938  author        = {J. Warga},
37939  title         = {Minimizing certain convex functions},
37940  journal       = {Journal of SIAM on Applied Mathematics},
37941  year          = {1963},
37942  volume        = {11},
37943  pages         = {588--593}
37944}
37945
37946@Article{         watson.billups.ea:hompack,
37947  author        = {L. T. Watson and S. C. Billups and A. P. Morgan},
37948  title         = {Algorithm 652: {HOMPACK}: {A} Suite of Codes for Globally Convergent Homotopy
37949                  Algorithms},
37950  journal       = {{ACM} Transactions on Mathematical Software},
37951  year          = {1987},
37952  volume        = {13},
37953  pages         = {281--310}
37954}
37955
37956@Article{         watson.billups.ea:slow,
37957  author        = {L. T. Watson and S. C. Billups and C. Y. Wang},
37958  title         = {Slow Viscous Flow in a Syringe},
37959  journal       = {Journal of Biomechanical Engineering},
37960  year          = {1986},
37961  volume        = {108},
37962  pages         = {317--323}
37963}
37964
37965@Article{         watson:discrete,
37966  author        = {G. A. Watson},
37967  title         = {Discrete $\ell_1$ approximation by rational functions},
37968  journal       = {IMA Journal of Numerical Analysis},
37969  year          = {1984},
37970  volume        = {4},
37971  pages         = {275--288}
37972}
37973
37974@Article{         watson:solving,
37975  author        = {L. T. Watson},
37976  title         = {Solving the nonlinear complementarity problem by a homotopy method},
37977  journal       = {SIAM Journal on Control and Optimization},
37978  year          = {1979},
37979  volume        = {17},
37980  pages         = {36--46}
37981}
37982
37983@Article{         webb:optimum,
37984  author        = {S. Webb},
37985  title         = {Optimum Parameters in a Model of Tumor Control Probability including Interpatient
37986                  Heterogeneity},
37987  journal       = {Physics in Medicine and Biology},
37988  year          = {1994},
37989  volume        = {39},
37990  pages         = {1895--1914}
37991}
37992
37993@Book{            webb:physics,
37994  author        = {S. Webb},
37995  title         = {The Physics of Conformal Radiotherapy: Advances in Technology},
37996  publisher     = {Institute of Physics Publishing Ltd.},
37997  year          = {1997},
37998  optaddress    = {Philadelphia}
37999}
38000
38001@InBook{          webb:theory,
38002  author        = {S. Webb},
38003  editor        = {E. Sternick},
38004  title         = {The Theory and Practice of Intensity Modulated Radiation Therapy},
38005  chapter       = {Inverse Planning for IMRT: the Role of Simulated Annealing},
38006  publisher     = {Advanced Medical Publishing},
38007  year          = {1997}
38008}
38009
38010@Book{            weiss.kulikowski:computer,
38011  author        = {S. M. Weiss and C. A. Kulikowski},
38012  title         = {Computer Systems that Learn},
38013  year          = {1991},
38014  publisher     = {Morgan Kaufmann Publishers, Inc},
38015  address       = {San Mateo, California}
38016}
38017
38018@PhDThesis{       werbos:beyond,
38019  author        = {P. J. Werbos},
38020  title         = {Beyond Regression: New Tools for Prediction and Analysis in the Behaviorial
38021                  Sciences},
38022  year          = {1974},
38023  school        = {Harvard University}
38024}
38025
38026@InCollection{    wets:convergence,
38027  author        = {R. J.-B. Wets},
38028  title         = {Convergence of Convex Functions, Variational Inequalites, and Convex Optimization
38029                  Problems},
38030  booktitle     = {Variational Inequalites and Complementarity Problems},
38031  year          = {1980},
38032  editor        = {R. W. Cottle and F. Giannessi and J.--L. Lions},
38033  publisher     = {John Wiley \& Sons},
38034  address       = {New York},
38035  pages         = {375--403}
38036}
38037
38038@InCollection{    wets:large,
38039  author        = {R. J.-B. Wets},
38040  title         = {Large Scale Linear Programming Techniques in Stochastic Programming},
38041  booktitle     = {Numerical Techniques for Stochastic Optimization},
38042  publisher     = {Springer-Verlag},
38043  year          = {1988},
38044  editor        = {Yu. M. Ermoliev and R. J. -B. Wets},
38045  address       = {Berlin},
38046  pages         = {65--93}
38047}
38048
38049@Article{         white:asymptotic,
38050  author        = {H. White},
38051  title         = {Some asymptotic results for learning in single hidden-layer feedforward network
38052                  models},
38053  journal       = {Journal of the American Stattistical Association},
38054  year          = {1989},
38055  volume        = {84},
38056  number        = {408},
38057  pages         = {1003--1013}
38058}
38059
38060@Article{         white:learning,
38061  author        = {H. White},
38062  title         = {Learning in artificial neural networks{:} {A} statistical perspective},
38063  journal       = {Neural Computation},
38064  year          = {1989},
38065  volume        = {1},
38066  pages         = {425--461}
38067}
38068
38069@InProceedings{   whitley.starkweather.ea:scheduling,
38070  crossref      = {schaeffer:third},
38071  author        = {D. Whitley and T. Starkweather and D. Fuquay},
38072  title         = {Scheduling Problems and Travelling Salesmen: The Genetic Edge Recombination
38073                  Operator},
38074  pages         = {133--140}
38075}
38076
38077@Book{            williams:model,
38078  author        = {H. P. Williams},
38079  title         = {Model Building in Mathematical Programming},
38080  publisher     = {John Wiley \& Sons},
38081  year          = {1990},
38082  edition       = {Third}
38083}
38084
38085@Book{            wilmott.dewynne.ea:option,
38086  author        = {P. Wilmott and J. Dewynne and S. Howison},
38087  title         = {Option Pricing},
38088  publisher     = {Oxford Financial Press},
38089  year          = {1993},
38090  address       = {Oxford, England}
38091}
38092
38093@PhDThesis{       wilson:simplicial,
38094  author        = {R. B. Wilson},
38095  title         = {A Simplicial Algorithm for Concave Programming},
38096  year          = {1963},
38097  address       = {Boston, MA},
38098  school        = {Graduate School of Business Administration, Harvard University}
38099}
38100
38101@TechReport{      wolberg.bennett.ea:breast,
38102  author        = {W. H. Wolberg and K. P. Bennett and O. L. Mangasarian},
38103  title         = {Breast Cancer Diagnosis and Prognostic Determination from Cell Analysis},
38104  institution   = {Departments of Surgery and Human Oncology and Computer Sciences, University of
38105                  Wisconsin},
38106  year          = {1992},
38107  address       = {Madison, WI 53706},
38108  type          = {Manuscript}
38109}
38110
38111@Article{         wolberg.mangasarian:multisurface,
38112  author        = {W. H. Wolberg and O. L. Mangasarian},
38113  title         = {Multisurface Method of Pattern Separation for Medical Diagnosis Applied to Breast
38114                  Cytology},
38115  journal       = {Proceedings of the National Academy of Sciences,U.S.A.},
38116  year          = {1990},
38117  volume        = {87},
38118  pages         = {9193--9196}
38119}
38120
38121@Unpublished{     wolberg.mangasarian:wbcd,
38122  author        = {W. H. Wolberg and O. L. Mangasarian},
38123  title         = {{WBCD: Wisconsin Breast Cancer Database}},
38124  year          = {1991},
38125  note          = {Computer Sciences Department, University of Wisconsin, Madison, ftp: //ftp. cs.
