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MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 2, 页码: A1091-A1120
作者:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10
Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR THE MAXWELL-SCHRODINGER SYSTEM IN THE COULOMB GAUGE 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 1, 页码: 139-166
作者:  Ma, Chupeng;  Cao, Liqun;  Huang, Jizu
收藏  |  浏览/下载：156/0  |  提交时间：2019/04/02
Maxwell-Schrodinger  finite element method  energy conserving  error estimates  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
SYMPLECTIC RUNGE-KUTTA SEMIDISCRETIZATION FOR STOCHASTIC SCHRODINGER EQUATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 4, 页码: 2569-2593
作者:  Chen, Chuchu;  Hong, Jialin
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
stochastic Schrodinger equation  infinite-dimensional stochastic Hamiltonian system  symplectic structure  symplectic Runge-Kutta method  semidiscretization  mean-square convergence order  
Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method 期刊论文
NUMERICAL ALGORITHMS, 2015, 卷号: 69, 期号: 4, 页码: 839-862
作者:  Zhang, Y.;  Hu, X. B.;  Tam, H. W.
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
NLS equation  Integrable discretization  Infinite conservation quantities  Fourier pseudo-spectral method  
Multi-symplectic wavelet collocation method for the nonlinear Schrodinger equation and the Camassa-Holm equation 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2011, 卷号: 182, 期号: 3, 页码: 616-627
作者:  Zhu, Huajun;  Song, Songhe;  Tang, Yifa
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
Multi-symplectic  Wavelet collocation method  Nonlinear Schrodinger equation  Camassa-Holm equation  
High-order compact splitting multisymplectic method for the coupled nonlinear Schrodinger equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 卷号: 61, 期号: 2, 页码: 319-333
作者:  Ma, Yuanping;  Kong, Linghua;  Hong, Jialin;  Cao, Ying
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
High-order compact  Coupled nonlinear Schrodinger equation  Splitting multisymplectic integrator  Conservation law  
Symplectic integrator for nonlinear high order Schrodinger equation with a trapped term 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 231, 期号: 2, 页码: 664-679
作者:  Kong, Linghua;  Hong, Jialin;  Wang, Lan;  Fu, Fangfang
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Schrodinger equation  Symplectic scheme  Conservation law  Trapped term  
Explicit Symplectic Methods for the Nonlinear Schrodinger Equation 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 卷号: 6, 期号: 3, 页码: 639-654
作者:  Guan, Hua;  Jiao, Yandong;  Liu, Ju;  Tang, Yifa
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Explicit symplectic method  L-L-N splitting  nonlinear Schrodinger equation  
Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 卷号: 41, 期号: 25, 页码: 19
作者:  Kong, Linghua;  Hong, Jialin;  Liu, Ruxun
收藏  |  浏览/下载：68/0  |  提交时间：2018/07/30