# TSROSWGRK4T
four stage, fourth order Rosenbrock (not W) method from Kaps and Rentrop By default, the Jacobian is only recomputed once per step.

A(89.3 degrees)-stable, |R(infty)| = 0.454.

This method does not provide a dense output formula.




## References

- **** -*** Kaps and Rentrop, Generalized Runge Kutta methods of order four with stepsize control for stiff ordinary differential equations, 1979.
- **** -*** Hairer and Wanner, Solving Ordinary Differential Equations II, Section 4 Table 7.2.


Hairer's code ros4.f


## See Also
 [](chapter_ts), `TSROSW`, `TSROSWSHAMP4`, `TSROSWVELDD4`, `TSROSW4L`

## Level
intermediate

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/rosw/rosw.c.html#TSROSWGRK4T">src/ts/impls/rosw/rosw.c</A>


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


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