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Convergence of Runge-Kutta Methods for Delay Differential Equations

✍ Scribed by K. J. In 't Hout


Book ID
110413317
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
265 KB
Volume
41
Category
Article
ISSN
0006-3835

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Exponential Runge–Kutta methods for dela
✍ Y. Xu; J.J. Zhao; Z.N. Sui πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 333 KB

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 provide