Euler-Poincare reduction for discrete field theories

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dc.creatorVankerschaver, Joris
dc.date2006-06-12
dc.date2007-03-29
dc.date.accessioned2026-07-07T11:07:20Z
dc.date.available2026-07-07T11:07:20Z
dc.descriptionIn this note, we develop a theory of Euler-Poincare reduction for discrete Lagrangian field theories. We introduce the concept of Euler-Poincare equations for discrete field theories, as well as a natural extension of the Moser-Veselov scheme, and show that both are equivalent. The resulting discrete field equations are interpreted in terms of discrete differential geometry. An application to the theory of discrete harmonic mappings is also briefly discussed.
dc.description24 pages, 3 figures (v2: simplified treatment)
dc.identifierhttps://arxiv.org/abs/math-ph/0606033
dc.identifierhttp://arxiv.org/abs/math-ph/0606033
dc.identifierJ.Math.Phys.48:032902,2007
dc.identifierdoi:10.1063/1.2712419
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189810
dc.subjectMathematical Physics
dc.subject58H05; 65P10; 70S10
dc.titleEuler-Poincare reduction for discrete field theories
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