Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models

An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

(2012) Zhengru Zhang et al.   Communications in Computational Physics

Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

(2011) Hector Gomez et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model

(2011) Zhonghua Qiao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models

(2011) Zhonghua Qiao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

(2010) Jie Shen et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

(2010) Jie Shen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Error analysis of stabilized semi-implicit method of Allen-Cahn equation

(2009) Xiaofeng Yang   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

(2009) Z. Hu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

(2009) S. M. Wise et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit

(2009) Jian Zhang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING