Exponential Runge–Kutta methods for delay differential equations

This paper deals with convergence and stability of exponential Runge–Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is provided. Finally, some numerical examples are presented to illustrate the main conclusions.

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Year of publication:	2010
Authors:	Xu, Y. ; Zhao, J.J. ; Sui, Z.N.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 80.2010, 12, p. 2350-2361
Publisher:	Elsevier
Subject:	Convergence \| Stability \| Runge–Kutta methods \| Delay

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

Persistent link: https://www.econbiz.de/10010870259