Wavelets: Theory and Applications / Edition 1

by Gordon Erlebacher, M. Yousuff Hussaini, Leland M. Jameson

Overview

Wavelets are spatially localized functions whose amplitude drops off exponentially outside a small "window". They are used to magnify experimental or numerical data and have become powerful tools in signal processing and other computational sciences. This book gives scientists and engineers a practical understanding of wavelets—their origins, their purpose, their use, and their prospects. It covers the applications of wavelets as a diagnostic tool and the use of wavelet basis functions to solve differential equations. Each chapter was written by one of five lecturers of a course sponsored by the Institute of Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center. Not only does this book treat the latest advances on the subject, but it also attempts to impart practical knowledge to allow scientists and engineers to evaluate objectively where these tools stand in relation to their needs.

Product Details

ISBN-13:	9780195094237
Publisher:	Oxford University Press
Publication date:	01/04/1996
Series:	ICASE/LaRC Series in Computational Science and Engineering
Pages:	528
Product dimensions:	6.44(w) x 9.56(h) x 1.23(d)

About the Author

all at the Institute for Computer Applications to Science and Engineering (ICASE), NASA/Langley Research Center, Hampton, VA

Table of Contents

1. Introduction to Wavelets and their Applications to Partial Differential Equations, L.M. Jameson2. Wavelets from Filter Banks, G. Strang3. Wavelets, Functions, and Operators, Ph. Tchamitchian4. Wavelets, Multiresolution Analysis, and Fast Numerical Algorithms, G. Beylkin5. Some Wavelet Algorithms for Partial Differential Equations, J. Liandrat6. Some Wavelet Algorithms for Turbulence Analysis and Modelling, J. Liandrat7. Wavelet Analysis of Fractals: from the Mathematical Concepts to Experimental Reality, A. Arneodo