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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
Authors:  Chen, Chuchu;  Dang, Tonghe;  Hong, Jialin;  Zhou, Tau
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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
Authors:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
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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
Authors:  Coron, Jean-Michel;  Xiang, Shengquan;  Zhang, Ping
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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
Authors:  Li, Wuyang;  Wang, Ziming;  Cui, Tao;  Xu, Yingxiang;  Xiang, Xueshuang
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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
Authors:  Zhao, Zhongliu;  Zhang, Wensheng
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Inverse problem  Semi-discrete Schr?dinger equation  Discrete Carleman estimate  Convergence  Stability  
On the GFF with one free boundary condition 期刊论文
STATISTICS & PROBABILITY LETTERS, 2023, 卷号: 193, 页码: 8
Authors:  Han, Yong;  Wang, Yuefei;  Wang, Zipeng
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SLE?  Level line of GFF  Mixed boundary conditions  
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
Authors:  Zong, Xiju;  Zhang, Ji-Feng;  Zheng, Jiangtao;  Liu, Zengxin;  Ma, Guoyao
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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
Authors:  Nguyen, Quoc-Hung;  Phuc, Nguyen Cong
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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
Authors:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
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Kohn-Sham equation  Multilevel correction method  Finite element method  Separately handing nonlinear terms  Parallel computing  
Dissipation enhancement by transport noise for stochastic p-Laplace equations 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 卷号: 30, 期号: 1, 页码: 24
Authors:  Dong, Zhao;  Luo, Dejun;  Tang, Bin
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p-Laplace operator  Transport noise  Dissipation enhancement  Semigroup approach