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A study on fractional centered difference scheme for high-dimensional integral fractional Laplacian operator with {ω}-circulant preconditioner Journal article
Chou, Lot Kei, Qu, Wei, Huang, Yuan Yuan, Lei, Siu Long. A study on fractional centered difference scheme for high-dimensional integral fractional Laplacian operator with {ω}-circulant preconditioner[J]. Mathematics and Computers in Simulation, 2025, 231, 128-143.
Authors:  Chou, Lot Kei;  Qu, Wei;  Huang, Yuan Yuan;  Lei, Siu Long
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:4.4/3.6 | Submit date：2025/01/22
High-dimensional Integral Fractional Laplacian Operator  Fractional Centered Difference  Krylov Subspace Methods  Generating Function  D-level {ω}-circulant Preconditioner  
Banded preconditioner for two-dimensional space fractional diffusion equations with nonuniform mesh Journal article
Sun, Tao, Li, Tian Yi, Sun, Hai Wei, Yang, Xiao Jia. Banded preconditioner for two-dimensional space fractional diffusion equations with nonuniform mesh[J]. Journal of Applied Mathematics and Computing, 2025.
Authors:  Sun, Tao;  Li, Tian Yi;  Sun, Hai Wei;  Yang, Xiao Jia
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:2.4/2.3 | Submit date：2025/01/22
Space-fractional Diffusion Equation  Finite Volume Method  Non-uniform Mesh  Adi Scheme  Banded Preconditioner  
Fully implicit bound-preserving discontinuous Galerkin algorithm with unstructured block preconditioners for multiphase flows in porous media Journal article
Jiali Tu, Haijian Yang, Rongliang Chen, Li Luo. Fully implicit bound-preserving discontinuous Galerkin algorithm with unstructured block preconditioners for multiphase flows in porous media[J]. Advances in Water Resources, 2024, 194, 104844.
Authors:  Jiali Tu;  Haijian Yang;  Rongliang Chen;  Li Luo
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:4.0/4.5 | Submit date：2024/08/15
Reservoir Simulation  Fully Implicit Scheme  Bound-preserving  Discontinuous Galerkin  Unstructured Block Preconditioner  Parallel Computing  
A Preconditioned Policy–Krylov Subspace Method for Fractional Partial Integro-Differential HJB Equations in Finance Journal article
Chen, Xu, Gong, Xin Xin, Sun, Youfa, Lei, Siu Long. A Preconditioned Policy–Krylov Subspace Method for Fractional Partial Integro-Differential HJB Equations in Finance[J]. Fractal and Fractional, 2024, 8(6), 316.
Authors:  Chen, Xu;  Gong, Xin Xin;  Sun, Youfa;  Lei, Siu Long
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:3.6/3.5 | Submit date：2024/07/04
American Option Pricing  Banded Preconditioner  Fractional Partial Integro-differential Equation  Stability  Stock Loan  
An aneurysm-specific preconditioning technique for the acceleration of Newton-Krylov method with application in the simulation of blood flows Journal article
Liu, Yingzhi, Qi, Fenfen, Cai, Xiao Chuan. An aneurysm-specific preconditioning technique for the acceleration of Newton-Krylov method with application in the simulation of blood flows[J]. International Journal for Numerical Methods in Biomedical Engineering, 2023, 39(12), e3771.
Authors:  Liu, Yingzhi;  Qi, Fenfen;  Cai, Xiao Chuan
Favorite | TC[WOS]:0 TC[Scopus]:1  IF:2.2/2.5 | Submit date：2024/01/02
Blood Flows In Aneurysmal Artery  Fully Implicit Finite Element  Mixed-dimensional Coarse Preconditioner  Two-level Schwarz  Unsteady Incompressible Navier–stokes Problem  
A Mixed-Type Circulant Preconditioner for a Nonlocal Elastic Model Journal article
Huang Yuan Yuan, LEI SIU LONG. A Mixed-Type Circulant Preconditioner for a Nonlocal Elastic Model[J]. East Asian Journal on Applied Mathematics, 2023, 13(4), 791-812.
Authors:  Huang Yuan Yuan;  LEI SIU LONG
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.2/1.0 | Submit date：2023/12/14
Generalized Nonlocal Elastic Model  Peridynamic  Fractional Differential Operator  Toeplitz Linear System  Circulant Preconditioner  
Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation Journal article
Zhang, Lu, Zhang, Qifeng, Sun, Hai Wei. Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation[J]. Computers and Mathematics with Applications, 2023, 150, 211-228.
Authors:  Zhang, Lu;  Zhang, Qifeng;  Sun, Hai Wei
Favorite | TC[WOS]:2 TC[Scopus]:2  IF:2.9/2.6 | Submit date：2023/12/04
Exponential Integrator  Fractional Complex Ginzburg-landau Equation  Toeplitz Matrix  τ Matrix Preconditioner  Φ-function  
A-stable high-order block implicit methods for parabolic equations Journal article
Li, Shishun, Wang, Jing Yuan, Cai, Xiao Chuan. A-stable high-order block implicit methods for parabolic equations[J]. SIAM Journal on Numerical Analysis, 2023, 61(4), 1858-1884.
Authors:  Li, Shishun;  Wang, Jing Yuan;  Cai, Xiao Chuan
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:2.8/3.5 | Submit date：2024/02/22
A-stability  Block Implicit Method  Domain Decomposition Preconditioner  Finite Element  Parabolic Problems  
On τ-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations Journal article
Yuan-Yuan Huang, Wei Qu, Siu Long Lei. On τ-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations[J]. Computers and Mathematics with Applications, 2023, 145, 124-140.
Authors:  Yuan-Yuan Huang;  Wei Qu;  Siu Long Lei
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:2.9/2.6 | Submit date：2023/08/03
Preconditioned Conjugate Gradient Method  Riesz Space-fractional Diffusion Equations  Spectral Analysis  Stability And Convergence  Τ-preconditioner  
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