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Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 42
作者:  Lyu, Maohui;  Bokil, Vrushali A.;  Cheng, Yingda;  Li, Fengyan
收藏  |  浏览/下载：158/0  |  提交时间：2022/04/02
Maxwell's equations  Kerr and Raman nonlinear effects  Linear Lorentz  Nodal discontinuous Galerkin methods  Energy stable  High dimensions  
Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 页码: 23
作者:  Ma, Chupeng;  Zhang, Yongwei;  Cao, Liqun
收藏  |  浏览/下载：141/0  |  提交时间：2022/06/21
error estimates  Galerkin finite element methods  time stepping scheme  Maxwell-Schrodinger  
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 248-267
作者:  Fang, Zhiwei;  Li, Jichun;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：196/0  |  提交时间：2020/01/10
Maxwell's equations  Finite element method  Random inputs  Polynomial chaos methods  Stochastic Galerkin  
High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 329, 页码: 23-37
作者:  Qian, Shouguo;  Liu, Yu;  Li, Gang;  Yuan, Li
收藏  |  浏览/下载：176/0  |  提交时间：2018/07/30
Euler equations  Isentropic equilibrium state  Discontinuous Galerkin methods  Well-balanced property  Gravitational fields  
On sinc discretization and banded preconditioning for linear third-order ordinary differential equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 471-497
作者:  Bai, Zhong-Zhi;  Chan, Raymond H.;  Ren, Zhi-Ru
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
third-order ordinary differential equation  sinc-collocation discretization  sinc-Galerkin discretization  convergence analysis  banded preconditioning  Krylov subspace methods  
Note on coefficient matrices from stochastic Galerkin methods for random diffusion equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 22, 页码: 8225-8230
作者:  Zhou, Tao;  Tang, Tao
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Galerkin methods  Stochastic diffusion equations  Matrix properties  
Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs 期刊论文
SCIENCE CHINA-MATHEMATICS, 2010, 卷号: 53, 期号: 1, 页码: 1-22
作者:  Wang Bo;  Wang Rui;  Xu YueSheng
收藏  |  浏览/下载：223/0  |  提交时间：2018/07/30
Dirichlet problem  open arc  singular boundary integral equations  Fourier-Galerkin methods  logarithmic potentials  
The multi-projection method for weakly singular Fredholm integral equations of the second kind 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 卷号: 87, 期号: 14, 页码: 3254-3265
作者:  Long, Guangqing;  Nelakanti, Gnaneshwar
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
super-convergence rates  multi-projection methods  singularity preserving  Petrov-Galerkin methods  integral equations  
A fast Fourier-Galerkin method for solving singular boundary integral equations 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 4, 页码: 1965-1984
作者:  Cai, Haotao;  Xu, Yuesheng
收藏  |  浏览/下载：201/0  |  提交时间：2018/07/30
singular boundary integral equations  Fourier-Galerkin methods  fast solutions  
Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2007, 卷号: 186, 期号: 1, 页码: 598-609
作者:  Ma, Jingtang
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
partial Volterra integro-differential equations  unbounded spatial domain  artificial boundary conditions  discontinuous Galerkin time-stepping methods  finite element methods