论文信息 - Exponential Runge-Kutta methods for delay differential equations

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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