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OnsagerNet: Learning stable and interpretable dynamics using a generalized Onsager principle 期刊论文
PHYSICAL REVIEW FLUIDS, 2021, 卷号: 6, 期号: 11, 页码: 32
Authors:  Yu, Haijun;  Tian, Xinyuan;  Weinan, E.;  Li, Qianxiao
Favorite  |  View/Download:29/0  |  Submit date:2022/04/02
Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 24
Authors:  Jiang, Shan;  Yu, Haijun
Favorite  |  View/Download:25/0  |  Submit date:2022/04/02
Quasi-equilibrium approximation  Moment closure  Bingham distribution  Spectral methods  Piecewise polynomial approximation  
An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 26
Authors:  Wang, Lin;  Yu, Haijun
Favorite  |  View/Download:67/0  |  Submit date:2020/06/30
Cahn-Hilliard gradient flow  Unconditionally stable  Stabilized semi-implicit scheme  Diffusive Crank-Nicolson scheme  Error analysis  Adaptive time stepping  
Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 2, 页码: 379-411
Authors:  Li, Bo;  Tang, Shanshan;  Yu, Haijun
Favorite  |  View/Download:56/0  |  Submit date:2020/05/24
Deep neural network  high dimensional approximation  sparse grids  rectified linear unit  rectified power unit  rectified quadratic unit  
A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval 期刊论文
AUTOMATIKA, 2020, 卷号: 61, 期号: 3, 页码: 461-474
Authors:  Masoumnezhad, Mojtaba;  Saeedi, Mohammadhossein;  Yu, Haijun;  Nik, Hassan Saberi
Favorite  |  View/Download:62/0  |  Submit date:2020/11/18
Laguerre method  collocation method  optimal control problems  spectral homotopy analysis method (SHAM)  semi-infinite interval  
Applications of the Bounded Total Variation Denoising Method to Urban Traffic Analysis 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 3, 页码: 622-642
Authors:  Tang, Shanshan;  Yu, Haijun
Favorite  |  View/Download:82/0  |  Submit date:2020/01/10
Urban traffic prediction  bounded variation denoising  noise estimate  cluster analysis  
Quasi-Potential Calculation and Minimum Action Method for Limit Cycle 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2019, 卷号: 29, 期号: 3, 页码: 961-991
Authors:  Lin, Ling;  Yu, Haijun;  Zhou, Xiang
Favorite  |  View/Download:69/0  |  Submit date:2020/01/10
Rare event  Non-gradient system  Quasi-potential  Limit cycle  Minimum action method  
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
Authors:  Tang, Tao;  Yu, Haijun;  Zhou, Tao
Favorite  |  View/Download:49/0  |  Submit date:2020/09/23
time-fractional phase-field equations  Allen-Cahn equation  Cahn-Hilliard equation  MBE model  energy dissipation law  maximum principle  
NUMERICAL APPROXIMATION OF ELLIPTIC PROBLEMS WITH LOG-NORMAL RANDOM COEFFICIENTS 期刊论文
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2019, 卷号: 9, 期号: 2, 页码: 161-186
Authors:  Wan, Xiaoliang;  Yu, Haijun
Favorite  |  View/Download:50/0  |  Submit date:2020/01/10
Wiener chaos expansion  Wick product  stochastic elliptic PDE  uncertainty quantification  log-normal random coefficient  
ENERGY STABLE SECOND ORDER LINEAR SCHEMES FOR THE ALLEN-CAHN PHASE-FIELD EQUATION 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2019, 卷号: 17, 期号: 3, 页码: 609-635
Authors:  Wang, Lin;  Yu, Haijun
Favorite  |  View/Download:81/0  |  Submit date:2020/01/10
Allen-Cahn equation  energy stable  stabilized semi-implicit scheme  second order scheme  error estimate