Lie group classification of second-order ordinary difference equations

被引：87
作者：
Dorodnitsyn, V
Kozlov, R
Winternitz, P
机构：
[1] Russian Acad Sci, MV Keldysh Appl Math Inst, Moscow 125047, Russia
[2] NTNU, Dept Math Sci, N-7491 Trondheim, Norway
[3] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 01期
关键词：
D O I：
10.1063/1.533142
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A group classification of invariant difference models, i.e., difference equations and meshes, is presented. In the continuous limit the results go over into Lie's classification of second-order ordinary differential equations. The discrete model is a three point one and we show that it can be invariant under Lie groups of dimension 0 less than or equal to n less than or equal to 6. (C) 2000 American Institute of Physics. [S0022-2488(00)02601-3].
引用
收藏
页码：480 / 504
页数：25
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