Nonlocal continuum limits of p-Laplacian problems on graphs:
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 fund...
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| Main Authors: | , , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2023
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| Series: | Cambridge elements
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| Subjects: | |
| Online Access: | BSB01 BTU01 FHN01 Volltext |
| 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 |
| Item Description: | Also issued in print: 2023. - Includes bibliographical references |
| Physical Description: | 1 Online-Ressource (115 Seiten) Illustrationen |
| ISBN: | 9781009327862 |
| DOI: | 10.1017/9781009327862 |
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Record in the Search Index
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781009327862 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:06:47Z |
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| isbn | 9781009327862 |
| language | English |
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| publisher | Cambridge University Press |
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| spelling | El Bouchairi, Imad Verfasser aut Nonlocal continuum limits of p-Laplacian problems on graphs Imad El Bouchairi, Jalal Fadili, Yosra Hafiene, Abderrahim Elmoataz Cambridge Cambridge University Press 2023 1 Online-Ressource (115 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Cambridge elements Also issued in print: 2023. - Includes bibliographical references 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 Graph theory Laplacian operator Differential equations, Partial Fadili, Jalal 1973- (DE-588)1093436239 aut Hafiene, Yosra aut Elmoataz, Abderrahim aut Erscheint auch als Druck-Ausgabe 978-1-00-932785-5 https://doi.org/10.1017/9781009327862 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | El Bouchairi, Imad Fadili, Jalal 1973- Hafiene, Yosra Elmoataz, Abderrahim Nonlocal continuum limits of p-Laplacian problems on graphs Graph theory Laplacian operator Differential equations, Partial |
| title | Nonlocal continuum limits of p-Laplacian problems on graphs |
| title_auth | Nonlocal continuum limits of p-Laplacian problems on graphs |
| title_exact_search | Nonlocal continuum limits of p-Laplacian problems on graphs |
| title_exact_search_txtP | Nonlocal continuum limits of p-Laplacian problems on graphs |
| title_full | Nonlocal continuum limits of p-Laplacian problems on graphs Imad El Bouchairi, Jalal Fadili, Yosra Hafiene, Abderrahim Elmoataz |
| title_fullStr | Nonlocal continuum limits of p-Laplacian problems on graphs Imad El Bouchairi, Jalal Fadili, Yosra Hafiene, Abderrahim Elmoataz |
| title_full_unstemmed | Nonlocal continuum limits of p-Laplacian problems on graphs Imad El Bouchairi, Jalal Fadili, Yosra Hafiene, Abderrahim Elmoataz |
| title_short | Nonlocal continuum limits of p-Laplacian problems on graphs |
| title_sort | nonlocal continuum limits of p laplacian problems on graphs |
| topic | Graph theory Laplacian operator Differential equations, Partial |
| topic_facet | Graph theory Laplacian operator Differential equations, Partial |
| url | https://doi.org/10.1017/9781009327862 |
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