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, issue 1

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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https://doi.org/10.1155/2014/304071

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:304071

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