Title
A New Mollification Method for Numerical Differentiation of 2D Periodic Functions
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.
Year
DOI
Venue
2009
10.1109/CSO.2009.174
CSO (1)
Keywords
Field
DocType
mollification method,needed regularization technique,fourier series,new mollification method,2d periodic function,ill-posed problem,truncated fourier series approach,regularization technique,tsvd method,differentiation,numerical differentiation,bivariate periodic function,numerical example,noisy data,new method,periodic functions,statistics,finance,mathematics,knowledge engineering,noise measurement,inverse problems,business,probability density function,data mining,convergence
Convergence (routing),Numerical differentiation,Periodic function,Mathematical optimization,Mathematical analysis,Fourier series,Regularization (mathematics),Inverse problem,Bivariate analysis,Probability density function,Mathematics
Conference
Volume
ISBN
Citations 
1
978-0-7695-3605-7
0
PageRank 
References 
Authors
0.34
1
4
Name
Order
Citations
PageRank
Zhenyu Zhao1127.86
Ze-hong Meng2192.07
Li Xu300.34
Junfeng Liu41710.40