| 一种带噪声的周期函数数值微分方法 |
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| 引用本文： | 郜均均,贺国强.一种带噪声的周期函数数值微分方法[J].应用数学与计算数学学报,2009,23(2):61-71. |
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| 作者姓名： | 郜均均 贺国强 |
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| 作者单位： | 上海大学理学院,上海,200444 |
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| 摘 要： | 本文利用Thkhonov正则化方法讨论了带有噪声离散数据的周期函数的数值微分问题，证明了该方法存在唯一的三次周期样条函数解，并给出了其误差估计，而且从理论和数值例子说明了此方法的有效性．
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| 关 键 词： | 不适定问题 离散数据 Tikhonov正则化方法 数值微分 周期样条 |
A Numerical Differentiation Method for Period Function with Noisy Data |
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| Gao Junjun,He Guoqiang.A Numerical Differentiation Method for Period Function with Noisy Data[J].Communication on Applied Mathematics and Computation,2009,23(2):61-71. |
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| Authors: | Gao Junjun He Guoqiang |
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| Institution: | Gao Junjun He Guoqiang( Sciences College, Shanghai University, Shanghai 200444, China) |
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| Abstract: | In this paper,we use the Tikhonov regularization method to discuss the numerical differentiation problem of a period function with noisy data.The unique solution is provided existence,and is a period spline function.The error estimate is also given.The theoretical result and numerical examples prove that our method is applicable. |
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| Keywords: | ill-posed problem discrete data Tikhonov regularization method nu-merical differentiation period spline |
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