Stability properties of numerical methods for solving delay differential equations

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摘要

Stability properties of numerical methods for delay differential equations are considered. Some suitable definitions for the stability of the numerical methods are included and Runge-Kutta type methods satisfying these properties are tested on a numerical example.

论文关键词:Delay differential equations,absolutely stable,A-stable,DA-stable,P-stable,Q-stable,stability regions

论文评审过程:Received 15 May 1983, Available online 10 July 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(84)90071-2