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
    1. Weak maximum principle of finite element methods for parabolic equations in polygonal domains (PDF)
    2. Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. (PDF)
    3. Maximal regularity of multistep fully discrete finite element methods for parabolic equations (PDF)
    4. Maximal regularity of fully discrete finite element solutions of parabolic equations (PDF)
    5. A-stable time discretizations preserve maximal parabolic regularity (PDF)
    6. Discrete maximal regularity of time-stepping schemes for fractional evolution equations (PDF)
    7. Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity (PDF)
    8. Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations (PDF)
    9. Maximum norm analysis of implicit-explicit backward difference formulae for nonlinear parabolic equations (PDF)
    10. Maximal regularity of BDF methods for evolving surface PDEs and its application to nonlinear problems (PDF)

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