| 多步隐式Runge—Kutta方法的稳定性分析 |
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| 引用本文： | 匡蛟勋 鲁莲华. 多步隐式Runge—Kutta方法的稳定性分析[J]. 系统仿真学报, 1993, 5(2): 42-50 |
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| 作者姓名： | 匡蛟勋 鲁莲华 |
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| 作者单位： | 上海师范大学(匡蛟勋)，上海师范大学(鲁莲华) |
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| 摘 要： | 本文对多步隐式Runge—Kutta方法进行数值稳定性分析。给出了广义压缩性及弱广义压缩性的概念,并导出了多步隐式Runge—Kutta方法为广义压缩的代数条件,最后还给出了数值例子。
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| 关 键 词： | Runge－Kutta法 稳定性分析 非线性方程组 |
Stability Analysis of Multistep Runge-Kutta Methods |
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| Kuang Jiaoxun Lu LianhuaShanghai Normal University. Stability Analysis of Multistep Runge-Kutta Methods[J]. Journal of System Simulation, 1993, 5(2): 42-50 |
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| Authors: | Kuang Jiaoxun Lu LianhuaShanghai Normal University |
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| Affiliation: | Kuang Jiaoxun Lu LianhuaShanghai Normal University |
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| Abstract: | In this paper, the numerical stability of multistep Runge-Kutta methods is studied by introducing the concepts of generalized contractivity and weak generalized contractivity. The algebraic conditions of multistep Runge-Kutta methods for generalized contractivity are presented. Several numerical examples are also given to illustrate the results. |
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| Keywords: | Multistep Runge-Kutta methods Generalized contractivity Weak generalized contractivity. |
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