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Convergence of a New Adapting Runge-Kutta Method to Delay Differential Equations
引用本文:储钟武,邱深山,刘明珠. Convergence of a New Adapting Runge-Kutta Method to Delay Differential Equations[J]. 哈尔滨工业大学学报(英文版), 1996, 0(4)
作者姓名:储钟武  邱深山  刘明珠
作者单位:Dept. of Mathematics,Harbin Institute of Technology,Harbin,150001,China
摘    要:ConvergenceofaNewAdaptingRunge-KuttaMethodtoDelayDifferentialEquationsCHUZhongwu;QIUShenshan;LIUMingzhu(储钟武)(邱深山)(刘明珠)(Dept.o...


Convergence of a New Adapting Runge-Kutta Method to Delay Differential Equations
CHU Zhongwu, QIU Shenshan, LIU Mingzhu. Convergence of a New Adapting Runge-Kutta Method to Delay Differential Equations[J]. Journal of Harbin Institute of Technology (New Series), 1996, 0(4)
Authors:CHU Zhongwu   QIU Shenshan   LIU Mingzhu
Abstract:The adapting Runge-Kutta methods with a new interpolation procedure to delay differential equations was introduced by K.J. in't Hout in 1992[1], he proved that the numerical process, satisfies an important asymptotic stability condition. In this paper the convergence of this method under the asymptotic stability and other conditions in theorem 3 is proved.
Keywords:ss: Delay differential equation   adapting Runge-Kutta method   asymptotic
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