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

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 syste...

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Bibliographic Details
Main Authors: Hongyu Qin, Zhiyong Wang, Fumin Zhu, Jinming Wen
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2018/8241784