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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]:4 TC[Scopus]:5 | 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
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
Circulant-based preconditioner  Decay property  Finite difference method  Fractional diffusion equation  Toeplitz-like  
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 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  
An optimal preconditioner for tensor equations involving Einstein product Journal article
Linear and Multilinear Algebra, 2020,Volume: 68,Issue: 5,Page: 886-902
Authors:  Xie,Ze Jia;  Jin,Xiao Qing;  Sin,Vai Kuong
Favorite |  | TC[WOS]:4 TC[Scopus]:4 | Submit date:2021/03/09
15A69  65F08  circulant tensor  optimal preconditioner  Ren-Cang Li  Tensor  tensor equation  Toeplitz tensor  
Speeding up SimRank computations by polynomial preconditioners Journal article
Applied Numerical Mathematics, 2020,Volume: 153,Page: 147-163
Authors:  Sio Wan Ng;  Siu-Long Lei;  Juan Lu;  Zhiguo Gong
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Graph  Linear System  Matrix  Polynomial Preconditioner  Simrank  
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  
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  
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations Journal article
Journal of Applied Mathematics and Computing, 2020
Authors:  Lu,Xin;  Fang,Zhi Wei;  Sun,Hai Wei
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GMRES method  Riesz space fractional diffusion equations  Shifted Grünwald discretization  Sine-transform-based splitting preconditioner  Symmetric positive definite Toeplitz matrix  
Tensor-Train Format Solution with Preconditioned Iterative Method for High Dimensional Time-Dependent Space-Fractional Diffusion Equations with Error Analysis Journal article
Journal of Scientific Computing, 2019,Volume: 80,Issue: 3,Page: 1731-1763
Authors:  Chou,Lot Kei;  Lei,Siu Long
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2021/03/11
High dimensional fractional diffusion equation  Krylov subspace method  Preconditioner  Tensor-Train decomposition