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Title	A dynamic Low-rank approximation for the Vlasov equation
Creator	Einkemmer, Lukas
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-12-06T13:31
Description	Many problems encountered in plasma physics require a kinetic description. The associated partial differential equations are posed in an up to six-dimensional phase space. A direct discretization of this phase space, often called the Eulerian approach, has many advantages but is extremely expensive from a computational point of view. In this talk we propose a dynamical low-rank approximation to the Vlasov equation. This approximation is derived by constraining the dynamics to a manifold of low-rank functions via a tangent space projection. Then the projection is split into the sub-projections from which it is built. This reduces a time step for the six- (or four-) dimensional Vlasov--Poisson equation to solving two systems of three- (or two-) dimensional advection equations. This projector-splitting approach also enables us to dynamically adjust the rank during the simulation.
Extent	34.0
Subject	Mathematics Numerical analysis Partial differential equations Scientific computing
Geographic Location	Banff (Alta.)
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: University of Innsbruck
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-06-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0379284
URI	http://hdl.handle.net/2429/70507
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository	DSpace

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