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Zbl 1193.65121
Liu, M.Z.; Liang, Hui; Yang, Z.W.
Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations.
(English)
[J] Appl. Math. Comput. 192, No. 2, 346-357 (2007). ISSN 0096-3003

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 2000:
*65L06 Multistep, Runge-Kutta, and extrapolation methods
34A37 Differential equations with impulses

Keywords: linear; impulsive differential equation; Runge-Kutta method; asymptotic stability

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