An unconditionally gradient stable numerical method for solving the Allen–Cahn equation
Author:
Publisher
Elsevier BV
Subject
Condensed Matter Physics,Statistics and Probability
Reference21 articles.
1. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
2. Modelling phase transitions in alloys
3. Geometrical image segmentation by the Allen–Cahn equation
4. A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting
5. Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
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1. A fourth-order finite difference method for the Allen–Cahn equation;Journal of Computational and Applied Mathematics;2025-01
2. A conservative Allen–Cahn model for a hydrodynamics coupled phase-field surfactant system;Mathematics and Computers in Simulation;2024-12
3. Unconditionally maximum principle-preserving linear method for a mass-conserved Allen–Cahn model with local Lagrange multiplier;Communications in Nonlinear Science and Numerical Simulation;2024-12
4. A structure-preserving explicit numerical scheme for the Allen–Cahn equation with a logarithmic potential;Journal of Mathematical Analysis and Applications;2024-10
5. A class of monotone and structure-preserving Du Fort-Frankel schemes for nonlinear Allen-Cahn equation;Computers & Mathematics with Applications;2024-09
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