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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]:6 TC[Scopus]:9 | 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  
A Semi-Supervised Fault Diagnosis Framework for a Gearbox Based on Generative Adversarial Nets Conference paper
2018 IEEE 8th International Conference on Underwater System Technology: Theory and Application, USYS 2018
Authors:  Liang,Pengfei;  Deng,Chao;  Wu,Jun;  Yang,Zhixin;  Wang,Yuanhang
Favorite |  | TC[WOS]:0 TC[Scopus]:2 | Submit date:2021/03/11
fast Fourier transform  Fault diagnosis  gearbox  generative adversarial nets  semi-supervised  
Fast solution algorithms for exponentially tempered fractional diffusion equations Journal article
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018,Volume: 34,Issue: 4,Page: 1301-1323
Authors:  Lei, Siu-Long;  Fan, Daoying;  Chen, Xu
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2018/10/30
Circulant And skew-Circulant Representation Of Toeplitz Inversion  Circulant Preconditioner  Fast Fourier Transform  Tempered Fractional Diffusion Equations  Toeplitz Matrix  
Fast solution algorithms for exponentially tempered fractional diffusion equations Journal article
Numerical Methods for Partial Differential Equations, 2018,Volume: 34,Issue: 4,Page: 1301-1323
Authors:  Lei,Siu Long;  Fan,Daoying;  Chen,Xu
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2021/03/11
circulant and skew-circulant representation of Toeplitz inversion  circulant preconditioner  fast Fourier transform  tempered fractional diffusion equations  Toeplitz matrix  
FFT formulations of adaptive Fourier decomposition Journal article
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017,Volume: 324,Page: 204-215
Authors:  Gao, You;  Ku, Min;  Qian, Tao;  Wang, Jianzhong
Favorite |  | TC[WOS]:8 TC[Scopus]:8 | Submit date:2018/10/30
Fast Fourier Transform  Computational Complexity  Adaptive Decomposition  Greedy Algorithm  Reproducing Kernel Hilbert Space  
A fast numerical method for block lower triangular Toeplitz with dense Toeplitz blocks system with applications to time-space fractional diffusion equations Journal article
NUMERICAL ALGORITHMS, 2017,Volume: 76,Issue: 3,Page: 605-616
Authors:  Huang, Yun-Chi;  Lei, Siu-Long
Favorite |  | TC[WOS]:11 TC[Scopus]:12 | Submit date:2018/10/30
Block Lower Triangular Toeplitz Matrix With Dense Toeplitz Blocks  Circulant-and-skew-circulant Representation Of Toeplitz Matrix Inversion  Divide-and-conquer Strategy  Fast Fourier Transform  Time-space Fractional Partial Differential Equations  
Fast ADI method for high dimensional fractional diffusion equations in conservative form with preconditioned strategy Journal article
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017,Volume: 73,Issue: 3,Page: 385-403
Authors:  Chou, Lot-Kei;  Lei, Siu-Long
Favorite |  | TC[WOS]:11 TC[Scopus]:11 | Submit date:2018/10/30
High Dimensional Two-sided Fractional Diffusion Equation  Alternating Direction Implicit Method  Approximate Inverse Preconditioner  Krylov Subspace Method  Superlinear Convergence  Fast Fourier Transform  
On CSCS-based iteration method for tempered fractional diffusion equations Journal article
Japan Journal of Industrial and Applied Mathematics, 2016,Volume: 33,Issue: 3,Page: 583-597
Authors:  Qu W.;  Lei S.-L.
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2019/02/14
Circulant And skew-Circulant Splitting Iteration  Fast Fourier Transform  Preconditioner  Tempered Fractional Diffusion Equation  Toeplitz Matrix  
On CSCS-based iteration method for tempered fractional diffusion equations Journal article
Japan Journal of Industrial and Applied Mathematics, 2016,Volume: 33,Issue: 3,Page: 583-597
Authors:  Qu,Wei;  Lei,Siu Long
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2021/03/11
Circulant and skew-circulant splitting iteration  Fast Fourier transform  Preconditioner  Tempered fractional diffusion equation  Toeplitz matrix