Numerical approximation of the conservative Allen-Cahn equation by operator splitting method

Comparison study of numerical methods for solving the Allen–Cahn equation

(2016) Darae Jeong et al.   COMPUTATIONAL MATERIALS SCIENCE

Investigations on several numerical methods for the non-local Allen–Cahn equation

(2015) Shuying Zhai et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

Fourier spectral methods for fractional-in-space reaction-diffusion equations

(2014) Alfonso Bueno-Orovio et al.   BIT NUMERICAL MATHEMATICS

Numerical simulation of the three dimensional Allen–Cahn equation by the high-order compact ADI method

(2014) Shuying Zhai et al.   COMPUTER PHYSICS COMMUNICATIONS

Second order schemes and time-step adaptivity for Allen–Cahn and Cahn–Hilliard models

(2014) Francisco Guillén-González et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Convergence of a mass conserving Allen–Cahn equation whose Lagrange multiplier is nonlocal and local

(2014) Matthieu Alfaro et al.   INTERFACES AND FREE BOUNDARIES

A conservative Allen–Cahn equation with a space–time dependent Lagrange multiplier

(2014) Junseok Kim et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Global dynamics of boundary droplets

(2013) Peter W. Bates et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Mass conserving Allen–Cahn equation and volume preserving mean curvature flow

(2011) Xinfu Chen et al.   INTERFACES AND FREE BOUNDARIES

Computationally efficient solution to the Cahn–Hilliard equation: Adaptive implicit time schemes, mesh sensitivity analysis and the 3D isoperimetric problem

(2011) Olga Wodo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A modified phase field approximation for mean curvature flow with conservation of the volume

(2011) M. Brassel et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

An unconditionally gradient stable numerical method for solving the Allen–Cahn equation

(2009) Jeong-Whan Choi et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

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

A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting

(2008) J.A. Dobrosotskaya et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING