Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630822 | Applied Mathematics and Computation | 2011 | 10 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
W.J. Lv, Z.W. Yang, M.Z. Liu,