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Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations. (English) Zbl 1193.65121
Summary: This paper deals with the stability analysis of the analytic and numerical solutions of linear impulsive differential equations. The numerical method with variable stepsize is defined, the conditions that the numerical solutions preserve the stability property of the analytic ones are obtained and some numerical experiments are given.
MSC:
65L06Multistep, Runge-Kutta, and extrapolation methods
34A37Differential equations with impulses