Publications

Journal Publications

A Two-level GPU-Accelerated Incomplete LU Preconditioner for General Sparse Linear Systems
T. Xu, R. Li, and D. Osei-Kuffuor
International Journal of High Performance Computing Applications (2025)
Anderson Acceleration with Truncated Gram-Schmidt
Z. Tang, T. Xu, H. He, Y. Saad, Y. Xi
SIAM Journal on Matrix Analysis and Applications (2024)
An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices
S. Zhao, T. Xu, H. Huang, E. Chow, and Y. Xi
SIAM Journal on Scientific Computing (2024)
A Parallel Algorithm for Computing Partial Spectral Factorizations of Matrix Pencils via Chebyshev Approximation
T. Xu, A. P. Austin, V. Kalantzis, and Y. Saad
SIAM Journal on Scientific Computing (2023)
parGeMSLR: A Parallel Multilevel Schur Complement Low-Rank Preconditioning and Solution Package for General Sparse Matrices
T. Xu, V. Kalantzis, R. Li, Y. Xi, G. Dillon, and Y. Saad
Parallel Computing (2022), Vol. 113
Superconvergence of Some Linear and Quadratic Functionals for Higher-Order Finite Elements
V. Shaydurov, and T. Xu
Finite Difference Methods, Theory and Applications (2015)

Preprints

Mixed Precision Orthogonalization-Free Projection Methods for Eigenvalue and Singular Value Problems
T. Xu, Z. Zhang, J. Chen, Y. Saad, Y. Xi
arXiv:2505.00281 (2025)
Preconditioned Additive Gaussian Processes with Fourier Acceleration
T. Wagner, T. Xu, F. Nestler, Y. Xi, M. Stoll
arXiv:2504.00480v1 (2025)
HiGP: A High-Performance Python Package for Gaussian Process
H. Huang, T. Xu, Y. Xi, and E. Chow
arXiv:2503.02259 (2025)
Multiscale Neural Networks for Approximating Green's Functions
W. Hao, R. Li, Y. Xi, T. Xu, and Y. Yang
arXiv:2410.18439 (2024)

PhD Dissertation

Parallel Schur Complement Algorithms for the Solution of Sparse Linear Systems and Eigenvalue Problems
Tianshi Xu
University of Minnesota, Twin Cities (July 2023)
Advisor: Professor Yousef Saad