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Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 235, 期号: 17, 页码: 4937-4948
作者:  Kong, Linghua;  Hong, Jialin;  Fu, Fangfang;  Chen, Jing
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Gross-Pitaevskii equation  Symplectic integrator  Splitting symplectic integrator  Conservation laws  
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：103/0  |  提交时间：2018/07/30
High-order compact  Coupled nonlinear Schrodinger equation  Splitting multisymplectic integrator  Conservation law  
DISCRETE GRADIENT APPROACH TO STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 5, 页码: 2017-2038
作者:  Hong, Jialin;  Zhai, Shuxing;  Zhang, Jingjing
收藏  |  浏览/下载：86/0  |  提交时间：2018/07/30
stochastic differential equation in the Stratonovich sense  conserved quantity  discrete gradient  splitting technique  mean-square convergence  
Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 卷号: 7, 期号: 3, 页码: 613-630
作者:  Hong, Jialin;  Kong, Linghua
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Schrodinger equation with trapped term  multi-symplectic scheme  Fourier spectral method  conservation law  split-step method  
Ishimori-I equation with self-consistent sources 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2009, 卷号: 50, 期号: 5, 页码: 16
作者:  Hu, Juan;  Hu, Xing-Biao;  Tam, Hon-Wah
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
nonlinear systems  Schrodinger equation  solitons  
A q-difference version of the epsilon-algorithm 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 卷号: 42, 期号: 9, 页码: 9
作者:  He, Yi;  Hu, Xing-Biao;  Tam, Hon-Wah
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
DYNAMICS AND VARIATIONAL INTEGRATORS OF STOCHASTIC HAMILTONIAN SYSTEMS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 卷号: 6, 期号: 4, 页码: 586-602
作者:  Wang, Lijin;  Hong, Jialin;  Scherer, Rudolf;  Bai, Fengshan
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
Hamilton's principle  stochastic Hamiltonian systems  symplectic methods  variational integrators  
Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice 期刊论文
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 卷号: 15, 期号: 3, 页码: 233-252
作者:  Hu, Xing-Biao;  Yu, Guo-Fu
收藏  |  浏览/下载：163/0  |  提交时间：2018/07/30
integrable system  integrable discretization  Backlund transformation  Lax pair  
Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations 期刊论文
NUMERISCHE MATHEMATIK, 2008, 卷号: 110, 期号: 4, 页码: 491-519
作者:  Hong, Jialin;  Sun, Yajuan
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30