Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638460 | Journal of Computational and Applied Mathematics | 2015 | 10 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
X. Liu, M.Z. Liu,