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- Title
Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays.
- Authors
Huang, Chengming; Vandewalle, Stefan
- Abstract
This paper is concerned with the study of the stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. We are interested in the comparison between the analytical and numerical stability regions. First, we focus on scalar equations with real coefficients. It is proved that all Gauss-Pouzet methods can retain the asymptotic stability of the analytical solution. Then, we consider the multidimensional case. A new stability condition for the stability of the analytical solution is given. Under this condition, the asymptotic stability of Gauss-Pouzet methods is investigated.
- Publication
Frontiers of Mathematics in China, 2009, Vol 4, Issue 1, p63
- ISSN
1673-3452
- Publication type
Article
- DOI
10.1007/s11464-009-0008-6