| 用Tikhonov正则化方法求一阶和两阶的数值微分 |
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| 引用本文： | 陆帅,王彦博.用Tikhonov正则化方法求一阶和两阶的数值微分[J].高等学校计算数学学报,2004,26(1):62-74. |
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| 作者姓名： | 陆帅 王彦博 |
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| 作者单位： | 复旦大学数学研究所,上海,200433;复旦大学数学系,上海,200433 |
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| 摘 要： | Numerical differentiation is an ill-posed problem, which is important in scientific research and practical applications.In this paper, we use the Tikhonov regularization method to discuss the first and secord order derivatives of a smooth function. The error estimate is also given. And the numerical results prove that our method is applicable.
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| 关 键 词： | Tikhonov正则化 数值微分 范数 样条函数 存在性 |
THE NUMERICAL DIFFERENTIATION OF FIRST AND SECOND ORDER WITH TIKHONOV REGULARIZATION |
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| Lu Shuai.THE NUMERICAL DIFFERENTIATION OF FIRST AND SECOND ORDER WITH TIKHONOV REGULARIZATION[J].Numerical Mathematics A Journal of Chinese Universities,2004,26(1):62-74. |
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| Authors: | Lu Shuai |
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| Abstract: | Numerical differentiation is an ill-posed problem, which is important in scientific research and practical applications.In this paper, we use the Tikhonov regularization method to discuss the first and secord order derivatives of a smooth function. The error estimate is also given. And the numerical results prove that our method is applicable. |
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| Keywords: | ill-posed problem numerical differentiation Tikhonov regulariza-tion error estimate |
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