%0 Journal Article
%T The Lie point symmetry-preserving difference scheme of holonomic constrained mechanical systems<br>完整约束力学系统保Lie对称性差分格式
%A 张宏彬
%A 吕洪升
%A 顾书龙
%J 物理学报
%D 2010
%I 
%X In this paper a Lie point symmetry- preserving difference schemes approximating holonomic constrained mechanical systems is presented. The procedure is as follows: Firstly we find the Lie point symmetry groups of the original equation, and prolong them to three points of the lattice. Secondly the discrete invariants are obtained by solving discrete characteristic equations, then the invariant difference scheme is constructed by using these discrete invariants; and this invariants difference scheme will give the original equation under the continuous limit. Finally an example is presented to illustrate the applications of the result.
%K holonomic constrained mechanical systems
%K Lie point symmetry- preserving
%K difference scheme<br>完整约束力学系统
%K 保Lie点对称性
%K 差分格式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=3650D29B1DBE40CC6A808C410CAC2B25&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=5D311CA918CA9A03&sid=BEF31111D4AF327A&eid=B6E98D07D29643A0&journal_id=1000-3290&journal_name=物理学报&referenced_num=4&reference_num=38