title: |
Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations |
|
publication: |
||
| volume-issue: | 10 - Supplement 2 | |
| pages: | 41 - 56 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2003.10.s2.4 (how to use a DOI) | |
author(s): |
Vladimir DORODNITSYN, Roman KOZLOV, Pavel WINTERNITZ |
|
publication date: |
December 2003 |
|
abstract: |
An integration technique for difference schemes possessing Lie point symmetries is
proposed. The method consists of determining an invariant Lagrangian and using
a discrete version of Noether's theorem to obtain first integrals. This lowers the
order of the invariant difference scheme. |
|
copyright: |
©
Atlantis Press. This is an open-access article distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
|
full text: |