THE GPL-STABILITY OF RUNGE-KUTTA METHODS FORDELAY DIFFERENTIAL SYSTEMS 被引量：2

THE GPL-STABILITY OF RUNGE-KUTTA METHODS FORDELAY DIFFERENTIAL SYSTEMS

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摘要 Presents a study which dealt with stability of the implicit Runge-Kutta methods for the numerical solutions of the systems of delay differential equations. Stability behavior of the methods; Exponential solutions of the equations. Presents a study which dealt with stability of the implicit Runge-Kutta methods for the numerical solutions of the systems of delay differential equations. Stability behavior of the methods; Exponential solutions of the equations.

作者 Biao Yang Lin Qiu Jiao-xun Kuang(Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.)

出处《Journal of Computational Mathematics》 SCIE CSCD 2000年第1期75-82,共8页 计算数学（英文）

关键词 delay differential equation implicit Runge-Kutta methods GPL-stability delay differential equation implicit Runge-Kutta methods GPL-stability

分类号 O231 [理学—运筹学与控制论]

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相关文献

参考文献12

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二级参考文献3

1K. J. In ’t Hout. A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations[J] 1992,BIT(4):634～649
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同被引文献3

1丛玉豪,才佳宁,项家祥.求解时滞微分方程组的Rosenbrock方法的GP-稳定性[J].应用数学和力学,2004,25(12):1285-1291. 被引量：7
2匡蛟勋.块θ-方法的PL-稳定性[J].计算数学,1997,19(2):135-140. 被引量：5
3陈丽容,刘德贵.组合RK-Rosenbrock方法及其稳定性分析[J].计算数学,2000,22(3):319-332. 被引量：6

引证文献2

1丛玉豪,才佳宁,项家祥.求解时滞微分方程组的Rosenbrock方法的GP-稳定性[J].应用数学和力学,2004,25(12):1285-1291. 被引量：7
2蒋成香.两步Runge-Kutta方法求解延迟微分方程的GPL-稳定性(英文)[J].上海师范大学学报（自然科学版）,2010,39(4):344-351.

二级引证文献7

1项家祥,丛玉豪.Rosenbrock方法求解广义延时微分方程的GP-稳定性(英文)[J].上海师范大学学报（自然科学版）,2005,34(1):1-5.
2刘建国,甘四清.多比例延迟微分方程Rosenbrock方法的渐近稳定性[J].长沙交通学院学报,2005,21(4):52-57.
3祝乔,肖爱国.广义多时滞线性定常系统ROSENBROCK方法的渐近稳定性及在控制中的应用[J].湘潭大学自然科学学报,2008,30(4):24-31.
4覃婷婷,张诚坚.时滞积分微分方程的Rosenbrock方法[J].应用数学,2009,22(4):908-912. 被引量：1
5蒋成香.两步Runge-Kutta方法求解延迟微分方程的GPL-稳定性(英文)[J].上海师范大学学报（自然科学版）,2010,39(4):344-351.
6丛玉豪,蒋成香.两步Runge-Kutta法求解延迟微分方程的GPL_m-稳定性(英文)[J].系统仿真学报,2011,23(7):1366-1368. 被引量：1
7张明坤,王艳沛,赵欢欢.中立型时滞微分方程Rosenbrock方法的弱时滞相关稳定性[J].上海大学学报（自然科学版）,2021,27(1):208-217. 被引量：1

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Journal of Computational Mathematics

2000年第1期

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