Multiscale Methods for Fredholm Integral Equations

✍ Scribed by Zhongying Chen, Charles A. Micchelli, Yuesheng Xu

Publisher: Cambridge University Press
Year: 2015
Tongue: English
Leaves: 551
Edition: 1
Category: Library

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✦ Synopsis

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

Abstract:

The authors present the state of the art in fast multiscale methods, from traditional numerical methods to the recently developed wavelet-based approach. Theorems of functional analysis used Read more...

✦ Table of Contents

Content: 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.

✦ Subjects

Mathematical Analysis;Mathematics;Science & Math;Calculus;Pure Mathematics;Mathematics;Science & Math;Calculus;Mathematics;Science & Mathematics;New, Used & Rental Textbooks;Specialty Boutique

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