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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
作者:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：59/0  |  提交时间：2023/02/07
Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems 期刊论文
ADVANCED NONLINEAR STUDIES, 2022, 卷号: 22, 期号: 1, 页码: 248-272
作者:  Ding, Yanheng;  Yu, Yuanyang;  Dong, Xiaojing
收藏  |  浏览/下载：49/0  |  提交时间：2023/02/07
Dirac-Klein-Gordon system  semi-classical states  multiplicity  subcritical and critical nonlinearities  
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：66/0  |  提交时间：2023/02/07
Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
AN ORTHOGONALIZATION-FREE PARALLELIZABLE FRAMEWORK FOR ALL-ELECTRON CALCULATIONS IN DENSITY FUNCTIONAL THEORY 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 3, 页码: B723-B745
作者:  Gao, Bin;  Hu, Guanghu;  Kuang, Yang;  Liu, Xin
收藏  |  浏览/下载：102/0  |  提交时间：2023/02/07
Key words  density functional theory  all-electron calculations  total energy minimization  orthogonalization-free  scalability  
ON THE CONVERGENCE TO LOCAL LIMIT OF NONLOCAL MODELS WITH APPROXIMATED INTERACTION NEIGHBORHOODS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2046-2068
作者:  Du, Qiang;  Xie, Hehu;  Yin, Xiaobo
收藏  |  浏览/下载：33/0  |  提交时间：2023/02/07
nonlocal model  peridynamics  polygonal approximation  horizon parameter  asymptotically compatible  convergence  
Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions 期刊论文
CASE STUDIES IN THERMAL ENGINEERING, 2021, 卷号: 28, 页码: 12
作者:  Khan, M. Riaz;  Elkotb, Mohamed Abdelghany;  Matoog, R. T.;  Alshehri, Nawal A.;  Abdelmohimen, Mostafa A. H.
收藏  |  浏览/下载：106/0  |  提交时间：2022/04/02
Casson fluid  Heat source  Stretching/Shrinking sheet  Thermal radiation  MHD  Convective condition  
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 卷号: 97, 页码: 355-374
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：94/0  |  提交时间：2022/04/02
Helmholtz equation  Time-harmonic Maxwell's equations  Anisotropic media  Plane wave basis  Error estimates  
Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2021, 卷号: 23, 期号: 06, 页码: 25
作者:  Liu, Yanyan;  Li, Chong;  Li, Shujie
收藏  |  浏览/下载：132/0  |  提交时间：2021/10/26
Strongly indefinite superlinear problem  prescribed number of nontrivial solutions  nonautonomous Hamiltonian systems  Dirac equations on compact spin manifold  
ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 9, 页码: 4105-4123
作者:  Ding, Yanheng;  Dong, Xiaojing;  Guo, Qi
收藏  |  浏览/下载：104/0  |  提交时间：2022/04/02
Nonlinear Dirac equation  Semi-classical solutions  Multiplicity  Variational methods  subcritical and critical nonlinearity  
Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 498, 期号: 1, 页码: 24
作者:  Peng, Bo;  Wang, Youde;  Wei, Guodong
收藏  |  浏览/下载：149/0  |  提交时间：2021/04/26
Gradient estimate  Ricci curvature  Nonlinear elliptic equation