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Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems 期刊论文
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2020, 卷号: 26, 页码: 26
Authors:  Wu, Shu-Lin;  Zhou, Tao
Favorite  |  View/Download:42/0  |  Submit date:2021/04/26
Parabolic PDE-constrained optimization  PinT algorithm  diagonalization technique  preconditioner  GMRES  BiCGStab  
Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 卷号: 37, 期号: 4, 页码: 4196-4218
Authors:  Lu, Kang-Ya
Favorite  |  View/Download:65/0  |  Submit date:2018/10/07
Circulant matrix  Skew-circulant matrix  Preconditioning  Spatial fractional diffusion equations  
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
Favorite  |  View/Download:69/0  |  Submit date:2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 217, 期号: 7, 页码: 3050-3068
Authors:  Ran, Yu-Hong;  Yuan, Li
Favorite  |  View/Download:42/0  |  Submit date:2018/07/30
Steady incompressible viscous flow  Block SSOR iteration method  Block LU factorization  Block diagonally dominant  Preconditioning  
Numerical study on incomplete orthogonal factorization preconditioners 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 226, 期号: 1, 页码: 22-41
Authors:  Bai, Zhong-Zhi;  Duff, Iain S.;  Yin, Jun-Feng
Favorite  |  View/Download:38/0  |  Submit date:2018/07/30
Preconditioning  Givens rotation  Incomplete orthogonal factorization  Nonsymmetric matrix  Normal equations