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