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INN: Interfaced neural networks as an accessible meshless approach for solving interface PDE problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 470, 页码: 18
Authors:  Wu, Sidi;  Lu, Benzhuo
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Interface problems  Multiple-gradient descent  Neural network  PDEs  
From stabilizer states to SIC-POVM fiducial states 期刊论文
THEORETICAL AND MATHEMATICAL PHYSICS, 2022, 卷号: 213, 期号: 3, 页码: 1747-1761
Authors:  Feng, Lingxuan;  Luo, Shunlong
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stabilizer states  SIC-POVMs  fiducial states  p-norms  Zauner's conjecture  
Expansions for distributional solutions of the elliptic equation in two dimensions 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 卷号: 24, 期号: 07, 页码: 27
Authors:  Li, Jiayu;  Wan, Fangshu;  Yang, Yunyan
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Asymptotic expansion  Liouville equation  singular solution  
Large N Limit of the O(N) Linear Sigma Model in 3D 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 57
Authors:  Shen, Hao;  Zhu, Rongchan;  Zhu, Xiangchan
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Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 455, 页码: 29
Authors:  Leng, Wei;  Ju, Lili
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Domain decomposition method  Diagonal sweeping  Helmholtz equation  Perfectly matched layer  Trace transfer  Parallel computing  
An efficient neural network method with plane wave activation functions for solving Helmholtz equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 卷号: 111, 页码: 34-49
Authors:  Cui, Tao;  Wang, Ziming;  Xiang, Xueshuang
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Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces 期刊论文
JOURNAL OF FLUID MECHANICS, 2022, 卷号: 935, 页码: 40
Authors:  Zhang, Zhen;  Xu, Xianmin
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contact lines  wetting and wicking  
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
Authors:  Hou, Baohui;  Liang, Dong
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AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
Testing High-Dimensional Nonparametric Behrens-Fisher Problem 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 18
Authors:  Meng, Zhen;  Li, Na;  Yuan, Ao
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Cauchy combination test  nonparametric Behrens-Fisher problem  rank-based test  U-statistic  
Imaging of buried obstacles in a two-layered medium with phaseless far-field data 期刊论文
INVERSE PROBLEMS, 2021, 卷号: 37, 期号: 5, 页码: 26
Authors:  Li, Long;  Yang, Jiansheng;  Zhang, Bo;  Zhang, Haiwen
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two-layered medium  buried obstacle  phaseless far-field data  direct imaging method  recursive Newton-type iteration algorithm