Convergence and stability analyses of multi-time step algorithm for parabolic systems
type: Item
instance of: scholarly article
title: Convergence and stability analyses of multi-time step algorithm for parabolic systems
zbMATH Open document ID: 0772.65063
DOI: 10.1016/0045-7825(93)90107-9
author: Yanyan Li
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1993-06-29T00:00:00Z
review text: Die Arbeit befaßt sich mit der numerischen Integration gewöhnlicher Differentialgleichungssysteme, die durch Semidiskretisierung parabolischer Systeme entstehen. Es werden Mehrschritt-Verfahren untersucht, bei denen die Zeitschrittweiten auch von den Bereichen der Ortsdiskretisierung abhängen dürfen. Durch dieses Vorgehen kann die Effizienz der Verfahren unter Umständen erheblich gesteigert werden. Es werden eine Konsistenz- und Konvergenzanalyse erstellt sowie Stabilitätsbedingungen hergeleitet.
reviewed by: K.Finck von Finckenstein
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K45
zbMATH DE Number: 219610
zbMATH Keywords: multi-time step algorithm
zbMATH Keywords: consistency
zbMATH Keywords: convergence
zbMATH Keywords: subcycling algorithm
zbMATH Keywords: stability
zbMATH Keywords: parabolic systems
MaRDI profile type: Publication
full work available at URL: 0045-7825(93)90107-9
OpenAlex ID: W1968272339
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description: scientific article; zbMATH DE number 219610