Open Access

ARTICLE

The Generalized Tikhonov Regularization Method for High Order Numerical Derivatives

F. Yang¹, C.L. Fu², X.X. Li¹

1 School of Science, Lanzhou University of Technology, Lanzhou, Gansu, China.
2 School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, China

Computer Modeling in Engineering & Sciences 2014, 100(1), 19-29. https://doi.org/10.3970/cmes.2014.100.019

Abstract

Numerical differentiation is a classical ill-posed problem. The generalized Tikhonov regularization method is proposed to solve this problem. The error estimates are obtained for a priori and a posteriori parameter choice rules, respectively. Numerical examples are presented to illustrate the validity and effectiveness of this method.

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Keywords

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