Nonlocal Continuum Limits of p-Laplacian Problems on Graphs - Couverture souple

El Bouchairi, Imad

 
9781009327855: Nonlocal Continuum Limits of p-Laplacian Problems on Graphs
Couverture souple
ISBN 10 : 1009327852 ISBN 13 : 9781009327855
Editeur : Cambridge University Press, 2023

Synopsis

In this Element, the authors consider fully discretized p-Laplacian problems (evolution, boundary value and variational problems) on graphs. The motivation of nonlocal continuum limits comes from the quest of understanding collective dynamics in large ensembles of interacting particles, which is a fundamental problem in nonlinear science, with applications ranging from biology to physics, chemistry and computer science. Using the theory of graphons, the authors give a unified treatment of all the above problems and establish the continuum limit for each of them together with non-asymptotic convergence rates. They also describe an algorithmic framework based proximal splitting to solve these discrete problems on graphs.

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Éditeur
Cambridge University Press
Date d'édition
2023
Langue
anglais
ISBN 10 
1009327852
ISBN 13 
9781009327855
Reliure
Broché
Nombre de pages
124
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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