Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations

Wei Gu, Ming Wang and Dongfang Li

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

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 of the conditions on Runge-Kutta methods are illustrated at last.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:304071

DOI: 10.1155/2014/304071

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