petsc-3.6.1 2015-08-06

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.

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