云南高校图书馆联盟文献共享服务平台- MULTI-SYMPLECTIC

MULTI-SYMPLECTIC: 作品数：39被引量：46H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：吴俊更多>>; 相关机构：南京大学更多>>; 相关期刊：《Acta Mechanica Solida Sinica》《Science China(Physics,Mechanics & Astronomy)》《Communications in Mathematical Research》《Communications on Applied Mathematics and Computation》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金江苏省“青蓝工程”基金更多>>

LOCAL STRUCTURE-PRESERVING ALGORITHMS FOR THE KLEIN-GORDON-ZAKHAROV EQUATION被引量：1: 《Acta Mathematica Scientia》2023年第3期1211-1238,共28页汪佳玲周政婷王雨顺; supported by the National Natural Science Foundation of China(11801277,11771213,12171245)。; In this paper, using the concatenating method, a series of local structure-preserving algorithms are obtained for the Klein-Gordon-Zakharov equation, including four multisymplectic algorithms, four local energy-preser...; 关键词：Klein-Gordon-Zakharov(KGZ)equation local preservation law local momentum-preserving algorithms multi-symplectic algorithms local energy-preserving algorithms

Coupling Vibration of Simply-Supported Damping Beam Carrying a Moving Mass: 《Acta Mechanica Solida Sinica》2022年第6期972-978,共7页Jingjing Hu Weipeng Hu Chuan Xiao Zichen Deng; supported by the National Natural Science Foundation of China (12172281,11872303 and 11972284);Fund for Distinguished Young Scholars of Shaanxi Province (2019JC-29);Foundation Strengthening Programme Technical Area Fund (2021-JCJQ-JJ-0565);the Fund of the Science and Technology Innovation Team of Shaanxi (2022TD-61);the Fund of the Youth Innovation Team of Shaanxi Universities (21JP079).; The coupling dynamic problems,such as the vehicle-bridge interaction problem,are difficult to be analyzed.In this paper,the generalized multi-symplectic approach is employed to investigate the coupling dynamic behavio...; 关键词：Vehicle-bridge interaction Dynamical symmetry breaking Generalized multi-symplectic HAMILTONIAN Moving mass

Dispersion Analysis of Multi-symplectic Scheme for the Nonlinear Schrodinger Equations: 《Acta Mathematicae Applicatae Sinica》2020年第2期503-515,共13页Hao-chen LI Jian-qiang SUN Hang YE Xue-jun HE; supported by the National Natural Science Foundation of China(Nos.11961020,1156101&41974114).; In this paper,we study the dispersive properties of multi-symplectic discretizations for the nonlinear Schrodinger equations.The numerical dispersion relation and group velocity are investigated.It is found that the n...; 关键词：the nonlinear SCHRODINGER EQUATION MULTI-SYMPLECTIC scheme DISPERSION analysis GROUP VELOCITY

Minimum Control Energy of Spatial Beam with Assumed Attitude Adjustment Target被引量：7: 《Acta Mechanica Solida Sinica》2020年第1期51-60,共10页Weipeng Hu Lingjun Yu Zichen Deng; The research is supported by the National Natural Science Foundation of China(11672241,11972284,11432010);Fund for Distinguished Young Scholars of Shaanxi Province(2019JC-29);Fund of the Youth Innovation Team of Shaanxi Universities,the Seed Foundation of Qian Xuesen Laboratory of Space Technology,and the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment(GZ1605).; The dynamic analysis on the ultra-large spatial structure can be simplified drastically by ignoring the flexibility and damping of the structure.However,these simplifications will result in the erroneous estimate on t...; 关键词：Spatial beam Structure-preserving method Generalized multi-symplectic Minimum control energy HAMILTONIAN

