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OverviewIn 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. Full Product DetailsAuthor: Imad El Bouchairi (University of Caen Normandy) , Jalal Fadili (ENSICAEN) , Yosra Hafiene (ENSEEIHT) , Abderrahim Elmoataz (University of Caen Normandy)Publisher: Cambridge University Press Imprint: Cambridge University Press Dimensions: Width: 15.20cm , Height: 0.70cm , Length: 22.90cm Weight: 0.091kg ISBN: 9781009327855ISBN 10: 1009327852 Pages: 75 Publication Date: 11 May 2023 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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