TSDISCGRAD

ODE solver using the discrete gradients version of the implicit midpoint method

Notes

This is the implicit midpoint rule, with an optional term that guarantees the discrete gradient property. This timestepper applies to systems of the form \(u_t = S(u) \nabla F(u)\) where \(S(u)\) is a linear operator, and \(F\) is a functional of \(u\).

For Hamiltonian systems designed to conserve the first integral (energy), but also has the property for some systems of monotonicity in a functional.

See Also

TS: Scalable ODE and DAE Solvers, TSCreate(), TSSetType(), TS, TSType, TSDiscGradSetFormulation(), TSDiscGradGetFormulation(), TSDiscGradSetType(), TSDiscGradGetType(), TSDGType

Level

intermediate

Location

src/ts/impls/implicit/discgrad/tsdiscgrad.c

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Index of all TS routines
Table of Contents for all manual pages
Index of all manual pages