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CLT for approximating ergodic limit of SPDEs via a full discretization 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 卷号: 157, 页码: 1-41
作者:  Chen, Chuchu;  Dang, Tonghe;  Hong, Jialin;  Zhou, Tau
收藏  |  浏览/下载：181/0  |  提交时间：2023/02/07
Central limit theorem  Stochastic partial differential equation  Full discretization  Poisson equation  Ergodic limit  
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：162/0  |  提交时间：2023/02/07
The Euler equation  Vortex sheets  Birkhoff-Rott operator  Implicit function theorem  
On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 345, 页码: 1-44
作者:  Coron, Jean-Michel;  Xiang, Shengquan;  Zhang, Ping
收藏  |  浏览/下载：121/0  |  提交时间：2023/02/07
Semiclassical Schr?dinger equation  Quantum density  Quantum momentum  Controllability  Semiclassical limit  
Deep Domain Decomposition Methods: Helmholtz Equation 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2023, 卷号: 15, 期号: 1, 页码: 118-138
作者:  Li, Wuyang;  Wang, Ziming;  Cui, Tao;  Xu, Yingxiang;  Xiang, Xueshuang
收藏  |  浏览/下载：155/0  |  提交时间：2023/02/07
Helmholtz equation  deep learning  domain decomposition method  plane wave method  
Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 卷号: 518, 期号: 1, 页码: 25
作者:  Zhao, Zhongliu;  Zhang, Wensheng
收藏  |  浏览/下载：157/0  |  提交时间：2023/02/07
Inverse problem  Semi-discrete Schr?dinger equation  Discrete Carleman estimate  Convergence  Stability  
Design of boundary pulse width modulation controller for a class of heat equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 437, 页码: 16
作者:  Zong, Xiju;  Zhang, Ji-Feng;  Zheng, Jiangtao;  Liu, Zengxin;  Ma, Guoyao
收藏  |  浏览/下载：100/0  |  提交时间：2023/02/07
Heat equation  Boundary PWM control  Multi-agent systems  Synchronization control  
Universal potential estimates for 1 < p <= 2-1 dagger n 期刊论文
MATHEMATICS IN ENGINEERING, 2023, 卷号: 5, 期号: 3, 页码: 1-24
作者:  Nguyen, Quoc-Hung;  Phuc, Nguyen Cong
收藏  |  浏览/下载：99/0  |  提交时间：2023/02/07
pointwise estimate  potential estimate  Wolff?s potential  Riesz?s potential  fractional maximal function  Caldero?n space  p-Laplacian  quasilinear equation  measure data  
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 卷号: 472, 页码: 22
作者:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
收藏  |  浏览/下载：143/0  |  提交时间：2023/02/07
Kohn-Sham equation  Multilevel correction method  Finite element method  Separately handing nonlinear terms  Parallel computing  
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
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载：112/0  |  提交时间：2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
Hermite spectral method for multi-species Boltzmann equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 471, 页码: 29
作者:  Li, Ruo;  Lu, Yixiao;  Wang, Yanli;  Xu, Haoxuan
收藏  |  浏览/下载：98/0  |  提交时间：2023/02/07
Multi-species Boltzmann equation  Multi-species binary collision operator  Hermite spectral method