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Homogenization Theory for Multiscale Problems : An introduction / / by Xavier Blanc, Claude Le Bris



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Autore: Blanc Xavier Visualizza persona
Titolo: Homogenization Theory for Multiscale Problems : An introduction / / by Xavier Blanc, Claude Le Bris Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023
Edizione: 1st ed. 2023.
Descrizione fisica: 1 online resource (469 pages)
Disciplina: 515.353
Soggetto topico: Mathematics - Data processing
Computational Mathematics and Numerical Analysis
Persona (resp. second.): Le BrisClaude
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 1 In dimension "zero" -- 2 Homogenization in dimension 1 -- 3 Dimension ≥ 2: The "simple" cases: abstract or periodic settings -- 4 Dimension ≥ 2: Some explicit cases beyond the periodic setting -- 5 Numerical Approaches -- 6 Beyond the diffusion equation and miscellaneous topics -- Appendix A: Some basic elements of PDE analysis.
Sommario/riassunto: The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.
Titolo autorizzato: Homogenization theory for multiscale problems  Visualizza cluster
ISBN: 9783031218330
9783031218323
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910720070303321
Lo trovi qui: Univ. Federico II
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Serie: MS&A, Modeling, Simulation and Applications, . 2037-5263 ; ; 21