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求解时滞微分方程组的Rosenbrock方法的GP-稳定性 被引量：7

GP-Stability of Rosenbrock Methods for System of Delay Differential Equation
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摘要 　讨论了求解延时微分方程组的Rosenbrock方法的数值稳定性,分析了求解线性试验方程组的Rosenbrock方法的稳定性态。 The stability analysis of the Rosenbrock method for the numerical solutions of system of delay differential equations was studied. The stability behavior of Rosenbrock method was analyzed for the solutions of linear test equation. The result that the Rosenbrock method is GP_stable if and only if it is A_stable is obtained.
作者 丛玉豪 才佳宁 项家祥
机构地区 上海师范大学数学系
出处 《应用数学和力学》 EI CSCD 北大核心 2004年第12期1285-1291,共7页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(10171067)
关键词 延时微分方程 ROSENBROCK方法 GP-稳定性 delay differential equation Rosenbrock method GP_stability
分类号 O241.8 [理学—计算数学]
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参考文献2

二级参考文献14

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共引文献6

同被引文献24

  • 1Biao Yang,Lin Qiu,Jiao-xun Kuang(Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.).THE GPL-STABILITY OF RUNGE-KUTTA METHODS FORDELAY DIFFERENTIAL SYSTEMS[J].Journal of Computational Mathematics,2000,18(1):75-82. 被引量：2
  • 2王晚生,李寿佛.非线性中立型延迟微分方程稳定性分析[J].计算数学,2004,26(3):303-314. 被引量：18
  • 3刘建国,甘四清.比例延迟微分方程组Rosenbrock方法的渐近稳定性[J].系统仿真学报,2006,18(12):3365-3368. 被引量：1
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  • 9CONG Y H, CAI J N, KUANG J X. The GPL-stabillity of Rosenbrock methods for delay differential equation[J]. Applied Mathematics and Computation, 2004, 150: 533-542.
  • 10CONG Y H, LU Z W. GPm-Stability of the Rosenbrock method for differential equations with many delays[J]. Journal of Shanghai Teachers University (Natural Sciences), 2005, 34(2):1-4.

引证文献7

二级引证文献3

应用数学和力学
2004年 第12期

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