38126                  wisc.edu/math-prog/cpo-dataset/machine-learn/cancer1/}
38127}
38128
38129@Article{         wolberg.street.ea:breast,
38130  author        = {W. H. Wolberg and W. N. Street and O. L. Mangasarian},
38131  title         = {Breast Cytology Diagnosis via Digital Image Analysis},
38132  journal       = {Analytical and Quantitative Cytology and Histology},
38133  year          = {1993},
38134  volume        = {15},
38135  number        = {6},
38136  pages         = {396--404}
38137}
38138
38139@Unpublished{     wolberg.street.ea:wdbc,
38140  author        = {W. H. Wolberg and W. N. Street and O. L. Mangasarian},
38141  title         = {{WDBC: Wisconsin Diagnostic Breast Cancer Database}},
38142  year          = {1995},
38143  note          = {Computer Sciences Department, University of Wisconsin, Madison, ftp: //ftp.
38144                  cs.wisc.edu/math-prog/cpo-dataset/machine-learn/WDBC/}
38145}
38146
38147@Unpublished{     wolberg.street.ea:wpbc,
38148  author        = {W. H. Wolberg and W. N. Street and O. L. Mangasarian},
38149  title         = {{WPBC: Wisconsin Prognostic Breast Cancer Database}},
38150  year          = {1995},
38151  note          = {Computer Sciences Department, University of Wisconsin, Madison, ftp: //ftp.
38152                  cs.wisc.edu/math-prog/cpo-dataset/machine-learn/WPBC/}
38153}
38154
38155@Book{            wolsey:integer,
38156  author        = {L. A. Wolsey},
38157  title         = {Integer Programming},
38158  publisher     = {John Wiley \& Sons},
38159  year          = {1998},
38160  address       = {New York, NY}
38161}
38162
38163@Article{         womersley:local,
38164  author        = {R. S. Womersley},
38165  title         = {Local Properties of Algorithms for Minimizing Composite Functions},
38166  journal       = {Mathematical Programming},
38167  year          = {1985},
38168  volume        = {32},
38169  pages         = {69--89}
38170}
38171
38172@Article{         woo.sanders.ea:peacock,
38173  author        = {S. Y. Woo and M. Sanders and W. Grant and E. B. Butler},
38174  title         = {Does the ``peacock'' have anything to do with radiotherapy?},
38175  journal       = {International Journal of Radiation Oncology, Biology and Physics},
38176  year          = {1994},
38177  volume        = {29},
38178  number        = {1},
38179  pages         = {213--214}
38180}
38181
38182@Article{         wright.ralph:superlinear,
38183  author        = {S. J. Wright and D. Ralph},
38184  title         = {A Superlinear Infeasible--Interior--Point Algorithm for Monotone Complementarity
38185                  Problems},
38186  year          = {1996},
38187  journal       = {Mathematics of Operations Research},
38188  volume        = {21},
38189  pages         = {815--838}
38190}
38191
38192@TechReport{      wright.zhang:superquadratic,
38193  author        = {S. J. Wright and Y. Zhang},
38194  title         = {A Superquadratic Infeasible--Interior--Point Method for linear complementarity
38195                  problems},
38196  institution   = {Argonne National Laboratory},
38197  year          = {1994},
38198  annote        = {revised},
38199  number        = {MCS--P418--0294},
38200  address       = {Argonne, Illinois},
38201  type          = {Preprint}
38202}
38203
38204@TechReport{      wright:dynfgm,
38205  author        = {S. E. Wright},
38206  title         = {{DYNFGM}: Dynamic Finite Generation Method},
38207  institution   = {Department of Mathematics, University of Washington},
38208  year          = {1989},
38209  address       = {Seattle, Washington}
38210}
38211
38212@Article{         wright:infeasible-interior-point,
38213  author        = {S. J. Wright},
38214  title         = {An Infeasible--Interior--Point Algorithm for Linear Complementarity Problems},
38215  journal       = {Mathematical Programming},
38216  volume        = {67},
38217  pages         = {29--51},
38218  year          = {1994}
38219}
38220
38221@Article{         wright:path-following,
38222  author        = {S. J. Wright},
38223  title         = {A Path--Following Infeasible--Interior--Point Algorithm for Linear
38224                  Complementarity Problems},
38225  journal       = {Optimization Methods and Software},
38226  year          = {1993},
38227  volume        = {2},
38228  pages         = {79--106}
38229}
38230
38231@TechReport{      wright:path-following*1,
38232  author        = {S. J. Wright},
38233  title         = {A Path--Following Infeasible--Interior--Point Algorithm for Linear and Quadratic
38234                  Problems},
38235  institution   = {Argonne National Laboratory},
38236  year          = {1993},
38237  number        = {MCS--P401--1293},
38238  address       = {Argonne, Illinois}
38239}
38240
38241@Book{            wright:primal-dual,
38242  author        = {S. J. Wright},
38243  title         = {Primal--Dual Interior--Point Methods},
38244  year          = {1997},
38245  publisher     = {SIAM},
38246  address       = {Philadelphia, Pennsylvania}
38247}
38248
38249@TechReport{      wright:reduced,
38250  author        = {S. J. Wright},
38251  title         = {On Reduced Convex QP Formulations of Monotone LCP Problems},
38252  institution   = {Argonne National Laboratory},
38253  year          = {2000},
38254  number        = {MCS--P808--0400},
38255  address       = {Argonne, Illinois}
38256}
38257
38258@Article{         wright:solution,
38259  author        = {S. J. Wright},
38260  title         = {Solution of Discrete--Time Optimal Control Problems on Parallel Computers},
38261  journal       = {Parallel Computing},
38262  year          = {1990},
38263  volume        = {16},
38264  pages         = {221--238}
38265}
38266
