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dc.contributor.advisorOwren, Brynjulfnb_NO
dc.contributor.authorBogfjellmo, Geirnb_NO
dc.date.accessioned2014-12-19T13:59:10Z
dc.date.available2014-12-19T13:59:10Z
dc.date.created2011-08-11nb_NO
dc.date.issued2011nb_NO
dc.identifier433746nb_NO
dc.identifierntnudaim:6034nb_NO
dc.identifier.urihttp://hdl.handle.net/11250/258899
dc.description.abstractThis thesis studies variational problems invariant under a Lie group transformation, and invariant discretizations of these. In chapters two and three, a general method for creating symplectic integrators preserving certain classes of variational symmetries of first order Lagrangians is developed and demonstrated. In chapters four and five, it is assumed that the discrete Lagrangian is invariant under a certain group action, and the Euler--Lagrange equations for the variational problem are expressed in the invariants of the group action.nb_NO
dc.languageengnb_NO
dc.publisherInstitutt for matematiske fagnb_NO
dc.subjectntnudaim:6034no_NO
dc.subjectMTFYMA fysikk og matematikkno_NO
dc.subjectIndustriell matematikkno_NO
dc.titleDiscrete Invariant Variational Problemsnb_NO
dc.typeMaster thesisnb_NO
dc.source.pagenumber68nb_NO
dc.contributor.departmentNorges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fagnb_NO


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