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Stability properties of numerical methods for solving delay differential equations
Authors:A.N. Al-Mutib
Affiliation:Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
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
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