38267@Article{         wu.bourland:morphology,
38268  author        = {Q. J. Wu and J. D. Bourland},
38269  title         = {Morphology-guided radiosurgery treatment planning and optimization for multiple
38270                  isocenters},
38271  journal       = {Medical Physics},
38272  year          = {1999},
38273  volume        = {26},
38274  number        = {10},
38275  pages         = {2151--2160}
38276}
38277
38278@Misc{            wunderling:soplex,
38279  author        = {R. Wunderling},
38280  title         = {{SOPLEX}: The Sequential Object-Oriented Simplex Class Library},
38281  howpublished  = {http://www.zib.de/Optimization/Software/Soplex/}
38282}
38283
38284@Article{         xiao.harker:nonsmooth,
38285  author        = {B. Xiao and P. T. Harker},
38286  title         = {A Nonsmooth {N}ewton Method for Variational Inequalities: {I}: Theory},
38287  journal       = {Mathematical Programming},
38288  year          = {1994},
38289  volume        = {65},
38290  pages         = {151--194}
38291}
38292
38293@Article{         xiao.harker:nonsmooth*1,
38294  author        = {B. Xiao and P. T. Harker},
38295  title         = {A Nonsmooth {N}ewton Method for Variational Inequalities: {II}: Numerical
38296                  Results},
38297  journal       = {Mathematical Programming},
38298  year          = {1994},
38299  volume        = {65},
38300  pages         = {195--216}
38301}
38302
38303@Article{         xiao.zhou:nonmonotone,
38304  author        = {Y. Xiao and F. J. Zhou},
38305  title         = {Nonmonotone Trust Region Methods with Curvilinear Paths in Unconstrained
38306                  Minimization},
38307  journal       = {Computing},
38308  year          = {1992},
38309  volume        = {48},
38310  pages         = {303--317}
38311}
38312
38313@TechReport{      xiao:global,
38314  author        = {B. Xiao},
38315  title         = {Global {N}ewton methods for nonlinear problems and variational inequalities: a
38316                  {B}-differentiable equation approach},
38317  type          = {{Ph.D. Thesis}},
38318  year          = {1990},
38319  institution   = {Department of Decision Sciences, The Warton School, University of Pennsylvania},
38320  address       = {Philadelphia, PA}
38321}
38322
38323@Article{         xu.burke:polynomial,
38324  author        = {S. Xu and J. V. Burke},
38325  title         = {A Polynomial Time Interior-Point Path-Following Algorithm for {LCP} based on
38326                  {C}hen-{H}arker-{K}anzow Smoothing Techniques},
38327  year          = {1999},
38328  journal       = {Mathematical Programming},
38329  volume        = {86},
38330  pages         = {91--104}
38331}
38332
38333@TechReport{      xu:global,
38334  author        = {S. Xu},
38335  title         = {The Global Linear Convergence of an Infeasible Non-Interior Path-Following
38336                  Algorithm for Complementarity Problems with Uniform {P}-Functions},
38337  institution   = {Department of Mathematics, University of Washington},
38338  year          = {1996},
38339  type          = {Technical Report},
38340  address       = {Seattle, WA}
38341}
38342
38343@Article{         yajima.konno:efficient,
38344  author        = {Y. Yajima and H. Konno},
38345  title         = {Efficient Algorithms for Solving Rank Two and Rank Three Bilinear Programming
38346                  Problems},
38347  journal       = {Journal of Global Optimization},
38348  year          = {1991},
38349  volume        = {1:1},
38350  pages         = {155--171}
38351}
38352
38353@Article{         yamamoto:path-following,
38354  author        = {Y. Yamamoto},
38355  title         = {A Path--Following Algorithm for Stationary Point Problems},
38356  journal       = {Journal of Operations Society of Japan},
38357  year          = {1987},
38358  volume        = {30},
38359  pages         = {181--198}
38360}
38361
38362@Article{         yamashita.fukushima:modified,
38363  author        = {N. Yamashita and M. Fukushima},
38364  title         = {Modified {N}ewton Methods for Solving a Semismooth Reformulation of Monotone
38365                  Complementarity Problems},
38366  journal       = {Mathematical Programming},
38367  year          = {1997},
38368  volume        = {76},
38369  pages         = {469--492}
38370}
38371
38372@Article{         yamashita.fukushima:stationary,
38373  author        = {N. Yamashita and M. Fukushima},
38374  title         = {On Stationary Points of the Implicit Lagrangian for Nonlinear Complementarity
38375                  Problems},
38376  journal       = {Journal of Optimization Theory and Applications},
38377  volume        = {84},
38378  pages         = {653--663},
38379  year          = {1995}
38380}
38381
38382@Article{         yamashita.taji.ea:unconstrained,
38383  author        = {N. Yamashita and K. Taji and M. Fukushima},
38384  title         = {Unconstrained Optimization Reformulations of Variational Inequality Problems},
38385  journal       = {Journal of Optimization Theory and Applications},
38386  year          = {1997},
38387  volume        = {92},
38388  pages         = {439--456}
38389}
38390
38391@TechReport{      yamashita:properties,
38392  author        = {N. Yamashita},
38393  title         = {Some Properties of the Restricted {NCP}-Functions for the Nonlinear
38394                  Complementarity Problem},
38395  institution   = {Department of Applied Mathematics and Physics, Kyoto University},
38396  year          = {1996},
38397  type          = {Technical Report},
38398  address       = {Kyoto, Japan}
38399}
38400
38401@Article{         yang.mackie.ea:investigation,
38402  author        = {J. N. Yang and T. R. Mackie and P. Reckwerdt and J. O. Deasy and B. R.
