Multiscale Wavelet Methods for Partial Differential Equations

Multiscale Wavelet Methods for Partial Differential Equations
Author: Wolfgang Dahmen
Publisher: Elsevier
Total Pages: 587
Release: 1997-08-13
Genre: Mathematics
ISBN: 0080537146

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 wavelet constructions in connection with partial differential equations. Specialists in numerical applications and engineers in a variety of fields will find Multiscale Wavelet for Partial Differential Equations to be a valuable resource. - Covers important areas of computational mechanics such as elasticity and computational fluid dynamics - Includes a clear study of turbulence modeling - Contains recent research on multiresolution analyses with operator-adapted wavelet discretizations - Presents well-documented numerical experiments connected with the development of algorithms, useful in specific applications

Adapted Wavelet Analysis

Adapted Wavelet Analysis
Author: Mladen Victor Wickerhauser
Publisher: CRC Press
Total Pages: 499
Release: 1996-04-17
Genre: Mathematics
ISBN: 143986361X

This detail-oriented text is intended for engineers and applied mathematicians who must write computer programs to perform wavelet and related analysis on real data. It contains an overview of mathematical prerequisites and proceeds to describe hands-on programming techniques to implement special programs for signal analysis and other applications.

A Primer on Wavelets and Their Scientific Applications

A Primer on Wavelets and Their Scientific Applications
Author: James S. Walker
Publisher: CRC Press
Total Pages: 172
Release: 2019-07-17
Genre: Mathematics
ISBN: 9781420050011

The rapid growth of wavelet applications-speech compression and analysis, image compression and enhancement, and removing noise from audio and images-has created an explosion of activity in creating a theory of wavelet analysis and applying it to a wide variety of scientific and engineering problems. It becomes important, then, that engineers and scientists have a working understanding of wavelets. Until now, however, the study of wavelets has been beyond the mathematical grasp of many who need this understanding. Most treatments of the subject involve ideas from functional analysis, harmonic analysis, and other difficult mathematical techniques. Wavelets and their Scientific Applications offers an introduction to wavelet analysis without mathematical rigor, requiring only algebra and some very basic calculus. The author stresses applications, and explains, using elementary algebra, how wavelet methods are typically applied in analyzing digital data. Software is available for download through CRC's Website that will enable recording, playing, and modifying sound files, and includes a facility for displaying, printing and modifying IEEE gray field images. Unlike other software packages for wavelet analysis, the author developed this attractive, easy-to-use software without the need for a C++ compiler or MATLABä. Throughout the book the author provides numerous suggestions for computer experiments designed to challenge and enhance the reader's comprehension and provide practice in applying the concepts learned. Wavelets and their Scientific Applications thus provides the perfect vehicle for understanding wavelets and their uses. It provides a fast-track learning opportunity for scientists and mathematicians unfamiliar with wavelet concepts and applications, and it is ideal for anyone without an extensive mathematical background.

Wavelets

Wavelets
Author: Charles K. Chui
Publisher: SIAM
Total Pages: 223
Release: 1997-01-01
Genre: Mathematics
ISBN: 0898713846

Mathematically rigorous monograph on wavelets, written specifically for nonspecialists. Places the reader at the forefront of current research.

Wavelet Analysis

Wavelet Analysis
Author: Ding-Xuan Zhou
Publisher: World Scientific
Total Pages: 324
Release: 2002
Genre: Computers
ISBN: 9789812776679

The International Conference of Computational Harmonic Analysis, held in Hong Kong during the period of June 4 OCo 8, 2001, brought together mathematicians and engineers interested in the computational aspects of harmonic analysis. Plenary speakers include W Dahmen, R Q Jia, P W Jones, K S Lau, S L Lee, S Smale, J Smoller, G Strang, M Vetterlli, and M V Wickerhauser. The central theme was wavelet analysis in the broadest sense, covering time-frequency and time-scale analysis, filter banks, fast numerical computations, spline methods, multiscale algorithms, approximation theory, signal processing, and a great variety of applications.This proceedings volume contains sixteen papers from the lectures given by plenary and invited speakers. These include expository articles surveying various aspects of the twenty-year development of wavelet analysis, and original research papers reflecting the wide range of research topics of current interest."

ICIAM 91

ICIAM 91
Author: Robert E. O'Malley
Publisher: SIAM
Total Pages: 424
Release: 1992-01-01
Genre: Mathematics
ISBN: 9780898713022

Proceedings -- Computer Arithmetic, Algebra, OOP.

Wavelet Analysis

Wavelet Analysis
Author: Howard L. Resnikoff
Publisher: Springer Science & Business Media
Total Pages: 446
Release: 2012-12-06
Genre: Mathematics
ISBN: 146120593X

This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.

Wavelets

Wavelets
Author: Charles K. Chui
Publisher: SIAM
Total Pages: 228
Release: 1997-01-01
Genre: Mathematics
ISBN: 9780898719727

Wavelets continue to be powerful mathematical tools that can be used to solve problems for which the Fourier (spectral) method does not perform well or cannot handle. This book is for engineers, applied mathematicians, and other scientists who want to learn about using wavelets to analyze, process, and synthesize images and signals. Applications are described in detail and there are step-by-step instructions about how to construct and apply wavelets. The only mathematically rigorous monograph written by a mathematician specifically for nonspecialists, it describes the basic concepts of these mathematical techniques, outlines the procedures for using them, compares the performance of various approaches, and provides information for problem solving, putting the reader at the forefront of current research.

Adaptive Atmospheric Modeling

Adaptive Atmospheric Modeling
Author: Jörn Behrens
Publisher: Springer Science & Business Media
Total Pages: 221
Release: 2007-06-25
Genre: Computers
ISBN: 3540333835

This is an overview of the development of adaptive techniques for atmospheric modeling. Written in an educational style, it functions as a starting point for readers interested in adaptive modeling, in atmospheric sciences and beyond. Coverage includes paradigms of adaptive techniques, such as error estimation and adaptation criteria. Mesh generation methods are presented for triangular/tetrahedral and quadrilateral/hexahedral meshes, with a special section on initial meshes for the sphere.