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The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 407, 页码: 20
作者:  Fu, Yaoyao;  Cao, Liqun
收藏  |  浏览/下载:54/0  |  提交时间:2023/02/07
Time-dependent Maxwell-Dirac system  Error estimate  Topological insulator  Graphene  Superconductor  Crank-Nicolson Galerkin finite element method  
Spectrally accurate space-time solution of Manakov systems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 20
作者:  Barletti, Luigi;  Brugnano, Luigi;  Tang, Yifa;  Zhu, Beibei
收藏  |  浏览/下载:147/0  |  提交时间:2020/06/30
Hamiltonian PDEs  Manakov system  Energy-conserving methods  Hamiltonian Boundary Value Methods  HBVMs  Spectral methods  
Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg-de Vries equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 351, 页码: 117-135
作者:  Brugnano, Luigi;  Gurioli, Gianmarco;  Sun, Yajuan
收藏  |  浏览/下载:191/0  |  提交时间:2020/01/10
Korteweg-de Vries equation  Hamiltonian partial differential equations  Hamiltonian problems  Energy-conserving methods  Hamiltonian boundary value methods  HBVMs  
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:162/0  |  提交时间:2018/09/08
Helmholtz equation  Time-harmonic Maxwell's equations  Well posedness  Electromagnetic wave  Plane wave basis  Error estimates  
A stable and scalable hybrid solver for rate-type non-Newtonian fluid models 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 300, 页码: 103-118
作者:  Lee, Young-Ju;  Leng, Wei;  Zhang, Chen-Song
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
Finite element methods  Scalable solver  Stable discretization  Non-Newtonian models  
Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 235, 期号: 17, 页码: 4937-4948
作者:  Kong, Linghua;  Hong, Jialin;  Fu, Fangfang;  Chen, Jing
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
Gross-Pitaevskii equation  Symplectic integrator  Splitting symplectic integrator  Conservation laws  
The alpha th moment stability for the stochastic pantograph equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 233, 期号: 2, 页码: 109-120
作者:  Fan, Zhencheng;  Song, Minghui;  Liu, Mingzhu
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
Stochastic pantograph equation  Razumikhin type theorem  MS-stability  GMS-stability  Semi-implicit Euler methods  
Symplectic integrator for nonlinear high order Schrodinger equation with a trapped term 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 231, 期号: 2, 页码: 664-679
作者:  Kong, Linghua;  Hong, Jialin;  Wang, Lan;  Fu, Fangfang
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Schrodinger equation  Symplectic scheme  Conservation law  Trapped term  
A cut-peak function method for global optimization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 230, 期号: 1, 页码: 135-142
作者:  Wang, Yuncheng;  Fang, Weiwu;  Wu, Tianjiao
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
Global optimization  Cut-peak function  Box constrained minimization problem  Smoothing technique  
Numerical study on incomplete orthogonal factorization preconditioners 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 226, 期号: 1, 页码: 22-41
作者:  Bai, Zhong-Zhi;  Duff, Iain S.;  Yin, Jun-Feng
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
Preconditioning  Givens rotation  Incomplete orthogonal factorization  Nonsymmetric matrix  Normal equations