38403                  Thomadsen},
38404  title         = {An investigation of tomotherapy beam delivery},
38405  journal       = {Medical Physics},
38406  year          = {1997},
38407  volume        = {24},
38408  number        = {3},
38409  pages         = {425--436}
38410}
38411
38412@Article{         yan.shu.ea:clinical,
38413  author        = {Y. Yan and H. Shu and X. Bao},
38414  title         = {Clinical Treatment Planning Optimization by {P}owell's method for {G}amma Unit
38415                  Treatmen System},
38416  journal       = {International Journal of Radiation Oncology, Biology and Physics},
38417  year          = {1997},
38418  volume        = {39},
38419  pages         = {247--254}
38420}
38421
38422@Article{         yau.gao:obstacle,
38423  author        = {S. T. Yau and Y. Gao},
38424  title         = {Obstacle problem for von {K}arm\'an equations},
38425  journal       = {Advances in Applied Mathematics},
38426  volume        = {13},
38427  year          = {1992},
38428  pages         = {123--141}
38429}
38430
38431@Article{         ye.tse:extension,
38432  author        = {Y. Ye and E. Tse},
38433  title         = {An Extension of {K}armarkar's Projective Algorithm for Convex Quadratic
38434                  Programming},
38435  journal       = {Mathematical Programming},
38436  year          = {1989},
38437  volume        = {44}
38438}
38439
38440@Article{         ye:affine,
38441  author        = {Y. Ye},
38442  title         = {On affine scaling algorithms for nonconvex quadratic programming},
38443  journal       = {Mathematical Programming},
38444  year          = {1992},
38445  volume        = {56},
38446  pages         = {285--300}
38447}
38448
38449@PhDThesis{       ye:interior,
38450  author        = {Y. Ye},
38451  title         = {Interior Algorithms for Linear, Quadratic, and Linearly Constrained Convex
38452                  Programming},
38453  year          = {1987},
38454  address       = {Stanford, California},
38455  school        = {Department of Engineering--Economic Systems, Stanford University}
38456}
38457
38458@Book{            ye:interior*1,
38459  author        = {Y. Ye},
38460  title         = {Interior-Point Algorithms: Theory and Analysis},
38461  publisher     = {John Wiley \& Sons},
38462  year          = {1997},
38463  address       = {New York, NY}
38464}
38465
38466@Article{         yu:convergence,
38467  author        = {W. --C. Yu},
38468  title         = {The Convergence Property of the Simplex Evolutionary Techniques},
38469  journal       = {Scientia Sinica, Special issue of Mathematics},
38470  year          = {1979},
38471  volume        = {1},
38472  pages         = {68--77}
38473}
38474
38475@Article{         yu.schell:genetic,
38476  author        = {Y. Yu and M. C. Schell},
38477  title         = {A Genetic Algorithm for the Optimization of Prostate Implants},
38478  journal       = {Medical Physics},
38479  year          = {1996},
38480  volume        = {23},
38481  pages         = {2085--2091}
38482}
38483
38484@Article{         yuan:superlinear,
38485  author        = {Y. Yuan},
38486  title         = {On the Superlinear Convergence of a Trust Region Algorithm for Nonmooth
38487                  Optimization},
38488  journal       = {Mathematical Programming},
38489  year          = {1985},
38490  volume        = {31},
38491  pages         = {269--285}
38492}
38493
38494@Book{            zangwill:nonlinear,
38495  author        = {W. I. Zangwill},
38496  title         = {Nonlinear Programming: {A} Unified Approach},
38497  year          = {1969},
38498  publisher     = {Prentice-Hall, Inc},
38499  address       = {Englewood Cliffs, New Jersey}
38500}
38501
38502@TechReport{      zangwill:nonlinear*1,
38503  author        = {W. I. Zangwill},
38504  title         = {Nonlinear Programming by Sequential Unconstrained Maximization},
38505  institution   = {Center for Research in Management Science, University of California},
38506  year          = {1965},
38507  address       = {Berkeley},
38508  number        = {131},
38509  type          = {Working Paper}
38510}
38511
38512@Article{         zangwill:nonlinear*2,
38513  author        = {W. I. Zangwill},
38514  title         = {Nonlinear Programming via Penalty Functions},
38515  journal       = {Management Science},
38516  year          = {1967},
38517  volume        = {13},
38518  pages         = {344--358}
38519}
38520
38521@TechReport{      zenios.censor:massively,
38522  author        = {S. A. Zenios and Y. Censor},
38523  title         = {Massively Parallel Row-Action Algorithms for some Nonlinear Transportation
38524                  Problems},
38525  institution   = {decision sciences department, Wharton School, University of Pennsylvania},
38526  year          = {1990},
38527  type          = {report},
38528  number        = {89-09-10},
38529  address       = {Philadelphia, PA}
38530}
38531
38532@Article{         zenios.lasken:nonlinear,
38533  author        = {S. A. Zenios and R. A. Lasken},
38534  title         = {Nonlinear Network Optimization on a Massively Parallel {C}onnection {M}achine},
38535  journal       = {Annals of Operations Research},
38536  year          = {1988},
38537  volume        = {14},
38538  pages         = {147--163}
38539}
38540
38541@Article{         zenios.mulvey:distributed,
38542  author        = {S. A. Zenios and J. M. Mulvey},
38543  title         = {A Distributed Algorithm for Convex Network Optimization Problems},
38544  journal       = {Parallel Computing},
38545  year          = {1988},
38546  volume        = {6},
38547  pages         = {43--56}
38548}
38549
38550@TechReport{      zenios.neilsen:massively,
38551  author        = {S. A. Zenios and S. Neilsen},
38552  title         = {Massively Parallel Algorithms for Singly Constrained Nonlinear Programs},
38553  institution   = {Decision Sciences Department, Wharton School, University of Pennsylvania},
38554  year          = {1990},
38555  type          = {report},
38556  number        = {90-03-01},
38557  address       = {Philadelphia, PA}
38558}
38559
38560@TechReport{      zenios.qi.ea:comparative,
38561  author        = {S. A. Zenios and R. Qi and E. D. Chajakis},
38562  title         = {A Comparative Study of Parallel Dual Coordinate Ascent Implementations for
38563                  Nonlinear Network Optimization},
38564  institution   = {Decision Sciences Department, Wharton School, University of Pennsylvania},
38565  year          = {1990},
38566  type          = {report},
38567  number        = {89-10-02},
38568  address       = {Philadelphia, PA}
