%0 Journal Article %T Application research of symplectic Runge-Kutta method of solving Lagrange-Maxwell equation
辛Runge-Kutta方法在求解Lagrange-Maxwell方程中的应用研究 %A Liu Shi-Xing %A Song Duan %A Jia Lin %A Liu Chang %A Guo Yong-Xin %A
刘世兴 %A 宋端 %A 贾林 %A 刘畅 %A 郭永新 %J 物理学报 %D 2013 %I %X In this paper, we show the numerical integration method of solving Lagrange-Maxwell equation by using the symplectic Runge-Kutta (R-K) method, and numerically study the motion of the plate in an RLC circuit spring coupled system and the current changes. Its result is consistent with that obtained by the traditional R-K method, which demonstrates symplectic integration algorithm is reasonable and effective in studying the electro-mechanical systems. And on this basis, the form invariance of Noether sense is studied by using the symplectic Runge-Kutta method. %K holonomic electro-mechanical system %K symplectic Runge-Kutta method %K Lagrange-Maxwell equation %K Noether conserved quantity
完整机电系统 %K 辛R-K方法 %K Lagrange-Maxwell方程 %K Noether守恒量 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=96293AEB9294B34DB8586DBA23A19510&yid=FF7AA908D58E97FA&iid=38B194292C032A66&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0