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The Generalized Tikhonov Regularization Method for High Order Numerical Derivatives
School of Science, Lanzhou University of Technology, Lanzhou, Gansu, China.
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
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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.Keywords
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APA Style
Yang, F., Fu, C., Li, X. (2014). The generalized tikhonov regularization method for high order numerical derivatives. Computer Modeling in Engineering & Sciences, 100(1), 19-29. https://doi.org/10.3970/cmes.2014.100.019
Vancouver Style
Yang F, Fu C, Li X. The generalized tikhonov regularization method for high order numerical derivatives. Comput Model Eng Sci. 2014;100(1):19-29 https://doi.org/10.3970/cmes.2014.100.019
IEEE Style
F. Yang, C. Fu, and X. Li, “The Generalized Tikhonov Regularization Method for High Order Numerical Derivatives,” Comput. Model. Eng. Sci., vol. 100, no. 1, pp. 19-29, 2014. https://doi.org/10.3970/cmes.2014.100.019
Copyright © 2014 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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