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DYNAMIC EVALUATION OF EXPONENTIAL POLYNOMIAL CURVES AND SURFACES VIA BASIS TRANSFORMATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 5, 页码: A3401-A3420
作者:  Yang, Xunnian;  Hong, Jialin
收藏  |  浏览/下载：127/0  |  提交时间：2020/05/24
curves and surfaces  linear differential operator  exponential polynomial  dynamic evaluation  basis transformation  
PARAREAL EXPONENTIAL theta-SCHEME FOR LONGTIME SIMULATION OF STOCHASTIC SCHRODINGER EQUATIONS WITH WEAK DAMPING 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 6, 页码: B1155-B1177
作者:  Hong, Jialin;  Wang, Xu;  Zhang, Liying
收藏  |  浏览/下载：129/0  |  提交时间：2020/09/23
stochastic Schrodinger equation  parareal algorithm  exponential theta-scheme  invariant measure  
DYNAMIC EVALUATION OF FREE-FORM CURVES AND SURFACES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 2, 页码: B424-B441
作者:  Yang, Xunnian;  Hong, Jialin
收藏  |  浏览/下载：135/0  |  提交时间：2018/07/30
free-form curves and surfaces  linear differential systems  evaluation  dynamic generation  
CONSERVATIVE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 3, 页码: 435-456
作者:  Chen, Chuchu;  Cohen, David;  Hong, Jialin
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Stochastic differential equations  invariants  conservative methods  stochastic geometric numerical integration  quadrature formula  splitting technique  mean-square convergence order  weak convergence order  
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
作者:  Kong, Linghua;  Hong, Jialin;  Ji, Lihai;  Zhu, Pengfei
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
conservation law  computational efficiency  coupled nonlinear Schrodinger equation  highorder compact method  
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：94/0  |  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：96/0  |  提交时间：2018/07/30
High-order compact  Coupled nonlinear Schrodinger equation  Splitting multisymplectic integrator  Conservation law  
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：116/0  |  提交时间：2018/07/30
Maxwell's equation  Local one-dimensional method  Multisymplectic integrator  Runge-Kutta method  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：108/0  |  提交时间：2018/07/30
Schrodinger equation  Symplectic scheme  Conservation law  Trapped term  
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：106/0  |  提交时间：2018/07/30
Hamilton's principle  stochastic Hamiltonian systems  symplectic methods  variational integrators