ESI12

Modern Methods of TimeFrequency Analysis II
September 10th to December 15th, 2012 Erwin Schroedinger Institute (Univ. Vienna)




Workshop:
[W4] Wavelet methods in scientific computing
organized by Stephan Dahlke and Massimo Fornasier
1216 NOV 2012
see »program

Wavelets are by now a wellestablished 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 highdimensional 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 highdimensional problems
 Wavelet methods for inverse and illposed problems

abstracts
 "Wavelet collocation for fourth order problems"
Bertoluzza, Silvia
 "Adaptivity and complexity in highorder discretizations of elliptic problems"
Canuto, Claudio
 "Piecewise tensor product wavelet bases by extensions and approximation rates"
Friedrich, Ulrich
 "L^\infty Estimates for Tensor Truncation"
Hackbusch, Wolfgang
 "On the construction of sparse tensor product spaces"
Harbrecht, Helmut
 "Adaptive wavelet Galerkin methods: Extension to unbounded domains and fast evaluation of system matrices"
Kestler, Sebastian
 "Towards a new generation of adaptive climate models using wavelets"
Kevlahan, Nicholas
 "On the convergence analysis of Rothe's method"
Kinzel, Stephane
 "Adaptive Approximations for PDEConstrained Parabolic Control Problems with Stochastic Coefficients"
Kunoth, Angela
 "Wavelet methods for stochastic evolution problems driven by noise"
Larsson, Stig
 "Adaptive wavelet domain decomposition methods for nonlinear elliptic PDEs"
Lellek, Dominik
 "[CANCELED] Uncertainty principles and localization measures"
Maass, Peter
 "Quarkonial frames of wavelet type  Stability, approximation and compression properties"
Raasch, Thorsten
 "Vector tensorization and advances in tensor approximation"
Schneider, Reinhold
 "Adaptive wavelet Galerkin methods for solving wellposed operator equations"
Stevenson, Rob
 "Generalized Sampling: Extension to Frames and Inverse Problems"
Teschke, Gerd
 "Wavelets as an analysis tool for adaptive numerical methods"
Tsogtgerel, Gantumur

Participants:
 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 (PhilippsUniversity Marburg) GERMANY
 Wolfgang Hackbusch (MaxPlanckInstitut ) GERMANY
 Helmut Harbrecht (University of Basel) SWITZERLAND
 Sebastian Kestler (University of Ulm) GERMANY
 Nicholas Kevlahan (McMaster University) CANADA
 Stephane Kinzel (PhilippsUniversity Marburg) GERMANY
 Angela Kunoth (University of Paderborn) GERMANY
 Stig Larsson (Chalmers University of Technology) SWEDEN
 Dominik Lellek (PhilippsUniversity 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


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