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Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 248-267
作者:  Fang, Zhiwei;  Li, Jichun;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载:160/0  |  提交时间:2020/01/10
Maxwell's equations  Finite element method  Random inputs  Polynomial chaos methods  Stochastic Galerkin  
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1409-1432
作者:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:165/0  |  提交时间:2020/01/10
Deferred correction method  Second-order forward backward stochastic differential equations  Euler scheme  High-order rate of convergence  
ON ENERGY DISSIPATION THEORY AND NUMERICAL STABILITY FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 6, 页码: A3757-A3778
作者:  Tang, Tao;  Yu, Haijun;  Zhou, Tao
收藏  |  浏览/下载:141/0  |  提交时间:2020/09/23
time-fractional phase-field equations  Allen-Cahn equation  Cahn-Hilliard equation  MBE model  energy dissipation law  maximum principle  
Parareal algorithms with local time-integrators for time-fractional differential equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 358, 页码: 135-149
作者:  Wu, Shu-Lin;  Zhou, Tao
收藏  |  浏览/下载:148/0  |  提交时间:2018/07/30
Parareal  Time-fractional differential equations  Local time-integrators  
EFFICIENT SPECTRAL SPARSE GRID APPROXIMATIONS FOR SOLVING MULTI-DIMENSIONAL FORWARD BACKWARD SDES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 9, 页码: 3439-3458
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
Spectral method  sparse grid approximations  forward backward stochastic differential equations  conditional expectations  fast Fourier transform  
AN EFFICIENT GRADIENT PROJECTION METHOD FOR STOCHASTIC OPTIMAL CONTROL PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 2982-3005
作者:  Gong, Bo;  Liu, Wenbin;  Tang, Tao;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:142/0  |  提交时间:2018/07/30
stochastic optimal control  gradient projection methods  backward stochastic differential equations  conditional expectations  
Partially linear transformation models with varying coefficients for multivariate failure time data 期刊论文
JOURNAL OF MULTIVARIATE ANALYSIS, 2015, 卷号: 142, 页码: 144-166
作者:  Qiu, Zhiping;  Zhou, Yong
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Transformation model  Multivariate failure time  Estimating equations  Local polynomials  Varying-coefficients  Delete-a-group jackknife  
G-expectation weighted Sobolev spaces, backward SDE and path dependent PDE 期刊论文
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2015, 卷号: 67, 期号: 4, 页码: 1725-1757
作者:  Peng, Shige;  Song, Yongsheng
收藏  |  浏览/下载:152/0  |  提交时间:2018/07/30
backward SDEs  partial differential equations  path dependent PDEs  G-expectation  G-martingale  Sobolev space  G-Sobolev space  
Efficient Quantile Regression Analysis With Missing Observations 期刊论文
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2015, 卷号: 110, 期号: 510, 页码: 723-741
作者:  Chen, Xuerong;  Wan, Alan T. K.;  Zhou, Yong
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
Estimating equations  Missing at random  Resampling method  Semiparametric efficient