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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
作者:  Cui, Tao;  Wang, Ziming;  Xiang, Xueshuang
收藏  |  浏览/下载:65/0  |  提交时间:2023/02/07
Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term 期刊论文
APPLICABLE ANALYSIS, 2021, 页码: 34
作者:  Meng, Shixu;  Oudghiri-Idrissi, Othman;  Guzina, Bojan B.
收藏  |  浏览/下载:160/0  |  提交时间:2021/10/26
Waves in periodic media  dynamic homogenization  finite frequency  band gap  (Floquet-)Bloch transform  variational formulation  
A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 卷号: 39, 期号: 3, 页码: 20
作者:  Du, Yulong;  Wang, Yahui;  Yuan, Li
收藏  |  浏览/下载:160/0  |  提交时间:2020/09/23
Finite-volume method  High-order accuracy  Dimension-by-dimension reconstruction  Cartesian grid  Nonlinear convection-diffusion equation  65M08  65M12  65M20  
High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface 期刊论文
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2020, 卷号: 46, 期号: 1, 页码: 18
作者:  Cui, Tao;  Leng, Wei;  Liu, Huaqing;  Zhang, Linbo;  Zheng, Weiying
收藏  |  浏览/下载:142/0  |  提交时间:2021/01/14
Quadrature  tetrahedral mesh  curved surface  extended finite element  high order  
On the Derivative Imbalance and Ambiguity of Functions 期刊论文
IEEE TRANSACTIONS ON INFORMATION THEORY, 2019, 卷号: 65, 期号: 9, 页码: 5833-5845
作者:  Fu, Shihui;  Feng, Xiutao;  Wang, Qiang;  Carlet, Claude
收藏  |  浏览/下载:163/0  |  提交时间:2020/01/10
Ambiguity  derivative imbalance  differential uniformity  Fourier transform  nonlinearity  
A multiscale method for wave propagation in 3D heterogeneous poroelastic media 期刊论文
GEOPHYSICS, 2019, 卷号: 84, 期号: 4, 页码: T237-T257
作者:  Zhang, Wensheng;  Zheng, Hui
收藏  |  浏览/下载:147/0  |  提交时间:2020/01/10
Point cloud surface segmentation based on volumetric eigenfunctions of the Laplace-Beltrami operator 期刊论文
COMPUTER AIDED GEOMETRIC DESIGN, 2019, 卷号: 71, 页码: 157-175
作者:  Li, Xinge;  Zhang, Yongjie Jessica;  Yang, Xuyang;  Xu, Haibo;  Xu, Guoliang
收藏  |  浏览/下载:147/0  |  提交时间:2020/01/10
Point cloud surface  Segmentation  Level set form of Laplace-Beltrami operator  Volumetric eigenfunction  Split Bregman iteration  
Reduction-based creative telescoping for fuchsian D-finite functions 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2018, 卷号: 85, 页码: 108-127
作者:  Chen, Shaoshi;  van Hoeij, Mark;  Kauers, Manuel;  Koutschan, Christoph
收藏  |  浏览/下载:141/0  |  提交时间:2018/07/30
D-finite function  Integral basis  Trager's reduction  Telescoper  
Linear representation of symmetric games 期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2017, 卷号: 11, 期号: 18, 页码: 3278-3287
作者:  Chen, Daizhan;  Liu, Ting
收藏  |  浏览/下载:137/0  |  提交时间:2018/07/30
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
作者:  Zhang, Shangyou;  Zhang, Shuo
浏览  |  Adobe PDF(1589Kb)  |  收藏  |  浏览/下载:488/123  |  提交时间:2018/07/23
Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid