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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：103/0  |  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：97/0  |  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：82/0  |  提交时间：2018/07/30
stochastic differential equation in the Stratonovich sense  conserved quantity  discrete gradient  splitting technique  mean-square convergence  
Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems 期刊论文
NUMERISCHE MATHEMATIK, 2010, 卷号: 116, 期号: 3, 页码: 383-419
作者:  Chen, Huangxin;  Xu, Xuejun;  Hoppe, Ronald H. W.
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Splitting multisymplectic integrators for Maxwell's equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 11, 页码: 4259-4278
作者:  Kong, Linghua;  Hong, Jialin;  Zhang, Jingjing
收藏  |  浏览/下载：124/0  |  提交时间：2018/07/30
Maxwell's equation  Local one-dimensional method  Multisymplectic integrator  Runge-Kutta method  Conservation law  
SPECTRAL ANALYSIS OF DIRICHLET-NEUMANN OPERATORS AND OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4540-4568
作者:  Xu, Xuejun;  Qin, Lizhen
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
finite elements  optimized Schwarz methods with Robin transmission conditions  nonoverlapping domain decomposition  convergence rate  Dirichlet-Neumann operators  
LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4492-4516
作者:  Chen, Huangxin;  Xu, Xuejun
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
multilevel methods  local smoothers  adaptive finite element methods  nonsymmetric and indefinite  optimality  
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：113/0  |  提交时间：2018/07/30
Schrodinger equation  Symplectic scheme  Conservation law  Trapped term  
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
作者:  Hong, Jialin;  Jiang, Shanshan;  Li, Chun
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30