Wavelets: theory and applications
Gordon Erlebacher, M. Yousuff Hussaini, Leland Jameson
Abstract
Gordon Erlebacher, M. Yousuff Hussaini, Leland Jameson
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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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