Buyang Li (李步揚)

Associate Professor
Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Kowloon, Hong Kong
Email address: buyang.li@polyu.edu.hk
https://orcid.org/0000-0001-7566-3464

Research Interests     Publication     Research Group     PhD and Postdoc Positions available

  • 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 ▼

  • 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 ▼

    1. Maximal regularity of multistep fully discrete finite element methods for parabolic equations (PDF)

    2. Maximal regularity of fully discrete finite element solutions of parabolic equations (PDF)

    3. A-stable time discretizations preserve maximal parabolic regularity (PDF)

    4. Discrete maximal regularity of time-stepping schemes for fractional evolution equations (PDF)

    5. Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity (PDF)

    6. Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations (PDF)

    7. Maximum norm analysis of implicit-explicit backward difference formulae for nonlinear parabolic equations (PDF)

    8. Maximal regularity of BDF methods for evolving surface PDEs and its application to nonlinear problems (PDF)

  • 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

    Awards

  • 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
         (于第十二届全国高校计算数学年会).