Title	Nested Picard Iterative Integrators for the Dirac equation in the nonrelativistic limit
Creator	Cai, Yongyong
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-12-06T10:58
Description	We present the construction and analysis of uniformly accurate nested Picard iterative integrators (NPI) for the Dirac equation in the nonrelativistic limit involving a dimensionless parameter inversely proportional to the speed of light. To overcome the difficulty induced by the rapid temporal oscillation, we present the construction of several NPI methods which are uniformly first-, second- and third-order convergent in time. The NPI method can be extended to arbitrary higher order in time with optimal and uniform accuracy. The implementation of the second order NPI method will be demonstrated and analyzed.
Extent	28.0
Subject	Mathematics; Numerical analysis; Partial differential equations; Scientific computing
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Beijing Computational Science Research Center
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	10.14288/1.0379283
URI	http://hdl.handle.net/2429/70506
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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