Numerical Analysis of Wavelet Methods

Numerical Analysis of Wavelet Methods
Author :
Publisher : Elsevier
Total Pages : 357
Release :
ISBN-10 : 9780080537856
ISBN-13 : 0080537855
Rating : 4/5 (855 Downloads)

Book Synopsis Numerical Analysis of Wavelet Methods by : A. Cohen

Download or read book Numerical Analysis of Wavelet Methods written by A. Cohen and published by Elsevier. This book was released on 2003-04-29 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are:1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions.2. Full treatment of the theoretical foundations that are crucial for the analysisof wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory.3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies.

Numerical Analysis of Wavelet Methods Related Books

Numerical Analysis of Wavelet Methods
Language: en
Pages: 357
Authors: A. Cohen
Categories: Mathematics
Type: BOOK - Published: 2003-04-29 - Publisher: Elsevier

GET EBOOK

Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical
Wavelet Numerical Method and Its Applications in Nonlinear Problems
Language: en
Pages: 478
Authors: You-He Zhou
Categories: Technology & Engineering
Type: BOOK - Published: 2021-03-09 - Publisher: Springer Nature

GET EBOOK

This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than
Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations
Language: en
Pages: 251
Authors: Santanu Saha Ray
Categories: Mathematics
Type: BOOK - Published: 2018-01-12 - Publisher: CRC Press

GET EBOOK

The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in mo
Multiscale Wavelet Methods for Partial Differential Equations
Language: en
Pages: 587
Authors: Wolfgang Dahmen
Categories: Mathematics
Type: BOOK - Published: 1997-08-13 - Publisher: Elsevier

GET EBOOK

This latest volume in the Wavelets Analysis and Its Applications Series provides significant and up-to-date insights into recent developments in the field of wa
Wavelet Methods In Mathematical Analysis And Engineering
Language: en
Pages: 190
Authors: Alain Damlamian
Categories: Mathematics
Type: BOOK - Published: 2010-09-21 - Publisher: World Scientific

GET EBOOK

This book gives a comprehensive overview of both the fundamentals of wavelet analysis and related tools, and of the most active recent developments towards appl