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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Low-regularity approximation to nonlinear dispersive equations
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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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Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh (
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Maximal regularity of multistep fully discrete finite element methods for parabolic equations (
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Analyticity, maximal regularity and maximum-norm stability of FEM for parabolic equations in nonconvex polyhedra (
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Maximal L
p
error analysis of FEMs for nonlinear parabolic equations with nonsmooth coefficients (
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Maximal L
p
analysis of FEM for parabolic equations with nonsmooth coefficients in convex polyhedra (
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Maximum-norm stability and maximal L
p
regularity of FEMs for parabolic equations with Lipschitz continuous coefficients (
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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 (
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Editorial boards
Mathematics of Computation: 2022.2 –– present
SIAM Journal on Numerical Analysis: 2022.1 –– present