Article ID Journal Published Year Pages File Type
4638460 Journal of Computational and Applied Mathematics 2015 10 Pages PDF
Abstract

This paper deals with the asymptotic stability of numerical solutions for differential equations with piecewise continuous arguments (EPCAs). The necessary and sufficient condition is given for non-confluent Runge–Kutta methods to preserve the stability of nonlinear scalar EPCAs. As for systems, we prove that some algebraically stable methods can preserve the asymptotic stability.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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