Highly Efficient and Accurate Numerical Schemes for the Epitaxial Thin Film Growth Models by Using the SAV Approach

The scalar auxiliary variable (SAV) approach for gradient flows

(2018) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

(2017) Xiaofeng Yang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

(2016) Xiaofeng Yang   JOURNAL OF COMPUTATIONAL PHYSICS

Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection

(2014) Zhonghua Qiao et al.   MATHEMATICS OF COMPUTATION

A Linear Iteration Algorithm for a Second-Order Energy Stable Scheme for a Thin Film Model Without Slope Selection

(2013) Wenbin Chen et al.   JOURNAL OF SCIENTIFIC COMPUTING

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

(2012) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection

(2011) Wenbin Chen et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

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

Preface

(2010) Xiaoming Wang et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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