Welcome to the TMR Project "Wavelets in Numerical Simulation"

Basic tools. UPMC, Paris Database.

• Solving the periodic 1D Burgers equation using wavelet packet bases
  
  You can download burgers.tar.gz file which contains
  - the Fortran program for multiresolution analysis of one dimensional Burgers'equation
  - the description in the postscript file Lisezmoi.ps
  - an example of use in two postscript files: input.ps and output.ps
  and documentation tar.gz file which contains an additional information
  
  
• Extension of a function of 2 variables outside a prescribed domain
  using multiscale decomposition
  
  You can download extra2.tar.gz file which contains
  - the C program performing the extension of a function of 2 variables
  outside a prescribed domain using multiscale decomposition
  - the full description of use in file README
  - some parameter files for tests
  and documentation
  
  
• Solving the Laplacian equation on the L-shaped domain using a Q_1 discretization on a uniform dyadic grid
  
  You can download lapLshap.tar.gz file which contains
  - the Fortran programs for adaptive multiresolution analysis of two dimensional Laplace equation in a L shaped domain
  - the complete description in file readme
  - the makefile
  - some parameter files for tests
  and documentation
  
  
• Solving the Laplacian equation with homogeneous boundary conditions on the square [0,1]^2 by an adaptive wavelet algorithm
  
  You can download lapadap.tar.gz file which contains
  - the Fortran programs for adaptive multiresolution analysis of two dimensional Laplace equation in a squared domain
  - the complete description in file readme
  - the makefile
  - some parameter files for tests
  and documentation
  
  
• Available Wavelet Filters (coefficients, plots and main properties):
  orthogonal Coiflets and Daubechies filters, biorthogonal spline and interpolation filters
  
  
• REGISTERED MEMBERS can insert a software in the Wavelet Database