Stability properties of numerical methods for solving delay differential equations

doi:10.1016/0377-0427(84)90071-2

Journal of Computational and Applied Mathematics

Volume 10, Issue 1, February 1984, Pages 71-79

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Abstract

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.

Keywords

Delay differential equations

absolutely stable

A-stable

DA-stable

P-stable

Q-stable

stability regions