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Nonlocal Continuum Limits of p-Laplacian Problems on Graphs by Imad El Bouchairi (University of Caen Normandy) at Abbey's Bookshop,
Nonlocal Continuum Limits of p-Laplacian Problems on Graphs
— —
Imad El Bouchairi (University of Caen Normandy) Jalal Fadili (ENSICAEN)

Nonlocal Continuum Limits of p-Laplacian Problems on Graphs

Imad El Bouchairi (University of Caen Normandy),  Jalal Fadili (ENSICAEN),  Yosra Hafiene (ENSEEIHT) ,  Abderrahim Elmoataz (University of Caen Normandy)

$32.95

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English
Cambridge University Press
11 May 2023
Numerical analysis
Series: Elements in Non-local Data Interactions: Foundations and Applications
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.
By:   , , ,
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Dimensions:   Height: 229mm,  Width: 152mm,  Spine: 7mm
Weight:   91g
ISBN:   9781009327855
ISBN 10:   1009327852
Series:   Elements in Non-local Data Interactions: Foundations and Applications
Pages:   75
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Active

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