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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]:0  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]:3 TC[Scopus]:3  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  
Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn–Hilliard equations Journal article
Huang, Xin, Li, Dongfang, Sun, Hai Wei. Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn–Hilliard equations[J]. APPLIED MATHEMATICS LETTERS, 2023, 138, 108510.
Authors:  Huang, Xin;  Li, Dongfang;  Sun, Hai Wei
Favorite | TC[WOS]:9 TC[Scopus]:9  IF:2.9/2.6 | Submit date：2023/05/02
Fractional Cahn–hilliard Equations  Minres Method  Preconditioner  Sav Approach  
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  
A class of preconditioner for solving the Riesz distributed-order nonlinear space-fractional diffusion equations Journal article
Yu, Jian Wei, Zhang, Chun Hua, Huang, Xin, Wang, Xiang. A class of preconditioner for solving the Riesz distributed-order nonlinear space-fractional diffusion equations[J]. Japan Journal of Industrial and Applied Mathematics, 2023, 40(1), 537-562.
Authors:  Yu, Jian Wei;  Zhang, Chun Hua;  Huang, Xin;  Wang, Xiang
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:0.7/0.7 | Submit date：2023/01/30
Circulant Preconditioner  Linear System  Nonlinear Space-fractional Diffusion Equations  Preconditioned Conjugated Gradient Method  Spectrum