Title	Space-time Legendre Spectral Collocation Methods
Creator	Lui, Shaun
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-12-01T11:12
Description	Spectral methods solve elliptic PDEs numerically with errors bounded by an exponentially decaying function of the number of modes when the solution is analytic. For time dependent problems, almost all focus has been on low-order finite difference schemes for the time derivative and spectral schemes for spatial derivatives. Spectral methods which converge spectrally in both space and time have appeared recently. This paper shows the exponential convergence of the heat equation for a Legendre spectral collocation method. A condition number estimate of the method is also given.
Extent	30 minutes
Subject	Mathematics; Numerical analysis; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Manitoba
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-05-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0347493
URI	http://hdl.handle.net/2429/61662
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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