Numerical stability, resolvent conditions and delay differential equations
type: Item
instance of: scholarly article
title: Numerical stability, resolvent conditions and delay differential equations
zbMATH Open document ID: 0880.65064
DOI: 10.1016/S0168-9274(97)00023-8
published in: Applied Numerical Mathematics
publication date: 1998-02-02T00:00:00Z
review text: The paper deals with the problem of estimating a priori the error growth in discretizations of linear initial value problems. Recently new tools for stability analysis were developed that are related to the so-called resolvent condition of Kreiss. The purpose of this paper is to review, extend and apply some of these recent stability estimates which are valid under the Kreiss resolvent condition under a strong version and a weak version thereof. An application of the Kreiss resolvent condition in the error growth analysis of numerical methods for delay differential equations is presented.
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34K05
zbMATH DE Number: 1036656
zbMATH Keywords: stability
zbMATH Keywords: Kreiss resolvent condition
zbMATH Keywords: error growth analysis
zbMATH Keywords: delay differential equations
author: Marc N. Spijker
reviewed by: Maria Gousidou-Koutita
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1036656