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Graph gradient flows : from discrete to continuum
Published 7 Nov 2022 in math.AP | (2211.03384v1)
Abstract: This paper gives a framework to study a continuum limit of a gradient flow on a graph where the number of vertices increases in an appropriate way. As examples we prove the convergence of a discrete total variation flow and a discrete Allen--Cahn flow on discretised tori to their respective continuum limits.
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