A 5(3) pair of explicit Runge-Kutta-Nyström methods for oscillatory problems

Authors:
Hans Van De Vyver
Affiliations:
Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Heverlee, Belgium
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

Citing 6
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Abstract

New Runge-Kutta-Nystrom methods especially designed for the numerical integration of periodic initial value problems are presented in this paper. They are able to integrate exactly the harmonic oscillator. Here we analyze the construction of an embedded 5(3) RKN pair with four stages. Numerical experiments indicate that the new pair is more efficient than some previously derived RKN pairs.