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Second-order maximum principle preserving Strang’s splitting schemes for anisotropic fractional Allen-Cahn equations

Numerical Algorithms, 2021
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Hao Chen, Hai-Wei Sun
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Mesh Conditions of the Preserving-Maximum-Principle Linear Finite Volume Element Method for Anisotropic Diffusion-Convection-Reaction Equations

Acta Mathematicae Applicatae Sinica, English Series, 2023
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Lin, Lei   +3 more
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Maximum and comparison principle for one-dimensional anisotropic diffusion

Mathematische Annalen, 1998
The authors consider the properties of putative \(C^1\) solutions of the Perona-Malik equation (which arises in computer vision). They argue that the formation of discontinuities observed in numerical computations is merely gradual and that the solution should approach a minimum of a relaxed functional.
Kawohl, Bernd, Kutev, Nikolai
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