Relaxed Newton-like methods for stiff differential systems
type: Item
instance of: scholarly article
title: Relaxed Newton-like methods for stiff differential systems
zbMATH Open document ID: 0621.65073
DOI: 10.1016/0377-0427(86)90176-7
published in: Journal of Computational and Applied Mathematics
publication date: 1986-01-01T00:00:00Z
review text: On présente le mode dans lequel les méthodes de Newton et celles analogues aux méthodes de Newton, sont utilisées pour résoudre les équations non linéaires qui apparaissent dans la solution numérique des équations différentielles stiff. Pour cela on tient compte d'une proposition du travail de \textit{P. E. Tischer} [The cyclic use of linear multistep formulas for the solution of stiff differential equations, Ph. D. Thesis, Monash University, Melbourne (1983)]. On montre aussi que pour améliorer les propriétés de convergence, on peut utiliser des facteurs de relaxation qui se calculent facilement. On peut appliquer la technique aussi dans la circonstance lorsque sont utilisées des méthodes de séparation. Dans le travail on adopte comme modèle la méthode de séparation que est esquisée dans la Section 2 du travail de \textit{Å. Björck}, [Lect. Notes Math. 1066, 30-43 (1984; Zbl 0542.65037)].
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4007617
zbMATH Keywords: relaxation
zbMATH Keywords: convergence
zbMATH Keywords: Newton's method
zbMATH Keywords: partitioning
zbMATH Keywords: damping
zbMATH Keywords: stiff systems
author: Tjalling J. Ypma
MaRDI profile type: Publication
full work available at URL: 0377-0427(86)90176-7
OpenAlex ID: W2066486664
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description: scientific article; zbMATH DE number 4007617