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# 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

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