Document

Buyang Li

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

Curriculum Vitae

Research Interests     Publication     Research Group     PhD, Postdoc and Visiting Scholar 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 ▼

  • 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 ▼

    1. Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data (PDF)

    2. Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order (PDF)

    3. Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping (PDF)

    4. Subdiffusion with a time-dependent coefficient: analysis and numerical solution (PDF)

    5. Time discretization of the tempered fractional Feynman-Kac equation with measure data (PDF)

    6. Boundary problems for the fractional and tempered fractional operators (PDF)

    7. Numerical analysis of nonlinear subdiffusion equations (PDF)

    8. Correction of high-order BDF convolution quadrature for fractional evolution equation (PDF)

    9. An analysis of the Crank-Nicolson method for subdiffusion (PDF)

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

  • Dynamic Ginzburg–Landau superconductivity equations in nonsmooth domains
  • Time-dependent Joule heating problem (for thermistors with temperature-dependent electric conductivity (PDF)

    • Editorial boards

  • Numerische Mathematik:                        2024.5 –– present

  • IMA Journal of Numerical Analysis:      2023.2 –– present

  • Mathematics of Computation:                 2022.2 –– present

  • SIAM Journal on Numerical Analysis:   2022.1 –– present

    Plenary speakers in conferences

  • Plenary Speaker, “30th Biennial Numerical Analysis Conference”, Glasgow, UK, 24–27 June 2025.

  • Plenary Speaker, “Free Boundary Problems: Theory & Applications”, João Pessoa, Brazil, 26–30 August 2024.

  • Plenary Speaker, “Frontiers in Applied Mathematics”, City University of Hong Kong, Hong Kong, 22–23 August 2024.

  •      (for the celebration of 30th anniversary of CityU)

  • Plenary Speaker, “2024 International Congress of Basic Science”, Beijing, 14­–26 July 2024.

  •      (Organizers: Caucher Birkar, Nicolai Reshitikhin, Shing-­Tung Yau)

    Awards and Fellowships

  • President's Award for Outstanding Achievement 2023 (Hong Kong PolyU).

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

  • The Hong Kong Mathematical Society Young Scholars Award 2022.

  • Departmental Best Paper Award 2022 (Department of Applied Mathematics, Hong Kong PolyU).

  • 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).