RK-方法求解广义滞时微分方程的GPL-稳定性
RK-방법구해엄의체시미분방정적GPL-은정성
The GPL-stability of Runge-Kutta Methods for Generalized Delay Differential System
  • 万方数据
    系统仿真学报 계통방진학보
    JOURNAL OF SYSTEM SIMULATION
    2005年 3期 587-589,594 ,共4页

    丛玉豪%张媛颖%项家祥

    총옥호%장원영%항가상

    广义滞时微分方程%GPL-稳定性%隐式Runge-Kutta方法%L-稳定性 廣義滯時微分方程%GPL-穩定性%隱式Runge-Kutta方法%L-穩定性
    엄의체시미분방정%GPL-은정성%은식Runge-Kutta방법%L-은정성
    generalized delay differential equation%GPL-stability%implicit Runge-Kutta method%L-stability
    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.
    토론료용은식Runge-Kutta방법구해엄의체시미분방정적수치은정성,분석료용은식Runge-Kutta방법구해선성모형방정적GPL-은정성,증명료은식Runge-Kutta방법시GPL-은정적,당차부당타시L-은정적.
    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.
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