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Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations Journal article
Applied Mathematics and Computation, 2022,Volume: 431
Authors:  Wang, Zhi;  Ge, Yongbin;  Sun, Hai Wei;  Sun, Tao
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/08/02
Global Sixth-order Accuracy  Helmholtz Equation  Quasi-compact Finite Difference  Variable Parameter  
Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions Journal article
Applied Mathematics and Computation, 2022,Volume: 430
Authors:  Zhang, Jiali;  Fang, Zhi Wei;  Sun, Hai Wei
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/06/13
Exponential-sum-approximation Method  Fast Algorithm  Variable-order Caputo Fractional Derivative  
A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations Journal article
Linear and Multilinear Algebra, 2022
Authors:  Huang,Xin;  Fang,Zhi Wei;  Sun,Hai Wei;  Zhang,Chun Hua
Favorite |  | TC[WOS]:5 TC[Scopus]:5 | Submit date:2021/03/09
Circulant Preconditioner  Distributed-order  Preconditioned Conjugated Gradient Method  Space-fractional Diffusion Equations  
Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations Journal article
Journal of Scientific Computing, 2022,Volume: 92,Issue: 2
Authors:  Huang, Xin;  Li, Dongfang;  Sun, Hai Wei;  Zhang, Fan
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/08/02
Conjugate Gradient Method  Fast Algorithm  Fractional Cahn-hilliard  Sine Transform Based Preconditioner  Toeplitz-like  
A stabilized fully-discrete scheme for phase field crystal equation Journal article
Applied Numerical Mathematics, 2022,Volume: 178,Page: 337-355
Authors:  Zhang, Fan;  Li, Dongfang;  Sun, Hai Wei;  Zhang, Jia Li
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/05/13
Compact Difference Scheme  Crank-nicolson/adams-bashforth Scheme  Energy Stability  Error Estimate  Phase Field Crystal Equation  
A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations Journal article
Applied Mathematics and Computation, 2022,Volume: 425
Authors:  Sun, Lu Yao;  Fang, Zhi Wei;  Lei, Siu Long;  Sun, Hai Wei;  Zhang, Jia Li
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | 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  
Second-order maximum principle preserving Strang’s splitting schemes for anisotropic fractional Allen-Cahn equations Journal article
Numerical Algorithms, 2022,Volume: 90,Issue: 2,Page: 749-771
Authors:  Chen, Hao;  Sun, Hai Wei
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/05/13
Discrete Maximum Principle  Fractional Allen-cahn Equation  Matrix Exponential  Operator Splitting Method  Toeplitz Matrix  
All-at-once method for variable-order time fractional diffusion equations Journal article
Numerical Algorithms, 2022,Volume: 90,Issue: 1,Page: 31-57
Authors:  Pang, Hong Kui;  Qin, Hai Hua;  Sun, Hai Wei
Favorite |  | TC[WOS]:1 TC[Scopus]:1 | Submit date:2022/05/13
All-at-once  Divide-and-conquer  Finite Difference Method  Low-rank  Polynomial Interpolation  Vo Time Fractional Derivative  
Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers’ equation Journal article
Applied Mathematics and Computation, 2022,Volume: 418
Authors:  Zhang, Qifeng;  Sun, Cuicui;  Fang, Zhi Wei;  Sun, Hai Wei
Favorite |  | TC[WOS]:1 TC[Scopus]:1 | Submit date:2022/05/04
Compact Difference Scheme  Fractional Burgers’ Equation  Pointwise Error Estimate  Reduction Order Method  
A Novel Discrete Fractional Grönwall-Type Inequality and Its Application in Pointwise-in-Time Error Estimates Journal article
Journal of Scientific Computing, 2022,Volume: 91,Issue: 1
Authors:  Li, Dongfang;  She, Mianfu;  Sun, Hai wei;  Yan, Xiaoqiang
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2022/05/04
High-order Time-stepping Methods  Modified Grönwall Inequality  Nonlinear Time-fractional Equations  Pointwise-in-time Error Estimates