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Finite element approximation of optimal control problems governed by time fractional diffusion equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 301-318
作者:  Zhou, Zhaojie;  Gong, Wei
收藏  |  浏览/下载:177/0  |  提交时间:2018/07/30
Galerkin finite element method  Optimal control problems  Time fractional diffusion equations  A priori error estimate  Variational discretization  
On sinc discretization and banded preconditioning for linear third-order ordinary differential equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 471-497
作者:  Bai, Zhong-Zhi;  Chan, Raymond H.;  Ren, Zhi-Ru
收藏  |  浏览/下载:131/0  |  提交时间:2018/07/30
third-order ordinary differential equation  sinc-collocation discretization  sinc-Galerkin discretization  convergence analysis  banded preconditioning  Krylov subspace methods  
Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 卷号: 33, 期号: 14, 页码: 1723-1742
作者:  Chen, Huajie;  Gong, Xingao;  Zhou, Aihui
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
eigenvalue  Galerkin discretization  nonlinear  numerical approximation  density functional  orbital-free  
VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 2-3, 页码: 237-253
作者:  Hinze, Michael;  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载:131/0  |  提交时间:2018/07/30
Constrained optimal control problem  Convection dominated diffusion equation  Edge stabilization Galerkin method  Variational discretization  A priori error estimate  A posteriori error estimate  
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:151/0  |  提交时间:2018/07/30
time-dependent partial differential equation  sinc-Galerkin discretization  Toeplitz- like matrix  preconditioning  eigenvalue bound  GMRES method  
Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 卷号: 45, 期号: 1, 页码: 296-312
作者:  Liu, Fang;  Zhou, Aihui
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
Boolean Galerkin discretization  Fredholm integral equation  multidimension  two-scale  
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:131/0  |  提交时间:2018/07/30
Burgers equation  Sinc-Galerkin discretization  Toeplitz-like matrices  preconditioners  GMRES method