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个人简介

教育经历 2010.09-2014.06,信息与计算科学,理学学士,宁夏大学 2014.09-2017.06,数学,理学硕士,澳门大学 2017.09-2020.11,数学,博士,香港浸会大学 科研项目 2024.01--2026.12, 国家自然科学基金, 主持 2023.01-2025.12, 深圳市新引进高精尖缺人才科研启动经费,主持 2021. 11-2023.02, 中国博士后面上资助,主持 2019.11-2021.12,国家自然科学基金,参与 专业资质与学术兼职 《美国数学评论》评论员 期刊审稿人: SIAM Journal on Scientific Computing Journal of Scientific Computing BIT Numerical Mathematics Computers & Mathematics with Applications Numerical Linear Algebra with Applications Philos. Trans. R. Soc. A Applied Mathematics Letters Fractal And Fractional International Journal of Computer Mathematics Journal of Computational and Applied Mathematics Journal of Computational Mathematics Numerical Methods for Partial Differential Equations 数值计算与计算机应用 AIMS Mathematics

研究领域

数值线性代数 偏微分方程数值解 深度学习

近期论文

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Xue-lei Lin, Xin Lu, Michael K. Ng, Hai-Wei Sun, A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation, J. Comput. Phys. 323 (2016) 204–218. Xue-lei Lin, Michael K. Ng, Hai-Wei Sun, A splitting preconditioner for Toeplitz-like linear systems arising from fractional diffusion equations, SIAM J. Matrix Anal. Appl. 38 (2017) 1580–1614. Xue-lei Lin, Michael K. Ng, Hai-Wei Sun, A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations, J. Comput. Phys. 336 (2017) 69–86. Xue-lei Lin, Michael K. Ng, Hai-Wei Sun, Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients, J. Sci. Comput. 75 (2018) 1102–1127. Xue-lei Lin, Michael K. Ng, Hai-Wei Sun, A separable preconditioner for time-space fractional Caputo-Riesz diffusion equations, Numer. Math. Theor. Meth. Appl. 11 (2018) 827–853. Xue-lei Lin, Michael K. Ng, Hai-Wei Sun, Efficient preconditioner of one-sided space fractional diffusion equation, BIT. Numerical Mathematics. 58 (2018) 729–748. Xue-lei Lin, Michael K. Ng, Hai-Wei Sun, Crank-Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Non-separable Coefficients, SIAM J. Numer. Anal. 57 (2019) 997–1019. Xue-lei Lin, Michael K. Ng, A fast solver for multidimensional time–space fractional diffusion equation with variable coefficients, Comput. Math. Appl. 78 (2019) 1477–1489. Xue-lei Lin, Michael K. Ng, Tensor Factorization with Total Variation and Tikhonov Regularization for Low-Rank Tensor Completion in Imaging Data, J. Math. Imaging Vision. 62 (2020) 900–918. Xue-lei Lin, Michael K. Ng, Andy Wathen, Preconditioners for multilevel Toeplitz linear systems from steady-state and evolutionary advection-diffusion equations, Appl. Numer. Math. 161 (2021) 469–488. Xue-lei Lin, Michael K. Ng, YaJing Zhi, A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel, J. Comput. Phys. 434 (2021) 110221. Xue-lei Lin, Michael K. Ng, An All-at-Once Preconditioner for Evolutionary Partial Differential Equations, SIAM J. Sci. Comput. 43 (2021) A2766-A2784. Xue-lei Lin, Michael K. Ng, Image Completion and Blind Deconvolution: Model and Algorithm, J. Sci. Comput. 89 (2021) 1–25 Zhi-Wei Fang, Xue-lei Lin, Michael K. Ng, Hai-Wei Sun, Preconditioning for Symmetric Positive Definite Systems in Balanced Fractional Diffusion Equations, Numer. Math. 147 (2021) 651–677. Chun-Hua Zhang, Guang-Ze Chen, Zhi-Wei Fang, Xue-lei Lin, Hai-Wei Sun An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model, J. Comput. Appl. Math. 403 (2022) 113883. Xue-lei Lin, Pin Lyu, Michael K. Ng, Hai-Wei Sun, Seakweng Vong, An Efficient Second-Order Accurate Scheme for One-Side Space Fractional Diffusion Equations with Variable Coefficients, Communications on Applied Mathematics and Computation 2 (2020) 215–239. Xue-lei Lin, Xin Huang, Michael K. Ng, Hai-Wei Sun, A τ-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation, Numer. Algorithms, 92 (2023) 795–813. Xin Huang, Xue-lei Lin, Michael K. Ng, Hai-Wei Sun, Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations, Numer. Math. Theor. Meth. Appl., 15 (2022) 565–591.

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