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Math Department Invited Talks

[Math Department Invited Talk] Exponential time differencing schemes for Allen-Cahn Equations and their applications in image segmentation problems

Abstract

In this talk, we will introduce exponential time differencing schemes for Allen-Cahn equations. Maximum bound principle and energy stability of Allen-Cahn equations will be proved in the discrete time sense. We will also study an image segmentation problem with the proposed numerical algorithm.