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Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 卷号: 344, 页码: 323-345
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载:160/0  |  提交时间:2018/09/08
Helmholtz equation  Time-harmonic Maxwell's equations  Well posedness  Electromagnetic wave  Plane wave basis  Error estimates  
Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 卷号: 76, 期号: 11-12, 页码: 2549-2565
作者:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Yang, Zhiqiang
收藏  |  浏览/下载:204/0  |  提交时间:2019/01/11
Heat conduction problems  Multiscale asymptotic analysis  Diverse periodic configurations  Error estimate  SOTS numerical algorithm  
Prediction of mechanical properties in statistically inhomogeneous core-shell materials by second-order two-scale method 期刊论文
ACTA MECHANICA, 2018, 卷号: 229, 期号: 11, 页码: 4495-4519
作者:  Yang, Zhiqiang;  Cui, Junzhi;  Sun, Yi;  Dong, Hao
收藏  |  浏览/下载:154/0  |  提交时间:2019/01/11
Statistically inhomogeneous materials  Multiscale method  Core-shell particle  Effective property  
A three-scale homogenization algorithm for coupled conduction-radiation problems in porous materials with multiple configurations 期刊论文
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2018, 卷号: 125, 页码: 1196-1211
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Yang, Zihao;  Guan, Tianyu
收藏  |  浏览/下载:167/0  |  提交时间:2018/09/08
Three-scale homogenization algorithms  Conduction-radiation problems  Micro-meso-macro formulations  Porous materials  
The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2018, 卷号: 10, 期号: 5, 页码: 1126-1157
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载:161/0  |  提交时间:2019/03/05
Electromagnetic wave  plane wave least-squares  ultra weak variational formulation  anisotropic media  plane-wave basis  error estimates  
Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 9, 页码: 1567-1588
作者:  Ding, Zhaodong;  Shang, Zaijiu
收藏  |  浏览/下载:141/0  |  提交时间:2018/10/07
Hamiltonian systems  symplectic integrators  KAM theory  invariant tori  twist symplectic mappings  Russmann's non-degeneracy  
Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 62, 页码: 117-133
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:160/0  |  提交时间:2018/07/30
equations  Modulational instability  Darboux transformation  Nth-order vector rational and semi-rational  rogue waves  Superposition of rogue waves  Dynamics  
High-order three-scale computational method for heat conduction problems of axisymmetric composite structures with multiple spatial scales 期刊论文
ADVANCES IN ENGINEERING SOFTWARE, 2018, 卷号: 121, 页码: 1-12
作者:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Wang, Ziqiang
收藏  |  浏览/下载:166/0  |  提交时间:2018/07/30
Multiscale asymptotic analysis  Heat conduction problems  Axisymmetric composite structures  Multiple spatial scales  HOTS numerical algorithm  
The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 卷号: 474, 期号: 2215, 页码: 20
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:178/0  |  提交时间:2018/09/08
n-component nonlinear Schrodinger equations  Darboux transformation dark-bright mixed solitons  dark-bright mixed high-order solitons  wing-shaped structure of the breathers  dynamics  
MIXED SCHEMES FOR QUAD-CURL EQUATIONS 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2018, 卷号: 52, 期号: 1, 页码: 147-161
作者:  Zhang, Shuo
收藏  |  浏览/下载:161/0  |  提交时间:2018/07/30
Quad-curl equation  mixed scheme  regularity analysis  finite element method