Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization.
type: Item
instance of: scholarly article
title: Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization.
zbMATH Open document ID: 1047.65117
author: Stefan Vandewalle
author: Cheng-Jian Zhang
published in: Journal of Computational and Applied Mathematics
publication date: 2004-03-15T00:00:00Z
review text: The authors study the stability of the analytical solutions of initial value problems of a general class of systems of Volterra delay-integro-diferential equations. Numerical methods based on backward differentiation formulae (BDF) and repeated quadrature formulae are suggested. Nonlinear and linear stability conditions for the presented methods are derived. For numerical analyses of the given problem the underlying BDF methods for stiff ordinary differential equations is used.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G15
zbMATH DE Number: 2057263
zbMATH Keywords: stability
zbMATH Keywords: systems
zbMATH Keywords: Volterra delay-integro-differential equations
zbMATH Keywords: backward differentiation formulae
zbMATH Keywords: repeated quadrature formulae
reviewed by: Stanislav Míka
MaRDI profile type: Publication
full work available at URL: j.cam.2003.09.013
OpenAlex ID: W2047038715
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DOI: 10.1016/J.CAM.2003.09.013
description: scientific article; zbMATH DE number 2057263