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most citedA Solvable Model for Discrete Time Crystal Enforced by Nonsymmorphic Dynamical Symmetry

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math.NA2026

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

Wenshuai Hu, Guanghua Ji, Xiao Li

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 n…