| 一种磨光微分方法 |
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| 引用本文： | 尹秀玲,贺国强,闫立梅.一种磨光微分方法[J].应用数学与计算数学学报,2008,22(2). |
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| 作者姓名： | 尹秀玲 贺国强 闫立梅 |
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| 作者单位： | 1. 德州学院数学系,山东德州,253023
2. 上海大学理学院,上海,200444 |
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| 摘 要： | 本文讨论一种利用磨光思想求解微分的正则化方法，并讨论了它在某种条件下的收敛性．这种磨光微分方法结合正则化参数的选取得到了最优的收敛阶，最后给出了一个数值例子，证明该方法是可行的．
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| 关 键 词： | 数值微分 磨光方法 不适定问题 正则化方法 收敛阶 |
One Kind of Mollification Diffefential Method |
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| Yin Xiuling,He Guoqiang,Yan Limei.One Kind of Mollification Diffefential Method[J].Communication on Applied Mathematics and Computation,2008,22(2). |
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| Authors: | Yin Xiuling He Guoqiang Yan Limei |
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| Institution: | Yin Xiuling~1 He Guoqiang~2 Yan Limei~2 Department of Mathematics,Dezhou University,Sh,ong 253023,China Dept.of Mathematics,Shanghai University,Shanghai 200444,China |
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| Abstract: | We discuss one kind of regularised method to calculate numerical differentiation .Convergence result under certain condition is also obtained.The method gets optimal convergent order connecting some regularised parameter.Finally we give one numerical example which proves that this method is applicable. |
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| Keywords: | numerical differentiation mollification method ill-posed equation regularization method convergence rates |
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