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

页码：41 / 56

页数：16

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