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A multilevel correction method for Stokes eigenvalue problems and its applications 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 卷号: 38, 期号: 18, 页码: 4540-4552
作者:  Lin, Qun;  Luo, Fusheng;  Xie, Hehu
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Stokes eigenvalue problem  finite element method  multilevel correction  multigrid  adaptive technique  
Multi-symplectic preserving integrator for the Schrodinger equation with wave operator 期刊论文
APPLIED MATHEMATICAL MODELLING, 2015, 卷号: 39, 期号: 22, 页码: 6817-6829
作者:  Wang, Lan;  Kong, Linghua;  Zhang, Liying;  Zhou, Wenying;  Zheng, Xiaohong
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Schrodinger equation with wave operator  Multi-symplectic integrator  Conservation laws  
Fourth-Order Compact Difference Schemes for 1D Nonlinear Kuramoto-Tsuzuki Equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 31, 期号: 6, 页码: 2080-2109
作者:  Hu, Xiuling;  Chen, Shanzhen;  Chang, Qianshun
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
compact difference scheme  convergence  Kuramoto-Tsuzuki equation  Neumann boundary conditions  priori estimates  
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：92/0  |  提交时间：2018/07/30
conservation law  computational efficiency  coupled nonlinear Schrodinger equation  highorder compact method  
A framework of constraint preserving update schemes for optimization on Stiefel manifold 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 153, 期号: 2, 页码: 535-575
作者:  Jiang, Bo;  Dai, Yu-Hong
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Stiefel manifold  Orthogonality constraint  Sphere constraint  Range space  Null space  Barzilai-Borwein-like method  Feasible  Adaptive nonmonotone line search  Low-rank correlation matrix  Kohn-Sham total energy minimization  Heterogeneous quadratic functions  
Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 卷号: 18, 期号: 5, 页码: 1482-1503
作者:  Kong, Tao;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Fully nonlinear parabolic PDEs  second order FBSDEs  probabilistic interpretations  probabilistic numerical schemes  
A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 4, 页码: 297-313
作者:  Chen, Yanping;  Huang, Yunqing;  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Multiscale control problem  Mixed finite element  Homogenization  A prior error estimates