| Rosenbrock方法求解广义延时微分方程的GP-稳定性 |
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| 引用本文： | 项家祥,丛玉豪. Rosenbrock方法求解广义延时微分方程的GP-稳定性[J]. 上海师范大学学报(自然科学版), 2005, 34(1): 1-5 |
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| 作者姓名： | 项家祥 丛玉豪 |
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| 作者单位： | 上海师范大学数学系,上海,200234;上海师范大学数学系,上海,200234 |
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| 基金项目： | Foundation item: the National Nature Science Foundation (10171067) Shanghai Municipal Education Commission (04DB07)The Special Funds for Major Specialties of Shanghai Education Committee. |
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| 摘 要： | 研究了用Rosenbrock方法求解广义延时微分方程数值解的稳定性．证明了Rosenbrock方法是GP-稳定的当且仅当它对常微分方程是A-稳定的．
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| 关 键 词： | 广义延时微分方程 GP-稳定性 Rosenbrock方法 |
The GP-stability of the Rosenbrock method for generalized delay differential equations |
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| XIANG Jia-xiang,CONG Yu-hao. The GP-stability of the Rosenbrock method for generalized delay differential equations[J]. Journal of Shanghai Normal University(Natural Sciences), 2005, 34(1): 1-5 |
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| Authors: | XIANG Jia-xiang CONG Yu-hao |
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| Abstract: | Focuses on the stability behavior of the Rosenbrock method for generalized delay differential equations. Proves that the Rosenbrock method is GP-stable if and only if it is A-stable for ODEs. |
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| Keywords: | generalized delay differential equation GP-stability Rosenbrock method |
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