Concepedia

Numerical analysis of a stabilized Crank–Nicolson/Adams–Bashforth finite difference scheme for Allen–Cahn equations

Tianliang Hou, Haitao Leng

Applied Mathematics Letters · 2019 · 59 citations · 10 references

DOI

Concepts

References

10

A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening

Samuel M. Allen, John W. Cahn · Acta Metallurgica · 1979 · 3.7K citations

, , +14

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

Jie Shen, Xiaofeng Yang · Discrete and Continuous Dynamical Systems · 2010 · 954 citations · Full text

, , +15

Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

Xiaobing Feng, Andreas Prohl · Numerische Mathematik · 2003 · 344 citations

, , +13

On the maximum principle preserving schemes for the generalized Allen–Cahn equation

Jie Shen, Tao Tang, Jiang Yang · Communications in Mathematical Sciences · 2016 · 205 citations · Full text

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Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle

Tao Tang, Jiang Yang · Journal of Computational Mathematics · 2016 · 182 citations

, , +17