38569}
38570
38571@Article{         zhang.kim.ea:improved,
38572  author        = {J. Zhang and N.--H. Kim and L. Lasdon},
38573  title         = {An Improved Successive Linear Programming Algorithm},
38574  year          = {1985},
38575  journal       = {Management Science},
38576  volume        = {31},
38577  pages         = {1312--1331}
38578}
38579
38580@Article{         zhang.tapia.ea:superlinear,
38581  author        = {Y. Zhang and R. A. Tapia and F. Potra},
38582  title         = {On the Superlinear Convergence of Interior Points Algorithms for a general class
38583                  of problems},
38584  journal       = {SIAM Journal on Optimization},
38585  year          = {1993},
38586  volume        = {3},
38587  number        = {?},
38588  pages         = {413--422},
38589}
38590
38591@Article{         zhang.tapia:superlinearly,
38592  author        = {Y. Zhang and R. A. Tapia},
38593  title         = {A superlinearly convergent polynomial primal-dual interior-point algorirthm for
38594                  linear programming},
38595  journal       = {SIAM Journal on Optimization},
38596  year          = {1993},
38597  volume        = {3},
38598  pages         = {118--133}
38599}
38600
38601@TechReport{      zhang.zhang:superlinear,
38602  author        = {Y. Zhang and D. Zhang},
38603  title         = {Superlinear convergence of infeasible interior-point methods for linear
38604                  programming},
38605  institution   = {Department of Mathematics and Statistics, University of Maryland},
38606  year          = {1992},
38607  number        = {92-15},
38608  address       = {Baltimore County, Maryland}
38609}
38610
38611@Article{         zhang:convergence,
38612  author        = {Yin Zhang},
38613  title         = {On the Convergence of a Class of Infeasible Interior--Point Methods for the
38614                  Horizontal Linear Complementarity Problem},
38615  journal       = {SIAM Journal on Optimization},
38616  year          = {1994},
38617  volume        = {4},
38618  pages         = {208--227}
38619}
38620
38621@Article{         zhang:convergence*1,
38622  author        = {Y. Zhang},
38623  title         = {On the convergence of a class of infeasible interior-point methods for the
38624                  horizontal linear complementarity problem},
38625  journal       = {SIAM Journal on Optimization},
38626  year          = {1994},
38627  volume        = {4},
38628  pages         = {208--227}
38629}
38630
38631@Article{         zhu.rockafellar:primal-dual,
38632  author        = {C. Y. Zhu and R. T. Rockafellar},
38633  title         = {Primal-Dual Projected Gradient Algorithms for Extended Linear-Quadratic
38634                  Programming},
38635  journal       = {SIAM Journal on Optimization},
38636  year          = {1993},
38637  volume        = {3},
38638  pages         = {751--783}
38639}
38640
38641@Article{         zhu:modified,
38642  author        = {C. Y. Zhu},
38643  title         = {Modified Proximal Point Algorithm for Extended Linear--Quadratic Programming},
38644  journal       = {Computational Optimization and Applications},
38645  year          = {1992},
38646  volume        = {2},
38647  pages         = {182--205}
38648}
38649
38650@Article{         zhu:primal-dual,
38651  author        = {C. Y. Zhu},
38652  title         = {On the Primal--Dual Steepest Descent Algorithm for Extended Linear--Quadratic
38653                  Programming},
38654  journal       = {SIAM Journal on Optimization},
38655  year          = {1995},
38656  volume        = {5},
38657  pages         = {114--128}
38658}
38659
38660@Book{            zoutendijk:methods,
38661  author        = {G. Zoutendijk},
38662  title         = {Methods of Feasible Directions},
38663  year          = {1960},
38664  publisher     = {Elsevier Publishing Company},
38665  address       = {Amsterdam}
38666}
38667
38668@Article{         zowe.kurcyusz:regularity,
38669  author        = {J. Zowe and S. Kurcyusz},
38670  title         = {Regularity and Stability for Mathematical Programming in {B}anach Spaces},
38671  journal       = {Applied Mathematics and Optimization},
38672  year          = {1979},
38673  volume        = {5},
38674  pages         = {49--62}
38675}
38676
38677@InProceedings{   zowe:nondifferentiable,
38678  author        = {J. Zowe},
38679  title         = {Nondifferentiable Optimization},
38680  booktitle     = {Computational Mathematical Programming},
38681  year          = {1985},
38682  editor        = {K. Schittkowski},
38683  publisher     = {Springer-Verlag},
38684  address       = {Berlin}
38685}
38686
38687@Proceedings{     bachem.grotschel.ea:mathematical,
38688  booktitle     = {Mathematical Programming: The State of the Art, Bonn 1982},
38689  title         = {Mathematical Programming: The State of the Art, Bonn 1982},
38690  year          = {1983},
38691  editor        = {A. Bachem and M. Gr{\"{o}}tchel and B. Korte},
38692  publisher     = {Springer Verlag},
38693  address       = {Berlin}
38694}
38695
38696@Proceedings{     belew.booker:fourth,
38697  year          = {1991},
38698  editor        = {R. K. Belew and L. B. Booker},
38699  publisher     = {Morgan Kaufmann Publishers, Inc},
38700  address       = {San Mateo, California},
38701  booktitle     = {Proceedings of the Fourth International Conference on Genetic Algorithms}
38702}
38703
38704@Proceedings{     coleman.li:large-scale,
38705  year          = {1990},
38706  editor        = {T. F. Coleman and Y. Li},
38707  publisher     = {SIAM},
38708  address       = {Philadelphia, Pennsylvania},
38709  note          = {Proceedings of the Workshop on Large-Scale Numerical Optimization, Cornell
38710                  University, Ithaca, New York, October 19-20, 1989},
38711  booktitle     = {Large-Scale Numerical Optimization}
38712}
38713
38714@Book{            davis:genetic,
38715  title         = {Genetic Algorithms and Simulated Annealing},
38716  year          = {1987},
38717  editor        = {L. D. Davis},
38718  publisher     = {Pitman},
38719  address       = {London},
38720  booktitle     = {Genetic Algorithms and Simulated Annealing}
38721}
38722
38723@Proceedings{     ferris.pang:complementarity,
38724  title         = {Complementarity and Variational Problems: State of the Art},
38725  booktitle     = {Complementarity and Variational Problems: State of the Art},
38726  year          = {1997},
38727  key           = {57},
38728  editor        = {M. C. Ferris and J. S. Pang},
38729  publisher     = {SIAM Publications},
38730  address       = {Philadelphia, Pennsylvania}
38731}
38732
