Symmetry Preserving Discretization of SL(2,R) Invariant Equations

被引：17

作者：

Bourlioux, Anne ^{[1
]}

Rebelo, Raphael ^{[2
,3
]}

Winternitz, Pavel ^{[1
,2
]}

机构：

[1] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada

[2] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

[3] Univ Montreal, Dept Phys, Montreal, PQ H3C 3J7, Canada

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2008年 / 15卷 / Suppl 3期

关键词：

D O I：

10.2991/jnmp.2008.15.s3.35

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonlinear ODEs invariant under the group SL(2,R) are solved numerically. We show that solution methods incorporating the Lie point symmetries provide better results than standard methods.

引用

页码：362 / 372

页数：11

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