English
Somes perspectives of computational harmonic analysis in numerics
Multi angle
Auteurs : Grohs, Philipp (Auteur de la conférence)
CIRM (Editeur )
42C15 - General harmonic expansions, frames
42C40 - Wavelets and other special systems
65Txx - Numerical methods in Fourier analysis
CIRM (Editeur )
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Résumé :
Wavelets are standard tool in signal- and image processing. It has taken a long time until wavelet methods have been accepted in numerical analysis as useful tools for the numerical discretization of certain PDEs. In the signal- and image processing community several new frame constructions have been introduced in recent years (curvelets, shearlets, ridgelets, ...). Question: Can they be used also in numerical analysis? This talk: Small first step.
Codes MSC : 42C15 - General harmonic expansions, frames
42C40 - Wavelets and other special systems
65Txx - Numerical methods in Fourier analysis
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 12/03/15 Date de Captation : 24/01/15 Collection : Actions thématiques ; 30 Years of Wavelets Catégorie arXiv : Classical Analysis and ODEs Domaine(s) : Analyse & Applications Format : MP4 (.mp4) - HD Durée : 00:32:50 Audience : Chercheurs Download : https://videos.cirm-math.fr/2015-01-24_Grohs.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : 30 years of wavelets / 30 ans des ondelettesOrganisateurs de la Rencontre : Feichtinger, Hans G. ; Torrésani, Bruno Dates : 23/01/15 - 24/01/15 Année de la rencontre : 2015 URL de la Rencontre : https://www.chairejeanmorlet.com/1523.html
Données de citation
DOI : 10.24350/CIRM.V.18720803Citer cette vidéo: Grohs, Philipp (2015). Somes perspectives of computational harmonic analysis in numerics. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18720803 URI : http://dx.doi.org/10.24350/CIRM.V.18720803 |
Bibliographie
- [1] Dahmen, W., Huang, C., Kutyniok, G., Lim, W.-Q, Schwab, C., & Welper, G. (2014). Efficient resolution of anisotropic structures. In S. Dahlke, et al. (Eds.), Extraction of quantifiable information from complex systems (pp. 25-51). Cham: Springer. (Lecture Notes in Computational Science and Engineering, 102) - http://dx.doi.org/10.1007/978-3-319-08159-5_2
- [2] Etter, S., Grohs, P., & Obermeier, A. (2015). FFRT: a fast finite ridgelet transform for radiative transport. Multiscale Modeling & Simulation, 13(1), 1-42 - http://dx.doi.org/10.1137/140977722
- [3] Fonn, E., Grohs, P., & Hiptmair, R. (2014). Polar spectral scheme for the spatially homogeneous Boltzmann equation. Seminar for Applied Mathematics, ETH Zürich, report 2014-13 - http://www.sam.math.ethz.ch/sam_reports/reports_final/reports2014/2014-13.pdf
- [4] Grohs, P., & Obermeier, A. (2014). Optimal adaptive ridgelet schemes for linear transport equations. Seminar for Applied Mathematics, ETH Zürich, report 2014-21 - http://www.sam.math.ethz.ch/sam_reports/reports_final/reports2014/2014-21.pdf
- [5] Kitzler, G., & Schöberl, J. (2013). Efficient spectral methods for the spatially homogeneous Boltzmann equation. Institute for Analysis and Scientific Computing, Vienna University of Technology, report 13/2013 - http://www.asc.tuwien.ac.at/preprint/2013/asc13x2013.pdf