38733@Proceedings{     ferris.mangasarian.ea:complementarity,
38734  title         = {Complementarity: Applications, Algorithms and Extensions},
38735  booktitle     = {Complementarity: Applications, Algorithms and Extensions},
38736  year          = {2001},
38737  key           = {95},
38738  editor        = {M. C. Ferris and O.L. Mangasarian and J. S. Pang},
38739  publisher     = {Kluwer Academic Publishers},
38740  address       = {Dordrecht, The Netherlands}
38741}
38742
38743@Proceedings{     florian:traffic,
38744  title         = {Traffic Equilibrium Methods},
38745  year          = {1976},
38746  editor        = {M. Florian},
38747  publisher     = {Springer-Verlag},
38748  address       = {Berlin}
38749}
38750
38751@Proceedings{     grefenstette:genetic,
38752  title         = {Genetic Algorithms and their Applications: Proceedings of the Second
38753                  International Conference on Genetic Algorithms},
38754  year          = {1987},
38755  editor        = {J. J. Grefenstette},
38756  publisher     = {Lawrence Erlbaum Associates},
38757  address       = {Hillsdale, New Jersey},
38758  booktitle     = {Genetic Algorithms and their Applications: Proceedings of the Second
38759                  International Conference on Genetic Algorithms}
38760}
38761
38762@Proceedings{     mangasarian.meyer.ea:nonlinear*2,
38763  booktitle     = {Nonlinear Programming},
38764  volume        = {2},
38765  editor        = {O. L. Mangasarian and R. R. Meyer and S. M. Robinson},
38766  publisher     = {Academic Press},
38767  address       = {New York},
38768  year          = {1975}
38769}
38770
38771@Proceedings{     mangasarian.meyer.ea:nonlinear*3,
38772  booktitle     = {Nonlinear Programming},
38773  volume        = {3},
38774  editor        = {O. L. Mangasarian and R. R. Meyer and S. M. Robinson},
38775  publisher     = {Academic Press},
38776  address       = {London},
38777  year          = {1978}
38778}
38779
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38781  title         = {Local Structure of Feasible Sets in Nonlinear Programming, {P}art~{I}:
38782                  Regularity},
38783  year          = {1983},
38784  editor        = {V. Pereyra and A. Reinoza},
38785  publisher     = {Springer-Verlag},
38786  address       = {Berlin},
38787  author        = {S. M. Robinson},
38788  pages         = {240--251},
38789  series        = {Numerical Methods: Proceedings, Caracas 1982}
38790}
38791
38792@Proceedings{     schaeffer:third,
38793  year          = {1989},
38794  editor        = {J. D. Schaeffer},
38795  publisher     = {Morgan Kaufmann Publishers, Inc},
38796  address       = {San Mateo, California},
38797  booktitle     = {Proceedings of the Third International Conference on Genetic Algorithms}
38798}
38799
38800@Book{            vanderbei:linear,
38801  author        = {R. J. Vanderbei},
38802  title         = {Linear Programming: Foundations and Extensions},
38803  year          = {1997},
38804  publisher     = {Kluwer Academic Publishers},
38805  address       = {Boston, Massachusetts}
38806}
38807
38808@Book{            dfobook,
38809  title         = {Introduction to Derivative-Free Optimization},
38810  publisher     = {Society for Industrial and Applied Mathematics},
38811  year          = {2009},
38812  author        = {Andrew R. Conn and Katya Scheinberg and Lu\'is N. Vicente},
38813  series        = {MPS/SIAM Series on Optimization},
38814  address       = {Philadelphia, PA, USA},
38815  isbn          = {0-89871-460-5}
38816}
38817
38818@Article{         unedf0,
38819  author        = {{Kortelainen}, M. and {Lesinski}, T. and {Mor{\'e}}, J. and {Nazarewicz}, W. and
38820                  {Sarich}, J. and {Schunck}, N. and {Stoitsov}, M.~V. and {Wild}, S.~M.},
38821  title         = {Nuclear Energy Density Optimization},
38822  journal       = {Physical Review C},
38823  year          = {2010},
38824  volume        = {82},
38825  number        = {2},
38826  pages         = {024313},
38827  doi           = {10.1103/PhysRevC.82.024313}
38828}
38829
38830@Article{         hestenes1969multiplier,
38831  title         = {Multiplier and gradient methods},
38832  author        = {Hestenes, Magnus R},
38833  journal       = {Journal of optimization theory and applications},
38834  volume        = {4},
38835  number        = {5},
38836  pages         = {303--320},
38837  year          = {1969},
38838  publisher     = {Springer}
38839}
38840
38841@Article{         powell1969method,
38842  title         = {A method for nonlinear constraints in minimization problems},
38843  author        = {Powell, Michael JD},
38844  journal       = {Optimization},
38845  pages         = {283--298},
38846  year          = {1969},
38847  publisher     = {Academic Press}
38848}
38849
38850@Book{            nocedal2006numerical,
38851  title         = {Numerical optimization},
38852  author        = {Jorge Nocedal and Stephen Wright},
38853  year          = {2006},
38854  publisher     = {Springer Science \& Business Media}
38855}
38856
38857@Article{         rockafellar1974augmented,
38858  title         = {Augmented Lagrange multiplier functions and duality in nonconvex programming},
38859  author        = {Rockafellar, R Tyrrell},
38860  journal       = {SIAM Journal on Control},
38861  volume        = {12},
38862  number        = {2},
38863  pages         = {268--285},
38864  year          = {1974},
38865  publisher     = {SIAM}
38866}
38867
38868@Article{         bacuta2006,
38869  title         = {A unified approach for Uzawa algorithms},
38870  author        = {Constantin Bacuta},
38871  journal       = {SIAM Journal on Numerical Analysis},
38872  volume        = {44},
38873  number        = {6},
38874  pages         = {2633--2649},
38875  year          = {2006}
38876}
38877
38878@Article{         manteuffelrugesouthworth2018,
38879  title         = {Nonsymmetric algebraic multigrid based on local approximate ideal restriction
38880                  (AIR)},
38881  author        = {Thomas A Manteuffel and John Ruge and Ben S Southworth},
38882  journal       = {SIAM Journal on Scientific Computing},
38883  volume        = {40},
38884  number        = {6},
38885  pages         = {A4105--A4130},
38886  year          = {2018}
38887}
38888
38889@Article{         manteuffelmunzenmaierrugesouthworth2019,
38890  title         = {Nonsymmetric reduction-based algebraic multigrid},
38891  author        = {Thomas A Manteuffel and Steffen M\"unzenmaier and John Ruge and Ben S Southworth},
38892  journal       = {SIAM Journal on Scientific Computing},
