| 非线性方程的一类半隐式方法 |
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| 引用本文： | 韩波,曹莉.非线性方程的一类半隐式方法[J].黑龙江大学自然科学学报,2008,25(6). |
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| 作者姓名： | 韩波 曹莉 |
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| 作者单位： | 哈尔滨工业大学数学系,哈尔滨,150001 |
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| 摘 要： | 基于求解常微分方程刚性问题的A-稳定Rosenbrock方法,引入一类求解非线性方程的半隐式迭代法,给出了收敛阶的分析.通过几个困难的方程求解问题,与Newton法、光滑与阻尼方法进行了数值比较.
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| 关 键 词： | 非线性方程 半隐式方法 A-稳定方法 |
A kind of semi-implicit methods for nonlinear equations |
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| Han Bo,Cao Li.A kind of semi-implicit methods for nonlinear equations[J].Journal of Natural Science of Heilongjiang University,2008,25(6). |
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| Authors: | Han Bo Cao Li |
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| Abstract: | Based on the A-stable Rosenbrock methods for solving stiff problem of ordinary differenti-al equation, a class of semi-implicit iterative methods for solving nonlinear equations is presented. The convergence orders of the methods are given. Comparisons of computational results are made with New-ton' s method and smoothing or damping techniques on several difficult problems. |
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| Keywords: | nonlinear equations semi-implicit methods A - stable methods |
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