A fast and efficient numerical algorithm for fractional Allen–Cahn with precise nonlocal mass conservation

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

Natural Sciences, Physics, Condensed Matter Physics +14

On the Construction and Comparison of Difference Schemes

Gilbert Strang · SIAM Journal on Numerical Analysis · 1968 · 3.5K citations

Natural Sciences, Mathematics, Computational Mechanics +16

Phase-Field Models for Microstructure Evolution

Long‐Qing Chen · Annual Review of Materials Research · 2002 · 2.9K citations

Natural Sciences, Materials Engineering, Materials Science +17

A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

Xuan Zhao, Zhi‐zhong Sun, Zhaopeng Hao · SIAM Journal on Scientific Computing · 2014 · 274 citations

Natural Sciences, Physics, Computational Fluid Dynamics +15

Geometrical image segmentation by the Allen–Cahn equation

Michal Beneš, Vladimı́r Chalupecký, Karol Mikula · Applied Numerical Mathematics · 2004 · 228 citations

Computing, Computer Science, Mathematics +10