Zhichao Peng

Zhichao Peng

Zhichao Peng’s Homepage

I am currently a tenure-track assistant professor in the Department of Mathematics, The Hong Kong University of Science and Technology (HKUST).

Before joining HKUST, I was a postdoc in the Department of Mathematics, Michigan State University under the supervision of Dr. Daniel Appelö and Dr. Yingda Cheng. I got my doctoral degree from Rensselaer Polytechnic Institute (RPI) under the supervision of Dr. Fengyan Li.

Research Interest

My current research interests include (1) design, analysis and implementation of numerical solvers for PDEs, (2) dimensionality reduction through data-driven model order reduction and low-rank solvers based on matrix or tensor compressions and (3) the interplay between morden dimensionality reduction techniques and classical numerical solvers.

On the problem side, I am more interested in kinetic equations especially the radiative transfer equation modeling photon and neutron transport and wave equations these days. More specifically, I work on:

  • Data driven reduced order models for kinetic equations, hyperbolic equations and other transport dominant problems

  • Low-rank numerical methods for kinetic equations

  • Fast solvers and preconditioners for kinetic equations, time-harmonic Maxwell’s equation and the Helmholtz equation

  • Structure preserving methods: asymptotic preserving method, positivity preserving method, energy stable method

During my postdoc period, I also did research in characterization and control problems for quantum computing. Believe it or not, I have performed physics experiments on real quantum devices.

Education

  • Ph.D. in Applied Mathematics, Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, United States, 08/2015-08/2020.
    Advisor: Dr. Fengyan Li

  • B.S. in Mathematics, School of Mathematical Sciences, Peking University, Beijing, China, 09/2011-07/2015

Group

  • Students

    • Ning Tang (2024-)
    • An Ping (2025-)
    • Chenxi Han (primary advisor, co-advised with Prof. Wei Su HKUST, 2025-)
    • Shuyuan Shang (2026-)
    • Meng Li (co-advisor,2023-)

  • Postdoc

    • Ningxin Liu (2025-)

Contact Information

  • Email: pengzhic@ust.hk