Fourier-Spectral Method for the Phase-Field Equations

Stabilized Energy Factorization Approach for Allen–Cahn Equation with Logarithmic Flory–Huggins Potential

(2020) Xiuhua Wang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Quantitatively Inferring Three Mechanisms from the Spatiotemporal Patterns

(2020) Kang Zhang et al.   Mathematics

Nonlinear Multigrid Implementation for the Two-Dimensional Cahn–Hilliard Equation

(2020) Chaeyoung Lee et al.   Mathematics

Porous Three-Dimensional Scaffold Generation for 3D Printing

(2020) Chaeyoung Lee et al.   Mathematics

Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators

(2020) Hadrien Montanelli et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Image Segmentation Based on Modified Fractional Allen–Cahn Equation

(2019) Dongsun Lee et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

Mathematical Model and Numerical Simulation for Tissue Growth on Bioscaffolds

(2019) Hyun Geun Lee et al.   Applied Sciences-Basel

Stability Condition of the Second-Order SSP-IMEX-RK Method for the Cahn–Hilliard Equation

(2019) Hyun Geun Lee   Mathematics

Regularized linear schemes for the molecular beam epitaxy model with slope selection

(2018) Lizhen Chen et al.   APPLIED NUMERICAL MATHEMATICS

Generalization of the Fourier-spectral Eyre scheme for the phase-field equations: Application to self-assembly dynamics in materials

(2018) G. Demange et al.   COMPUTATIONAL MATERIALS SCIENCE

Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

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

Basic Principles and Practical Applications of the Cahn–Hilliard Equation

(2016) Junseok Kim et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

A semi-analytical Fourier spectral method for the Allen–Cahn equation

(2014) Hyun Geun Lee et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method

(2013) Andrew Christlieb et al.   Communications in Mathematical Sciences

A parallel multigrid method of the Cahn–Hilliard equation

(2013) Jaemin Shin et al.   COMPUTATIONAL MATERIALS SCIENCE

Phase-Field Models for Multi-Component Fluid Flows

(2012) Junseok Kim   Communications in Computational Physics

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

Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients

(2008) György Tegze et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Phase-field modeling of the formation of lamellar nanostructures in diblock copolymer thin films under inplanar electric fields

(2008) Xiang-Fa Wu et al.   PHYSICAL REVIEW E