Wavelets: theory and applications

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