Explicit multi-step peer methods for special second-order differential equations
type: Item
instance of: scholarly article
title: Explicit multi-step peer methods for special second-order differential equations
zbMATH Open document ID: 1156.65071
author: Stefan Jebens
author: R. Weiner
author: H. Podhaisky
author: B. A. Schmitt
published in: Applied Mathematics and Computation
publication date: 2008-09-05T00:00:00Z
review text: The paper is concerned with the solution of non-stiff second order initial value problems where the right hand side has no dependence upon \(y'\). The methods under consideration are explicit two- and three-step peer methods of order \(p=2s\). The paper is structured as follows: The authors describe how the numerical methods are formulated, then consider the theory of multi-step peer methods including convergence and stability. This enables the construction of methods having optimal zero stability. Implementational issues are considered and finally numerical results are given that show how the methods perform for a variety of test problems. Comparisons with existing alternative methods show the peer methods to be competitive. Parallel and sequential methods are discussed.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 5321672
zbMATH Keywords: explicit peer methods
zbMATH Keywords: non-stiff problems
zbMATH Keywords: explicit multi-step methods
zbMATH Keywords: parallel computation
zbMATH Keywords: Runge-Kutta-Nyström methods
zbMATH Keywords: numerical results
reviewed by: Neville J. Ford
describes a project that uses: Matlab
describes a project that uses: Algorithm 670
MaRDI profile type: Publication
full work available at URL: j.amc.2008.03.025
OpenAlex ID: W2005331155
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DOI: 10.1016/J.AMC.2008.03.025
description: scientific article; zbMATH DE number 5321672