求解时滞微分方程组的Rosenbrock方法的GP-稳定性  

GP-Stability of Rosenbrock Methods for System of Delay Differential Equation

作　　者：丛玉豪[1] 才佳宁[1] 项家祥[1] 

机构地区：[1]上海师范大学数学系,上海200234

出　　处：《应用数学和力学》2004年第12期1285-1291,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10171067)

摘　　要：　讨论了求解延时微分方程组的Rosenbrock方法的数值稳定性,分析了求解线性试验方程组的Rosenbrock方法的稳定性态。The stability analysis of the Rosenbrock method for the numerical solutions of system of delay differential equations was studied. The stability behavior of Rosenbrock method was analyzed for the solutions of linear test equation. The result that the Rosenbrock method is GP_stable if and only if it is A_stable is obtained.

关 键 词：延时微分方程 ROSENBROCK方法 GP-稳定性 

分 类 号：O241.8[理学—计算数学]