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Exponential Runge–Kutta methods for delay differential equations

✍ Scribed by Y. Xu; J.J. Zhao; Z.N. Sui

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
333 KB
Volume
80
Category
Article
ISSN
0378-4754

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✦ Synopsis

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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