A generalization to variable stepsizes of Störmer methods for second-order differential equations
type: Item
instance of: scholarly article
title: A generalization to variable stepsizes of Störmer methods for second-order differential equations
zbMATH Open document ID: 0856.65088
DOI: 10.1016/0168-9274(95)00107-7
author: Bosco García-Archilla
author: Begoña Cano
published in: Applied Numerical Mathematics
publication date: 1997-02-24T00:00:00Z
review text: An extension to the multistep Störmer method for variable stepsize is presented. The stability and convergence of the new method are examined and a numerical study is carried out. The conclusion is that the new method, for the problems investigated, compares to other multistep methods but is inferior to modern Runge-Kutta-Nyström methods. However, due to slower error growth, some advantage might exist for long-time integrations.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L50
zbMATH DE Number: 897520
zbMATH Keywords: multistep Störmer method
zbMATH Keywords: variable stepsize
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: Runge-Kutta-Nyström methods
reviewed by: Claus Bendtsen
describes a project that uses: VODE
MaRDI profile type: Publication
full work available at URL: 0168-9274(95)00107-7
OpenAlex ID: W2094159157
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description: scientific article; zbMATH DE number 897520