Title	Higher order forward time-step algorithms for solving diverse evolution equations
Creator	Chin, Siu
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-08-16T11:02
Description	The well-know pseudo-spectral second-order splitting method has been the work-horse algorithm for solving the time-dependent Schrodinger equation for decades. However, it has been only ~30 years that one learns how to generalize this algorithm to fourth and higher orders. During that period, one also learned about the crucial distinction between solving time-reversible and time-irreversible quantum evolution equations. In this work, I show that there is only one class of fourth-order, forward time step algorithm that can solve both time-reversible and time-irreversible equations with equal efficiency. Other higher order algorithms based on multi-product expansion and complex coefficient will also be mentioned.
Extent	59 minutes
Subject	Mathematics; Quantum theory; Optics, electromagnetic theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Texas A&M University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2018-02-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0363496
URI	http://hdl.handle.net/2429/64620
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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Higher order forward time-step algorithms for solving diverse evolution equations Chin, Siu

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