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Linear stability of general linear methods for systems of neutral delay differential equations
Authors:Chengming Huang and Qianshun Chang
Institution:

Institute of Applied Mathematics The Chinese Academy of Sciences P.O. Box 2734, Beijing, 100080, P.R. China

Abstract:This paper is concerned with the numerical solution of delay differential equations (DDEs). We focus on the stability of general linear methods for systems of neutral DDEs with multiple delays. A type of interpolation procedure is considered for general linear methods. Linear stability properties of general linear methods with this interpolation procedure are investigated. Many extant results are unified.
Keywords:Neutral delay differential equation  Stability  General linear methods
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