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.
出处
《系统仿真学报》
CAS
CSCD
北大核心
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
