designed by -hSc-
Modern Methods of Time-Frequency Analysis II
September 10th to December 15th, 2012
Erwin Schroedinger Institute (Univ. Vienna)
[W4] Wavelet methods in scientific computing
organized by Stephan Dahlke and Massimo Fornasier
12-16 NOV 2012
Wavelets are by now a well-established tool in scientifc computing, in
particular for the numerical treatment of operator equations. Compared
to other methods, wavelets provide the following advantages. The strong
analytical properties of wavelets, in particular their ability to
characterize function spaces such as Sobolev or Besov spaces, can be
used to design adaptive numerical schemes that are guaranteed to
converge for a huge class of problems including operators of negative
order. Moreover, the vanishing moments of wavelets give rise to
compression strategies for densely populated matrices. Quite recently,
it has also turned out that variants of the classical wavelet
algorithms (tensor wavelets, orthogonal multiwavelets)
have som potential to treat high-dimensional problems. Furthermore, the
treatment of inverse problems by (adaptive) wavelet algorithms is
currently one of the hot topics.
Therefore, the aim of this workshop is to discuss the state of the art
and the further perspectives of wavelet methods in scientific computing.
The topics to be discussed include, but are not limited to:
- Adaptive wavelet algorithms
- Wavelets methods for integral equations
- Wavelet methods for high-dimensional problems
- Wavelet methods for inverse and ill-posed problems
- "Wavelet collocation for fourth order problems"
- "Adaptivity and complexity in high-order discretizations of elliptic problems"
- "Piecewise tensor product wavelet bases by extensions and approximation rates"
- "L^\infty Estimates for Tensor Truncation"
- "On the construction of sparse tensor product spaces"
- "Adaptive wavelet Galerkin methods: Extension to unbounded domains and fast evaluation of system matrices"
- "Towards a new generation of adaptive climate models using wavelets"
- "On the convergence analysis of Rothe's method"
- "Adaptive Approximations for PDE-Constrained Parabolic Control Problems with Stochastic Coefficients"
- "Wavelet methods for stochastic evolution problems driven by noise"
- "Adaptive wavelet domain decomposition methods for nonlinear elliptic PDEs"
- "[CANCELED] Uncertainty principles and localization measures"
- "Quarkonial frames of wavelet type - Stability, approximation and compression properties"
- "Vector tensorization and advances in tensor approximation"
- "Adaptive wavelet Galerkin methods for solving well-posed operator equations"
- "Generalized Sampling: Extension to Frames and Inverse Problems"
- "Wavelets as an analysis tool for adaptive numerical methods"
- Silvia Bertoluzza (CNR, Torino) ITALY
- Claudio Canuto (Polytechnic University of Torino) ITALY
- Stephan Dahlke (University of Marburg) GERMANY
- Hans G. Feichtinger (NuHAG, Univ. Vienna) AUSTRIA
- Massimo Fornasier (TU Munich) GERMANY
- Ulrich Friedrich (Philipps-University Marburg) GERMANY
- Wolfgang Hackbusch (Max-Planck-Institut ) GERMANY
- Helmut Harbrecht (University of Basel) SWITZERLAND
- Sebastian Kestler (University of Ulm) GERMANY
- Nicholas Kevlahan (McMaster University) CANADA
- Stephane Kinzel (Philipps-University Marburg) GERMANY
- Angela Kunoth (University of Paderborn) GERMANY
- Stig Larsson (Chalmers University of Technology) SWEDEN
- Dominik Lellek (Philipps-University Marburg) GERMANY
- Peter Maass (University of Bremen) GERMANY
- Marius Mantoiu (Univ. Santiago de Chile und Romanian Academy of Sciences) CHILE
- Thorsten Raasch (Johannes Gutenberg University) GERMANY
- Reinhold Schneider (TU Berlin) GERMANY
- Peter Soendergaard (Technical University of Denmark) DENMARK
- Rob Stevenson (University of Amsterdam) NETHERLANDS
- Anita Tabacco (Polytechnic University of Torino) ITALY
- Gerd Teschke (Neubrandenburg University of Applied Sciences) GERMANY
- Gantumur Tsogtgerel (McGill University) CANADA