隐式Runge-Kutta方法求解多延迟微分方程的GPL_m-稳定性(英文)  

GPL_m-stability of the implicit Runge-Kutta method for delay differential equations with many delays

作　　者：项家祥[1] 崔义娟[1] 丛玉豪[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）》2008年第2期111-116,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：The National Natural Science Foundation (10741003);Shanghai Municipal Education Commission(07ZZ64)

摘　　要：研究了用IRK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,分析并证明了IRK方法是GPLm-稳定的当且仅当它是L稳定的.This paper deals with the stability of the IRK method for the numerical solution of a delay differential equation with many delays. The GPLm-stability of the IRK method is analyzed for the solutions of linear test equations. It is shown that the IRK method is GPLm-stable if and only if it is L-stable.

关 键 词：延时微分方程 GPLm-稳定性 隐式Rungc-Kutta方法 

分 类 号：O211.6[理学—概率论与数理统计]