TSARKIMEXRegister#

register a TSARKIMEX scheme by providing the entries in the Butcher tableau and optionally embedded approximations and interpolation

Synopsis#

#include "petscts.h"   
PetscErrorCode TSARKIMEXRegister(TSARKIMEXType name, PetscInt order, PetscInt s, const PetscReal At[], const PetscReal bt[], const PetscReal ct[], const PetscReal A[], const PetscReal b[], const PetscReal c[], const PetscReal bembedt[], const PetscReal bembed[], PetscInt pinterp, const PetscReal binterpt[], const PetscReal binterp[])

Logically Collective.

Input Parameters#

  • name - identifier for method

  • order - approximation order of method

  • s - number of stages, this is the dimension of the matrices below

  • At - Butcher table of stage coefficients for stiff part (dimension s*s, row-major)

  • bt - Butcher table for completing the stiff part of the step (dimension s; NULL to use the last row of At)

  • ct - Abscissa of each stiff stage (dimension s, NULL to use row sums of At)

  • A - Non-stiff stage coefficients (dimension s*s, row-major)

  • b - Non-stiff step completion table (dimension s; NULL to use last row of At)

  • c - Non-stiff abscissa (dimension s; NULL to use row sums of A)

  • bembedt - Stiff part of completion table for embedded method (dimension s; NULL if not available)

  • bembed - Non-stiff part of completion table for embedded method (dimension s; NULL to use bembedt if provided)

  • pinterp - Order of the interpolation scheme, equal to the number of columns of binterpt and binterp

  • binterpt - Coefficients of the interpolation formula for the stiff part (dimension s*pinterp)

  • binterp - Coefficients of the interpolation formula for the non-stiff part (dimension s*pinterp; NULL to reuse binterpt)

Note#

Several TSARKIMEX methods are provided, this function is only needed to create new methods.

See Also#

TS: Scalable ODE and DAE Solvers, TSARKIMEX, TSType, TS

Level#

advanced

Location#

src/ts/impls/arkimex/arkimex.c

Examples#

src/ts/tutorials/ex19.c
src/ts/tutorials/ex16.c


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