Errors of linear multistep methods for singularly perturbed Volterra delay-integro-differential equations

This paper is concerned with the error behaviour of linear multistep methods applied to singularly perturbed Volterra delay-integro-differential equations. We derive global error estimates of A(α)-stable linear multistep methods with convergent quadrature rule. Numerical experiments confirm our theoretical analysis.

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Year of publication:	2009
Authors:	Wu, Shifeng ; Gan, Siqing
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2009, 10, p. 3148-3159
Publisher:	Elsevier
Subject:	Singularly perturbed systems \| Volterra delay-integro-differential equations \| Linear multistep methods \| Error analysis \| Quadrature rule

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011051087