Parallel iteration methods of Runge-Kutta methods for delay differential equations  

作　　者：丁效华 刘明珠 

机构地区：[1]Dep. of Mathematics, Harbin Institute of Technology(Weihai), Weihai 264209, China

出　　处：《Journal of Harbin Institute of Technology(New Series)》2004年第1期77-81,共5页哈尔滨工业大学学报（英文版）

基　　金：SponsoredbytheNationalScienceFoundationofChina(GrantNo .10 2 710 3 6)andScienceFoundationofHarbinInstituteofTechnology(WeiHai) (GrantNo .2 0 0 2-14 ;15 ) .

摘　　要：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.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 methods 

分 类 号：O241.8[理学—计算数学]