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计算数学  2000 

DISSIPATIVITY OF LINEAR 0-METHODS FOR DELAY DYNAMICAL SYSTEMS
延迟动力系统线性θ-方法的散逸性

Keywords: Dynamical systems,delay,linear -methods,dissipativitytabular
线性θ-方法
,散逸性,延迟动力系统,数值解,微分方程

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Abstract:

This paper is concerned with the numerical solution of delay dynamical systems. We focus on dissipativity of numerical methods.It is proved that a linear -method is dissipative for finite-dimensionaldelay dynamical systems if and only if 1/2≤θ≤ 1.

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