Title	Connections between collocation and Galerkin methods
Creator	Duncan, Dugald
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-01-21T16:02
Description	We look at the connections between collocation methods based on B-splines basis functions in time, and Galerkin methods also using B-splines, but of lower order. The collocation method can be written as a Galerkin method applied to a modified variational problem (for bounded time interval calculations). We use results introduced by Ha Duong to bound the difference between the exact solutions (if they exist) of these two variational problems. However questions remain about how to use the Ha Duong analysis to bound the difference of the approximate solutions using Galerkin.
Extent	20 minutes
Subject	Mathematics; Numerical analysis; Integral equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Heriot-Watt University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-07-22
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0306917
URI	http://hdl.handle.net/2429/58521
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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