Xiaobo Liu

MPI-DCTS, Sandtorstr. 1

39106 Magdeburg, Germany

Welcome. I am a postdoctoral researcher in the Computational Methods in Systems and Control Theory group at the Max Planck Institute for Dynamics of Complex Technical Systems, headed by Prof. Peter Benner. Previously, I was a research associate in the Numerical Linear Algebra Group at The University of Manchester, where I also completed my PhD (Sep 2018–Jun 2022) and was very fortunate to be supervised by Prof. Nicholas J. Higham.

Broadly speaking, I work on Numerical Analysis and Numerical Linear Algebra, focusing on the design, development, and analysis of numerical algorithms. I am currently a participant in research projects on:

Matrix Functions and Exponential Integrators, funded by the DFG Scientific Networks programme, 2025.
Matrix Functions and Equations, led by Prof. Awad H. Al-Mohy and funded by King Khalid University (grant RGP.1/318/45), 2024.

news

Oct 07, 2025	Our paper A scaling and recovering algorithm for the matrix \(\varphi\)-functions has been accepted for publication in SIAM J. Sci. Comput.!
Oct 02, 2025	New preprint on Mixed-precision iterative refinement for low-rank Lyapunov equations with Peter Benner.
Sep 23, 2025	The website for our f(A)bulous DFG-funded Scientific Network for Matrix Functions and Exponential Integrators is now live, thanks to Kathryn Lund.
Sep 03, 2025	I am grateful for the funding provided by ENUMATH 2025 to support my attendance and presentation of our work on Mixed-Precision Algorithms for Solving the Sylvester Matrix Equations.