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Fixed versus variable order Runge-Kutta. (English) Zbl 0594.65047

The aim of the paper consists in a comparison of the numerical efficiency of a variable order Runge-Kutta code based on polynomial extrapolation of the midpoint rule to a fixed order Runge-Kutta method consisting of a (7,8) pair with a 13-stage formula of order 8. After an extensive report on numerical experiments with a restricted three body problem the authors arrive at the conclusion that their fixed order method turns out to be more efficient than the best extrapolation procedures.
Reviewer: G.Merz

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
70F07 Three-body problems
34A34 Nonlinear ordinary differential equations and systems
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