Some Stability and Convergence of Additive Runge-Kutta Methods for Delay Differential Equations with Many Delays

This paper is devoted to the stability and convergence analysis of the additive Runge-Kutta methods with the Lagrangian interpolation (ARKLMs) for the numerical solution of a delay differential equation with many delays. GDN stability and D-Convergence are introduced and proved. It is shown that str...

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Bibliographic Details
Main Authors: Haiyan Yuan, Jingjun Zhao, Yang Xu
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/456814
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