253 citations · 476 across the 75 of their papers we have counts for
7 papers · 1 filter
A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data
Buyang Li, Shu Ma
A variable stepsize exponential multistep integrator, with contour integral approximation of the operator-valued exponential functions, is proposed for solving semilinear parabolic…
Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations
Buyang Li, Jiang Yang, Zhi Zhou
A new class of high-order maximum principle preserving numerical methods is proposed for solving parabolic equations, with application to the semilinear Allen--Cahn equation. The p…
A convergent evolving finite element algorithm for Willmore flow of closed surfaces
Balázs Kovács, Buyang Li, Christian Lubich
A proof of convergence is given for a novel evolving surface finite element semi-discretization of Willmore flow of closed two-dimensional surfaces, and also of surface diffusion f…
A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density
Buyang Li, Weifeng Qiu, ZongZe Yang
We propose a linearized semi-implicit and decoupled finite element method for the incompressible Navier--Stokes equations with variable density. Our method is fully discrete and sh…
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation
Xiaobing Feng, Buyang Li, Shu Ma
A family of arbitrarily high-order fully discrete space-time finite element methods are proposed for the nonlinear Schrödinger equation based on the scalar auxiliary variable formu…
Maximal regularity of multistep fully discrete finite element methods for parabolic equations
Buyang Li
This article extends the semidiscrete maximal -regularity results in [27] to multistep fully discrete finite element methods for parabolic equations with more general diffusio…
Subdiffusion with Time-Dependent Coefficients: Improved Regularity and Second-Order Time Stepping
Bangti Jin, Buyang Li, Zhi Zhou
This article concerns second-order time discretization of subdiffusion equations with time-dependent diffusion coefficients. High-order differentiability and regularity estimates a…