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Stability of multistep Runge-Kutta methods for systems of functional-differential and functional equations

✍ Scribed by Siqing Gan; Weimin Zheng

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 274 KB
Volume: 17
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(04)90130-9

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✦ Synopsis

This paper is concerned with the stability of multistep R.unge-Kutta methods applied to linear systems of functional-differential and functional equations. The adaptation of multistep Runge-Kutta methods is considered. It is proved that, under some reasonable assumptions, Astability multistep Runge-Kutta methods can inherit the asymptotic stability of underlying linear systems.

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