38893  volume        = {41},
38894  number        = {5},
38895  pages         = {S242--S268},
38896  year          = {2019}
38897}
38898
38899@PhDThesis{       sivas2021,
38900  title         = {Preconditioning of HDG for the Navier–Stokes Equations},
38901  author        = {Abdullah Ali Sivas},
38902  department    = {Applied Mathematics},
38903  institution   = {University of Waterloo},
38904  year          = {2021}
38905}
38906
38907@Article{         brookshughes1982,
38908  title         = {Streamline upwind/{Petrov-Galerkin} formulations for convection dominated flows
38909                  with particular emphasis on the incompressible {Navier-Stokes} equations},
38910  author        = {Alexander N Brooks and Thomas JR Hughes},
38911  journal       = {Computer methods in applied mechanics and engineering},
38912  volume        = {32},
38913  number        = {1-3},
38914  pages         = {199--259},
38915  year          = {1982},
38916  publisher     = {Elsevier}
38917}
38918
38919@InProceedings{   suhisaac2020,
38920  title         = {Evaluation of a minimally synchronous algorithm for 2: 1 octree balance},
38921  author        = {Hansol Suh and Tobin Isaac},
38922  booktitle     = {SC20: International Conference for High Performance Computing, Networking,
38923                  Storage and Analysis},
38924  pages         = {1--12},
38925  year          = {2020},
38926  organization  = {IEEE}
38927}
38928
38929@Misc{            alauzet2010,
38930  title         = {Metric-Based Anisotropic Mesh Adaptation},
38931  author        = {Fr\'{e}d\'{e}ric Alauzet},
38932  howpublished  = {\url{https://pages.saclay.inria.fr/frederic.alauzet/cours/cea2010_V3.pdf}},
38933  year          = {2010}
38934}
38935
38936@Article{         chan1994qmrcgs,
38937  title         = {A quasi-minimal residual variant of the {Bi-CGSTAB} algorithm for nonsymmetric
38938                  systems},
38939  author        = {Chan, Tony F and Gallopoulos, Efstratios and Simoncini, Valeria and Szeto, Tedd
38940                  and Tong, Charles H},
38941  journal       = {SIAM Journal on Scientific Computing},
38942  volume        = {15},
38943  number        = {2},
38944  pages         = {338--347},
38945  year          = {1994},
38946  publisher     = {SIAM}
38947}
38948
38949@Article{         ghai2019comparison,
38950  title         = {A comparison of preconditioned {K}rylov subspace methods for large-scale
38951                  nonsymmetric linear systems},
38952  author        = {Ghai, Aditi and Lu, Cao and Jiao, Xiangmin},
38953  journal       = {Numerical Linear Algebra with Applications},
38954  volume        = {26},
38955  number        = {1},
38956  pages         = {e2215},
38957  year          = {2019},
38958  publisher     = {Wiley Online Library}
38959}
38960
38961@Article{         mishrasalacknepley2022,
38962  title         = {On the order of accuracy for finite difference approximations of partial
38963                  differential equations using stencil composition},
38964  author        = {Abhishek Mishra and David Salac and Matthew G. Knepley},
38965  journal       = {International Journal on Numerical Methods in Engineering},
38966  note          = {Submitted},
38967  year          = {2022}
38968}
38969
38970@Article{         nathawaniknepley2022,
38971  title         = {Droplet formation simulation using mixed finite elements},
38972  author        = {Darsh K. Nathawani and Matthew G. Knepley},
38973  journal       = {Physics of Fluids},
38974  volume        = {34},
38975  pages         = {064105},
38976  doi           = {10.1063/5.0089752},
38977  year          = {2022}
38978}
38979
38980@InProceedings{   nathawaniknepley2022b,
38981  title         = {Simulating Paraffin Wax Droplets Using Mixed Finite Element Method},
38982  author        = {Darsh K. Nathawani and Matthew G. Knepley},
38983  booktitle     = {Proceeedings of the International Conference on Computational Fluid Dynamics 11
38984                  (ICCFD11)},
38985  editor        = {Christoph Brehm and Shishir Pandya},
38986  number        = {4103},
38987  year          = {2022}
38988}
38989
38990@Article{         nathawaniknepley2023,
38991  title         = {One-dimensional model to simulate shear-induced droplet formation},
38992  author        = {Darsh K. Nathawani and Matthew G. Knepley},
38993  journal       = {International Journal of Multiphase Flow},
38994  note          = {Submitted},
38995  year          = {2023}
38996}
38997
38998@InProceedings{   georgalisnathawaniknepleypatra2023,
38999  title         = {Uncertainty Quantification of Shear-induced Paraffin Droplet Pinch-off in Hybrid Rocket Motors},
39000  author        = {Georgios Georgalis and Darsh K. Nathawani and Matthew G. Knepley and Abani
39001                  Patra},
39002  booktitle = {AIAA SciTech 2024},
39003  note          = {Accepted},
39004  year          = {2023}
39005}
39006
39007@Article{         brownbarrabeamsghaffariknepleymosesshakeristengelthompsonzhang2022,
39008  title         = {Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid},
39009  author        = {Jed Brown and Valeria Barra and Natalie Beams and Leila Ghaffari and Matthew
39010                  Knepley and William Moses and Rezgar Shakeri and Karen Stengel and Jeremy L.
39011                  Thompson and Junchao Zhang},
39012  doi           = {10.48550/ARXIV.2204.01722},
39013  url           = {https://arxiv.org/abs/2204.01722},
39014  publisher     = {arXiv},
39015  note          = {Submitted},
39016  year          = {2022}
39017}
39018
39019@InCollection{    mayknepley2023,
39020  title         = {Numerical Modeling of Subduction},
39021  author        = {Dave A. May and Matthew G. Knepley},
39022  booktitle     = {Dynamics of Plate Tectonics and Mantle Convection},
39023  editor        = {João C. Duarte},
39024  pages         = {539-571},
39025  isbn          = {978-0-323-85733-8},
39026  doi           = {https://doi.org/10.1016/B978-0-323-85733-8.00020-2},
39027  url           = {https://www.sciencedirect.com/science/article/pii/B9780323857338000202},
39028  year          = {2023}
39029}
39030
39031@Article{         adamsknepley2023,
39032  title         = {A bespoke multigrid approach for magnetohydrodynamics models of magnetized
39033                  plasmas in {PETSc}},
39034  author        = {Mark F. Adams and Matthew G. Knepley},
39035  url           = {https://arxiv.org/abs/2302.10242},
39036  note          = {In preparation},
39037  year          = {2023},
39038  petsc_uses    = {DMPlex}
39039}
39040
39041@Article{         finnknepleypusztayadams2023,
