Multiscale methods for Fredholm integral equations

by Chen, Zhongying

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Presents the state of the art in the study of fast multiscale methods for solving these equations based on wavelets.

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Title Statements

Full title :Multiscale methods for Fredholm integral equations / Zhongying Chen, Sun Yat-Sen University, Guangzhou, China, Charles A. Micchelli, State University of New York, Albany, Yuesheng Xu, Sun Yat-Sen University, Guangzhou, China.

Summary

Presents the state of the art in the study of fast multiscale methods for solving these equations based on wavelets.

Edition Statements

Publication Date:©2015

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:©2015

The Physical Object

Description:1 online resource (xiii, 536 pages)

Edition Identifiers

ISBN:9781316216637, 1316216632, 9781316384909, 131638490X, 9781316384305, 1316384306
oclc:ocn913568703
LC Classification:QA431
Dewey Decimal:515/.45

A review of the Fredholm approach -- Fredholm equations and projection theory -- Conventional numerical methods -- Multiscale basis functions -- Multiscale Galerkin methods -- Multiscale Petrov -- Galerkin methods -- Multiscale collocation methods -- Numerical integrations and error control -- Fast solvers for discrete systems -- Multiscale methods for nonlinear integral equations -- Multiscale methods for ill-posed integral equations -- Eigen-problems of weakly singular integral operators.