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TW 361
C. Huang and S. Vandewalle
Stability of Runge-Kutta-Pouzet methods for Volterra
integral and integro-differential equations with delays
Abstract
Abstract: This paper is concerned with the study of the delay-dependent stability of Runge-Kutta-Pouzet methods for Volterra integral and integro-differential equations with delays. We are interested in the comparison between analytical and numerical stability regions. It is proved that all Gauss-Pouzet methods can retain the asymptotic stability of both delay integro-differential equations with real coefficients and delay integral equations of the second kind with complex coefficients. The Lobatto IIIC-Pouzet methods violate this property.
report.pdf / mailto: S. Vandewalle