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Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
作者:  Guo, Ling;  Wu, Hao;  Yu, Xiaochen;  Zhou, Tao
收藏  |  浏览/下载：51/0  |  提交时间：2023/02/07
Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  
DRVN (deep random vortex network): A new physics-informed machine learning method for simulating and inferring incompressible fluid flows 期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 10, 页码: 21
作者:  Zhang, Rui;  Hu, Peiyan;  Meng, Qi;  Wang, Yue;  Zhu, Rongchan;  Chen, Bingguang;  Ma, Zhi-Ming;  Liu, Tie-Yan
收藏  |  浏览/下载：63/0  |  提交时间：2023/02/07
Sample average approximation of CVaR-based hedging problem with a deep-learning solution 期刊论文
NORTH AMERICAN JOURNAL OF ECONOMICS AND FINANCE, 2021, 卷号: 56, 页码: 14
作者:  Peng, Cheng;  Li, Shuang;  Zhao, Yanlong;  Bao, Ying
收藏  |  浏览/下载：137/0  |  提交时间：2021/04/26
Conditional Value-at-Risk  Hedging strategies  Deep learning  Theoretical guarantee  Sample average approximation  Uniform convergence  
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
作者:  Li, Bo;  Tang, Shanshan;  Yu, Haijun
收藏  |  浏览/下载：127/0  |  提交时间：2020/05/24
Deep neural network  high dimensional approximation  sparse grids  rectified linear unit  rectified power unit  rectified quadratic unit  
NONLINEAR STABILITY AND EXISTENCE OF VORTEX SHEETS FOR INVISCID LIQUID-GAS TWO-PHASE FLOW 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 卷号: 39, 期号: 6, 页码: 3535-3575
作者:  Huang, Feimin;  Wang, Dehua;  Yuan, Difan
收藏  |  浏览/下载：148/0  |  提交时间：2019/12/13
Inviscid liquid-gas two-phase flow  vortex sheets  Nash-Moser scheme  loss of derivatives  nonlinear stability  
Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2019, 卷号: 232, 期号: 2, 页码: 591-695
作者:  Chen, Gui-Qiang G.;  Secchi, Paolo;  Wang, Tao
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10