noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices

	noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices
	Fu JingLi 1; Nie NingMing 2; Huang JianFei 3; Jimnez Salvador 4; Tang YiFa2 ; Vzquez Luis 5; Zhao WeiJia 3
	2009
发表期刊	chinesephysicsb
ISSN	1674-1056
卷号	18 期号:7 页码:2634
摘要	This paper presents a method to find Noether-type conserved quantities and Lie point symmetries for discrete mechanico-electrical dynamical systems, which leave invariant the set of solutions of the corresponding difference scheme. This approach makes it possible to devise techniques for solving the Lagrange-Maxwell equations in differences which correspond to mehanico-electrical systems, by adapting existing differential equations. In particular, it obtains a new systematic method to determine both the one-parameter Lie groups and the discrete Noether conserved quantities of Lie point symmetries for mechanico-electrical systems. As an application, it obtains the Lie point symmetries and the conserved quantities for the difference equation of a model that represents a capacitor microphone.
语种	英语
资助项目	[National Natural Science Foundation of China] ; [State Key laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences] ; [Spanish Ministry of Education and Science]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/43286
专题	计算数学与科学工程计算研究所
作者单位	1.浙江理工大学 2.中国科学院数学与系统科学研究院 3.青岛大学 4.西班牙马德里理工大学 5.西班牙马德里孔普卢顿大学
推荐引用方式 GB/T 7714	Fu JingLi,Nie NingMing,Huang JianFei,et al. noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices[J]. chinesephysicsb,2009,18(7):2634.
APA	Fu JingLi.,Nie NingMing.,Huang JianFei.,Jimnez Salvador.,Tang YiFa.,...&Zhao WeiJia.(2009).noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices.chinesephysicsb,18(7),2634.
MLA	Fu JingLi,et al."noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices".chinesephysicsb 18.7(2009):2634.