Implicit and fully discrete approximation of the supercooled Stefan problem in the presence of blow-ups

We consider two approximation schemes of the one-dimensional supercooled Stefan problem and prove their convergence, even in the presence of finite time blow-ups. All proofs are based on a probabilistic reformulation recently considered in the literature. The first scheme is a version of the time-st...

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Bibliographic Details
Main Authors: Cuchiero, C, Reisinger, C, Rigger, S
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2024