:orphan:
# TSIRK
ODE and DAE solver using Implicit Runge-Kutta schemes 


## Notes
`TSIRK` uses the sparse Kronecker product matrix implementation of `MATKAIJ` to achieve good arithmetic intensity.

Gauss-Legrendre methods are currently supported. These are A-stable symplectic methods with an arbitrary number of stages. The order of accuracy is 2s
when using s stages. The default method uses three stages and thus has an order of six. The number of stages (thus order) can be set with
-ts_irk_nstages or `TSIRKSetNumStages()`.


## See Also
 [](ch_ts), `TSCreate()`, `TS`, `TSSetType()`, `TSIRKSetType()`, `TSIRKGetType()`, `TSIRKGAUSS`, `TSIRKRegister()`, `TSIRKSetNumStages()`, `TSType`

## Level
beginner

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/implicit/irk/irk.c.html#TSIRK">src/ts/impls/implicit/irk/irk.c</A>


---
[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/ts/impls/implicit/irk/irk.c)


[Index of all TS routines](index.md)  
[Table of Contents for all manual pages](/manualpages/index.md)  
[Index of all manual pages](/manualpages/singleindex.md)