Publications

Publications

1. Anderson Acceleration with Truncated Gram-Schmidt
   Z. Tang, T. Xu, H. He, Y. Saad, Y. Xi
   SIAM Journal on Matrix Analysis and Applications (2024)
   DOI: 10.1137/24M1648600
   Software: To be released.

2. 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)
   DOI: 10.1137/23M1565139
   Software: Github

3. 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)
   DOI: 10.1137/22M1501155
   Software: Github

4. 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
   DOI: 10.1016/j.parco.2022.102956
   Software: Github

5. Superconvergence of Some Linear and Quadratic Functionals for Higher-Order Finite Elements
   V. Shaydurov, and T. Xu
   Finite Difference Methods, Theory and Applications (2015)
   DOI: 10.1007/978-3-319-20239-6_8

Preprints

1. Multiscale Neural Networks for Approximating Green's Functions
   W. Hao, R. Li, Y. Xi, T. Xu, and Y. Yang
   Preprint: Arxiv (2024)
   Software: To be released.

2. A Two-level GPU-Accelerated Incomplete LU Preconditioner for General Sparse Linear Systems
   T. Xu, R. Li, and D. Osei-Kuffuor
   Preprint: Arxiv (2023)
   Software: This work is implemented within the hypre package.