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Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
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High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
A Note on the Convergence of Distributed RLS 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 12, 页码: 6762-6769
Authors:  Liu, Zhaobo;  Li, Chanying
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Distributed estimation  mean square convergence  noises  recursive least squares  strong consistency  
A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
Authors:  Ma, Chuwen;  Zheng, Weiying
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Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
Regularization by transport noises for 3D MHD equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2022, 页码: 20
Authors:  Luo, Dejun
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magnetohydrodynamical equation  vorticity  well-posedness  regularization by noises  transport noise  
Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 12, 期号: 4, 页码: 891-911
Authors:  Zhang, Wensheng;  Joardar, Atish Kumar
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Stability  poroelastic wave equation  energy method  high-order scheme  wave simulation  
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
Authors:  Guo, Ling;  Wu, Hao;  Yu, Xiaochen;  Zhou, Tao
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Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  
A Scalable Frequentist Model Averaging Method 期刊论文
JOURNAL OF BUSINESS & ECONOMIC STATISTICS, 2022, 页码: 10
Authors:  Zhu, Rong;  Wang, Haiying;  Zhang, Xinyu;  Liang, Hua
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Asymptotic optimality  High-dimensional data  Jackknife criterion  Mallows criterion  Singular value decomposition  
Stochastic higher-order three-scale strength prediction model for composite structures with micromechanical analysis 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 465, 页码: 30
Authors:  Dong, Hao;  Yang, Zihao;  Guan, Xiaofei;  Cui, Junzhi
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Composite structures  Multiscale random configurations  SHTSP model  Multilevel strategy  Strength prediction  
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
Authors:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
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Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 458, 页码: 24
Authors:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
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Three-dimensional drift -diffusion model  Averaging technique  Finite element method  Semiconductor device