A Prolegomenon to Differential Equations and Variational Methods on Graphs

Book (2025)
Author(s)

Yves Van Gennip (TU Delft - Mathematical Physics)

J.M. Budd (University of Birmingham)

Research Group
Mathematical Physics
DOI related publication
https://doi.org/10.1017/9781009346641
More Info
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Publication Year
2025
Language
English
Research Group
Mathematical Physics
ISBN (print)
978-1-009-49465-6
ISBN (electronic)
978-1-009-34664-1
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Abstract

The use of differential equations on graphs as a framework for the mathematical analysis of images emerged about fifteen years ago and since then it has burgeoned, and with applications also to machine learning. The authors have written a bird's eye view of theoretical developments that will enable newcomers to quickly get a flavour of key results and ideas. Additionally, they provide an substantial bibliography which will point readers to where fuller details and other directions can be explored. This title is also available as open access on Cambridge Core.