期刊文献+

数值微分的小波对偶最小二乘方法

The Dual Least Square Galerkin Methods Based on Wavelets for Numerical Differentiation
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摘要 本文给出了利用小波求解数值微分的方法.将微分问题转化为等价的第一类Fredholm积分方程,使用对偶最小二乘方法求解该积分.方程数值计算实例表明,方法稳定,计算精度高且运算速度快. In this paper,algorithm for numerical differentiation based on wavelets is proposed.We transform the differential problems into the Fredholm integral equations of first kind.The experimental results show that our methods not only stabilizt,but also fast and the results are accurate.
出处 《长春理工大学学报(自然科学版)》 2012年第4期150-153,共4页 Journal of Changchun University of Science and Technology(Natural Science Edition)
基金 吉林省自然科学基金(201115161)
关键词 数值微分 第一类FREDHOLM积分方程 对偶最小二乘方法 GALERKIN方法 numerical differentiation the Fredholm integral equations of the first kind dual least square method Galerkin method
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参考文献8

  • 1M Hank,O Scherzer.Inverse problems light:numeri- cal differentiation [J].Amer.Math.Monthly, 2001, 108 (6) : 512-521.
  • 2G Nakamura,S Z Wang,Y B Wang.Numerical Dif- ferentiation for the Second order derivative of func- tions with several variables[M].Sapporo,2005.
  • 3A N Tikhonov, V Y Arsenin.Solutions of Ⅲ-posed Problems[M].Winston and Sons,Washington,1997.
  • 4王彦博.数值微分及应用[D].上海:复旦大学博士论文,2000.
  • 5W Hardle,G Kerkyacharian,D Picard,et al.Approxi- marion and Statistical Application. [M] .Springer,1998.
  • 6A krish.An introduction to the mathematical theory of inverse problem.Applied mathematical sciences [ M ] .Springer, 2011.
  • 7Daubechies.Ten Lectures on Wavelets[M].Philadel- phia, 1992.
  • 8R Kress.Linear Integral Equation. Spriger-Verlag, Berlin, 1989.

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