A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation. - Xue-lei Lin; Xin Lu; Michael K. Ng 001; Hai-Wei Sun (J. Comput. Phys., 2016)

A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations. - Xue-lei Lin; Michael K. Ng 001; Hai-Wei Sun (J. Comput. Phys., 2017)

A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations. - Xue-lei Lin; Michael K. Ng 001; Hai-Wei Sun (SIAM J. Matrix Anal. Appl., 2017)

Stability and Convergence Analysis of Finite Difference Schemes for Time-Dependent Space-Fractional Diffusion Equations with Variable Diffusion Coefficients. - Xue-lei Lin; Michael K. Ng 001; Hai-Wei Sun (J. Sci. Comput., 2018)

A fast solver for multidimensional time-space fractional diffusion equation with variable coefficients. - Xue-lei Lin; Michael K. Ng 001 (Comput. Math. Appl., 2019)

Crank-Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients. - Xue-lei Lin; Michael K. Ng 001; Hai-Wei Sun (SIAM J. Numer. Anal., 2019)

Tensor Factorization with Total Variation and Tikhonov Regularization for Low-Rank Tensor Completion in Imaging Data. - Xue-Lei Lin; Michael K. Ng 001; Xi-Le Zhao (J. Math. Imaging Vis., 2020)

Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations. - Xin Huang; Xue-Lei Lin; Michael K. Ng 001; Hai-Wei Sun (CoRR, 2021)

A Parallel-in-Time Preconditioner for the Schur Complement of Parabolic Optimal Control Problems. - Xue-Lei Lin; Zhimin Zhang (CoRR, 2021)

A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel. - Xue-lei Lin; Michael K. Ng 001; Yajing Zhi (J. Comput. Phys., 2021)

Image Completion and Blind Deconvolution: Model and Algorithm. - Xue-lei Lin; Michael K. Ng 001 (J. Sci. Comput., 2021)

Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations. - Zhi-Wei Fang; Xue-Lei Lin; Michael K. Ng 001; Hai-Wei Sun (Numerische Mathematik, 2021)

An All-at-Once Preconditioner for Evolutionary Partial Differential Equations. - Xue-lei Lin; Michael Ng 001 (SIAM J. Sci. Comput., 2021)

An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model. - Chun-Hua Zhang; Guang-Ze Chen; Zhi-Wei Fang; Xue-lei Lin; Hai-Wei Sun (J. Comput. Appl. Math., 2022)

A block α-circulant based preconditioned MINRES method for wave equations. - Xue-lei Lin; Sean Y. Hon (CoRR, 2023)

A τ-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation. - Xue-lei Lin; Xin Huang; Michael K. Ng 001; Hai-Wei Sun (Numer. Algorithms, 2023)

A single-sided all-at-once preconditioning for linear system from a non-local evolutionary equation with weakly singular kernels. - Xue-Lei Lin; Jiamei Dong; Sean Y. Hon (Comput. Math. Appl., 2024)

An optimal parallel-in-time preconditioner for parabolic optimal control problems. - Sean Y. Hon; Po Yin Fung; Xue-lei Lin (CoRR, 2024)

A parallel-in-time preconditioner for Crank-Nicolson discretization of a parabolic optimal control problem. - Xue-Lei Lin; Shu-Lin Wu (J. Comput. Appl. Math., 2024)

Multi-order graph clustering with adaptive node-level weight learning. - Ye Liu 014; Xuelei Lin; Yejia Chen; Reynold Cheng (Pattern Recognit., 2024)

A τ-Preconditioner for Space Fractional Diffusion Equation with Non-separable Variable Coefficients. - Xue-Lei Lin; Michael K. Ng 001 (J. Sci. Comput., 2024)

A Preconditioned MINRES Method for Block Lower Triangular Toeplitz Systems. - Congcong Li; Xuelei Lin; Sean Y. Hon; Shu-Lin Wu (J. Sci. Comput., 2024)

A Fast Iterative Solver for Multidimensional Spatial Fractional Cahn-Hilliard Equations. - Xin Huang; Dongfang Li; Xuelei Lin; Hai-Wei Sun (J. Sci. Comput., 2025)

Hermitian Quaternion Toeplitz Matrices by Quaternion-valued Generating Functions. - Xue-lei Lin; Michael K. Ng 001; Junjun Pan (CoRR, 2025)

An Efficient Preconditioner for Evolutionary Partial Differential Equations with θ-Method in Time Discretization. - Yuan-Yuan Huang; Po Yin Fung; Sean Y. Hon; Xue-Lei Lin (J. Sci. Comput., 2025)

Absolute-Value Based Preconditioner for Complex-Shifted Laplacian Systems. - Xuelei Lin; Congcong Li; Sean Y. Hon (J. Sci. Comput., 2025)