文献类型：期刊文献

中文题名：Reconstruction of high order derivatives by new mollification methods

英文题名：Reconstruction of high order derivatives by new mollification methods

作者：Zhao Zhen-yu[1,2];He Guo-qiang[1]

机构：[1]Shanghai Univ, Coll Sci, Shanghai 200444, Peoples R China;[2]Guangdong Ocean Univ, Coll Sci, Zhanjiang 524088, Guangdong, Peoples R China

年份：2008

卷号：29

期号：6

起止页码：769

中文期刊名：Applied Mathematics and Mechanics(English Edition)

外文期刊名：APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

收录：SCI-EXPANDED(收录号：WOS:000257020700008)、CSTPCD、、EI(收录号：20082911377265)、北大核心2004、Scopus(收录号：2-s2.0-46749116096)、CSCD2011_2012、WOS、北大核心、CSCD

语种：英文

中文关键词：数值分化;数值分析;软化作用;求解方法

外文关键词：ill-posed problem; numerical differentiation; mollification method; L generalized solution; cTSVD method

中文摘要：In this paper,the problem of reconstructing numerical derivatives from noisy data is considered.A new framework of mollification methods based on the L general- ized solution regularization methods is proposed.A specific algorithm for the first three derivatives is presented in the paper,in which a modification of TSVD,termed cTSVD is chosen as the regularization technique.Numerical examples given in the paper verify the theoretical results and show efficiency of the new method.

外文摘要：In this paper, the problem of reconstructing numerical derivatives from noisy data is considered. A new framework of mollification methods based on the L generalized solution regularization methods is proposed. A specific algorithm for the first three derivatives is presented in the paper, in which a modification of TSVD, termed cTSVD is chosen as the regularization technique. Numerical examples given in the paper verify the theoretical results and show efficiency of the new method.