wavelet resources.htm

现代信号处理讲义,包含许多的例题,解答等Qinghua University publishing house modern signal processing course

        Wavelet-Galerkin Method for the Stokes-Equations,"</A> also <A 
        href="ftp://ftp.igpm.rwth-aachen.de/pub/dahmen/igpm_111r_f.ps.Z">full 
        version</A> with pictures. 
        <LI>R. Glowinski, T. Pan , R. O. Wells, Jr. and X. Zhou, <A 
        href="ftp://cml.rice.edu/pub/reports/9201.ps.Z">"Wavelet and Finite 
        Element Solutions for the Neumann Problem Using Fictitious Domains" </A>
        <LI>R. Glowinski, A. Rieder, R. O. Wells, Jr. and X. Zhou, <A 
        href="ftp://cml.rice.edu/pub/reports/9306.ps.Z">"A Wavelet Multigrid 
        Preconditioner for Dirichlet Boundary Value Problems in General 
        Domains." </A>
        <LI>R. Glowinski, A. Rieder, R. O. Wells, Jr. and X. Zhou, <A 
        href="ftp://cml.rice.edu/pub/reports/9414.ps.Z">"A Preconditioned 
        CG-Method for Wavelet-Galerkin Discretizations of Elliptic Problems" 
</A>
        <LI>F. Heurtaux, F. Planchon and M. V. Wickerhauser, <A 
        href="http://wuarchive.wustl.edu/doc/techreports/wustl.edu/math/papers/burgers.ps.Z">"Scale 
        Decomposition in Burgers' Equation"</A> 
        <LI>A. Jiang, <A 
        href="ftp://ftp.math.ucla.edu/pub/camreport/cam96-20.ps.gz>" methods="" 
        a wavelet problems?< dependent time certain for based fast>. </A>
        <LI><A href="ftp://ftp.math.ucla.edu/pub/camreport/cam96-20.ps.gz>" 
        methods="" a wavelet problems?< dependent time certain for based fast>J. 
        H. Keiser, </A><A 
        href="ftp://amath-ftp.colorado.edu/pub/wavelets/papers/keiser_thesis.ps.Z">"On 
        I. Wavelet Based Approach to Numerical Solution on Nonlinear Partial 
        Differential Equations and II. Nonlinear Waves in Fully Discrete 
        Dynamical Systems."</A> 
        <LI>A. Kunoth, <A 
        href="ftp://ftp.igpm.rwth-aachen.de/pub/kunoth/cosh.ps.Z">"Multilevel 
        Preconditioning -- Appending Boundary Conditions by Lagrange 
        Multipliers."</A> 
        <LI>G. Leaf and J. M. Restrepo, <A 
        href="ftp://info.mcs.anl.gov/pub/tech_reports/reports/P448.ps.Z">"Wavelet-Galerkin 
        Discretization of Hyperbolic Equations."</A> 
        <LI>J. Lewalle, <A 
        href="http://www.mame.syr.edu/faculty/lewalle/acta-94.html">"Wavelet 
        Transforms of some Equations of Fluid Mechanics"</A> 
        <LI>J. Lewalle, <A 
        href="http://www.mame.syr.edu/faculty/lewalle/dissip-93.html">"Energy 
        Dissipation in the Wavelet-Transformed Navier-Stokes Equations" </A>
        <LI>J. Lewalle, <A 
        href="http://www.mame.syr.edu/faculty/lewalle/camb-93.html">"On the 
        effect of boundary conditions on the multifractal statistics of 
        incompressible turbulence"</A> 
        <LI>J. Lewalle, <A 
        href="http://www.mame.syr.edu/faculty/lewalle/hamdiff.html">"Diffusion 
        is Hamiltonian".</A> <!--<li>J. Lewalle, <a
        href="http://www.mame.syr.edu/faculty/lewalle/green.html">&quot;Gaussian
        Wavelets as Green's functions&quot;.</a> </li>-->
        <LI>D. Lu, T. Ohyoshi and L. Zhu, <A 
        href="ftp://ftp.mathsoft.com/pub/wavelets/bc.ps.gz">"Treatment of 
        Boundary Conditions in the Application of Wavelet-Galerkin Method to a 
        SH Wave Problem"</A> 
        <LI>P. Monasse and V. Perrier, <A 
        href="ftp://ftp.lmd.ens.fr/MFGA/pub/wavelets/wav_interval.ps.Z">"Orthonormal 
        Wavelet Bases Adapted for Partial Differential Equations with Boundary 
        Conditions." </A>
        <LI>A. Rieder and X. Zhou, <A 
        href="ftp://cml.rice.edu/pub/reports/9310.ps.Z">"On the Robustness of 
        the Damped V-Cycle of the Wavelet Frequency Decompositions Multigrid 
        Method" </A>
        <LI>A. Rieder, R. O. Wells, Jr. and X. Zhou, <A 
        href="ftp://cml.rice.edu/pub/reports/9307.ps.Z">"A Wavelet Approach to 
        Robust Multilevel Solvers for Anisotropic Elliptic Problems." </A>
        <LI>A. Rieder, R. O. Wells, Jr. and X. Zhou, <A 
        href="ftp://cml.rice.edu/pub/reports/9413.ps.Z">"On the Wavelet 
        Frequency Decomposition Method" </A>
        <LI>K. Urban, <A 
        href="ftp://ftp.igpm.rwth-aachen.de/pub/urban/igpm_106.tar.Z">"A 
        Wavelet-Galerkin Algorithm for the Driven-Cavity-Stokes-Problem in Two 
        Space Dimensions."</A> 
        <LI>O. V. Vasilyev and S. Paolucci, <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/adaptive.ps.gz">" 
        A Dynamically Adaptive Multilevel Wavelet Collocation Method for Solving 
        Partial Differential Equations in a Finite Domain."</A> 
        <LI>O. V. Vasilyev and S. Paolucci, <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/TAC_ASME.ps.gz">" 
        Thermoacoustic Wave Propagation Modeling Using a Dynamically Adaptive 
        Wavelet Collocation Method."</A> 
        <LI>O. V. Vasilyev and S. Paolucci, <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/fast_2d.ps.gz">" 
        A Fast Adaptive Wavelet Collocation Algorithm for Multi-Dimensional 
        PDEs."</A> with <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/fast_2d_figures.ps.gz">figures</A>. 

