noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices
文献类型:期刊论文
| 作者 | Fu JingLi1; Nie NingMing5; Huang JianFei4; Jimnez Salvador3; Tang YiFa5 ; Vzquez Luis2; Zhao WeiJia4
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| 刊名 | chinesephysicsb
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| 出版日期 | 2009 |
| 卷号 | 18期号:7页码:2634 |
| ISSN号 | 1674-1056 |
| 英文摘要 | 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. |
| 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] |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/43285] ![]() |
| 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.西班牙马德里孔普卢顿大学 3.西班牙马德里理工大学 4.青岛大学 5.中国科学院数学与系统科学研究院 |
| 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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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