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

页码：480 / 504

页数：25

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