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NUMERICAL INVESTIGATION OF ENSEMBLE METHODS WITH BLOCK ITERATIVE SOLVERS FOR EVOLUTION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 卷号: 25, 期号: 12, 页码: 4905-4923
作者:  Ju, Lili;  Leng, Wei;  Wang, Zhu;  Yuan, Shuai
收藏  |  浏览/下载:201/0  |  提交时间:2021/01/14
Ensemble method  ensemble-based time stepping  block CG  block GMRES  iterative linear solver  
A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 1, 页码: 291-311
作者:  Lu, Peipei;  Xu, Xuejun
收藏  |  浏览/下载:116/0  |  提交时间:2019/10/28
Multilevel method  Helmholtz equation  High wave number  Continuous interior penalty finite element method  GMRES method  Overlapping domain decomposition method  
OVERLAPPING DOMAIN DECOMPOSITION PRECONDITIONERS FOR UNCONSTRAINED ELLIPTIC OPTIMAL CONTROL PROBLEMS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2017, 卷号: 14, 期号: 4-5, 页码: 550-570
作者:  Tan, Zhiyu;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
Overlapping domain decomposition method  elliptic optimal control problem  preconditioned MINRES method  preconditioned GMRES method  
A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 2, 页码: A856-A874
作者:  Lu, Peipei;  Xu, Xuejun
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
multilevel method  time-harmonic Maxwell equation  high wave number  continuous interior penalty finite element method  GMRES method  local Fourier analysis  
ON PRECONDITIONED ITERATIVE METHODS FOR CERTAIN TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 卷号: 47, 期号: 2, 页码: 1019-1037
作者:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
time-dependent partial differential equation  sinc-Galerkin discretization  Toeplitz- like matrix  preconditioning  eigenvalue bound  GMRES method  
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2007, 卷号: 57, 期号: 3, 页码: 235-252
作者:  An, Heng-Bin;  Bai, Zhong-Zhi
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
systems of nonlinear equations  inexact Newton method  GMRES  global convergence  
On preconditioned iterative methods for Burgers equations 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 卷号: 29, 期号: 1, 页码: 415-439
作者:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
Burgers equation  Sinc-Galerkin discretization  Toeplitz-like matrices  preconditioners  GMRES method  
Preconditioned GMRES methods for discretization equation of nonsymmetric and indefinite elliptic problem 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2004, 卷号: 158, 期号: 2, 页码: 307-317
作者:  Zhang, S
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
preconditioned GMRES method  nonsymmetric and indefinite elliptic problem  finite element method