Preconditioned WR-LMF-based method for ODE systems.
type: Item
instance of: scholarly article
title: Preconditioned WR-LMF-based method for ODE systems.
zbMATH Open document ID: 1038.65062
author: Xiao-Qing Jin
author: Li-li Song
author: Vai-Kuong Sin
published in: Journal of Computational and Applied Mathematics
publication date: 2004-01-26T00:00:00Z
review text: For solving a large system of ordinary differential equations, the waveform relaxation (WR) method was developed, as an iterative method. In each WR iteration, it is required to solve an system of ordinary differential equations (ODEs). Then, for this system the authors apply the boundary value method (BVM), a new linear multistep method. For solving linear system arising from BVM method, the generalized minimal residual method with Strang-type block-circulant preconditioner, is applied. It is proved that these techniques lead to a convergent iterative process. Two numerical examples are performed.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 2032636
zbMATH Keywords: GMRES method
zbMATH Keywords: block-circulant preconditioner
zbMATH Keywords: waveform relaxation method
zbMATH Keywords: boundary value method
zbMATH Keywords: linear multistep method
zbMATH Keywords: generalized minimal residual method
zbMATH Keywords: nuemrical examples
zbMATH Keywords: convergence
reviewed by: Iulian Coroian
MaRDI profile type: Publication
full work available at URL: j.cam.2003.08.034
OpenAlex ID: W2146420668
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DOI: 10.1016/J.CAM.2003.08.034
description: scientific article; zbMATH DE number 2032636