On fitted modifications of Runge–Kutta–Nyström pairs

Ch. Tsitouras

Applied Mathematics and Computation, 2014, vol. 232, issue C, 416-423

Abstract: Modification of only four coefficients of the standard Runge–Kutta–Nyström pairs is enough for producing a method of the same orders that integrates exactly the harmonic oscillator as model problem. These new coefficients are O(λ2) perturbations of the initial ones, with λ the frequency of the problem. Theoretical investigation for the possibilities of order reduction is given. Numerical results over standard pairs of orders 6(4) and 8(6) justify our efforts.

Keywords: Oscillatory problems; Harmonic oscillator (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:416-423

DOI: 10.1016/j.amc.2014.01.069

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