        <LI>O. V. Vasilyev, S. Paolucci and M. Sen, <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/WML.ps.gz">" 
        A Multilevel Wavelet Collocation Method for Solving Partial Differential 
        Equations in a Finite Domain."</A> 
        <LI>O. V. Vasilyev, Y. Y. Podladchikov and D. A. Yuen, <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/melt_1d.ps.gz">" 
        Modeling of Compaction Driven Flow in Poro-Viscoelastic Medium Using 
        Adaptive Wavelet Collocation Method."</A> with <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/melt_1d_figures.ps.gz">figures</A>. 

        <LI>O. V. Vasilyev, D. A. Yuen and S. Paolucci, <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/comp_phys.ps.gz">" 
        The Solution of PDEs Using Wavelets."</A> with <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/comp_phys_figures.ps.gz">figures</A>. 

        <LI>O. V. Vasilyev, D. A. Yuen and Y. Y. Podladchikov, <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/wlt_grl.ps.gz">" 
        Applicability of Wavelet Algorithm for Geophysical Viscoelastic 
        Flow."</A> with <A 
        href="http://landau.mae.missouri.edu/~vasilyev/Publications/wlt_grl_figures.ps.gz">figures</A>. 

        <LI>R. O. Wells, Jr. and X. Zhou, <A 
        href="ftp://cml.rice.edu/pub/reports/9202.ps.Z">"Wavelet Solutions for 
        the Dirichlet Problem" </A>
        <LI>R. O. Wells, Jr. and X. Zhou, <A 
        href="ftp://cml.rice.edu/pub/reports/9203.ps.Z">"Wavelet Interpolation 
        and Approximate Solution of Elliptic Partial Differential Equations" 
</A>
        <LI>R. O. Wells, Jr. and X. Zhou, <A 
        href="ftp://cml.rice.edu/pub/reports/9214.ps.Z">"Representing the 
        Geometry of Domains by Wavelets with Applications to Partial 
        Differential Equations" </A>
        <LI>R. O. Wells, Jr., <A 
        href="ftp://cml.rice.edu/pub/reports/9409.ps.Z">"Multiscale Applications 
        of Wavelets to Solutions of Partial Differential Equations" </A></LI></UL>
      <HR>

