A Runge-Kutta-Nystrom pair for the numerical integration of perturbed oscillators

被引：23
作者：
de Vyver, HV
机构：
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2005年 / 167卷 / 02期
关键词：
explicit Runge-Kutta-Nystrom methods; embedded pairs; variable step-size algorithms; initial value problems; oscillating solutions;
D O I：
10.1016/j.cpc.2004.12.011
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
New Runge-Kutta-Nystrom methods especially designed for the numerical integration of perturbed oscillators are presented in this paper. They are capable of exactly integrating the harmonic or unperturbed oscillator. We construct an embedded 4(3) RKN pair that is based on the FSAL property. The new method is much more efficient than previously derived RKN methods for some subclasses of problems. (c) 2005 Elsevier B.V. All rights reserved.
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收藏
页码：129 / 142
页数：14
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