petsc-3.10.5 2019-03-28
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# TSARKIMEXRegister

register an ARK IMEX 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[])

Not Collective, but the same schemes should be registered on all processes on which they will be used

### 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)

### Notes

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

### Keywords

TS, register

### See Also

TSARKIMEX

### Level

advanced

### Location

src/ts/impls/arkimex/arkimex.c

### Examples

src/ts/examples/tutorials/ex16.c.html
src/ts/examples/tutorials/ex19.c.html
src/ts/examples/tutorials/ex20.c.html
Index of all TS routines
Table of Contents for all manual pages
Index of all manual pages