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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:97/0  |  提交时间:2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
Space-time finite element method for the distributed-order time fractional reaction diffusion equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
作者:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
收藏  |  浏览/下载:136/0  |  提交时间:2020/05/24
Distributed-order reaction diffusion equation  Space-time finite element method  Graded time mesh  Well-posedness  Error estimate  Sum-of-exponentials approximation  
Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 136, 页码: 215-234
作者:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Ma, Qiang;  Cheng, Xiaohan
收藏  |  浏览/下载:172/0  |  提交时间:2019/03/05
Periodic porous materials  Asymptotic homogenization method  Diverse periodic configurations  Error estimate  SOTS numerical algorithm  
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:118/0  |  提交时间:2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
A quadrilateral, anisotropic, superconvergent, nonconforming double set parameter element 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 7, 页码: 937-961
作者:  Mao, SP;  Chen, SC;  Sun, HX
收藏  |  浏览/下载:74/0  |  提交时间:2018/07/30
quadrilateral nonconforming element  double set parameter  superconvergence  anisotropic  a posteriori error estimate  
Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2001, 卷号: 37, 期号: 1-2, 页码: 127-143
作者:  Hu, QY;  Yu, DH
收藏  |  浏览/下载:90/0  |  提交时间:2018/07/30
natural boundary reduction  composite grid  error estimate  iteration algorithm  convergence rate