Extensions of Noether's Second Theorem: from continuous to discrete systems
From MaRDI portal
Publication:2889169
DOI10.1098/rspa.2011.0158zbMath1248.37058arXiv1103.3267OpenAlexW2150804440MaRDI QIDQ2889169
Elizabeth L. Mansfield, Peter E. Hydon
Publication date: 4 June 2012
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.3267
Hyperbolic conservation laws (35L65) Additive difference equations (39A10) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (8)
A lattice Maxwell system with discrete space-time symmetry and local energy-momentum conservation ⋮ On Noether's theorem for the Euler-Poincaré equation on the diffeomorphism group with advected quantities ⋮ Characteristics of conservation laws for difference equations ⋮ Non-standard magnetohydrodynamics equations and their implications in sunspots ⋮ The second Noether theorem on time scales ⋮ Variational discretizations of gauge field theories using group-equivariant interpolation ⋮ Invariant discretization of partial differential equations admitting infinite-dimensional symmetry groups ⋮ Second Noether’s theorem with time delay
Cites Work
- Which symmetry? Noether, Weyl, and conservation of electric charge
- Factorization-free decomposition algorithms in differential algebra
- A variational complex for difference equations
- Computation of densities and fluxes of nonlinear differential‐difference equations
- Discretizing the Maxwell-Klein-Gordon equation by the lattice gauge theory formalism
- Symmetry group analysis of the shallow water and semi-geostrophic equations
- Practical use of Hamilton's principle
- Do integrable mappings have the Painlevé property?
- Infinite symmetries and conservation laws
- Multisymplectic conservation laws for differential and differential-difference equations
- Noether-type theorems for difference equations
This page was built for publication: Extensions of Noether's Second Theorem: from continuous to discrete systems
