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
▼ ← click here
- Fluid-structure interation and moving interface problems
▼
- Low-regularity approximation to nonlinear dispersive equations
▼
- Incompressible Navier–Stokes equations
▼
- Nonlinear parabolic equations and phase field equation
▼
- Interior penalty finite element methods and perfectly matched layer (PML) for the Helmholtz equation
▼
- Maximal Lp-regularity of time discretization methods for parabolic equations
▼
- Maximum-norm stability and maximal Lp-regularity of finite element methods
▼
- High-order approximation of singular solutions of fractional evolution equations
▼
-
High-order splitting finite element methods for the subdiffusion equation with limited smoothing property
(PDF)
-
An exponential spectral method using VP means for semilinear subdiffusion equations with rough data
(PDF)
- Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data
(PDF)
- Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order
(PDF)
- Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping
(PDF)
- Subdiffusion with a time-dependent coefficient: analysis and numerical solution
(PDF)
- Time discretization of the tempered fractional Feynman-Kac equation with measure data
(PDF)
- Boundary problems for the fractional and tempered fractional operators
(PDF)
- Numerical analysis of nonlinear subdiffusion equations
(PDF)
- Correction of high-order BDF convolution quadrature for fractional evolution equation
(PDF)
- An analysis of the Crank-Nicolson method for subdiffusion
(PDF)
- Discrete maximal regularity of time-stepping schemes for fractional evolution equations
(PDF)