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# TSROSWGRK4T

four stage, fourth order Rosenbrock (not W) method from Kaps and Rentrop [KR79] 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.

## Note

See Section 4 Table 7.2 in [WH96]

## References

[KR79]

Peter Kaps and Peter Rentrop. Generalized Runge–Kutta methods of order four with stepsize control for stiff ordinary differential equations. Numerische Mathematik, 33:55–68, 1979.

[WH96]

Gerhard Wanner and Ernst Hairer. Solving ordinary differential equations II. Volume 375. Springer Berlin Heidelberg New York, 1996.

## See Also

TS: Scalable ODE and DAE Solvers, `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