Title
Fourier truncation method for high order numerical derivatives
Abstract
We consider a classical ill-posed problem-numerical differentiation with a new method. We propose Fourier truncation method to compute high order numerical derivatives. A Holder-type stability estimate is obtained. A numerical implementation is described. Numerical examples show that the proposed method is effective and stable.
Year
DOI
Venue
2006
10.1016/j.amc.2006.01.057
Applied Mathematics and Computation
Keywords
Field
DocType
ill-posed problem,classical ill-posed problem-numerical differentiation,numerical implementation,numerical derivative,fourier truncation,numerical derivatives,new method,fourier truncation method,numerical example,high order,holder-type stability estimate,numerical differentiation
Truncation,Truncation error,Fourier analysis,Mathematical analysis,Fourier transform,Truncation error (numerical integration),Numerical analysis,Truncation method,Numerical stability,Mathematics
Journal
Volume
Issue
ISSN
181
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
8
1.16
3
Authors
4
Name
Order
Citations
PageRank
Zhi Qian1417.81
Chu-Li Fu214228.78
Xiang-Tuan Xiong37720.18
T. Wei48718.96