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Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations Journal article
Numerische Mathematik, 2021,Volume: 147,Issue: 3,Page: 651-677
Authors:  Fang,Zhi Wei;  Lin,Xue Lei;  Ng,Michael K.;  Sun,Hai Wei
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
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
Favorite |  | TC[WOS]:1 TC[Scopus]:2 | Submit date:2021/03/09
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
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
Domain Decomposition  Inexact Newton  Lid-driven Cavity Flow At High Reynolds Numbers  Multilayer Preconditioning  Parallel Processing  Steady-state Incompressible Flow  
A parallel non-nested two-level domain decomposition method for simulating blood flows in cerebral artery of stroke patient Journal article
International Journal for Numerical Methods in Biomedical Engineering, 2020,Volume: 36,Issue: 11
Authors:  Rongliang Chen;  Bokai Wu;  Zaiheng Cheng;  Wen-Shin Shiu;  Jia Liu;  Liping Liu;  Yongjun Wang;  Xinhong Wang;  Xiao-Chuan Cai
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Domain Decomposition Method  Finite Element On Unstructured Meshes  Full Cerebral Artery With Stenosis  Fully Implicit Method  Non-nested Coarse Space  Parallel Processing  
A new preconditioned SOR method for solving multi-linear systems with an M -tensor Journal article
Calcolo, 2020,Volume: 57,Issue: 2
Authors:  Liu,Dongdong;  Li,Wen;  Vong,Seak Weng
Favorite |  | TC[WOS]:3 TC[Scopus]:4 | Submit date:2021/03/09
Multi-linear system  Preconditioned method  SOR method  Stong M-tensor  Tensor splitting algorithm  
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids Journal article
Journal of Computational Physics, 2020,Volume: 409
Authors:  Li Luo;  Lulu Liu;  Xiao-Chuan Cai;  David E. Keyes
Favorite |  | TC[WOS]:3 TC[Scopus]:4 | Submit date:2021/03/09
Discontinuous Galerkin  Inexact Newton  Parallel Scalability  Two-level Domain Decomposition  Two-phase Flow In Porous Media  Unstructured Grid  
A fast preconditioned iterative method for two-dimensional options pricing under fractional differential models Journal article
Computers and Mathematics with Applications, 2020,Volume: 79,Issue: 2,Page: 440-456
Authors:  Chen,Xu;  Ding,Deng;  Lei,Siu Long;  Wang,Wenfei
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Finite difference method  Finite moment log stable model  Preconditioner  Rainbow options pricing  Two-dimensional fractional partial differential equation  
Circulant preconditioners for a kind of spatial fractional diffusion equations Journal article
Numerical Algorithms, 2019,Volume: 82,Issue: 2,Page: 729-747
Authors:  Zhi-Wei Fang;  Michael K. Ng;  Hai-Wei Sun
Favorite |  | TC[WOS]:5 TC[Scopus]:7 | Submit date:2019/08/09
Fractional Diffusion Equation  Fast Fourier Transform  Krylov Subspace Methods  Toeplitz Matrix  Circulant Preconditioner  
An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients Journal article
International Journal of Computer Mathematics, 2019,Volume: 97,Issue: 3,Page: 523-545
Authors:  Fang,Zhi Wei;  Sun,Hai Wei;  Wei,Hui Qin
Favorite |  | TC[WOS]:1 TC[Scopus]:1 | Submit date:2019/05/27
Approximate Inverse  Circulant Matrix  Fast Fourier Transform  Fractional Diffusion Equation  Krylov Subspace Methods  Piecewise Continuous Coefficients  Toeplitz Matrix  
Comparison results for splitting iterations for solving multi-linear systems Journal article
APPLIED NUMERICAL MATHEMATICS, 2018,Volume: 134,Page: 105-121
Authors:  Li, Wen;  Liu, Dongdong;  Vong, Seak-Weng
Favorite |  | TC[WOS]:18 TC[Scopus]:18 | Submit date:2018/10/30
Comparison Theorem  Tensor Splitting  Spectral Radius  Multi-linear Systems  Preconditioned Methods