A \(5(3)\) pair of explicit Runge-Kutta-Nyström methods for oscillatory problems
type: Item
instance of: scholarly article
title: A \(5(3)\) pair of explicit Runge-Kutta-Nyström methods for oscillatory problems
zbMATH Open document ID: 1165.65368
published in: Mathematical and Computer Modelling
publication date: 2009-07-09T00:00:00Z
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 5577142
zbMATH Keywords: explicit Runge-Kutta-Nyström methods
zbMATH Keywords: embedded pairs
zbMATH Keywords: variable stepsize algorithms
zbMATH Keywords: initial value problems
zbMATH Keywords: oscillating solutions
author: Hans Van de Vyver
MaRDI profile type: Publication
full work available at URL: j.mcm.2006.07.016
OpenAlex ID: W2059392318
cites work: Solving Ordinary Differential Equations I
cites work: Runge-Kutta algorithms for oscillatory problems
cites work: Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
cites work: Exponentially-fitted explicit Runge-Kutta methods
cites work: Mixed collocation methods for \(y''=f(x,y)\)
cites work: Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions
cites work: A phase-fitted collocation-based Runge-Kutta-Nyström method
cites work: A new modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems
cites work: A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
cites work: New methods for oscillatory problems based on classical codes
cites work: A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators.
cites work: Stabilization of Cowell's method
DOI: 10.1016/J.MCM.2006.07.016
description: scientific article; zbMATH DE number 5577142