Concepedia

A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen–Cahn equations

Jundong Feng, Yingcong Zhou, Tianliang Hou

Applied Mathematics Letters · 2021 · 39 citations · 13 references

DOI

Concepts

References

13

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

Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation

Qiang Du, Lili Ju, Xiao Li et al. · SIAM Journal on Numerical Analysis · 2019 · 280 citations

, , +17

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

, , +16

A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

Hong-lin Liao, Tao Tang · Journal of Computational Physics · 2020 · 155 citations · Full text

, , +12

Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit

Jian Zhang, Qiang Du · SIAM Journal on Scientific Computing · 2009 · 127 citations

, , +16