Buyang Li

Professor and RGC Research Fellow
Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Hong Kong
Email address:

Curriculum Vitae

Research Interests     Publication     Research Group     PhD and Postdoctoral Positions

  • Numerical methods and analysis for partial differential equations, including
  • Surface evolution under geometric flows, geometric evolution equations, PDEs on surfaces ← click here
  • Low-regularity approximation to nonlinear dispersive equations
  • Incompressible Navier–Stokes equations
    1. A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier–Stokes equations (PDF)
    2. A semi-implicit exponential low-regularity integrator for the Navier-Stokes equations (PDF)
    3. Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data (PDF)
    4. Second-order convergence of the linearly extrapolated Crank–Nicolson method for the Navier-Stokes equations with H1 initial data (PDF)
    5. A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density (PDF)
  • Semilinear parabolic equations and phase field equation
  • Interior penalty finite element methods and perfectly matched layer (PML) for the Helmholtz equation
  • Maximal Lp-regularity of time discretization methods for parabolic equations
  • Maximum-norm stability and maximal Lp-regularity of finite element methods
  • High-order approximation of singular solutions of fractional evolution equations
  • Dynamic Ginzburg–Landau superconductivity equations in nonsmooth domains
  • Time-dependent Joule heating problem (for thermistors with temperature-dependent electric conductivity (PDF)
  • Editorial boards

  • Mathematics of Computation:                 2022.2 –– present

  • SIAM Journal on Numerical Analysis:   2022.1 –– present


  • RGC Research Fellow Award 2023 (by the Hong Kong Research Grants Council).

  • The Hong Kong Mathematical Society Young Scholars Award 2022.

  • Alexander von Humboldt Research Fellowship, 2015-2016.

  • Best Paper Award for Young Scholars 2013, The Chinese Society for Computational Mathematics