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 L
p
-regularity of time discretization methods for parabolic equations
▼
Maximum-norm stability and maximal L
p
-regularity of finite element methods
▼
High-order approximation of singular solutions of fractional evolution equations
▼
Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data (
PDF
)
Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order (
PDF
)
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping (
PDF
)
Subdiffusion with a time-dependent coefficient: analysis and numerical solution (
PDF
)
Time discretization of the tempered fractional Feynman-Kac equation with measure data (
PDF
)
Boundary problems for the fractional and tempered fractional operators (
PDF
)
Numerical analysis of nonlinear subdiffusion equations (
PDF
)
Correction of high-order BDF convolution quadrature for fractional evolution equation (
PDF
)
An analysis of the Crank-Nicolson method for subdiffusion (
PDF
)
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
Mathematics of Computation: 2022.2 –– present
SIAM Journal on Numerical Analysis: 2022.1 –– present