| 一类非线性微分方程单支θ-方法的稳定性 |
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| 引用本文： | 邓义华.一类非线性微分方程单支θ-方法的稳定性[J].安徽大学学报(自然科学版),2006,30(4):15-17. |
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| 作者姓名： | 邓义华 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008 |
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| 摘 要： | 首先在一般的H ilbert空间中研究了非线性微分方程单支θ-方法的数值稳定性,得到了该问题数值稳定性的一个充分条件.然后研究了单支θ-方法的代数稳定性,针对各种不同的情形,得到了该问题代数稳定性的一些结论,这些结论是文献5]中相应结论的本质改进.
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| 关 键 词： | 微分方程 单支θ-方法 数值稳定性 代数稳定性 |
| 文章编号： | 1000-2162（2006）04-0015-03 |
| 收稿时间： | 2005-11-06 |
| 修稿时间： | 2005-11-06 |
Stability of One-Leg-Methods for a class of nonlinear differential equations |
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| DENG Yi-hua.Stability of One-Leg-Methods for a class of nonlinear differential equations[J].Journal of Anhui University(Natural Sciences),2006,30(4):15-17. |
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| Authors: | DENG Yi-hua |
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| Institution: | Department of Mathematics, Hengyang Normal University, Hengyang 421008,China |
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| Abstract: | The numerical stability of One-Leg-Methods for nonlinear differential equations in Hilbert space are studied in this paper firstly,we gained a sufficient condition for the numerical stability of these problems.And then the algebraic stability of One-Leg-Methods is studied,according to various conditions,we gained some conclusions for the algebraic stability of these problems,these conclusions are the essential improvement of those in document\. |
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| Keywords: | differential equations One-Leg-Methods numerical stability algebraic stability |
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