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Wavelets As Galerkin Basis

Contents. IntroductionGalerkin MethodMultiresolution analysisMultiresolution analysis and Galerkin MethodSolution for an example equations 5.1 Finite differences method 5.2 Wavelet Galerkin solution 5.3 Incorporation of boundary conditions

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Wavelets As Galerkin Basis

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    1. Wavelets As Galerkin Basis Aleksandr Yakovlev Department of Computational Physics St Petersburg State University

    2. Contents Introduction Galerkin Method Multiresolution analysis Multiresolution analysis and Galerkin Method Solution for an example equations 5.1 Finite differences method 5.2 Wavelet Galerkin solution 5.3 Incorporation of boundary conditions 5.4 Offsetting boundary conditions to control error 5.5 Comparison of results

    3. Introduction Differential equations ODE PDE constant coefficients variable coefficients Domain and boundary conditions Dirichlet Neuman Cyclic Method Galerkin method Improvements Use Wavelet basis Increase resolution Increase order

    4. The Galerkin Method

    25. Acknowlegements Prof. S.Yu. Slavyanov, St Petersburg State Univercity Prof. A.V. Tsiganov, St Petersburg State Univercity Prof. S.L. Yakovlev, St Petersburg State Univercity And other colleagues of mine from the Department of Computational Physics

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