@inbook{c797e61370f242f89b1963745556aeb4,
title = "Graph Gradient Flows: From Discrete to Continuum",
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.",
author = "Gennip, {Yves van} and Yoshikazu Giga and Jun Okamoto",
note = "Green Open Access added to TU Delft Institutional Repository as part of the Taverne amendment. More information about this copyright law amendment can be found at https://www.openaccess.nl. Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. ",
year = "2026",
doi = "10.1007/978-981-97-9812-4_2",
language = "English",
series = "Infosys Science Foundation Series in Mathematical Sciences",
publisher = "Springer",
pages = "163--250",
booktitle = "Infosys Science Foundation Series in Mathematical Sciences",
}