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The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
作者:  Hou, Baohui;  Liang, Dong
收藏  |  浏览/下载:116/0  |  提交时间:2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载:151/0  |  提交时间:2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
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  
New error estimates of Adini's elements for Poisson's equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2004, 卷号: 50, 期号: 1, 页码: 49-74
作者:  Huang, HT;  Li, ZC;  Yan, NN
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
Adini's elements  Neumann problems  Poisson's equation  global superconvergence  stability analysis  
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