Graph gradient flows : from discrete to continuum


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/104493

Title:	Graph gradient flows : from discrete to continuum
Authors:	Giga, Yoshikazu Browse this author
	Gennip, Yves van Browse this author
	Okamoto, Jun Browse this author
Issue Date:	18-Oct-2022
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1147
Start Page:	1
End Page:	86
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.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/86978
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

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