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A Second-Order Maximum-Bound-Preserving and Energy-Stable Exponential Time-Differencing Method for Allen--Cahn-Type Gradient Flows

Hu, Wenshuai et al.
arXiv (All) · Papers
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g-1-8numerical-analysis
The energy dissipation law and the maximum bound principle (MBP) are two important physical features of the well-known Allen--Cahn equation. In this paper, we develop and analyze novel second-order linear numerical schemes for a class of Allen--Cahn type gradient flows. Our scheme is based on the ge
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