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A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains Journal article
Applied Numerical Mathematics, 2021,Volume: 169,Page: 289-302
Authors:  Huang, Xin;  Sun, Hai Wei
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2021/12/08
Gmres Method  Penalization  Riesz Fractional Derivative  Sine Transform Based Preconditioner  Toeplitz Matrix  
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations Journal article
Journal of Applied Mathematics and Computing, 2021,Volume: 66,Issue: 1-2,Page: 673–700
Authors:  Lu,Xin;  Fang,Zhi Wei;  Sun,Hai Wei
Favorite |  | TC[WOS]:1 TC[Scopus]:1 | Submit date:2021/03/09
Gmres Method  Riesz Space Fractional Diffusion Equations  Shifted Grünwald Discretization  Sine-transform-based Splitting Preconditioner  Symmetric Positive Definite Toeplitz Matrix  
A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg–Landau equations Journal article
Journal of Computational and Applied Mathematics, 2021,Volume: 389
Authors:  Zhang,Qifeng;  Zhang,Lu;  Sun,Hai wei
Favorite |  | TC[WOS]:9 TC[Scopus]:7 | Submit date:2021/03/09
Boundedness  Circulant Preconditioner  Crank–nicolson Scheme  Space Fractional Ginzburg–landau Equation  
Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations Journal article
Computers and Mathematics with Applications, 2021,Volume: 85,Page: 18-29
Authors:  Pang,Hong Kui;  Qin,Hai Hua;  Sun,Hai Wei;  Ma,Ting Ting
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Circulant-based Preconditioner  Decay Property  Finite Difference Method  Fractional Diffusion Equation  Toeplitz-like  
Point-block incomplete LU preconditioning with asynchronous iterations on GPU for multiphysics problems Journal article
International Journal of High Performance Computing Applications, 2021,Volume: 35,Issue: 2,Page: 121-135
Authors:  enpeng Ma;  Xiao-Chuan Cai
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Asynchronous Iteration  Gpu Architecture  Inexact Ilu Preconditioning  Multiphysics Problems  Point-block Matrix  
Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian Journal article
Mathematical Methods in the Applied Sciences, 2021,Volume: 44,Issue: 1,Page: 441-463
Authors:  Gu,Xian Ming;  Sun,Hai Wei;  Zhang,Yanzhi;  Zhao,Yong Liang
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Caputo Derivative  Circulant Preconditioner  Fractional Diffusion Equations  Integral Fractional Laplacian  Krylov Subspace Solvers  
A multilayer nonlinear elimination preconditioned inexact Newton method for steady-state incompressible flow problems in three dimensions Journal article
SIAM Journal on Scientific Computing, 2020,Volume: 42,Issue: 6,Page: B1404-B1428
Authors:  LI LUO;  XIAO-CHUAN CAI;  ZHENGZHENG YAN;  LEI XU;  DAVID E. KEYES
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Domain Decomposition  Inexact Newton  Lid-driven Cavity Flow At High Reynolds Numbers  Multilayer Preconditioning  Parallel Processing  Steady-state Incompressible Flow  
A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations Journal article
Linear and Multilinear Algebra, 2020
Authors:  Huang,Xin;  Fang,Zhi Wei;  Sun,Hai Wei;  Zhang,Chun Hua
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Circulant Preconditioner  Distributed-order  Preconditioned Conjugated Gradient Method  Space-fractional Diffusion Equations  
A geometric Gauss–Newton method for least squares inverse eigenvalue problems Journal article
BIT Numerical Mathematics, 2020,Volume: 60,Issue: 3,Page: 825-852
Authors:  Yao,Teng Teng;  Bai,Zheng Jian;  Jin,Xiao Qing;  Zhao,Zhi
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Geometric Gauss–newton Method  Parameterized Least Squares Inverse Eigenvalue Problem  Preconditioner  
A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations Journal article
Journal of Computational and Applied Mathematics, 2020,Volume: 392
Authors:  Xiaomao Deng;  Zi-Ju Liao;  Xiao-Chuan Cai
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
Domain Decomposition  Inverse Problems  Parallel Computing  Source Identification