Stability of Runge–Kutta methods for neutral delay-integro-differential-algebraic system

Stability properties of Runge–Kutta methods for the linear neutral delay-integro-differential-algebraic system are considered. It is proved that every A-stable natural Runge–Kutta method preserves the delay-independent stability of the exact solution. Some numerical experiments are given.

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Year of publication:	2008
Authors:	Xu, Y. ; Zhao, J.J.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2008, 3, p. 571-583
Publisher:	Elsevier
Subject:	Delay \| Differential-algebraic equations \| Stability \| Numerical methods

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

Persistent link: https://www.econbiz.de/10010748916