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＜電子ブック＞
Homogenization Theory for Multiscale Problems : An introduction / by Xavier Blanc, Claude Le Bris
(MS&A, Modeling, Simulation and Applications. ISSN:20375263 ; 21)

版	1st ed. 2023.
出版者	(Cham : Springer Nature Switzerland : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XVII, 455 p. 29 illus., 24 illus. in color : online resource
著者標目	*Blanc, Xavier author Le Bris, Claude author SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 FREE:Computational Mathematics and Numerical Analysis
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-031-21833-0

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