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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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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View/Download:38/0
  |  
Submit date:2023/02/07
Helmholtz equation
deep learning
domain decomposition method
plane wave method
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
Authors:
Cui, Tao
;
Wang, Ziming
;
Xiang, Xueshuang
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View/Download:24/0
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Submit date:2023/02/07
Helmholtz equation
Deep learning
Finite difference method
Plane wave method
RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS
期刊论文
INVERSE PROBLEMS AND IMAGING, 2022, 页码: 21
Authors:
Zhu, Tielei
;
Yang, Jiaqing
;
Zhang, Bo
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View/Download:84/0
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Submit date:2022/04/29
Interaction
Maxwell's equations
Navier equation
well-posedness
inverse scattering
uniqueness
Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 427, 页码: 13
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Wang, Li
;
Zhang, Minghe
;
Yan, Zhenya
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View/Download:104/0
  |  
Submit date:2022/04/29
n-component Hirota equation
Non-zero backgrounds
Modified Darboux transform
Multiple roots
Rational RWs and W-shaped solitons
Non-integrable deformation
Layer-Splitting Methods for Time-Dependent Schrodinger Equations of Incommensurate Systems
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 30, 期号: 5, 页码: 1474-1498
Authors:
Wang, Ting
;
Chen, Huajie
;
Zhou, Aihui
;
Zhou, Yuzhi
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View/Download:77/0
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Submit date:2022/04/02
Incommensurate system
time-dependent Schrodinger equation
time stepping scheme
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
Authors:
Yuan, Long
;
Hu, Qiya
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View/Download:66/0
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Submit date:2022/04/02
Helmholtz equation
Time-harmonic Maxwell's equations
Anisotropic media
Plane wave basis
Error estimates
An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 页码: 35
Authors:
Jiang, Xue
;
Li, Peijun
;
Lv, Junliang
;
Wang, Zhoufeng
;
Wu, Haijun
;
Zheng, Weiying
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View/Download:82/0
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Submit date:2022/04/02
Maxwell's equations
diffractive grating problem
biperiodic structures
adaptive finite element method
transparent boundary condition
a posteriori error estimate
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach
期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
Authors:
Chen, Shuyan
;
Yan, Zhenya
;
Guo, Boling
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View/Download:122/0
  |  
Submit date:2021/06/01
Focusing Hirota equation
Non-zero boundary conditions
Inverse scattering
Oscillatory Riemann-Hilbert problem
Nonlinear steepest-descent method
Long-time asymptotics
Imaging of buried obstacles in a two-layered medium with phaseless far-field data
期刊论文
INVERSE PROBLEMS, 2021, 卷号: 37, 期号: 5, 页码: 26
Authors:
Li, Long
;
Yang, Jiansheng
;
Zhang, Bo
;
Zhang, Haiwen
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View/Download:136/0
  |  
Submit date:2021/06/01
two-layered medium
buried obstacle
phaseless far-field data
direct imaging method
recursive Newton-type iteration algorithm
A novel method in determining a layered periodic structure
期刊论文
Boundary Value Problems, 2020, 卷号: 2020, 期号: 1
Authors:
Cui,Yanli
;
Li,Xiliang
;
Qu,Fenglong
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View/Download:102/0
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Submit date:2021/01/14
Inverse scattering
Uniqueness
Lαp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L^{p}_{\alpha }$\end{document} estimate
Periodic structures