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Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 卷号: 228, 页码: 21
作者:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
收藏  |  浏览/下载：114/0  |  提交时间：2023/02/07
The Euler equation  Vortex sheets  Birkhoff-Rott operator  Implicit function theorem  
A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 404, 页码: 21
作者:  Pan, Qing;  Chen, Chong;  Zhang, Yongjie Jessica;  Yang, Xiaofeng
收藏  |  浏览/下载：113/0  |  提交时间：2023/02/07
Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
Time-domain PML analysis of a fluid-solid interaction problem above a rough surface 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 页码: 18
作者:  Wei, Changkun;  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载：67/0  |  提交时间：2023/02/07
acoustic wave equation  elastic wave equation  exponential convergence  perfectly matched layer  stability  unbounded rough surface  
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  
Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 卷号: 222, 页码: 14
作者:  Liu, Yechi
收藏  |  浏览/下载：85/0  |  提交时间：2023/02/07
Viscous conservation law  Asymptotic behavior  Time decay rate  Viscous shock wave  Discontinuous initial data  
Prediction of the transcription factor binding sites with meta-learning 期刊论文
METHODS, 2022, 卷号: 203, 页码: 207-213
作者:  Jing, Fang;  Zhang, Shao-Wu;  Zhang, Shihua
收藏  |  浏览/下载：175/0  |  提交时间：2023/02/07
Convolution neural network  Transcription factor binding sites  Meta learning  Noisy labels data  
VP-Detector: A 3D multi-scale dense convolutional neural network for macromolecule localization and classification in cryo-electron tomograms 期刊论文
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE, 2022, 卷号: 221, 页码: 14
作者:  Hao, Yu;  Wan, Xiaohua;  Yan, Rui;  Liu, Zhiyong;  Li, Jintao;  Zhang, Shihua;  Cui, Xuefeng;  Zhang, Fa
收藏  |  浏览/下载：107/0  |  提交时间：2023/02/07
Cryo-ET  Sub-tomogram averaging  Particle localization  Particle classification  Convolutional neural networks  
Decay properties for inhomogeneous heat-conducting magnetohydrodynamic equations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 页码: 26
作者:  Han, Pigong;  Lei, Keke;  Liu, Chenggang;  Wang, Xuewen
收藏  |  浏览/下载：109/0  |  提交时间：2022/04/29
decay  incompressible heat-conducting flows  inhomogeneous  
Ancient finite entropy flows by powers of curvature in R-2 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 卷号: 216, 页码: 19
作者:  Choi, Kyeongsu;  Sun, Liming
收藏  |  浏览/下载：89/0  |  提交时间：2022/04/02
Curve shortening flow  Ancient solutions  Fully nonlinear parabolic PDEs  
Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2022, 页码: 32
作者:  Sun, Geng;  Gan, Siqing;  Liu, Hongyu;  Shang, Zaijiu
收藏  |  浏览/下载：153/0  |  提交时间：2022/04/02
Key words  Runge-Kutta method  symmetric  symplectic  adjoint  high-order  explicit method