Title	Solving non-linear PDEs with the Lasserre hierarchy
Creator	Henrion, Didier
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-29T10:32
Description	We show how the Lasserre hierarchy can solve a class of non-linear partial differential equations (PDEs), with rigorous convergence guarantees. We use a weak formulation of the nonlinear PDE, resulting in a linear equation in the space of measures, to be solved numerically and approximately with the hierarchy. The entire approach is based purely on convex optimization and it does not rely on spatio-temporal gridding, even though the PDE addressed can be fully nonlinear.
Extent	30.0 minutes
Subject	Mathematics; Operations research, mathematical programming; Algebraic geometry; Control/Optimization/Operation Research
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: LAAS-CNRS, University of Toulouse
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-11-26
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385895
URI	http://hdl.handle.net/2429/72415
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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