First variation formula for discrete variational problems in two independent variables
type: Item
instance of: scholarly article
title: First variation formula for discrete variational problems in two independent variables
zbMATH Open document ID: 1264.58008
author: Ana Cristina Casimiro
author: C. Rodrigo
published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
publication date: 2013-01-30T00:00:00Z
review text: The authors introduce a geometric setup for discrete variational problems in two independent variables, which is based on the theory of bundles modelled on cell complexes. Using this approach, geometrical characterizations of the first variation formula (see Theorem 2) and the Discrete Noether theorem (see Theorem 4) are given. Finally, the existence of some discrete variational integrators is investigated (see Section 4) and the theory is illustrated by an example concerning a variational integrator for the movement of a string.
Mathematics Subject Classification ID: 58E30
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A14
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 49K10
Mathematics Subject Classification ID: 70S05
Mathematics Subject Classification ID: 70S10
zbMATH DE Number: 6132858
zbMATH Keywords: discrete calculus of variations
zbMATH Keywords: conservation laws
zbMATH Keywords: first variation formula
zbMATH Keywords: variational integrators
reviewed by: Petr Zemánek
MaRDI profile type: Publication
full work available at URL: s13398-011-0034-6
OpenAlex ID: W2072806470
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DOI: 10.1007/S13398-011-0034-6
description: scientific article; zbMATH DE number 6132858