Field theories: reduction, constraints and variational integrators
| dc.contributor.author | Castrillón López, Marco | |
| dc.date.accessioned | 2023-06-20T03:32:48Z | |
| dc.date.available | 2023-06-20T03:32:48Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The goal of this short note is to show the constrained nature of the set of variations and the set of admissible sections of the Euler-Poincare reduction scheme for field theories in both the continuous formalism and in a discrete model | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21373 | |
| dc.identifier.doi | 10.1007/s13398-011-0020-z | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.officialurl | http://link.springer.com/article/10.1007%2Fs13398-011-0020-z | |
| dc.identifier.relatedurl | http://link.springer.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/43820 | |
| dc.issue.number | 1 | |
| dc.journal.title | Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A: Matemáticas | |
| dc.page.final | 74 | |
| dc.page.initial | 67 | |
| dc.publisher | Real Academia Ciencias Exactas Físicas Y Naturales | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 515.16 | |
| dc.subject.keyword | constraint | |
| dc.subject.keyword | discretization | |
| dc.subject.keyword | jet space | |
| dc.subject.keyword | reduction | |
| dc.subject.keyword | symmetry | |
| dc.subject.keyword | variational calculus | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Field theories: reduction, constraints and variational integrators | |
| dc.type | journal article | |
| dc.volume.number | 106 | |
| dcterms.references | Castrillón López, M., García, P.L., Ratiu, T.: Euler–Poincaré reduction on principal bundles. Lett. Math. Phys. 58(2), 167–180 (2001) Castrillón López, M., Marsden, J.: Some remarks on Lagrangian and Poisson reduction for field theories. J. Geom. Phys. 48(1), 52–83 (2003) Castrillón López, M., Munoz Masqué, J.: The geometry of the bundle of connections. Math. Z. 236(4), 797–811 (2001) Marsden, J.E., Patrick, G., Shkoller, S.: Multisymplectic geometry, variational integrators, and nonlinear PDEs. Comm. Math. Phys. 199, 351–395 (1998) Moser, J., Veselov, A.: Discrete versions of some classical integrable systems and factorization of matrix polynomials. Comm. Math. Phys. 139(2), 217–243 (1991) Saunders, D.J.: The geometry of jet manifolds. Cambridge University Press, Cambridge (1989) Vankerschaver, J.: Euler–Poincaré reduction for discrete field theories, J. Math. Phys. 48(3), 032902 (2007) | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 32e59067-ef83-4ca6-8435-cd0721eb706b | |
| relation.isAuthorOfPublication.latestForDiscovery | 32e59067-ef83-4ca6-8435-cd0721eb706b |