Volume 10, Issue Supplement 2, December 2003, Pages 41 - 56
Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations
Vladimir DORODNITSYN, Roman KOZLOV, Pavel WINTERNITZ
Available Online 1 December 2003.
- https://doi.org/10.2991/jnmp.2003.10.s2.4How to use a DOI?
- 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.
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Cite this article
TY - JOUR AU - Vladimir DORODNITSYN AU - Roman KOZLOV AU - Pavel WINTERNITZ PY - 2003 DA - 2003/12 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 - https://doi.org/10.2991/jnmp.2003.10.s2.4 ID - DORODNITSYN2003 ER -