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The asymptotic stability of multistep multiderivative methods for systems of delay differential equations
Authors:Chengming HUANG and Qianshun CHANG Institute of Applied Mathematics  Chinese Academy of Sciences  P O Box  Beijing  China
Institution:Chengming HUANG and Qianshun CHANG Institute of Applied Mathematics,Chinese Academy of Sciences,P. O. Box 2734,Beijing 100080,China
Abstract:This paper deals with the asymptotic stability of multistep multiderivative methods for systems of delay differential equations. In particular, it is shown that A-stability of multistep multiderivative methods for ordinary differential equations is equivalent to P-stability of the induced methods for delay differential equations.
Keywords:delay differential equation  stability  multistep multiderivative methods
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