Title of article
A 5(3) pair of explicit Runge–Kutta–Nyström methods for oscillatory problems
Author/Authors
Van de Vyver، نويسنده , , Hans، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
9
From page
708
To page
716
Abstract
New Runge–Kutta–Nyström 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.
Keywords
Explicit Runge–Kutta–Nystr?m methods , Embedded pairs , Initial value problems , Variable stepsize algorithms , Oscillating solutions
Journal title
Mathematical and Computer Modelling
Serial Year
2007
Journal title
Mathematical and Computer Modelling
Record number
1594435
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