Linearly implicit Runge-Kutta methods and approximate matrix factorization.
type: Item
instance of: scholarly article
title: Linearly implicit Runge-Kutta methods and approximate matrix factorization.
zbMATH Open document ID: 1070.65085
author: M. Calvo
author: Alf Gerisch
published in: Applied Numerical Mathematics
publication date: 2005-04-21T00:00:00Z
review text: The paper deals with the analysis of the use of approximate matrix factorization for solving the stage equations in linearly implicit Runge-Kutta methods. The authors derive a correction which allows an order two and preserve the main stability properties of the linearly implicit Runge-Kutta method. This is illustrated on the taxis-diffusion-reaction systems from mathematical biology.
reviewed by: Emil Minchev
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 2160258
zbMATH Keywords: PDEs
zbMATH Keywords: Taxis-diffusion-reaction problems
zbMATH Keywords: method of lines
zbMATH Keywords: linearly implicit Runge-Kutta methods
zbMATH Keywords: approximate matrix factorization
zbMATH Keywords: stability
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.09.002
OpenAlex ID: W2035184018
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DOI: 10.1016/J.APNUM.2004.09.002
description: scientific article; zbMATH DE number 2160258