Stability analysis of the de Hoog and Weiss implicit Runge-Kutta methods for the Volterra integral and integrodifferential equations

摘要

The stability of the de Hoog and Weiss Runge-Kutta methods is analyzed for the Volterra integrodifferential equations with respect to the basic test equation and for Volterra integral equations with respect to the linear convolution equation. Stability regions are determined for some choices of the parameters.