| 三阶Runge-Kutta最优算法 |
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| 引用本文： | 吴怡,张向辉,熊超西.三阶Runge-Kutta最优算法[J].应用数学,2005(Z1). |
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| 作者姓名： | 吴怡 张向辉 熊超西 |
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| 作者单位： | [1]河北秦皇岛职业技术学院基础部 [2]河北秦皇岛职业技术学院基础部 河北秦皇岛 [3]河北秦皇岛 |
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| 摘 要： | 本文利用最优化思想,根据一阶常微分方程数值解的收敛性和稳定性,引进最优化技术,确定最优系数,得到强稳定的三阶Runge-Kutta最优算法.
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| 关 键 词： | 数值解 强稳定 最优化 三阶Runge-Kutta法 |
Optimal Algorithm of Strongly Stable Runge-Kutta in Three-step Order |
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| WU Yi,ZHANG Xiang-hui,XIONG Chao-xi.Optimal Algorithm of Strongly Stable Runge-Kutta in Three-step Order[J].Mathematica Applicata,2005(Z1). |
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| Authors: | WU Yi ZHANG Xiang-hui XIONG Chao-xi |
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| Abstract: | The numerical methods in first order difference equation and the convergence and stability of numerical solution in first order differential equation are studied in this paper.Accordin to Runge-kutta method,the optimal coefficients are determined by optimal technology,at the same time,the optimal algorithm of strongly stable Runge-kutta in three-step orderare got. |
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| Keywords: | Stability of numerical Strongly stable The optimal coefficients Runge-Kutte in three-step order |
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