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Title	Lagrangian schemes for Wasserstein gradient flows
Creator	Düring, Bertram
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-02T11:00
Description	A wide range of diffusion equations can be interpreted as gradient flow with respect to Wasserstein distance of an energy functional. Examples include the heat equation, the porous medium equation, and the fourth-order Derrida-Lebowitz-Speer-Spohn equation. When it comes to solving equations of gradient flow type numerically, schemes that respect the equation's special structure are of particular interest. The gradient flow structure gives rise to a variational scheme by means of the minimising movement scheme (also called JKO scheme, after the seminal work of Jordan, Kinderlehrer and Otto) which constitutes a time-discrete minimization problem for the energy. While the scheme has been used originally for analytical aspects, a number of authors have explored the numerical potential of this scheme. Such schemes often use a Lagrangian representation where instead of the density, the evolution of a time-dependent homeomorphism that describes the spatial redistribution of the density is considered.
Extent	51 minutes
Subject	Mathematics Calculus of variations and optimal control; optimization Statistics Scientific computing
Geographic Location	Oaxaca (Mexico : State)
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: University of Sussex
Series	BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Date Available	2017-10-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357386
URI	http://hdl.handle.net/2429/63481
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository	DSpace

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