Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations

[摘要] This paper is concerned with stability analysis of additive Runge-Kutta methods for delay-integro-differential equations. We show that if the additive Runge-Kutta methods are algebraically stable, the perturbations of the numerical solutions are controlled by the initial perturbations from the system and the methods.

[学科分类] 几何与拓扑