| 求解中立型比例延迟微分方程组Rosenbrock方法的渐近稳定性 |
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| 引用本文： | 刘建国,甘四清.求解中立型比例延迟微分方程组Rosenbrock方法的渐近稳定性[J].河南大学学报(自然科学版),2007,37(1):5-10. |
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| 作者姓名： | 刘建国 甘四清 |
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| 作者单位： | 1. 怀化学院,数学系,湖南,怀化,418008;中南大学,数学科学与计算技术学院,长沙,410075
2. 中南大学,数学科学与计算技术学院,长沙,410075 |
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| 摘 要： | 讨论用一类变步长Rosenbrock方法求解中立型线性比例延迟微分方程组的渐近稳定性,应用一种证明数值稳定性的新方法,获得了变步长Rosenbrock方法渐近稳定的充分条件.数值实验进一步验证了算法的理论分析的正确性.
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| 关 键 词： | 中立型比例延迟微分方程 Rosenbrock方法 渐近稳定性 |
| 文章编号： | 1003-4978（2007）01-0005-06 |
| 修稿时间： | 2006-06-16 |
Asymptotic Stability of Rosenbrock Methods for the Systems of Pantograph Equations of Neutral Type |
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| LIU Jian-guo,GAN Si-qing.Asymptotic Stability of Rosenbrock Methods for the Systems of Pantograph Equations of Neutral Type[J].Journal of Henan University(Natural Science),2007,37(1):5-10. |
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| Authors: | LIU Jian-guo GAN Si-qing |
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| Institution: | 1 .Department of Mathematics, Huaihua University, Hunan Huaihua 418008,China; 2 .School of Mathematical Science and Computing Technology, Central South University,Changsha 410075, China |
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| Abstract: | This paper is concerned with the asymptotic stability of Rosenbrock methods with variable stepsize for the systems of pantograph equations of neutral type.A new approach for proving numerical stability is applied to obtain the sufficient conditions of asymptotic stability of Rosenbrock methods with variable stepsize.Numerical experiment further confirms the theoretical results of numerical analysis. |
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| Keywords: | pantograph equations of neutral type Rosenbrock methods asymptotic stability |
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