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Record Nr. |
UNINA9910720070303321 |
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Autore |
Blanc Xavier |
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Titolo |
Homogenization Theory for Multiscale Problems : An introduction / / by Xavier Blanc, Claude Le Bris |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
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ISBN |
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9783031218330 |
9783031218323 |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (469 pages) |
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Collana |
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MS&A, Modeling, Simulation and Applications, , 2037-5263 ; ; 21 |
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Disciplina |
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Soggetti |
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Mathematics - Data processing |
Computational Mathematics and Numerical Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. |
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