Monday July 25/8:00
Wavelets and Their Applications in PDE
Wavelets have proven to be a powerful tool for representation and approximation of functions and distributions. Wavelet bases are particularly well suited for applications in the numerical solution of partial differential equations, especially when the solutions possess singularities. They provide an alternative to the classical Fourier methods. Although in certain aspects, wavelet algorithms are not as convenient to use as Fourier techniques, recent research has demonstrated that in many cases, wavelets can lead to more efficient algorithms. Computer implementations of wavelet numerical schemes have been devised. The speakers will discuss wavelet technique in solution of a variety of PDEs.
Organizers: Man K. Kwong and P. T. Peter Tang
Argonne National Laboratory and
T. Bielecki, J. Chen, and Stephen Yau
University of Illinois, Chicago
- 8:00: Wavelets, Turbulence and Boundary Value Problems for Partial Differential Equations
John Weiss, Aware, Inc.
- 8:30: The Wavelet Based Galerkin Method to Kolmogorov Equation
Zhigang Liang, University of Illinois, Chicago, and Stephen Yau, Co-organizer
- 9:00: Wavelet-Galerkin Solution of a Boussinesq System
Juan M. Restrepo and Gary Leaf, Argonne National Laboratory
- 9:30: Wavelets and Multifractal Formalism
Stephane P. Jaffard, CERMA-Ecole National de Ponts Chaussees, France