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
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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- Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations
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- A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data
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- Energy-decaying extrapolated RK-SAV methods for the Allen-Cahn and Cahn-Hilliard equations
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Interior penalty finite element methods and perfectly matched layer (PML) for the Helmholtz equation
Maximal Lp-regularity of time discretization methods for parabolic equations
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Maximum-norm stability and maximal Lp-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
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Mathematics of Computation: 2022.2 –– present
SIAM Journal on Numerical Analysis: 2022.1 –– present
