Abstract
The stability of Runge-Kutta methods for systems of delay differential equations (DDEs) with multiple delays is considered. The stability regions of explicit and implicit Runge-Kutta methods are discussed when they are applied to asymptotically stable linear DDEs with multiple delays. A simple estimate on the stability regions of explicit Runge-Kutta methods is presented. It is shown that the stable step-size for numerical integration of DDEs with multiple delays can be easily selected by means of the estimate.
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