DEPARTMENT OF APPLIED MATHEMATICS 85 Email buyang.li@polyu.edu.hk Qualification MSc (City University of Hong Kong) MPhil (City University of Hong Kong) PhD (City University of Hong Kong) ORCID ID 0000-0001-7566-3464 Prof. LI Buyang Professor Research Areas Numerical methods for PDEs, stability and convergence of numerical solutions, including • Surface evolution under geometric flow, geometric evolution equations • Low-regularity approximation to nonlinear dispersive equations • Incompressible Navier–Stokes equations • Interior penalty finite element methods and perfectly matched layer (PML) for the Helmholtz equation • Analyticity, maximum-norm stability, and maximal Lp-regularity of finite element solutions to parabolic equations • Artificial boundary conditions/boundary integral equations for wave propagation in an unbounded domain • High-order approximation of fractional evolution equations • Dynamic Ginzburg-Landau superconductivity equations • Thermistors with sensitive temperature-dependent electric conductivity • Modelling and computation of sweat transport in porous textile materials Representative Publications • B. Li and S. Ma: Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data. SIAM J. Numer. Anal. 60 (2022), pp. 503–528 • B. Li and Y. Wu: A fully discrete low-regularity integrator for the 1d periodic cubic nonlinear Schrödinger equation. Numer. Math. 149 (2021), pp. 151–183 • B. Li: Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra. Math. Comp. 88 (2019), pp. 1–44 • B. Kovács, B. Li, and C. Lubich: A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numer. Math. 143 (2019), pp. 797–853 • G. Akrivis, B. Li, and D. Li: Energy-decaying extrapolated RKSAV methods for the Allen-Cahn and Cahn-Hilliard equations. SIAM J. Sci. Comput. 41 (2019), pp. A3703–A3727
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