RK-方法求解广义滞时微分方程的GPL-稳定性(英文)  

The GPL-stability of Runge-Kutta Methods for Generalized Delay Differential System

作　　者：丛玉豪 [1] 张媛颖 [2] 项家祥 [2] 

机构地区：[1]上海师范大学数学系,桂林路100号,上海,200234,上海高校计算科学E-研究院,桂林路100号,上海,200234 [2]上海师范大学数学系,桂林路100号,上海,200234

出　　处：《系统仿真学报》2005年第3期587-589,594,共4页Journal of System Simulation

基　　金：the National Nature Science Foundation (10171067);E-Institutes of Shanghai Municipal Education Commission (E03004);Shanghai Municipal Education Commission (04DB07);Shanghai Science and Technology Committee (03QA14036);The Special Funds for Ma

摘　　要：讨论了用隐式 Runge-Kutta 方法求解广义滞时微分方程的数值稳定性,分析了用隐式 Runge-Kutta 方法求解线性模型方程的 GPL-稳定性,证明了隐式 Runge-Kutta 方法是 GPL-稳定的,当且仅当它是 L-稳定的。It is discussed the asymptotic stability analysis of the IRK-method for the numerical solution of generalized delay differential equations. The GPL-stability behavior of IRK-method is analyzed for the solutions of the system of linear test equations. It is shown that the IRK-method is GPL-stable if and only if it is L-stable.

关 键 词：广义滞时微分方程 GPL-稳定性 隐式Runge-Kutta方法 L-稳定性 

分 类 号：O241.8[理学—计算数学]