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Families of Runge-Kutta-Nyström formulae. (English) Zbl 0624.65059
The paper deals with the numerical integration of the initial value problem (1) y '' (x)=f(x,y(x)); y(x 0 )=y 0 , y ' (x 0 )=y 0 ' . Embedded explicit Runge-Kutta-Nyström (RKN) methods are derived for the solution of (1) utilizing the fact that f does not depend on y’. A comparison (based on numerical tests) is made with the standard RKN methods.
Reviewer: V.A.Velev

MSC:
65L05Initial value problems for ODE (numerical methods)
34A34Nonlinear ODE and systems, general