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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
作者:  Cui, Tao;  Wang, Ziming;  Xiang, Xueshuang
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems 期刊论文
COMPUTATIONAL MATERIALS SCIENCE, 2021, 卷号: 188, 页码: 9
作者:  Chen, Huajie;  Zhou, Aihui;  Zhou, Yuzhi
收藏  |  浏览/下载：118/0  |  提交时间：2021/04/26
Incommensurate systems  Localized-extended transition  Plane waves  
Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 页码: 22
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：158/0  |  提交时间：2020/01/10
Helmholtz equation  nonhomogeneous  variable wave numbers  generalized plane wave  local spectral elements  error estimates  
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：161/0  |  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  
Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation 期刊论文
MODERN PHYSICS LETTERS B, 2018, 卷号: 32, 期号: 1, 页码: 21
作者:  Wen, Xiao-Yong;  Zhang, Guoqiang
收藏  |  浏览/下载：139/0  |  提交时间：2018/07/30
Generalized perturbation (n, N - n)-fold Darboux transformation  the Kundu equation  higher-order implicit RW solutions  numerical simulations  
Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations 期刊论文
EPL, 2017, 卷号: 118, 期号: 6, 页码: 6
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Maxwell's equations in an unbounded structure 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 3, 页码: 573-588
作者:  Li, Peijun;  Zheng, Gaofeng;  Zheng, Weiying
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Maxwell's equations  generalized Lax-Milgram theorem  unbounded rough surface  
Highly parallel rigorous simulations of phase-shift masks with a generalized eigen-oscillation spectral element method 期刊论文
JOURNAL OF MICRO-NANOLITHOGRAPHY MEMS AND MOEMS, 2009, 卷号: 8, 期号: 3, 页码: 13
作者:  Zong, Ke;  Zeng, Xuan;  Ji, Xia;  Cai, Wei
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
lithography simulation  phase-shifting mask  spectral method  eigen oscillations  discontinuous Galerkin method  Schwarz domain decomposition iteration  
The generalized riemann problem for a scalar nonconvex chapman-jouguet combustion model 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2007, 卷号: 68, 期号: 2, 页码: 544-561
作者:  Sheng, Wancheng;  Sun, Meina;  Zhang, Tong
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
scalar nonconvex CJ combustion model  generalized Riemann problem  detonation  deflagration