Article ID Journal Published Year Pages File Type
469997 Computers & Mathematics with Applications 2008 9 Pages PDF
Abstract

This paper is concerned with the numerical solution of delay integro-differential equations. The adaptation of linear multistep methods is considered. The emphasis is on the linear stability of numerical methods. It is shown that every A-stable, strongly 0-stable linear multistep method of Pouzet type can preserve the delay-independent stability of the underlying linear systems. In addition, some delay-dependent stability conditions for the stability of numerical methods are also given.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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