Nonlocal continuum limits of p-Laplacian problems on graphs / Imad El Bouchairi, Jalal Fadili, Yosra Hafiene, Abderrahim Elmoataz.

Format:

Book

Author/Creator:

Bouchairi, Imad El, author.

Fadili, Jalal M., 1973- author.

Hafiene, Yosra, author.

Elmoataz, Abderrahim, author.

Series:

Cambridge elements 2755-1296.

Cambridge elements. Elements in non-local data interactions : foundations and applications, 2755-1296

Language:

English

Subjects (All):

Graph theory.

Laplacian operator.

Differential equations, Partial.

Physical Description:

1 online resource (115 pages) : illustrations (black and white, and colour), digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2023.

Summary:

In this text, 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.

Notes:

Also issued in print: 2023.

Includes bibliographical references.

Description based on online resource; title from PDF title page (viewed on May 2, 2023).

Other Format:

Print version :

ISBN:

9781009327862

Access Restriction:

Restricted for use by site license.