Fourier truncation method for high order numerical derivatives

被引：43

作者：

Qian, Zhi ^{[1
]}

Fu, Chu-Li ^{[1
]}

Xiong, Xiang-Tuan ^{[1
]}

Wei, Ting ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 02期

基金：

中国国家自然科学基金;

关键词：

numerical derivatives; ill-posed problem; Fourier truncation;

D O I：

10.1016/j.amc.2006.01.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：940 / 948

页数：9

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