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TW 348
C. Zhang, S. Vandewalle
Stability Analysis of Runge-Kutta Methods for Nonlinear Volterra Delay-integro-differential Equations
Abstract
This paper deals with the stability of Runge-Kutta methods for a class of stiff systems of nonlinear Volterra delay-integro-differential equations. Two classes of methods are considered: Runge-Kutta methods extended with a linear compound quadrature rule, and Runge-Kutta methods extended with a Pouzet type quadrature technique. Global and asymptotic stability criteria for both types of methods are derived.
report.pdf / mailto: S. Vandewalle