Numerical differentiation by integration
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- by Xiaowei Huang, Chuansheng Wu and Jun Zhou PDF
- Math. Comp. 83 (2014), 789-807 Request permission
Abstract:
Based on the Lanczos methods revived by Groetsch, a method of differentiation by integration is presented to approximate derivatives of approximately specified functions. The method is applicable for any point in a finite closed interval. Convergence estimates in $C[a,b]$ and $L^{p}[a,b]$ are given. Numerical examples show that the method is simple and applicable.References
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Additional Information
- Xiaowei Huang
- Affiliation: School of Sciences, Wuhan University of Technology, Wuhan 430070, China
- Email: huangxw@whut.edu.cn
- Chuansheng Wu
- Affiliation: School of Sciences, Wuhan University of Technology, Wuhan 430070, China
- Email: Lzywcs@whut.edu.cn
- Jun Zhou
- Affiliation: School of Sciences, Wuhan University of Technology, Wuhan 430070, China
- Email: whjcc@163.com
- Received by editor(s): February 6, 2010
- Received by editor(s) in revised form: September 25, 2011, and May 24, 2012
- Published electronically: June 4, 2013
- Additional Notes: The first author was supported in part by the Natural Science Foundation of Hubei Province (No. 2011CDB244) and the Fundamental Research Funds for the Central Universities (No. 2011-Ia-006).
The third author was supported in part by the Fundamental Research Funds for the Central Universities (No. 2012-Ia-049). - © Copyright 2013 American Mathematical Society
- Journal: Math. Comp. 83 (2014), 789-807
- MSC (2010): Primary 65J20; Secondary 65D25
- DOI: https://doi.org/10.1090/S0025-5718-2013-02722-6
- MathSciNet review: 3143692