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 ▼

    1. An unfiltered low-regularity integrator for the KdV equation with solutions below H1 (PDF)

    2. Numerical approximation of discontinuous solutions of the semilinear wave equation (PDF)

    3. A new second-order low-regularity integrator for the cubic nonlinear Schrödinger equation (PDF)

    4. A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation (PDF)

    5. A semi-implicit exponential low-regularity integrator for the Navier-Stokes equations (PDF)

    6. A constructive low-regularity integrator for the 1d cubic nonlinear Schrödinger equation under the Neumann boundary condition (PDF)

    7. A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation (PDF)

  • 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 ▼

  • 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).