| 多延迟微分方程多步Runge-Kutta法的散逸性 |
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| 引用本文： | 姚金然,刘建国.多延迟微分方程多步Runge-Kutta法的散逸性[J].黄山学院学报,2009,11(3):13-16. |
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| 作者姓名： | 姚金然 刘建国 |
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| 作者单位： | 1. 黄山学院,数学系,安徽,黄山,245041
2. 中南大学,教学科学与计算技术学院,湖南,长沙,410075 |
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| 基金项目： | 黄山学院自然科学基金 |
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| 摘 要： | 将(k,e)代数稳定的多步Runge-Kutta法应用于多延迟微分方程,讨论了该方法的数值散逸性,并获得了(k,e)代数稳定的多步Runge-Kutta法的有限维散选性结论.
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| 关 键 词： | 多延迟微分方程 多步Runge-Kutta法 (k e)代数稳定 散逸性 |
Dissipativity of Multistep Runge-Kutta Method for Multi-delay Differential Equations |
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| Yao Jinran,Liu Jianguo.Dissipativity of Multistep Runge-Kutta Method for Multi-delay Differential Equations[J].Journal of Huangshan University,2009,11(3):13-16. |
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| Authors: | Yao Jinran Liu Jianguo |
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| Institution: | Yao Jinran1,Liu Jianguo2 (1.Department of Mathematics,Huangshan College,Huangshan 245041,China,2.School of Mathematical Sciences and Computing Technology,Central South University,Changsha 410075,China) |
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| Abstract: | Multistep Runge-Kutta method with (k,l)-algebraically stable is applied to multi-delay differential equations. The dissipativity of the method is discussed and the result of finite-dimensional dissipativity of (k,l)-algebraically stable multistep Runge-Kutta method is obtained. |
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| Keywords: | multi-delay differential equation multistep Runge-Kutta method (k l)-algebraically stable dissipativity |
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