      <H3>Wavelets and Numerical Analysis</H3>
      <UL>
        <LI>G. Beylkin, R. Coifman and V. Rokhlin, <A 
        href="ftp://pascal.math.yale.edu/pub/wavelets/papers/bcr.tex">"Fast 
        Wavelet Transforms and Numerical Algorithms I."</A> 
        <LI>G. Beylkin, <A 
        href="ftp://amath-ftp.colorado.edu/pub/wavelets/papers/ddx.ps.Z">"On the 
        Representation of Operators in Bases of Compactly Supported 
        Wavelets."</A> 
        <LI>G. Beylkin, <A 
        href="ftp://amath-ftp.colorado.edu/pub/wavelets/papers/malgToulouse.ps.Z">"On 
        the Fast Algorithm for Multiplication of Functions in the Wavelet 
        Bases."</A> 
        <LI>G. Beylkin, <A 
        href="ftp://amath-ftp.colorado.edu/pub/wavelets/papers/AMS93.ps.Z">"Wavelets 
        and Fast Numerical Algorithms."</A> Lecture notes for an AMS short 
        course, 1993. 
        <LI>G. Beylkin, <A 
        href="ftp://amath-ftp.colorado.edu/pub/wavelets/papers/INRIA.ps.Z">"Wavelets, 
        Multiresolution Analysis and Fast Numerical Algorithms."</A> Draft of 
        INRIA lectures, May 1991. 
        <LI>G. Beylkin and M. E. Brewster, <A 
        href="ftp://amath-ftp.colorado.edu/pub/wavelets/papers/homog.ps.Z">"A 
        Multiresolution Strategy for Numerical Homogenization."</A> 
        <LI>P. Charton and V. Perrier, <A 
        href="ftp://ftp.lmd.ens.fr/MFGA/pub/wavelets/produits.ps.Z">"Produits 
        Rapides Matrices-Vecteur en Bases d'Ondelettes: Application a la 
        Resolution Numerique d'Equation aux Derivees Partielles." </A>
        <LI>P. Charton, <A 
        href="ftp://ftp.lmd.ens.fr/MFGA/pub/wavelets/these_charton.ps.Z">"Produits 
        de Matrices Rapides en Bases d'Ondelettes: Application a la Resolution 
        Numerique d'Equation aux Derivees Partielles." </A>
        <LI>N. H. Getz, <A 
        href="http://www.inversioninc.com/papers/DPWT.ps.gz">"A Fast Discrete 
        Periodic Wavelet Transform."</A> An associated <A 
        href="ftp://www.inversioninc.com/DPWT/DPWTtoolbox">toolbox</A> of Matlab 
        routines is also available. 
        <LI>L. Jameson, <A 
        href="ftp://ftp.icase.edu/pub/techreports/93/93-80.ps.Z">"On the 
        Spline-Based Wavelet Differentiation Matrix."</A> 
        <LI>L. Jameson, <A 
        href="ftp://ftp.icase.edu/pub/techreports/93/93-94.ps.Z">"On the 
        Differention Matrix for Daubechies-Based Wavelets on an Interval."</A> 
        <LI>L. Jameson, <A 
        href="ftp://ftp.icase.edu/pub/techreports/93/93-95.ps.Z">"On the 
        Daubechies-Based Wavelet Differentiation Matrix."</A> 
        <LI>L. Jameson, <A 
        href="ftp://ftp.icase.edu/pub/techreports/94/94-09.ps.Z">"On the Wavelet 
        Optimized Finite Difference Method."</A> 
        <LI>E. Kolaczyk, <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Text.ps.Z">"Wavelet 
        Methods for the Inversion of Certain Homogeneous Linear Operators in the 
        Presence of Noisy Data,"</A> with <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Fig5.1.ps.Z">fig 
        5.1,</A> <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Figs5.2n3.ps.Z">figs 
        5.2,</A> <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Fig5.4.ps.Z">fig 
        5.4,</A> <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Fig5.5.ps.Z">fig 
        5.5,</A> <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Figs5.6n7.ps.Z">figs 
        5.6,</A> <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Figs5.8n9.ps.Z">figs 
        5.8,</A> <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Fig5.10.ps.Z">fig 
        5.10,</A> <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Figs5.11n12.ps.Z">figs 
        5.11,</A> <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Fig5.13.ps.Z">fig 
        5.13,</A> and <A 
        href="ftp://galton.uchicago.edu/pub/kolaczyk/Thesis/KolaczykThesis_Figs5.14n15.ps.Z">figs 
        5.14.</A> 
        <LI>R. Piessens and W. Sweldens, <A 
        href="http://cm.bell-labs.com/who/wim/papers/quad.ps.gz">"Quadrature 
        Formulae and Asymptotic Error Expansion of Wavelet Approximations of 
        Smooth Functions."</A> An <A 
        href="http://cm.bell-labs.com/who/wim/papers/papers.html#quad">abstract</A> 
        is also available. 
        <LI>R. Piessens and W. Sweldens, <A 
        href="http://cm.bell-labs.com/who/wim/papers/quad.ps.gz">"Asymptotic 
        Error Expansion of Wavelet Approximations of Smooth Functions II."</A> 
        An <A 
        href="http://cm.bell-labs.com/who/wim/papers/papers.html#error">abstract</A> 
        is also available. 
        <LI>W. C. Shann, <A 
        href="ftp://dongpo.math.ncu.edu.tw/pub/shann/publications/9301.ps">"Quadratures 
        Involving Polynomials and Daubechies' Wavelets."</A> 
        <LI>W. Sweldens, <A 
        href="http://cm.bell-labs.com/who/wim/thesis">"Construction and 
        Appli