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Fitted L1-ADI Scheme for Improving Convergence of Two-Dimensional Delay Fractional Equations Journal article
Pan, Xiaoqing, Huang, Xiaotong, Cen, Dakang, Lei, Siu Long, Vong, Seakweng. Fitted L1-ADI Scheme for Improving Convergence of Two-Dimensional Delay Fractional Equations[J]. Communications on Applied Mathematics and Computation, 2024.
Authors:  Pan, Xiaoqing;  Huang, Xiaotong;  Cen, Dakang;  Lei, Siu Long;  Vong, Seakweng
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:1.4/0 | Submit date:2024/05/16
Cost-effective Decomposition Technique  Derivative Discontinuity  Fitted L1-adi Scheme  Two-dimensional Delay Fractional Equations  
A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems[Formula presented] Journal article
Xu,Yi, Sun,Hong Guang, Zhang,Yuhui, Sun,Hai Wei, Lin,Ji. A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems[Formula presented][J]. Computers and Mathematics with Applications, 2023, 142, 107-120.
Authors:  Xu,Yi;  Sun,Hong Guang;  Zhang,Yuhui;  Sun,Hai Wei;  Lin,Ji
Favorite | TC[WOS]:6 TC[Scopus]:7  IF:2.9/2.6 | Submit date:2023/08/03
Meshless Method  Nonlinear  Time Fractional Advection-diffusion-reaction Equation  Variable-order Fractional Derivative  
A Preconditioned Iterative Method for a Multi-State Time-Fractional Linear Complementary Problem in Option Pricing Journal article
Chen,Xu, Gong,Xinxin, Lei,Siu Long, Sun,Youfa. A Preconditioned Iterative Method for a Multi-State Time-Fractional Linear Complementary Problem in Option Pricing[J]. Fractal and Fractional, 2023, 7(4), 334.
Authors:  Chen,Xu;  Gong,Xinxin;  Lei,Siu Long;  Sun,Youfa
Favorite | TC[WOS]:2 TC[Scopus]:1  IF:3.6/3.5 | Submit date:2023/08/03
Linear Complementary Problem  Nonlinear Finite Difference Scheme  Policy Iteration Method  Preconditioner  Time-fractional Derivative  
The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method Journal article
Cen,Dakang, Vong,Seakweng. The Tracking of Derivative Discontinuities for Delay Fractional Equations Based on Fitted L1 Method[J]. Computational Methods in Applied Mathematics, 2023, 23(3), 591-601.
Authors:  Cen,Dakang;  Vong,Seakweng
Favorite | TC[WOS]:7 TC[Scopus]:7  IF:1.0/1.1 | Submit date:2023/08/03
Delay Fractional Equations  Derivative Discontinuity  Improved Regularity  
Sine transform based preconditioning techniques for space fractional diffusion equations Journal article
Qin, Hai Hua, Pang, Hong Kui, Sun, Hai Wei. Sine transform based preconditioning techniques for space fractional diffusion equations[J]. Numerical Linear Algebra with Applications, 2022, 30(4), e2474.
Authors:  Qin, Hai Hua;  Pang, Hong Kui;  Sun, Hai Wei
Favorite | TC[WOS]:3 TC[Scopus]:3  IF:1.8/1.8 | Submit date:2023/01/30
Finite Difference Method  Gmres Method  Numerical Range  Space Fractional Derivative  Toeplitz Matrix  τ Preconditioner  
Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions Journal article
Zhang, Jiali, Fang, Zhi Wei, Sun, Hai Wei. Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions[J]. Applied Mathematics and Computation, 2022, 430, 127273.
Authors:  Zhang, Jiali;  Fang, Zhi Wei;  Sun, Hai Wei
Favorite | TC[WOS]:4 TC[Scopus]:6  IF:3.5/3.1 | Submit date:2022/06/13
Exponential-sum-approximation Method  Fast Algorithm  Variable-order Caputo Fractional Derivative  
A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations Journal article
Sun, Lu Yao, Fang, Zhi Wei, Lei, Siu Long, Sun, Hai Wei, Zhang, Jia Li. A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations[J]. Applied Mathematics and Computation, 2022, 425, 127095.
Authors:  Sun, Lu Yao;  Fang, Zhi Wei;  Lei, Siu Long;  Sun, Hai Wei;  Zhang, Jia Li
Favorite | TC[WOS]:9 TC[Scopus]:11  IF:3.5/3.1 | Submit date:2022/05/13
Block-circulant-circulant-block Preconditioner  Distributed-order Fractional Derivative  Exponential-sum-approximation Method  Fast Algorithm  Stability And Convergence  Time-space Fractional Equation  
Spectral Analysis for Preconditioning of MultiDimensional Riesz Fractional Diffusion Equations Journal article
Huang, Xin, Lin, Xue Lei, Ng, Michael K., Sun, Hai Wei. Spectral Analysis for Preconditioning of MultiDimensional Riesz Fractional Diffusion Equations[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2022, 15(3), 565-591.
Authors:  Huang, Xin;  Lin, Xue Lei;  Ng, Michael K.;  Sun, Hai Wei
Favorite | TC[WOS]:25 TC[Scopus]:26  IF:1.9/1.3 | Submit date:2023/01/30
Multi-dimensional Riesz Fractional Derivative  Multi-level Toeplitz Matrix  Preconditioned Conjugate Gradient Method  Sine Transform Based Preconditioner  
All-at-once method for variable-order time fractional diffusion equations Journal article
Pang, Hong Kui, Qin, Hai Hua, Sun, Hai Wei. All-at-once method for variable-order time fractional diffusion equations[J]. Numerical Algorithms, 2022, 90(1), 31-57.
Authors:  Pang, Hong Kui;  Qin, Hai Hua;  Sun, Hai Wei
Favorite | TC[WOS]:5 TC[Scopus]:5  IF:1.7/1.9 | Submit date:2022/05/13
All-at-once  Divide-and-conquer  Finite Difference Method  Low-rank  Polynomial Interpolation  Vo Time Fractional Derivative  
High dimensional Riesz space distributed-order advection-dispersion equations with ADI scheme in compression format Journal article
Chou, L. K., Lei, S. L.. High dimensional Riesz space distributed-order advection-dispersion equations with ADI scheme in compression format[J]. Electronic Research Archive, 2022, 30(4), 1463-1476.
Authors:  Chou, L. K.;  Lei, S. L.
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.0/1.0 | Submit date:2022/07/27
High Dimension  Advection-dispersion Equations  Riesz Fractional Derivative  Distributed-order  Alternating Direction Implicit Method  Compression Format