Somes perspectives of computational harmonic analysis in numerics | Vidéo | Carmin.tv

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Somes perspectives of computational harmonic analysis in numerics

By Philipp Grohs

Appears in collections : Special events, 30 Years of Wavelets, 30 years of wavelets / 30 ans des ondelettes, Actions thématiques

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.

Information about the video

Date of recording 24/01/2015
Date of publication 12/03/2015
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18720803
Cite this video Grohs, Philipp (24/01/2015). Somes perspectives of computational harmonic analysis in numerics. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18720803
URL https://dx.doi.org/10.24350/CIRM.V.18720803

Domain(s)

Classical Analysis and ODEs

Bibliography

[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

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