Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation

Free Energy of a Nonuniform System. I. Interfacial Free Energy

John W. Cahn, J. E. Hilliard · The Journal of Chemical Physics · 1958 · 10.3K citations

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Efficient implementation of essentially non-oscillatory shock-capturing schemes

Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics · 1988 · 4.7K citations · Full text

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

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One-parameter semigroups for linear evolution equations

Klaus‐Jochen Engel, Rainer Nagel · Semigroup Forum · 2001 · 3.5K citations

Natural Sciences, Mathematics, Differential Equations +9

Weighted Essentially Non-oscillatory Schemes

Xudong Liu, Stanley Osher, Tony F. Chan · Journal of Computational Physics · 1994 · 3.4K citations

Natural Sciences, Computational Engineering, Physics +7