DocumentCode
3593127
Title
A New Mollification Method for Numerical Differentiation of 2D Periodic Functions
Author
Zhao, Zhenyu ; Meng, Zehong ; Xu, Li ; Liu, Junfeng
Author_Institution
Coll. of Sci., Guangdong Ocean Univ., Zhanjiang, China
Volume
1
fYear
2009
Firstpage
205
Lastpage
207
Abstract
In this paper, we present a new method for numerical differentiation of bivariate periodic functions when a set of noisy data is given. TSVD is chosen as the needed regularization technique. It turns out the new method coincides with some type of truncated Fourier series approach. A numerical example is also given to show the efficiency of the method.
Keywords
Fourier series; differentiation; 2D periodic function; bivariate periodic function; mollification method; noisy data; numerical differentiation; regularization technique; truncated Fourier series approach; Business; Convergence; Educational institutions; Finance; Fourier series; Knowledge engineering; Mathematics; Oceans; Optimization methods; Statistics; TSVD method; ill-posed problem; mollification method; numerical differentiation;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Print_ISBN
978-0-7695-3605-7
Type
conf
DOI
10.1109/CSO.2009.174
Filename
5193675
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