39042  title         = {A Numerical Study of {Landau} Damping with {PETSc-PIC}},
39043  author        = {Daniel S. Finn and Matthew G. Knepley and Joseph V. Pusztay and Mark F. Adams},
39044  url           = {https://arxiv.org/abs/2303.12620},
39045  journal       = {Communications in Applied Mathematics and Computational Science},
39046  volume        = {18},
39047  number        = {1},
39048  pages         = {135--152},
39049  doi           = {10.2140/camcos.2023.18.135},
39050  year          = {2023}
39051}
39052
39053@Article{         eggersdupont1994,
39054  title         = {Drop formation in a one-dimensional approximation of the {Navier--Stokes}
39055                  equation},
39056  author        = {Jens Eggers and Todd F. Dupont},
39057  journal       = {Journal of fluid mechanics},
39058  volume        = {262},
39059  pages         = {205--221},
39060  year          = {1994},
39061  publisher     = {Cambridge University Press}
39062}
39063
39064@PhDThesis{       pusztaythesis2023,
39065  title         = {A Particle Basis Vlasov-Poisson-Landau Solver for Plasma Simulation in PETSc},
39066  author        = {Joseph V. Pusztay},
39067  type          = {{PhD} thesis},
39068  school        = {University at Buffalo, Department of Computer Science and Engineering},
39069  address       = {Buffalo, NY},
39070  month         = may,
39071  year          = {2022}
39072}
39073
39074@PhDThesis{       finnthesis2023,
39075  title         = {Structure-Preserving Particle-In-Cell Methods for the Vlasov-Poisson-Landau
39076                  System},
39077  author        = {Daniel S. Finn},
39078  type          = {{PhD} thesis},
39079  school        = {University at Buffalo, Program in Computational and Data-Enabled Science and
39080                  Engineering},
39081  address       = {Buffalo, NY},
39082  month         = may,
39083  year          = {2023}
39084}
39085
39086@PhDThesis{       nathawanithesis2023,
39087  title         = {Droplet Formation: One-dimensional Mathematical Model and Computations},
39088  author        = {Darsh Kiritbhai Nathawani},
39089  type          = {{PhD} thesis},
39090  school        = {University at Buffalo, Program in Computational and Data-Enabled Science and
39091                  Engineering},
39092  address       = {Buffalo, NY},
39093  month         = may,
39094  year          = {2023}
39095}
39096
39097@article{MckayEriksonKozdon2019,
39098  title   = {A computational method for earthquake cycles within anisotropic media},
39099  author  = {Maricela Best Mckay and Brittany A Erickson and Jeremy E Kozdon},
39100  journal = {Geophysical Journal International},
39101  volume  = {219},
39102  number  = {2},
39103  pages   = {816--833},
39104  year    = {2019},
39105}
39106
39107article{EricksonOReillyNordstrom2019,
39108  title   = {Accuracy of stable, high-order finite difference methods for hyperbolic systems with non-smooth wave speeds},
39109  author  = {Brittany A Erickson and Ossian O’Reilly and Jan Nordstr{\"o}m},
39110  journal = {Journal of Scientific Computing},
39111  volume  = {81},
39112  pages   = {2356--2387},
39113  year    = {2019},
39114}
39115
39116@article{KozdonEricksonWilcox2021,
39117  title   = {Hybridized summation-by-parts finite difference methods},
39118  author  = {Jeremy E Kozdon and Brittany A Erickson and Lucas C Wilcox},
39119  journal = {Journal of Scientific Computing},
39120  volume  = {87},
39121  number  = {3},
39122  pages   = {85},
39123  year    = {2021},
39124}
39125
39126@article{SEAS2022,
39127  title   = {Community-driven code comparisons for three-dimensional dynamic modeling of sequences of earthquakes and aseismic slip},
39128  author  = {Junle Jiang and Brittany A Erickson and Val{\`e}re R Lambert and Jean-Paul Ampuero and Ryosuke Ando and Sylvain D Barbot and Camilla Cattania and Luca Dal Zilio and Benchun Duan and Eric M Dunham and Alice-Agnes Gabriel and Nadia Lapusta and Duo Li and Meng Li and Dunyu Liu and Yajing Liu and So Ozawa and Casper Pranger and Ylona van Dinther},
39129  journal = {Journal of Geophysical Research: Solid Earth},
39130  volume  = {127},
39131  number  = {3},
39132  pages   = {e2021JB023519},
39133  year    = {2022},
39134}
39135
39136@article{EricksonKozdonHarvey2022,
39137  title   = {A non-stiff summation-by-parts finite difference method for the scalar wave equation in second order form: Characteristic boundary conditions and nonlinear interfaces},
39138  author  = {Brittany A Erickson and Jeremy E Kozdon and Tobias Harvey},
39139  journal = {Journal of Scientific Computing},
39140  volume  = {93},
39141  number  = {1},
39142  pages   = {17},
39143  year    = {2022},
39144}
39145
39146@article{RuckerEriksonKarlstromLeeGopalakrishnan2022,
39147  title   = {A Computational Framework for Time-Dependent Deformation in Viscoelastic Magmatic Systems},
39148  author  = {Cody Rucker and Brittany A Erickson and Leif Karlstrom and Brian Lee and Jay Gopalakrishnan},
39149  journal = {Journal of Geophysical Research: Solid Earth},
39150  volume  = {127},
39151  number  = {9},
39152  pages   = {e2022JB024506},
39153  year    = {2022},
39154}
39155
39156@article{HarveyEriksonKozdon2023,
39157  title   = {A High-order Accurate Summation-by-Parts Finite Difference Method for Fully-dynamic Earthquake Sequence Simulations within Sedimentary Basins},
39158  author  = {Tobias W Harvey and Brittany A Erickson and Jeremy E Kozdon},
39159  journal = {Journal of Geophysical Research: Solid Earth},
39160  pages   = {e2022JB025357},
39161  year    = {2023},
39162}
39163
39164@article{SEAS2023,
39165  title   = {Incorporating full elastodynamic effects and dipping fault geometries in community code verification exercises for simulations of earthquake sequences and aseismic slip {(SEAS)}},
39166  author  = {Brittany A Erickson and Junle Jiang and Val{\`e}re Lambert and Sylvain D Barbot and Mohamed Abdelmeguid and Martin Almquist and Jean-Paul Ampuero and Ryosuke Ando and Camilla Cattania and Alexandre Chen and Luca Dal Zilio and Shuai Deng and Eric M. Dunham and Ahmed E. Elbanna and Alice‐Agnes Gabriel and Tobias W. Harvey and Yihe Huang and Yoshihiro Kaneko and Jeremy E. Kozdon and Nadia Lapusta and Duo Li and Meng Li and Chao Liang and Yajing Liu and So Ozawa and Andrea Perez‐Silva and Casper Pranger and Paul Segall and Yudong Sun and Prithvi Thakur and Carsten Uphoff and Ylona van Dinther and Yuyun Yang},
39167  journal = {Bulletin of the Seismological Society of America},
39168  volume  = {113},
39169  number  = {2},
39170  pages   = {499--523},
39171  year    = {2023},
39172}
39173