|
|||||
|
|
Numerical stability analysis of differential equations with piecewise constant arguments with complex coefficients |
|
| Authors: | WJ Lv ZW Yang MZ Liu |
| Institution: | a School of Mathematical Science, Heilongjiang University, Harbin 150080, China b Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China c Science Research Center, The Academy of Fundamental and Interdisciplinary Science, Harbin Institute of Technology, Harbin 150001, China |
| 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∉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: | Differential equations with piecewise constant arguments Runge-Kutta methods Padé -approximations Adjoint methods |
| 本文献已被 ScienceDirect 等数据库收录！ | |