Stability analysis of numerical methods for systems of neutral delay-differential equations
Stability analysis of numerical methods for systems of neutral delay-differential equations
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DOI：
10.1007/bf01739823
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发表时间：
1995-12
影响因子：
1.5
通讯作者：
G. Hu;T. Mitsui
中科院分区：
文献类型：
--
作者：
G. Hu;T. Mitsui
研究了中立型延迟微分方程组的几种典型数值方法的稳定性分析。在建立了线性非定常微分方程渐近稳定的充分条件后，讨论了线性多步法、显式Runge-Kutta方法和隐式A-稳定Runge-Kutta方法应用于渐近稳定的线性非定常微分方程组时的稳定域。并对多时滞情况下结果的推广作了一些说明。
Stability analysis of some representative numerical methods for systems of neutral delay-differential equations (NDDEs) is considered. After the establishment of a sufficient condition of asymptotic stability for linear NDDEs, the stability regions of linear multistep, explicit Runge-Kutta and implicitA-stable Runge-Kutta methods are discussed when they are applied to asymptotically stable linear NDDEs. Some mentioning about the extension of the results for the multiple delay case is given.