Implicit parallel peer methods for stiff initial value problems
type: Item
instance of: scholarly article
title: Implicit parallel peer methods for stiff initial value problems
zbMATH Open document ID: 1072.65108
author: R. Weiner
author: Karin Erdmann
author: B. A. Schmitt
published in: Applied Numerical Mathematics
publication date: 2005-04-21T00:00:00Z
review text: The authors consider initial value problems for stiff ordinary differential equations. They derive a class of implicit two-step integration methods having \(s\)-stages which may be computed in parallel. A special representation of the matrices allows to construct a subclass of methods being stable for general stepsize sequences. There are some numerical examples that illustrate the obtained results.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 2160274
zbMATH Keywords: Peer methods
zbMATH Keywords: stiff systems
zbMATH Keywords: singularly perturbation
zbMATH Keywords: parallel computation
zbMATH Keywords: stability
zbMATH Keywords: numerical examples
reviewed by: Vladimir L. Makarov
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.08.019
OpenAlex ID: W1979279579
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DOI: 10.1016/J.APNUM.2004.08.019
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description: scientific article; zbMATH DE number 2160274