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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:94/0  |  提交时间:2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 卷号: 91, 期号: 334, 页码: 623-657
作者:  Liang, Qigang;  Xu, Xuejun
收藏  |  浏览/下载:151/0  |  提交时间:2022/04/29
Maxwell eigenvalue problem  edge element  Helmholtz projection  Jacobi-Davidson method  domain decomposition  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载:180/0  |  提交时间:2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 99, 页码: 8
作者:  Luo, Fusheng;  Xie, Hehu;  Xie, Manting;  Xu, Fei
收藏  |  浏览/下载:189/0  |  提交时间:2020/01/10
Molecular beam epitaxy  Adaptive time-stepping method  Equidistribution of energy  Equidistribution of roughness  
A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 卷号: 11, 期号: 6, 页码: 1263-1286
作者:  Liao, Yulei;  Ming, Pingbing
收藏  |  浏览/下载:194/0  |  提交时间:2020/01/10
Nonconforming finite elements  strain gradient elasticity  uniform error estimate  
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:160/0  |  提交时间:2020/01/10
Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 361, 页码: 670-679
作者:  Tang, Wensheng;  Sun, Yajuan;  Zhang, Jingjing
收藏  |  浏览/下载:191/0  |  提交时间:2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods  Hamiltonian systems  Symplectic integrators  Legendre polynomial expansion  Simplifying assumptions  
High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 4, 页码: 797-817
作者:  Wang, Fenling;  Zhao, Yanmin;  Shi, Zhengguang;  Shi, Yanhua;  Tang, Yifa
收藏  |  浏览/下载:157/0  |  提交时间:2020/01/10
Time fractional wave equation  anisotropic nonconforming quasi-Wilson finite element  Crank-Nicolson scheme  stability  superclose and superconvergence  
ON THE CONVERGENCE OF A TWO-LEVEL PRECONDITIONED JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMS 期刊论文
MATHEMATICS OF COMPUTATION, 2019, 卷号: 88, 期号: 319, 页码: 2295-2324
作者:  Wang, Wei;  Xu, Xuejun
收藏  |  浏览/下载:163/0  |  提交时间:2020/01/10
Jacobi-Davidson method  eigenvalue problems  domain decomposition method  
Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1705-1719
作者:  Zhao, Yanmin;  Wang, Fenling;  Hu, Xiaohan;  Shi, Zhengguang;  Tang, Yifa
收藏  |  浏览/下载:178/0  |  提交时间:2020/01/10
Multi-term time-fractional mixed diffusion-wave equations  Linear triangle finite element  L1 time-stepping method  Crank-Nicolson scheme  Unconditional stability  Convergence and superconvergence