A class of contractive second derivatives multistep methods
type: Item
instance of: scholarly article
title: A class of contractive second derivatives multistep methods
zbMATH Open document ID: 0669.65071
DOI: 10.1016/0096-3003(89)90117-3
author: Fernanda Patrício
author: Paula de Oliveira
published in: Applied Mathematics and Computation
publication date: 1989-01-01T00:00:00Z
review text: This article studies contractivityproperties (with respect to the max- norm) of second derivative multistep methods, when they are applied to stiff differential equations. Sufficient conditions are given under which the contractivity region is closed and connected by arcs of circle. For methods with this property a characterization of \(A_ 0\)-contractivity and of A-contractivity is presented.
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4096725
zbMATH Keywords: contractivity
zbMATH Keywords: second derivative multistep methods
zbMATH Keywords: stiff differential equations
zbMATH Keywords: \(A_ 0\)-contractivity
zbMATH Keywords: A-contractivity
reviewed by: Ernst Hairer
MaRDI profile type: Publication
full work available at URL: 0096-3003(89)90117-3
OpenAlex ID: W4229814196
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description: scientific article; zbMATH DE number 4096725