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
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← click here
Low-regularity approximation to nonlinear dispersive equations
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An unfiltered low-regularity integrator for the KdV equation with solutions below H
1
(
PDF
)
A constructive low-regularity integrator for the 1D cubic nonlinear Schrödinger equation under the Neumann boundary condition (
PDF
)
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation (
PDF
)
A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation (
PDF
)
Incompressible Navier–Stokes equations
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Semilinear parabolic equations and phase field equation
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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
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Maximum-norm stability and maximal L
p
-regularity of finite element methods
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High-order approximation of singular solutions of fractional evolution equations
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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