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A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 卷号: 356, 页码: 435-464
Authors:  Yang, Jinjin;  Mao, Shipeng;  He, Xiaoming;  Yang, Xiaofeng;  He, Yinnian
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Two-phase MHD flows  Diffuse interface models  Finite element method  Energy stability  Semi-implicit scheme  
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
Authors:  Hong, Jialin;  Ji, Lihai;  Liu, Zhihui
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Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
An energy-conserving method for stochastic Maxwell equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 351, 页码: 216-229
Authors:  Hong, Jialin;  Ji, Lihai;  Zhang, Liying;  Cai, Jiaxiang
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Energy-conserving method  Three-dimensional stochastic Maxwell equations  Multiplicative noise  Geometric structure  
Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 31, 期号: 6, 页码: 1814-1843
Authors:  Kong, Linghua;  Hong, Jialin;  Ji, Lihai;  Zhu, Pengfei
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conservation law  computational efficiency  coupled nonlinear Schrodinger equation  highorder compact method  
Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations 期刊论文
NUMERISCHE MATHEMATIK, 2009, 卷号: 112, 期号: 1, 页码: 1-23
Authors:  Hong, Jialin;  Jiang, Shanshan;  Li, Chun
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On multisymplectic integrators based on Runge-Kutta-Nystrom methods for Hamiltonian wave equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 182, 期号: 2, 页码: 1056-1063
Authors:  Li, Qinghong;  Sun, Yajuan;  Wang, Yushun
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Hamiltonian wave equations  multisymplectic integrators  symplectic Runge-Kutta-Nystrom methods  energy and momentum conservation laws  
Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems 期刊论文
PHYSICS LETTERS A, 2006, 卷号: 358, 期号: 1, 页码: 5-10
Authors:  Fu, Jing-Li;  Chen, Li-Qun;  Jimenez, Salvador;  Tang, Yi-Fa
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mechanico-electrical system  non-Noether symmetry  Lutzky conserved quantity  
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrodinger equations with variable coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 6, 页码: 814-843
Authors:  Hong, JL;  Liu, Y;  Munthe-Kaas, H;  Zanna, A
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Schrodinger equations  conservation laws  error estimation  global energy transit  multi-symplectic integrators  
Multi-symplectic Runge-Kutta methods for nonlinear dirac equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 卷号: 211, 期号: 2, 页码: 448-472
Authors:  Hong, JL;  Li, C
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multi-symplectic Runge-Kutta methods  conservation laws  nonlinear dirac equations  
Heisenberg group and energy-momentum conservative law in de-Sitter spaces 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 44, 期号: 3, 页码: 389-392
Authors:  Lu, QK
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energy-momentum conservation  Heisenberg grup  de-Sitter space