| 非线性Volterra延迟积分微分方程多步Runge-Kutta方法的散逸性 |
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| 引用本文： | 姚金然,甘四清,殷乃芳,史可.非线性Volterra延迟积分微分方程多步Runge-Kutta方法的散逸性[J].湖南文理学院学报(自然科学版),2007,19(4):1-4. |
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| 作者姓名： | 姚金然 甘四清 殷乃芳 史可 |
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| 作者单位： | [1]中南大学数学科学与计算技术学院 [2]湖南长沙 |
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| 摘 要： | 将(k,l)-代数稳定的多步Runge-Kutta方法应用于非线性沃尔泰拉延迟积分微分方程,讨论了该方法的数值散逸性,并获得了(k,l)-代数稳定的多步Runge-Kutta方法的有限维和无限维散逸性结论.
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| 关 键 词： | 散逸性 沃尔泰拉延迟积分微分方程 多步Runge-Kutta方法 （k l）-代数稳定 |
| 文章编号： | 1672-6146(2007)04-0001-04 |
Dissipativity of Multistep Runge-Kutta Methods for Nonlinear Volterra Delay-integro-differential Equations |
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| YAO Jin-ran,GAN Si-qing,YIN Nai-fang,SHI Ke.Dissipativity of Multistep Runge-Kutta Methods for Nonlinear Volterra Delay-integro-differential Equations[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2007,19(4):1-4. |
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| Authors: | YAO Jin-ran GAN Si-qing YIN Nai-fang SHI Ke |
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| Abstract: | By ( k , l )- algebraically stable multistep Runge- Kutta methods to nonlinear Volterra delay- integro-differential equations, the numerical dissipativity of the methods was discussed and the finite-dimensional and infinite- dimensional dissipativity results of ( k , l )-algebraically stable multistep Runge-Kutta methods were obtained. |
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| Keywords: | dissipativity Volterra delay-integro-differential equations multistep Runge-Kutta methods ( k l )-algebrai-cally stable |
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