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An α-robust fast algorithm for distributed-order time–space fractional diffusion equation with weakly singular solution Journal article
Sun, Lu Yao, Lei, Siu Long, Sun, Hai Wei, Zhang, Jia Li. An α-robust fast algorithm for distributed-order time–space fractional diffusion equation with weakly singular solution[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 207, 437-452.
Authors:  Sun, Lu Yao;  Lei, Siu Long;  Sun, Hai Wei;  Zhang, Jia Li
Favorite | TC[WOS]:0 TC[Scopus]:1  IF:4.4/3.6 | Submit date：2023/02/28
Distributed-order Time–space Fractional Equation  Singularity  Sine Transform Based Preconditioner  Exponential-sum-approximation Method  Α-robust  
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  
Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations Journal article
Zhang, Jia Li, Fang, Zhi Wei, Sun, Hai Wei. Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations[J]. Numerical Mathematics, 2022, 15(1), 200-226.
Authors:  Zhang, Jia Li;  Fang, Zhi Wei;  Sun, Hai Wei
Favorite | TC[WOS]:9 TC[Scopus]:9  IF:1.9/1.3 | Submit date：2022/05/17
Convergence  Exponential-sum-approximation Method  Fast Algorithm  Stability  Time-fractional Sub-diffusion Equation  Variable-order Caputo Fractional Derivative  
Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations Journal article
Chou, Lot Kei, Lei, Siu Long. Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations[J]. Computers and Mathematics with Applications, 2021, 89, 116-126.
Authors:  Chou, Lot Kei;  Lei, Siu Long
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:2.9/2.6 | Submit date：2021/12/07
Alternating Direction Implicit Scheme  Distributed-order  Finite Volume Approximation  High Dimensional  Tensor-train Format  
A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation Journal article
Pang, Hong Kui, Sun, Hai Wei. A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation[J]. Journal of Scientific Computing, 2021, 87(1), 15.
Authors:  Pang, Hong Kui;  Sun, Hai Wei
Favorite | TC[WOS]:11 TC[Scopus]:11  IF:2.8/2.7 | Submit date：2021/12/07
Fractional Derivative Of Variable-order  Finite Difference Method  Polynomial Interpolation  Low-rank Approximation  Stability And Convergence  
A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations Journal article
Fang,Zhi Wei, Sun,Hai Wei, Wang,Hong. A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations[J]. Computers and Mathematics with Applications, 2020, 80(5), 1443-1458.
Authors:  Fang,Zhi Wei;  Sun,Hai Wei;  Wang,Hong
Favorite | TC[WOS]:43 TC[Scopus]:46  IF:2.9/2.6 | Submit date：2021/03/09
Fast And Memory-saving Algorithm  Shifted Binary Block Partition  Time-fractional Diffusion Equations  Uniform Polynomial Approximation  Variable-order Caputo Fractional Derivative  
Reconstruction of analytic signal in Sobolev space by framelet sampling approximation Journal article
Li, Youfa, Qian, Tao. Reconstruction of analytic signal in Sobolev space by framelet sampling approximation[J]. APPLICABLE ANALYSIS, 2018, 97(2), 194-209.
Authors:  Li, Youfa;  Qian, Tao
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:1.1/1.1 | Submit date：2018/10/30
Analytic Signal  Dual Framelets  Sobolev Space  Adjustable Sampling System  Approximation Order  Dnumerical Singularity  
Adaptive Fourier tester for statistical estimation Journal article
Qiuhui Chen, Tao Qian, Yuan Li, Weixiong Mai, Xingfa Zhang. Adaptive Fourier tester for statistical estimation[J]. Mathematical Methods in the Applied Sciences, 2016, 39(12), 3478-3495.
Authors:  Qiuhui Chen;  Tao Qian;  Yuan Li;  Weixiong Mai;  Xingfa Zhang
Favorite | TC[WOS]:5 TC[Scopus]:5 | Submit date：2019/02/11
Adaptive  Approximation Order  Cayley Transform  Hardy Space  Tm Estimator  
Fourth order finite difference schemes for time-space fractional sub-diffusion equations Journal article
Pang,Hong Kui, Sun,Hai Wei. Fourth order finite difference schemes for time-space fractional sub-diffusion equations[J]. Computers and Mathematics with Applications, 2016, 71(6), 1287-1302.
Authors:  Pang,Hong Kui;  Sun,Hai Wei
Favorite | TC[WOS]:31 TC[Scopus]:32 | Submit date：2019/05/27
Convergence  Fourth Order Finite-difference Approximation  Fractional Derivative  L1 Approximation  Stability  Time-space Fractional Sub-diffusion Equations