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Large Long-time behaviour of numerical integrators for charged particle dynamics Hairer, Ernst
Description
The Boris algorithm is the most popular time integrator for charged particle motion in electric and magnetic force fields. It is a symmetric one-step method, and it preserves the phase volume exactly. However, it is not symplectic. Nevertheless, numerical experiments confirm an excellent long-time near energy preservation of the system. In this talk we present a multistep extension of the Boris algorithm, which is explicit, symmetric, and has arbitrarily high order. Near preservation of energy and momentum for the underlying one-step method, and the boundedness of parasitic solution components are proved. A rigorous proof for the excellent near energy preservation of the Boris algorithm is still missing. (We thank Martin Gander for drawing our attention to this problem.)
Item Metadata
Title |
Large Long-time behaviour of numerical integrators for charged particle dynamics
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-06-13T09:00
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Description |
The Boris algorithm is the most popular time integrator for charged particle motion in electric and magnetic force fields. It is a symmetric one-step method, and it preserves the phase volume exactly. However, it is not symplectic. Nevertheless, numerical experiments confirm an excellent long-time near energy preservation of the system.
In this talk we present a multistep extension of the Boris algorithm, which is explicit, symmetric, and has arbitrarily high order. Near preservation of energy and momentum for the underlying one-step method, and the boundedness of parasitic solution components are proved.
A rigorous proof for the excellent near energy preservation of the Boris algorithm is still missing.
(We thank Martin Gander for drawing our attention to this problem.)
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Extent |
63 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Geneva
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Series | |
Date Available |
2017-12-11
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0361781
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International