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/petsc/doc/developers/
H A Darticles.md8 Higher-level views of PETSc can be found in {cite}`keyprefix-s2011`,
9 {cite}`keyprefix-bgms00`, {cite}`keyprefix-miss-paper`, {cite}`keyprefix-bgms98`, and {cite}`keypre…
H A Dkernel.md4 component-based libraries; these are referred to as the PETSc kernel {cite}`bgms98`.
13 - Fortran interfaces (see {cite}`balaybrownknepleymcinnessmith2015`)
14 …ing appropriate citations for algorithms and software used in PETSc (see {cite}`knepley2013accurat…
H A Dstyle.md568 PETSc uses formatted comments and the Sowing packages {cite}`gropp1993sowing` {cite}`gropp1993sowin…
675 13. (If applicable) references should be indicated inline with \{cite}\`Bibtex-key\` where
H A Dmatrices.md115 additional implementation details are given in {cite}`petsc-efficient`.
H A Ddocumentation.md149 …To cite the same reference on more than one page, use [this workaround](https://sphinxcontrib-bibt…
/petsc/doc/overview/
H A Dintegrator_table.md21 - multistage SSP :cite:`ketcheson_2008`
51 - alpha-method :cite:`jansen_2000`
56 - general linear :cite:`butcher_2007`
61 - extrapolated IMEX :cite:`constantinescu_a2010a`
/petsc/doc/
H A Dindex.md157 For petsc4py usage please cite
166 For PETSc usage on GPUs please cite
175 For `PetscSF` -- parallel communication in PETSc -- please cite
184 If you use the `TS` component of PETSc please cite the following:
193 If you utilize the `TS` adjoint solver please cite
/petsc/src/ksp/ksp/impls/cg/pipeprcg/
H A Dpipeprcg.c205 PetscBool cite = PETSC_FALSE; in KSPCreate_PIPEPRCG() local
210 &cite)); in KSPCreate_PIPEPRCG()
/petsc/src/ksp/ksp/impls/bcgs/qmrcgs/
H A Dqmrcgs.c243 PetscBool cite = PETSC_FALSE; in KSPCreate_QMRCGS() local
246 PetscCall(PetscCitationsRegister(citations, &cite)); in KSPCreate_QMRCGS()
/petsc/doc/manual/
H A Dts.md293 You can find a discussion of DAEs in {cite}`ascherpetzold1998` or [Scholarpedia](http://www.scholar…
335 …corresponds to the Segregated Runge-Kutta method applied to this equation {cite}`colomesbadia2016`.
424 - SSP2(2,2,2) :cite:`pareschi_2005`
433 - ARS122 :cite:`ascher_1997`
442 - :cite:`giraldo_2013`
451 - :cite:`giraldo_2013`
460 - :cite:`giraldo_2013`
469 - PRS(3,3,2) :cite:`pareschi_2005`
478 - :cite:`kennedy_2003`
487 - :cite:`boscarino_tr2011`
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H A Dksp.md25 linear systems. Many textbooks (e.g. {cite}`fgn` {cite}`vandervorst2003`, or {cite}`saad2003`) prov…
318 * - Conjugate Gradient :cite:`hs:52`
321 * - Pipelined Conjugate Gradients :cite:`ghyselsvanroose2014`
333 * - Flexible Conjugate Gradients :cite:`flexiblecg`
336 * -  Pipelined, Flexible Conjugate Gradients :cite:`sananschneppmay2016`
357 * - BiCGSTAB :cite:`v:92`
363 * - QMRCGSTAB :cite:`chan1994qmrcgs`
375 * - Minimal Residual Method :cite:`paige.saunders:solution`
378 * - Generalized Minimal Residual :cite:`saad.schultz:gmres`
381 * - Flexible Generalized Minimal Residual :cite:`saad1993`
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H A Dtao.md1197 interpolation scheme found in {cite}`cgt`, is the default.
1472 interpolation scheme found in {cite}`cgt`, is the default.
1597 method {cite}`nocedal2006numerical`, the Hestenes-Stiefel method, and the
1618 The Nelder-Mead algorithm {cite}`nelder.mead:simplex` is a
1724 {cite}`bertsekas:projected` with the following variable
1960 multipliers. {cite}`boyd` The algorithm solves problems in
2052 Lagrangian {cite}`hestenes1969multiplier` {cite}`powell1969method`
2055 formulation {cite}`rockafellar1974augmented` that utilizes a
2449 framework as described in {cite}`dfobook` in order to
2452 {cite}`unedf0`.
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H A Dsnes.md363 {cite}`dennis:83`. Alternative line search techniques are
471 MINPACK project {cite}`more84`. Several parameters can be
608 This implementation is based on {cite}`LeonPaulinoPereiraMenezesLages_2011`.
622 linearized equilibrium line. See the code or {cite}`Ritto-CorreaCamotim2008` for a
999 employ the techniques of Eisenstat and Walker {cite}`ew96`
1030 methods {cite}`brownsaad:90`.
1089 {cite}`brownsaad:90`. The second approach, taken from Walker and Pernice,
1090 {cite}`pw98`, computes $h$ via
1253 * - smallest-last :cite:`more84`
1257 * - largest-first :cite:`more84`
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H A Dmat.md544 * - "Good" Broyden :cite:`keyprefix-griewank2012broyden`
548 * - "Bad" Broyden :cite:`keyprefix-griewank2012broyden`
552 * - Symmetric Rank-1 :cite:`keyprefix-nocedal2006numerical`
556 * - Davidon-Fletcher-Powell (DFP) :cite:`keyprefix-nocedal2006numerical`
560 * - Dense Davidon-Fletcher-Powell (DFP) :cite:`keyprefix-ErwayMarcia2017`
564 * - Broyden-Fletcher-Goldfarb-Shanno (BFGS) :cite:`keyprefix-nocedal2006numerical`
568 * - Dense Broyden-Fletcher-Goldfarb-Shanno (BFGS) :cite:`keyprefix-ErwayMarcia2017`
576 * - Restricted Broyden Family :cite:`keyprefix-erway2017solving`
645 Gilbert and Lemarechal {cite}`keyprefix-gilbert-lemarechal`.
653 {cite}`keyprefix-gilbert-lemarechal`. This initialization requires
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H A Dprofiling.md318 {cite}`upshot` to visualize PETSc events. This package comes
320 {cite}`mpich-web-page` implementation of MPI. The option
H A Dgetting_started.md121 message-passing communication {cite}`mpi-final`. Thus, to
206 {cite}`using-mpi` provides an excellent introduction to the
/petsc/src/mat/impls/aij/seq/umfpack/
H A Dumfpack.c117 static PetscBool cite = PETSC_FALSE; in MatSolve_UMFPACK_Private() local
123 &cite)); in MatSolve_UMFPACK_Private()
/petsc/doc/install/
H A Ddownload.md106 PETSc does not follow **Semantic Versioning**, {cite}`semver-webpage`, rather it follows:
/petsc/src/ksp/pc/impls/hypre/
H A Dhypre.c20 static PetscBool cite = PETSC_FALSE; variable
570 PetscCall(PetscCitationsRegister(hypreCitation, &cite)); in PCApply_HYPRE()
606 PetscCall(PetscCitationsRegister(hypreCitation, &cite)); in PCMatApply_HYPRE_BoomerAMG()
944 PetscCall(PetscCitationsRegister(hypreCitation, &cite)); in PCApplyTranspose_HYPRE_BoomerAMG()
1363 PetscCall(PetscCitationsRegister(hypreCitation, &cite)); in PCApplyRichardson_HYPRE_BoomerAMG()
2808 PetscCall(PetscCitationsRegister(hypreCitation, &cite)); in PCApply_PFMG()
2842 PetscCall(PetscCitationsRegister(hypreCitation, &cite)); in PCApplyRichardson_PFMG()
3028 PetscCall(PetscCitationsRegister(hypreCitation, &cite)); in PCApply_SysPFMG()
3096 PetscCall(PetscCitationsRegister(hypreCitation, &cite)); in PCApplyRichardson_SysPFMG()
3243 PetscCall(PetscCitationsRegister(hypreCitation, &cite)); in PCApply_SMG()
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/petsc/src/mat/impls/aij/seq/superlu/
H A Dsuperlu.c98 static PetscBool cite = PETSC_FALSE; in MatSolve_SuperLU_Private() local
104 &cite)); in MatSolve_SuperLU_Private()
/petsc/doc/changes/
H A D322.md136 - Add Rosenbrock-W methods from {cite}`rang2015improved` with $B_{PR}$ stability: `TSROSWR34PRW`, `…
/petsc/src/mat/impls/aij/mpi/superlu_dist/
H A Dsuperlu_dist.c282 static PetscBool cite = PETSC_FALSE; in MatSolve_SuperLU_DIST() local
288 &cite)); in MatSolve_SuperLU_DIST()
/petsc/src/ts/interface/sensitivity/
H A Dtssen.c1555 static PetscBool cite = PETSC_FALSE; in TSAdjointSolve() local
1571 &cite)); in TSAdjointSolve()
/petsc/src/dm/impls/moab/
H A Ddmmoab.cxx232 static PetscBool cite = PETSC_FALSE; in DMMoabGetInterface() local
238 &cite)); in DMMoabGetInterface()
/petsc/src/ksp/pc/impls/ml/
H A Dml.c522 static PetscBool cite = PETSC_FALSE; in PCSetUp_ML() local
527 &cite)); in PCSetUp_ML()

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