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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:177/0  |  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  
Application of auxiliary space preconditioning in field-scale reservoir simulation 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 12, 页码: 2737-2751
作者:  Hu XiaoZhe;  Xu JinChao;  Zhang ChenSong
收藏  |  浏览/下载:144/0  |  提交时间:2021/01/14
ITERATIVE METHODS  BLOCK  EQUATIONS  SYSTEMS  GRIDS  reservoir simulation  black-oil model  fully implicit method  auxiliary space preconditioning  algebraic multigrid method  Krylov subspace iterative method  
Comparative study on order-reduced methods for linear third-order ordinary differential equations 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2012, 卷号: 7, 期号: 6, 页码: 1151-1168
作者:  Ren Zhiru
收藏  |  浏览/下载:126/0  |  提交时间:2021/01/14
PRECONDITIONED ITERATIVE METHODS  SYSTEMS  FLOWS  third-order ordinary differential equation  order-reduced method  sinc discretization  preconditioner  Krylov subspace method  
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  
AFMPB: An adaptive fast multipole, Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2010, 卷号: 181, 期号: 6, 页码: 1150-1160
作者:  Lu, Benzhuo;  Cheng, Xiaolin;  Huang, Jingfang;  McCammon, J. Andrew
收藏  |  浏览/下载:175/0  |  提交时间:2018/07/30
Poisson-Boltzmann equation  Boundary integral equation  Node-patch method  Krylov subspace methods  Fast multipole methods  Diagonal translations