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Full Description
Wavelets are spatially localised 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, image processing, and other fields of computational sciences. This book is a collection of chapters written by the five lecturers of a short course co-sponsored by the Institute of Computer Applications in Science and Engineering (ICASE).
Contents
1. Introduction to Wavelets and their Application to Partial Differential Equations ; 2. Wavelets from Filter Banks ; 3. Wavelets, Functions, and Operators ; 4. Wavelets, Multiresolution Analysis, and Fast Numerical Algorithms ; 5. Some Wavelet Algorithms for Partial Differential Equations ; 6. Wavelet Algorithms for Turbulence Analysis and Modeling ; 7. Wavelet Analysis of Fractals: from the Mathematical Concepts to Experimental Reality