Journal of Nonlinear Mathematical Physics

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Volume 10, Issue Supplement 2, December 2003, Pages 41 - 56

Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations

Authors
Vladimir Dorodnitsyn, Roman Kozlov, Pavel Winternitz
Corresponding Author
Vladimir Dorodnitsyn
Available Online 1 December 2003.
DOI
10.2991/jnmp.2003.10.s2.4How to use a DOI?
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
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - Supplement 2
Pages
41 - 56
Publication Date
2003/12/01
ISBN
91-974824-0-4
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.s2.4How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Vladimir Dorodnitsyn
AU  - Roman Kozlov
AU  - Pavel Winternitz
PY  - 2003
DA  - 2003/12/01
TI  - Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 41
EP  - 56
VL  - 10
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s2.4
DO  - 10.2991/jnmp.2003.10.s2.4
ID  - Dorodnitsyn2003
ER  -