A Review on Stochastic Multi-symplectic Methods for Stochastic Maxwell Equations: 《Communications on Applied Mathematics and Computation》2019年第3期467-501,共35页Liying Zhang Chuchu Chen Jialin Hong Lihai Ji; Stochastic multi-symplectic methods are a class of numerical methods preserving the discrete stochastic multi-symplectic conservation law. These methods have the remarkable superiority to conventional numerical method...; 关键词：STOCHASTIC MULTI-SYMPLECTIC METHODS STOCHASTIC HAMILTONIAN partial differential EQUATIONS STOCHASTIC Maxwell EQUATIONS Structure-preserving METHODS

Second order conformal multi-symplectic method for the damped Korteweg–de Vries equation: 《Chinese Physics B》2019年第5期20-26,共7页Feng Guo; Project supported by the Program for Innovative Research Team in Science and Technology in Fujian Province University,China,the Quanzhou High Level Talents Support Plan,China(Grant No.2017ZT012);the Promotion Program for Young and Middle-Aged Teacher in Science and Technology Research of Huaqiao University,China(Grant No.ZQN-YX502); A conformal multi-symplectic method has been proposed for the damped Korteweg–de Vries(DKdV) equation, which is based on the conformal multi-symplectic structure. By using the Strang-splitting method and the Preissma...; 关键词：CONFORMAL MULTI-SYMPLECTIC METHOD DAMPED Korteweg–de Vries (KdV) equation DISSIPATION preservation

Structure-preserving approach for infinite dimensional nonconservative system: 《Theoretical & Applied Mechanics Letters》2018年第6期404-407,I0005,共5页Weipeng Hu; supported by the National Natural Science Foundation of China (Grant 11672241);the Seed Foundation of Qian Xuesen Laboratory of Space Technology;the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment (Grant GZ1605); The current structure-preserving theory, including the symplectic method and the multisymplectic method, pays most attention on the conservative properties of the continuous systems because that the conservative prope...; 关键词：Structure-preserving approach Generalized multi-symplectic HAMILTONIAN Nonconservative system Non-smooth model

Explicit Multi-symplectic Method for a High Order Wave Equation of KdV Type: 《Communications in Mathematical Research》2018年第3期193-204,共12页WANG JUN-JIE WANG XIU-YING; The Innovation Team(CXTD003)of Pu’er University; In this paper, we consider multi-symplectic Fourier pseudospectral method for a high order integrable equation of KdV type, which describes many important physical phenomena. The multi-symplectic structure are constru...; 关键词：the high order wave equation of KdV type multi-symplectic theory Hamilton space Fourier pseudospectral method local conservation law

Local structure-preserving methods for the generalized Rosenau-RLW-KdV equation with power law nonlinearity被引量：4: 《Chinese Physics B》2017年第10期7-11,共5页蔡加祥洪旗杨斌; supported by the National Natural Science Foundation of China(Grant Nos.11201169 and 61672013);the Foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems(Grant No.201606); Local structure-preserving algorithms including multi-symplectic, local energy- and momentum-preserving schemes are proposed for the generalized Rosenau-RLW-KdV equation based on the multi-symplectic Hamiltonian formu...; 关键词：Rosenau-type equation multi-symplectic conservation law energy conservation law structure- preserving algorithm

A Multi-Symplectic Compact Method for the Two-Component Camassa-Holm Equation with Singular Solutions: 《Chinese Physics Letters》2017年第9期8-12,共5页Xiang Li Xu Qian Bo-Ya Zhang Song-He Song; Supported by the National Natural Science Foundation of China under Grant Nos 11571366 and 11501570;the Open Foundation of State Key Laboratory of High Performance Computing of China;the Research Fund of the National University of Defense Technology under Grant No JC15-02-02;the Fund from HPCL; The two-component Camassa–Holm equation includes many intriguing phenomena. We propose a multi-symplectic compact method to solve the two-component Camassa–Holm equation. Based on its multi-symplectic formulation, t...; 关键词：A Multi-Symplectic Compact Method for the Two-Component Camassa-Holm Equation with Singular Solutions

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