ESI12
Modern Methods of Time-Frequency 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
12-16 NOV 2012


see »program
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


abstracts
  1. "Wavelet collocation for fourth order problems"
    Bertoluzza, Silvia
  2. "Adaptivity and complexity in high-order discretizations of elliptic problems"
    Canuto, Claudio
  3. "Piecewise tensor product wavelet bases by extensions and approximation rates"
    Friedrich, Ulrich
  4. "L^\infty Estimates for Tensor Truncation"
    Hackbusch, Wolfgang
  5. "On the construction of sparse tensor product spaces"
    Harbrecht, Helmut
  6. "Adaptive wavelet Galerkin methods: Extension to unbounded domains and fast evaluation of system matrices"
    Kestler, Sebastian
  7. "Towards a new generation of adaptive climate models using wavelets"
    Kevlahan, Nicholas
  8. "On the convergence analysis of Rothe's method"
    Kinzel, Stephane
  9. "Adaptive Approximations for PDE-Constrained Parabolic Control Problems with Stochastic Coefficients"
    Kunoth, Angela
  10. "Wavelet methods for stochastic evolution problems driven by noise"
    Larsson, Stig
  11. "Adaptive wavelet domain decomposition methods for nonlinear elliptic PDEs"
    Lellek, Dominik
  12. "[CANCELED] Uncertainty principles and localization measures"
    Maass, Peter
  13. "Quarkonial frames of wavelet type - Stability, approximation and compression properties"
    Raasch, Thorsten
  14. "Vector tensorization and advances in tensor approximation"
    Schneider, Reinhold
  15. "Adaptive wavelet Galerkin methods for solving well-posed operator equations"
    Stevenson, Rob
  16. "Generalized Sampling: Extension to Frames and Inverse Problems"
    Teschke, Gerd
  17. "Wavelets as an analysis tool for adaptive numerical methods"
    Tsogtgerel, Gantumur
Participants:
  1. Silvia Bertoluzza (CNR, Torino) ITALY
  2. Claudio Canuto (Polytechnic University of Torino) ITALY
  3. Stephan Dahlke (University of Marburg) GERMANY
  4. Hans G. Feichtinger (NuHAG, Univ. Vienna) AUSTRIA
  5. Massimo Fornasier (TU Munich) GERMANY
  6. Ulrich Friedrich (Philipps-University Marburg) GERMANY
  7. Wolfgang Hackbusch (Max-Planck-Institut ) GERMANY
  8. Helmut Harbrecht (University of Basel) SWITZERLAND
  9. Sebastian Kestler (University of Ulm) GERMANY
  10. Nicholas Kevlahan (McMaster University) CANADA
  11. Stephane Kinzel (Philipps-University Marburg) GERMANY
  12. Angela Kunoth (University of Paderborn) GERMANY
  13. Stig Larsson (Chalmers University of Technology) SWEDEN
  14. Dominik Lellek (Philipps-University Marburg) GERMANY
  15. Peter Maass (University of Bremen) GERMANY
  16. Marius Mantoiu (Univ. Santiago de Chile und Romanian Academy of Sciences) CHILE
  17. Thorsten Raasch (Johannes Gutenberg University) GERMANY
  18. Reinhold Schneider (TU Berlin) GERMANY
  19. Peter Soendergaard (Technical University of Denmark) DENMARK
  20. Rob Stevenson (University of Amsterdam) NETHERLANDS
  21. Anita Tabacco (Polytechnic University of Torino) ITALY
  22. Gerd Teschke (Neubrandenburg University of Applied Sciences) GERMANY
  23. Gantumur Tsogtgerel (McGill University) CANADA

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