Mansfield, Elizabeth L., Rojo-Echeburua, Ana (2019) Moving Frames and Noether’s Finite Difference Conservation Laws II. Transactions of Mathematics and its applications, . E-ISSN 2398-4945. (doi:10.1093/imatrm/tnz005) (KAR id:74250)
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Official URL https://doi.org/10.1093/imatrm/tnz005 |
Abstract
In this second part of the paper, we consider finite difference Lagrangians which are invariant under linear and projective actions of SL(2), and the linear equi-affine action which preserves area in the plane.
Effectively, for all three actions, we show that solutions to the Euler–Lagrange equations, in terms of the original dependent variables, share a common structure for the whole set of Lagrangians invariant under each given group action, once the invariants are known as functions on the lattice.
Item Type: | Article |
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DOI/Identification number: | 10.1093/imatrm/tnz005 |
Uncontrolled keywords: | Noether’s Theorem, Finite Difference, Discrete Moving Frames |
Subjects: | Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Elizabeth Mansfield |
Date Deposited: | 04 Jun 2019 13:55 UTC |
Last Modified: | 16 Feb 2021 14:05 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/74250 (The current URI for this page, for reference purposes) |
Mansfield, Elizabeth L.: | ![]() |
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