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Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
收藏  |  浏览/下载：103/0  |  提交时间：2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
A cascadic multigrid method for nonsymmetric eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 55-72
作者:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
收藏  |  浏览/下载：168/0  |  提交时间：2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 129, 页码: 120-136
作者:  Hong, Jialin;  Huang, Chuying;  Wang, Xu
收藏  |  浏览/下载：148/0  |  提交时间：2018/07/30
Rough path  Hamiltonian system  Symplectic Runge-Kutta method  Implicit method  Pathwlse convergence rate  
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
作者:  Hong, Jialin;  Ji, Lihai;  Liu, Zhihui
收藏  |  浏览/下载：164/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2011, 卷号: 61, 期号: 4, 页码: 615-629
作者:  Chen, Hongtao;  Jia, Shanghui;  Xie, Hehu
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Raviart-Thomas  Rayleigh quotient formula  Supercloseness  Postprocessing  
Convergence of a standard adaptive nonconforming finite element method with optimal complexity 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2010, 卷号: 60, 期号: 7, 页码: 673-688
作者:  Mao, Shipeng;  Zhao, Xuying;  Shi, Zhongci
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
Adaptive methods  Nonconforming finite elements  A posteriori error estimation  Convergence rate  Optimal computational complexity  
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
作者:  Dong, Qiao-Li;  Cao, Li-Qun
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic expansion  The wave equation with rapidly oscillating coefficients  Finite element method  Symplectic geometric scheme  
On HSS-based iteration methods for weakly nonlinear systems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 12, 页码: 2923-2936
作者:  Bai, Zhong-Zhi;  Yang, Xi
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
System of weakly nonlinear equations  HSS iteration method  Inner/outer iteration scheme  Nonlinear iteration scheme  Local convergence  
Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2008, 卷号: 58, 期号: 9, 页码: 1349-1374
作者:  Cao, Li-Qun;  Luo, Jian-Lan
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
homogenization  asymptotic expansion  elliptic eigenvalue problems  perforated domain  finite element method