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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
Authors:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
Favorite  |  View/Download:137/0  |  Submit date:2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
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
Authors:  Hou, Baohui;  Liang, Dong
Favorite  |  View/Download:144/0  |  Submit date:2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
Editorial preface: Recent advances in numerical algebra with interdisciplinary applications 期刊论文
Authors:  Bai, Zhong-Zhi;  Reichel, Lothar;  Wang, Zeng-Qi
Favorite  |  View/Download:154/0  |  Submit date:2021/04/26
NASC  International Conference  Nanjing  
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
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
Favorite  |  View/Download:174/0  |  Submit date:2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
Authors:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
Favorite  |  View/Download:232/0  |  Submit date:2021/01/14
Multi-term time-space derivatives  Fractional nonlinear diffusion-wave equations  Finite difference schemes  Stability  Convergence  Fast ADI scheme  
High-order stroboscopic averaging methods for highly oscillatory delay problems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 466-479
Authors:  Calvo, M. P.;  Sanz-Serna, J. M.;  Zhu, Beibei
Favorite  |  View/Download:150/0  |  Submit date:2020/05/24
Delay differential equations  Stroboscopic averaging  Highly oscillatory problems  
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
Authors:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
Favorite  |  View/Download:170/0  |  Submit date:2020/05/24
Distributed-order reaction diffusion equation  Space-time finite element method  Graded time mesh  Well-posedness  Error estimate  Sum-of-exponentials approximation  
A cascadic multigrid method for nonsymmetric eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 55-72
Authors:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
Favorite  |  View/Download:190/0  |  Submit date:2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
The nonconforming virtual element method for parabolic problems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 143, 页码: 97-111
Authors:  Zhao, Jikun;  Zhang, Bei;  Zhu, Xiaopeng
Favorite  |  View/Download:184/0  |  Submit date:2020/01/10
Nonconforming virtual element  Parabolic problem  Polygonal or polyhedral meshes  
Shadowing orbits of a class of random differential equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 136, 页码: 206-214
Authors:  Zhan, Qingyi
Favorite  |  View/Download:173/0  |  Submit date:2019/03/05
Random differential equation  Random dynamical system  Shadowing  Brouwer's fixed point theorem  Random Lorenz equations