Analysis approximate factorization in iteration methods
type: Item
instance of: scholarly article
title: Analysis approximate factorization in iteration methods
zbMATH Open document ID: 0931.65074
DOI: 10.1016/S0168-9274(98)00046-4
author: C. Eichler-Liebenow
author: P. J. van der Houwen
author: B. P. Sommeijer
published in: Applied Numerical Mathematics
publication date: 2000-02-28T00:00:00Z
review text: The article is concerned with stiff systems of ordinary differential equations arising from spiritual discretization of time- and space-dependent partial differential equations. Since numerical solvers for corresponding initial value problems must necessarily be implicit for stability reasons, a large system of equations has to be solved in each time step. For the solution of the linear systems occurring in a corresponding Newton iteration, the authors propose a parallel iterative solver based on an approximate factorization of the matrix. In particular, convergence and stability regions are derived.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 1311276
zbMATH Keywords: iterative methods
zbMATH Keywords: parallel computation
zbMATH Keywords: stiff systems
zbMATH Keywords: Newton iteration
zbMATH Keywords: factorization
zbMATH Keywords: convergence
zbMATH Keywords: stability regions
reviewed by: Michael Plum
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1311276