Symmetries, Lagrangian formalism and integration of second order ordinary difference equations

被引：3
作者：
Dorodnitsyn, V
Kozlov, R
Winternitz, P
机构：
[1] Russian Acad Sci, MV Keldysh Appl Math Inst, Moscow 125047, Russia
[2] Univ Oslo, Dept Informat, N-0371 Oslo, Norway
[3] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2003年 / 10卷 / Suppl 2期
关键词：
D O I：
10.2991/jnmp.2003.10.s2.4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：41 / 56
页数：16
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