首页|期刊导航|哈尔滨工业大学学报（英文版）|Parallel iteration methods of Runge-Kutta methods for delay differential equations
哈尔滨工业大学学报（英文版）2004，Vol.11Issue(1)：77-81,5.
Parallel iteration methods of Runge-Kutta methods for delay differential equations
Parallel iteration methods of Runge-Kutta methods for delay differential equations
摘要
Abstract
This paper deals with the parallel diagonal implicit Runge-Kutta methods for solving DDEs with a constant delay. It is shown that the suitable choice of the predictor matrix can guarantee the stability of the methods. It is proved that for the suitable selection of the diagonal matrix D, the method based on Radau IIA is δ-convergent, and the estimates for the non-stiff speed and the stiff speed of convergence are given.关键词
Runge-Kutta methods/Parallelism across the steps/PDIRK methodsKey words
Runge-Kutta methods/Parallelism across the steps/PDIRK methods分类
数理科学引用本文复制引用
丁效华,刘明珠..Parallel iteration methods of Runge-Kutta methods for delay differential equations[J].哈尔滨工业大学学报（英文版）,2004,11(1):77-81,5.基金项目
Sponsored by the National Science Foundation of China( Grant No. 10271036 ) and Science Foundation of Harbin Institute of Technology(WeiHai) (Grant No. 2002 - 14,15 ). （ Grant No. 10271036 ）
