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Discrete Invariant Variational Problems
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2011 (English)MasteroppgaveStudent thesis
Abstract [en]
This 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.
Place, publisher, year, edition, pages
Institutt for matematiske fag , 2011. , 68 p.
Keyword [no]
ntnudaim:6034, MTFYMA fysikk og matematikk, Industriell matematikk
URN: urn:nbn:no:ntnu:diva-13143Local ID: ntnudaim:6034OAI: diva2:433746
Available from: 2011-08-11 Created: 2011-08-11

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