Lines Matching refs:methods

128   all integration methods. An equivalent way to derive the formula is
185 (IMEX), and fully implicit methods.
218 A list of available methods is given in {any}`integrator_table`.
344 non-oscillatory methods for hyperbolic PDE. The user provides three
365 …y using fully implicit methods. Some use-case examples for `TSARKIMEX` are listed in {numref}`tab_…
524 ROSW are linearized implicit Runge-Kutta methods known as Rosenbrock
525 W-methods. They can accommodate inexact Jacobian matrices in their
526 formulation. A series of methods are available in PETSc are listed in
701 …solved by padding zeros in the implicit part and using the standard IMEX methods. However, one nee…
705 ## GLEE methods
707 In this section, we describe explicit and implicit time stepping methods
739 The methods can be described in two mathematically equivalent forms:
868 ## Using fully implicit methods
877 The explicit Euler and Runge-Kutta methods require the ODE be in the
895 available methods are the $5$th-order Fehlberg RK scheme with a
977 Most of the time stepping methods available in PETSc have an error
1012 computes a new step size to be taken. For multistage methods, the local
1114 explicit methods and `TSTHETA` implicit methods, which include
1117 ### Using the discrete adjoint methods
1301 For explicit methods where one does not need to provide the Jacobian
1311 - discrete adjoint sensitivity using explicit and implicit time stepping methods for an ODE problem
1314   and the Theta methods (for stiff DAEs)
1319   Theta methods for cost function with an integral term
1321 - discrete adjoint sensitivity using the Crank-Nicolson methods for DAEs with discontinuities
1324   methods for cost function with an integral term
1326 - discrete adjoint sensitivity using the Crank-Nicolson methods for a PDE problem
1332 context of multistage timestepping methods) to evaluate the Jacobian