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

From a methodology perspective, my current research interests include (1) design, analysis and implementation of numerical solvers for PDEs and (2) data-driven and projection based dimensionality reduction techniques to reduce computational cost.

From a problem perspective, I am more interested in kinetic equations and wave equations these days.

• Computational methods for kinetic problems, wave equations, electromagnetics and other problems.

  • Development of finite element method, finite difference method, embedded boundary method
  • Structure preserving methods: asymptotic preserving method, positivity preserving method, energy stable method
  • Fast solvers and preconditioners for time-harmonic Maxwell’s equation and Helmholtz equation

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

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

Contact Information

• Email: pengzhic@ust.hk