Differential Equations and Variational Methods on Graphs

Language: English

Published by Cambridge University Press, GB, 2026

1009556681 / 9781009556682

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The burgeoning field of differential equations on graphs has experienced significant growth in the past decade, propelled by the use of variational methods in imaging and by its applications in machine learning. This text provides a detailed overview of the subject, serving as a reference for researchers and as an introduction for graduate students wishing to get up to speed. The authors look through the lens of variational calculus and differential equations, with a particular focus on graph-Laplacian-based models and the graph Ginzburg-Landau functional. They explore the diverse applications, numerical challenges, and theoretical foundations of these models. A meticulously curated bibliography comprising approximately 800 references helps to contextualise this work within the broader academic landscape. While primarily a review, this text also incorporates some original research, extending or refining existing results and methods.

Seller Inventory # LU-9781009556682

Title
Differential Equations and Variational Methods on Graphs
Author
Jeremy Budd, Yves van Gennip
Publisher
Cambridge University Press, GB
Publication year
2026
Condition
New
Binding
Hardback
Language
English
ISBN 10
1009556681
ISBN 13
9781009556682
Item weight
740 grams

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