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Moving Frames and Noether’s Finite Difference Conservation Laws II

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)

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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
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: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Elizabeth Mansfield
Date Deposited: 04 Jun 2019 13:55 UTC
Last Modified: 09 Oct 2019 15:11 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/74250 (The current URI for this page, for reference purposes)
Mansfield, Elizabeth L.: https://orcid.org/0000-0002-6778-2241
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