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

  • Fluid-structure interation and moving interface problems ▼

  • Low-regularity approximation to nonlinear dispersive equations ▼

  • Incompressible Navier–Stokes equations ▼

  • Nonlinear 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 ▼

    1. Weak maximum principle of finite element methods for parabolic equations in polygonal domains (PDF)

    2. Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra. (PDF)

    3. Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh (PDF)

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

    5. Analyticity, maximal regularity and maximum-norm stability of FEM for parabolic equations in nonconvex polyhedra (PDF)

    6. Maximal Lp error analysis of FEMs for nonlinear parabolic equations with nonsmooth coefficients (PDF)

    7. Maximal Lp analysis of FEM for parabolic equations with nonsmooth coefficients in convex polyhedra (PDF)

    8. Maximum-norm stability and maximal Lp regularity of FEMs for parabolic equations with Lipschitz continuous coefficients (PDF)

  • 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

  • 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, “Conference on Mathematics of Wave Phenomena 2027”, 4–8 October 2027, Karlsruhe, Germany.

  • Plenary Speaker, “Scientific Computing and Differential Equations (SciCADE) 2026 ”, 29 June – 3 July 2026, Edinburgh, United Kingdom.

  • Plenary Speaker, “2025 International Congress of Chinese Mathematicians (ICCM)”, 3–8 January 2026, Shanghai, China.

  • Plenary Speaker, “2025 International Congress of Basic Science”, 13–26 July 2025, Beijing, China.

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

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

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

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

    Recognitions and Fellowships

  • Distinguished Visiting Professor 2025, Academy of Mathematics and Systems Science, Chinese Academy of Sciences.

  • NSFC Young Scientist Scheme (Type A) 2025 (国家杰出青年科学基金项目).

  • President's Award for Outstanding Achievement 2023 (Hong Kong PolyU, 校长特设杰出成就奖).

  • Research Grants Council Research Fellow Award 2023 (香港研资局研究学者奖).

  • The Hong Kong Mathematical Society Young Scholars Award 2022 (香港数学会青年学者奖).

  • 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).