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A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 页码: 15
Authors:  Zhang, Jingna;  Huang, Jianfei;  Aleroev, Temirkhan S.;  Tang, Yifa
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Time-space fractional nonlinear vibration equations  two dimensions  linearized ADI scheme  stability  convergence  
The interior inverse electromagnetic scattering for an inhomogeneous cavity 期刊论文
Inverse Problems, 2021, 卷号: 37, 期号: 2
Authors:  Zeng,Fang;  Meng,Shixu
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interior inverse scattering  linear sampling method  exterior transmission problem  Maxwell's equations  cavity  
A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration 期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 19
Authors:  Xu, Fei;  Xie, Hehu;  Xie, Manting;  Yue, Meiling
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BEC  GPE  Nonlinear eigenvalue problem  Multigrid method  Finite element method  
WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
Authors:  Zhang, Yongwei;  Cao, Liqun;  Shi, Dongyang
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Maxwell's equations  dispersive medium  well-posedness  the multiscale asymptotic expansion  finite element method  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
Authors:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
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Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
The null-timelike boundary problems of linear wave equations in asymptotically anti-de Sitter spacetime 期刊论文
Classical and Quantum Gravity, 2020, 卷号: 37, 期号: 16
Authors:  Zhang,Lin;  Wu,Xiaoning
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initial-boundary value problem  asymptotic AdS space-time  linear wave equation  
Analysis of a time-dependent fluid-solid interaction problem above a local rough surface 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 5, 页码: 887-906
Authors:  Wei, Changkun;  Yang, Jiaqing
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well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
On global classical solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 页码: 24
Authors:  Lu, Boqiang;  Wang, Yixuan;  Wu, Yuhang
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compressible Navier-Stokes equations  density-dependent viscosity  global classical solutions  large-time behavior  vacuum  
Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 页码: 24
Authors:  Huang, Feimin;  Hong, Hakho;  Shi, Xiaoding
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compressible Navier-Stokes-Korteweg system  existence  uniqueness  Van der Waals gas  
MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 221-240
Authors:  Cheng, Xiyou;  Feng, Zhaosheng;  Zhang, Zhitao
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Positive solution  Hammerstein integral equations  weighted functions  fixed point index  Dirichlet boundary condition