隐式Runge-Kutta方法求解多延迟微分方程的GPLm-稳定性
은식Runge-Kutta방법구해다연지미분방정적GPLm-은정성
GPLm-stability of the implicit Runge-Kutta method for delay differential equations with many delays
  • 万方数据
    上海师范大学学报（自然科学版） 상해사범대학학보（자연과학판）
    JOURNAL OF SHANGHAI TEACHERS UNIVERSITY(NATURAL SCIENCES)
    2008年 2期 111-116 ,共6页

    项家祥%崔义娟%丛玉豪

    항가상%최의연%총옥호

    延时微分方程%GPLm-稳定性%隐式Runge-Kutta方法 延時微分方程%GPLm-穩定性%隱式Runge-Kutta方法
    연시미분방정%GPLm-은정성%은식Runge-Kutta방법
    delay differential equation%GPLm-stability%implicit Runge-Kutta method
    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.
    연구료용IRK방법구해다연시미분방정수치해적은정성,대우선성모형방정,분석병증명료IRK방법시GPLm-은정적당차부당타시L은정적.
    This paper deals with the stability of the IRK method for the numerical solution of a delay differential e-quation 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 ff and only ff it is L-stable.
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