petsc-3.14.5 2021-03-03
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# 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

| 1. | - Kaps and Rentrop, Generalized Runge Kutta methods of order four with stepsize control for stiff ordinary differential equations, 1979.
| 2. | - Hairer and Wanner, Solving Ordinary Differential Equations II, Section 4 Table 7.2.

Hairer's code ros4.f

### See Also

TSROSW, TSROSWSHAMP4, TSROSWVELDD4, TSROSW4L

### Level

intermediate

### Location

src/ts/impls/rosw/rosw.c
Index of all TS routines
Table of Contents for all manual pages
Index of all manual pages