Title	Stochastic regularity of a quadratic observable of high frequency waves
Creator	Runborg, Olof
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-10-10T10:51
Description	We consider uncertainty quantification for high frequency waves. A crucial assumption for stochastic collocation methods to converge rapidly is the stochastic regularity of the QoI. In the high frequency regime, the derivatives in the stochastic variable should preferably be bounded independently of the wavelength. We show that, despite the highly oscillatory character of the waves, QoIs defined as local averages of the squared modulus of the wave solution approximated by Gaussian beams, indeed have this property.
Extent	21 minutes
Subject	Mathematics; Probability theory and stochastic processes; Numerical analysis; Industrial mathematics / modelling and simulation
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: KTH
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-04-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0365248
URI	http://hdl.handle.net/2429/65176
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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