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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A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier–Stokes equations
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A semi-implicit exponential low-regularity integrator for the Navier-Stokes equations
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Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data
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Second-order convergence of the linearly extrapolated Crank–Nicolson method for the Navier-Stokes equations with H1 initial data
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A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density
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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 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
