Prof. Dr. Massimo Fornasier (RICAM, Linz): Innovative Sparse Recovery Methods for PDE's |
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| Startdatum/-zeit: | 12.05.2010 17:15 |
| Enddatum/-zeit: | 12.05.2010 |
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| Adresse: | Fachbereich Mathematik/ Informatik, Institut für Mathematik Prof. Dr. Gitta Kutyniok Albrechtstr. 28a 49076 Osnabrück |
| Telefon: | 0541 - 969 - 3516 |
| Telefax: | 0541 - 969 - 2770 |
| E-Mail: | kutyniok@uos.de |
| Homepage: | http://www.mathematik.uni-osnabrueck.de/kolloquium.html |
Veranstaltungsort: |
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| Adresse: | Institut für Mathematik Institut für Mathematik, Geb. 69/ Raum 125 Albrechtstr. 28a, 49076 Osnabrück |
| Karte: | Bei Google Maps anzeigen |
| Beschreibung: | Solutions of certain PDEs and variational problems may be characterized by "a few significant degrees of freedom", and one may want to take advantage of this feature in order to design efficient numerical solutions. Examples of such situations are ubiquitous: adaptive solution of PDEs, degenerate PDEs for image processing, crack modelling and free-discontinuity problems, viscosity solutions of Hamilton-Jacobi equations, digital signal coding/decoding, and compressed sensing. In this talk we focus on methods for the compressed solution of PDEs and we address three different topics. 1) Adaptive numerical methods for elliptic PDEs by means of redundant frame discretizations; 2) Numerical methods for 1-Laplacian equations associated to total variation minimization; 3) Inverse free-discontinuity problems. |
| Kategorie: | Mathematisches Kolloquium |
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