1996Unpublished venueRequires access

Wavelets: theory and applications

Gordon Erlebacher, M. Yousuff Hussaini, Leland Jameson

Open publisher page 185 citations

Abstract

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

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What this paper is about

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

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OpenAlex reports 185 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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

Key concepts: Wavelet, Legendre wavelet, Multiresolution analysis, Fast wavelet transform, Cascade algorithm, Partial differential equation, Lifting scheme, Algorithm

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