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Somes perspectives of computational harmonic analysis in numerics
Multi angle
Authors : Grohs, Philipp (Author of the conference)
CIRM (Publisher )
42C15 - General harmonic expansions, frames
42C40 - Wavelets and other special systems
65Txx - Numerical methods in Fourier analysis
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 42C15 - General harmonic expansions, frames
42C40 - Wavelets and other special systems
65Txx - Numerical methods in Fourier analysis
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 12/03/15 Conference Date : 24/01/15 Series : Special events ; 30 Years of Wavelets arXiv category : Classical Analysis and ODEs Mathematical Area(s) : Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 00:32:50 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-01-24_Grohs.mp4 
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Information on the Event
Event Title : 30 years of wavelets / 30 ans des ondelettesEvent Organizers : Feichtinger, Hans G. ; Torrésani, Bruno Dates : 23/01/15 - 24/01/15 Event Year : 2015 Event URL : https://www.chairejeanmorlet.com/1523.html
Citation Data
DOI : 10.24350/CIRM.V.18720803Cite this video as: 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 |
Bibliography
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- [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
