02670nam 22005295 450 991072007030332120251009074945.09783031218330(electronic bk.)978303121832310.1007/978-3-031-21833-0(MiAaPQ)EBC7243041(Au-PeEL)EBL7243041(DE-He213)978-3-031-21833-0(OCoLC)1378391438(PPN)269656596(CKB)26540608900041(EXLCZ)992654060890004120230429d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierHomogenization Theory for Multiscale Problems An introduction /by Xavier Blanc, Claude Le Bris1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (469 pages)MS&A, Modeling, Simulation and Applications,2037-5263 ;21Print version: Blanc, Xavier Homogenization Theory for Multiscale Problems Cham : Springer,c2023 9783031218323 Includes bibliographical references and index.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.MS&A, Modeling, Simulation and Applications,2037-5263 ;21MathematicsData processingComputational Mathematics and Numerical AnalysisMathematicsData processing.Computational Mathematics and Numerical Analysis.515.353515.353Blanc Xavier1351250Le Bris ClaudeMiAaPQMiAaPQMiAaPQ9910720070303321Homogenization theory for multiscale problems3390156UNINA