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Mimetic Difference Operators and Symplectic Integration Castillo, Jose
Description
Instead of the usual presentation given to the formulation of Initial Boundary Boundary Value Problems (IBVP), we do no take the partition of the continuous media directly to the limit of zero shrinking size concerning the spatial dimensions at any given time, which leads to some differential expression for the limiting net force upon the element. We consider each media element as a single particle evolving in “time” under a “force” represented by the discrete mimetic analog of the differential expression. We base our approach on a discrete extended Gauss’s divergence theorem, without using exterior calculus, to construct our mimetic operators combined with a symplectic integration scheme.
Item Metadata
Title |
Mimetic Difference Operators and Symplectic Integration
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-06-15T14:36
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Description |
Instead of the usual presentation given to the formulation of Initial Boundary Boundary Value Problems (IBVP), we do no take the partition of the continuous media directly to the limit of zero shrinking size concerning the spatial dimensions at any given time, which leads to some differential expression for the limiting net force upon the element. We consider each media element as a single particle evolving in “time” under a “force” represented by the discrete mimetic analog of the differential expression.
We base our approach on a discrete extended Gauss’s divergence theorem, without using exterior calculus, to construct our mimetic operators combined with a symplectic integration scheme.
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Extent |
50 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: San Diego State University
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Series | |
Date Available |
2017-12-13
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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 |
10.14288/1.0361980
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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