Rosenbrock方法求解多延时微分方程的GP_m-稳定性(英文)  

GP_m -Stability of the Rosenbrock method differential equations with many delays

作　　者：丛玉豪[1] 陆志雯[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2005年第2期1-4,共4页Journal of Shanghai Normal University(Natural Sciences)

基　　金：the National Nature Science Foundation(10171067)Shanghai Municipal Education Commission(No.04DB07)the Special Funds for Major Specialties of Shanghai Education Committee.

摘　　要：研究了用Rosenbrock方法求解多延时微分方程数值解的稳定性.对于线性模型方程,分析了Rosenbrock方法的GPm-稳定性,并证明Rosenbrock方法是GPm-稳定的当且仅当它是A-稳定的.This paper deals with the stability analysis of the Rosenbrock method for the numerical solution of delay differential equation with many delays. The GPm -stability behavior of the Rosenbrock method is analyzed for the solutions of linear test equations. It is shown that the Rosenbrock method is GPm -stable if and only if it is A -stable.

关 键 词：延时微分方程 GPm-稳定性 ROSENBROCK方法 

分 类 号：O241.8[理学—计算数学]