Nonlocal Continuum Limits of p-Laplacian Problems on Graphs Paperback / softback
by Imad (University of Caen Normandy) El Bouchairi, Jalal (ENSICAEN) Fadili, Yosra (ENSEEIHT) Hafiene, Abderrahim (University of Caen Normandy) Elmoataz
Part of the Elements in Non-local Data Interactions: Foundations and Applications series
Paperback / softback
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Description
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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Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:75 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:11/05/2023
- Category:
- ISBN:9781009327855
Information
-
Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:75 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:11/05/2023
- Category:
- ISBN:9781009327855