166 citations · 902 across the 43 of their papers we have counts for
7 papers · 1 filter
Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach
Chenghua Duan, Chun Liu, Cheng Wang +1
The porous medium equation (PME) is a typical nonlinear degenerate parabolic equation. We have studied numerical methods for PME by an energetic variational approach in [C. Duan et…
Second-order semi-implicit projection methods for micromagnetics simulations
Changjian Xie, Carlos J. García-Cervera, Cheng Wang +2
Micromagnetics simulations require accurate approximation of the magnetization dynamics described by the Landau-Lifshitz-Gilbert equation, which is nonlinear, nonlocal, and has a n…
A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection
Wenbin Chen, Weijia Li, Zhiwen Luo +2
In this paper, a stabilized second order in time accurate linear exponential time differencing (ETD) scheme for the no-slope-selection thin film growth model is presented. An artif…
An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
Kelong Cheng, Cheng Wang, Steven M. Wise
In this paper we propose and analyze an energy stable numerical scheme for the square phase field crystal (SPFC) equation, a gradient flow modeling crystal dynamics at the atomic s…
A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
Kelong Cheng, Zhonghua Qiao, Cheng Wang
In this paper we propose and analyze a (temporally) third order accurate exponential time differencing (ETD) numerical scheme for the no-slope-selection (NSS) equation of the epita…
Convergence Analysis of A Second-order Semi-implicit Projection Method for Landau-Lifshitz Equation
Jingrun Chen, Cheng Wang, Changjian Xie
The numerical approximation for the Landau-Lifshitz equation, the dynamics of magnetization in a ferromagnetic material, is taken into consideration. This highly nonlinear equation…