Article ID Journal Published Year Pages File Type
4630822 Applied Mathematics and Computation 2011 10 Pages PDF
Abstract

In this paper we consider the analytical and numerical stability regions of Runge–Kutta methods for differential equations with piecewise continuous arguments with complex coefficients. It is shown that the analytical stability region contained in the numerical one is violated for a∉Ra∉R by the geometric technique. And we give the conditions under which the analytical stability region is contained in the union of the numerical stability regions of two Runge–Kutta methods. At last, some experiments are given.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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