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MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 2, 页码: A1091-A1120
Authors:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
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Maxwell-Schrodinger system  homogenization method  multiscale asymptotic expansion  finite element method  
Multiscale numerical algorithms for elastic wave equations with rapidly oscillating coefficients 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 336, 页码: 16
Authors:  Dong, Qiao-li;  Cao, Li-qun;  Wang, Xin;  Huang, Ji-zu
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The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 311, 页码: 583-598
Authors:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Yang, Zihao
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Multiscale analysis  Transient heat transfer problem  Periodic porous materials  The hole-filling method  
Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2016, 卷号: 32, 期号: 2, 页码: 510-530
Authors:  Yang, Zhiqiang;  Cui, Junzhi;  Wang, Ziqiang;  Zhang, Yang
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multiscale asymptotic expansion  error estimates  periodic porous materials  integrated heat transfer  
The hole-filling method and the multiscale computation for the wave equations in perforated domains 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 8, 页码: 1743-1756
Authors:  Dong, Qiaoli;  Cao, Liqun
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Wave equation  Hole-filling method  Homogenization  Multiscale asymptotic method  Finite element method  A perforated domain  
A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 266, 页码: 149-168
Authors:  Huang, Jizu;  Cao, Liqun;  Yang, Chao
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Radiation heat transfer equation  Homogenization  Multiscale asymptotic expansion  Composite materials  Porous media  
Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients 期刊论文
CHINESE PHYSICS B, 2015, 卷号: 24, 期号: 9, 页码: 14
Authors:  Dong Hao;  Nie Yu-Feng;  Cui Jun-Zhi;  Wu Ya-Tao
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hyperbolic-parabolic equations  rapidly oscillating coefficients  second-order two-scale numerical method  Newmark scheme  
secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients 期刊论文
chinesephysicsb, 2015, 卷号: 24, 期号: 9
Authors:  Dong Hao;  Nie Yufeng;  Cui Junzhi;  Wu Yatao
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Multiscale analysis and numerical algorithm for the Schrodinger equations in heterogeneous media 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 217, 期号: 8, 页码: 3955-3973
Authors:  Cao, Li-qun;  Luo, Jian-lan;  Wang, Chong-yu
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Homogenization  Multiscale asymptotic expansion  Schrodinger equation  The effective mass approximation  Multiscale finite element method  
Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 12, 页码: 3008-3032
Authors:  Dong, Qiao-Li;  Cao, Li-Qun
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Homogenization  Multiscale asymptotic expansion  The wave equation with rapidly oscillating coefficients  Finite element method  Symplectic geometric scheme