| 隐式Runge-Kutta方法求解多延迟微分方程的GPLm-稳定性 |
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| 引用本文： | 项家祥,崔义娟,丛玉豪. 隐式Runge-Kutta方法求解多延迟微分方程的GPLm-稳定性[J]. 上海师范大学学报(自然科学版), 2008, 37(2): 111-116 |
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| 作者姓名： | 项家祥 崔义娟 丛玉豪 |
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| 作者单位： | 上海师范大学数理信息学院,上海,200234;上海师范大学数理信息学院,上海,200234;上海师范大学数理信息学院,上海,200234 |
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| 基金项目： | 国家自然科学基金 , 上海市教委资助项目 |
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| 摘 要： | 研究了用IRK方法求解多延时微分方程数值解的稳定性，对于线性模型方程，分析并证明了IRK方法是GPLm-稳定的当且仅当它是L稳定的．
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| 关 键 词： | 延时微分方程 GPLm-稳定性 隐式Runge-Kutta方法 |
| 文章编号： | 1000-5137(2008)02-0111-06 |
| 修稿时间： | 2008-01-08 |
GPLm-stability of the implicit Runge-Kutta method for delay differential equations with many delays |
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| XIANG Jia-xiang,CUI Yi-juan,CONG Yu-hao. GPLm-stability of the implicit Runge-Kutta method for delay differential equations with many delays[J]. Journal of Shanghai Normal University(Natural Sciences), 2008, 37(2): 111-116 |
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| Authors: | XIANG Jia-xiang CUI Yi-juan CONG Yu-hao |
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| Affiliation: | (College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China) |
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| Abstract: | This paper deals with the stability of the IRK method for the numerical solution of a delay differential e-quation with many delays. The GPLm-stability of the IRK method is analyzed for the solutions of linear test equations.It is shown that the IRK method is GPLm-stable ff and only ff it is L-stable. |
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| Keywords: | delay differential equation GPLm-stability implicit Runge-Kutta method |
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