On the stability of Runge-Kutta methods for delay integral equations |
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Authors: | R Vermiglio |
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Institution: | (1) Dipartimento di Matematica ed Informatica, Università di Udine, I-33100 Udine, Italy |
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Abstract: | Summary We present a class of Runge-Kutta methods for the numerical solution of a class of delay integral equations (DIEs) described by two different kernels and with a fixed delay . The stability properties of these methods are investigated with respect to a test equation with linear kernels depending on complex parameters. The results are then applied to collocation methods. In particular we obtain that any collocation method for DIEs, resulting from anA-stable collocation method for ODEs, with a stepsize which is submultiple of the delay , preserves the asymptotic stability properties of the analytic solutions.This work was supported by CNR (Italian National Council of Research) |
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Keywords: | 65R99 |
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