Symmetry methods for difference equations on non-rectangular lattices.
Lead Research Organisation:
University of Kent
Department Name: Sch of Maths Statistics & Actuarial Sci
Abstract
The development of symmetry methods for general difference equations is still in its infancy. Although a substantial amount is known about difference equations on rectangular lattices, relatively little has been proved in the case where the underlying lattice is not rectangular (for instance, where using a moving frame creates holes in the lattice of difference invariants). The purpose of this project is to begin to address this problem, using recently-discovered results on moving frames and lattice varieties. The project will begin by generalising the difference moving frame construction to multiple independent variables, which should yield the first group-invariant Noether-type theorems for partial difference equations. Likely future directions include exploiting solvability in the moving frame construction and creating global difference structures on lattice varieties
Organisations
People |
ORCID iD |
Peter E Hydon (Primary Supervisor) | |
Lewis White (Student) |
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
EP/R513246/1 | 01/10/2018 | 30/09/2023 | |||
2289907 | Studentship | EP/R513246/1 | 01/10/2019 | 31/03/2023 | Lewis White |
EP/T518141/1 | 01/10/2020 | 30/09/2025 | |||
2289907 | Studentship | EP/T518141/1 | 01/10/2019 | 31/03/2023 | Lewis White |