Year: 2015
CAM-Net Digest, Vol. 12 (2015), Iss. 16 : p. 6
Abstract
由中山大学陈仲英教授、许跃生教授与美国纽约州立大学Micchelli教授合著的专著
“Multiscale Methods for Fredholm Integral Equations"已于今年七月在剑桥大学出版社出版。
书本信息详见：
http://www.cambridge.org/br/academic/subjects/mathematics/numerical-analysis/
multiscale-methods-fredholm-integral-equations?format=HB
Description:
The recent appearance of wavelets as a new computational tool in applied mathematics has given a new impetus to the field of numerical analysis of
Fredholm integral equations. This book gives an account of the state of the art in the study of fast multiscale methods for solving these equations based on wavelets. The authors begin by introducing essential concepts and describing conventional numerical methods. They then develop fast algorithms and apply these to solving linear, nonlinear Fredholm integral equations of the second kind, ill-posed integral equations of the first kind and eigen-problems of compact integral operators. Theorems of functional analysis used throughout the book are summarised in the appendix. The book is an essential reference for practitioners wishing to use the new techniques. It may also be used as a text, with the first five chapters forming the basis of a one-semester course for advanced undergraduates or beginning graduates.
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Journal Article Details
Publisher Name: Global Science Press
Language: Chinese
DOI: https://doi.org/2015-CAM-15105
CAM-Net Digest, Vol. 12 (2015), Iss. 16 : p. 6
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 1