166 citations · 902 across the 43 of their papers we have counts for
7 papers · 1 filter
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model
Juan Zhang, Cheng Wang, Steven M. Wise +1
In this paper, two finite difference numerical schemes are proposed and analyzed for the droplet liquid film model, with a singular Leonard-Jones energy potential involved. Both fi…
Optimal error estimates of a second-order projection finite element method for magnetohydrodynamic equations
Cheng Wang, Jilu Wang, Zeyu Xia +1
In this paper, we propose and analyze a temporally second-order accurate, fully discrete finite element method for the magnetohydrodynamic (MHD) equations. A modified Crank--Nicols…
A third order BDF energy stable linear scheme for the no-slope-selection thin film model
Yonghong Hao, Qiumei Huang, Cheng Wang
In this paper we propose and analyze a (temporally) third order accurate backward differentiation formula (BDF) numerical scheme for the no-slope-selection (NSS) equation of the ep…
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
Chun Liu, Cheng Wang, Yiwei Wang
In this paper, we propose and analyze a positivity-preserving, energy stable numerical scheme for certain type reaction-diffusion systems involving the Law of Mass Action with the…
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
Chun Liu, Cheng Wang, Steven M. Wise +2
In this paper we propose and analyze a finite difference numerical scheme for the Poisson-Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP model,…
A second order accurate numerical scheme for the porous medium equation by an energetic variational approach
Chenghua Duan, Wenbin Chen, Chun Liu +2
The porous medium equation (PME) is a typical nonlinear degenerate parabolic equation. An energetic variational approach has been studied in a recent work [6], in which the traject…