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A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations Journal article
Journal of Computational and Applied Mathematics, 2021,Volume: 392
Authors:  Deng,Xiaomao;  Liao,Zi Ju;  Cai,Xiao Chuan
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Domain decomposition  Inverse problems  Parallel computing  Source identification  
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
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Boundedness  Circulant preconditioner  Crank–Nicolson scheme  Space fractional Ginzburg–Landau equation  
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:  Ma,Wenpeng;  Cai,Xiao Chuan
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asynchronous iteration  GPU architecture  inexact ILU preconditioning  multiphysics problems  Point-block matrix  
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  
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 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  
Speeding up SimRank computations by polynomial preconditioners Journal article
Applied Numerical Mathematics, 2020,Volume: 153,Page: 147-163
Authors:  Ng,Sio Wan;  Lei,Siu Long;  Lu,Juan;  Gong,Zhiguo
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Graph  Linear system  Matrix  Polynomial preconditioner  SimRank  
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:  Luo,Li;  Liu,Lulu;  Cai,Xiao Chuan;  Keyes,David E.
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Discontinuous Galerkin  Inexact Newton  Parallel scalability  Two-level domain decomposition  Two-phase flow in porous media  Unstructured grid  
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
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15A69  65F08  circulant tensor  optimal preconditioner  Ren-Cang Li  Tensor  tensor equation  Toeplitz tensor  
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