In this paper we propose and analyze a second order accurate (in time) numerical scheme
for the square phase field crystal equation, a gradient flow modeling crystal dynamics at the …

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 …

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 …

We consider several seconder order in time stabilized semi-implicit Fourier spectral
schemes for 2D Cahn–Hilliard equations. We introduce new stabilization techniques and …

We present a second order energy stable numerical scheme for the two and three
dimensional Cahn–Hilliard equation, with Fourier pseudo-spectral approximation in space …

A second order accurate (in time) numerical scheme is analyzed for the slope-selection (SS)
equation of the epitaxial thin film growth model, with Fourier pseudo-spectral discretization …

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 …

We present an error analysis for an unconditionally energy stable, fully discrete finite
difference scheme for the Cahn-Hilliard-Hele-Shaw equation, a modified Cahn-Hilliard …

The most effective simulations of the multiphysics coupling of groundwater to surface water
must involve employing the best groundwater codes and the best surface water codes …

We present and analyze a uniquely solvable and unconditionally energy stable numerical
scheme for the ternary Cahn-Hilliard system, with a polynomial pattern nonlinear free energy …