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.. _integrator_table:
==============================================
Summary of Time Integrators Available In PETSc
==============================================
.. list-table:: Time integration schemes
:name: tab_TSPET
:header-rows: 1
* - TS Name
- Reference
- Class
- Type
- Order
* - euler
- forward Euler
- one-step
- explicit
- :math:`1`
* - ssp
- multistage SSP :cite:`ketcheson_2008`
- Runge-Kutta
- explicit
- :math:`\le 4`
* - rk*
- multiscale
- Runge-Kutta
- explicit
- :math:`\ge 1`
* - beuler
- backward Euler
- one-step
- implicit
- :math:`1`
* - cn
- Crank-Nicolson
- one-step
- implicit
- :math:`2`
* - theta*
- theta-method
- one-step
- implicit
- :math:`\le 2`
* - bdf
- Backward Differentiation Formulas
- one-step
- implicit
- :math:`\le 6`
* - alpha
- alpha-method :cite:`jansen_2000`
- one-step
- implicit
- :math:`2`
* - gl
- general linear :cite:`butcher_2007`
- multistep-multistage
- implicit
- :math:`\le 3`
* - eimex
- extrapolated IMEX :cite:`constantinescu_a2010a`
- one-step
- IMEX
- :math:`\ge 1`, adaptive
* - dirk
- DIRK
- diagonally implicit Runge-Kutta
- implicit
- :math:`\ge 1`
* - arkimex
- See :any:`tab_IMEX_RK_PETSc`
- IMEX Runge-Kutta
- IMEX
- :math:`1-5`
* - rosw
- See :any:`tab_IMEX_RosW_PETSc`
- Rosenbrock-W
- linearly implicit
- :math:`1-4`
* - glee
- See :any:`tab_IMEX_GLEE_PETSc`
- GL with global error
- explicit and implicit
- :math:`1-3`
* - mprk
- Multirate Partitioned Runge-Kutta
- multirate
- explicit
- :math:`2-3`
* - basicsymplectic
- Basic symplectic integrator for separable Hamiltonian
- semi-implicit Euler and Velocity Verlet
- explicit
- :math:`1-2`
* - irk
- fully implicit Runge-Kutta
- Gauss-Legrendre
- implicit
- :math:`2s`
.. bibliography:: /petsc.bib
:filter: docname in docnames
|
