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Stability of linear multistep methods for delay integro-differential equations
- Source :
-
Computers & Mathematics with Applications . Jun2008, Vol. 55 Issue 12, p2830-2838. 9p. - Publication Year :
- 2008
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 55
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 32030221
- Full Text :
- https://doi.org/10.1016/j.camwa.2007.09.005