Title of article
A Runge–Kutta–Nyström pair for the numerical integration of perturbed oscillators Original Research Article
Author/Authors
Hans Van de Vyver، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
14
From page
129
To page
142
Abstract
New Runge–Kutta–Nyström 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.
Keywords
Embedded pairs , Oscillating solutions , Variable step-size algorithms , Initial value problems , Explicit Runge–Kutta–Nystr?m methods
Journal title
Computer Physics Communications
Serial Year
2005
Journal title
Computer Physics Communications
Record number
1136804
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