Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations

The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations. We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods. Some confirmations...

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Bibliographic Details
Main Authors: Wei Gu, Ming Wang, Dongfang Li
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/304071