Authors:
- Encompasses deterministic settings and probabilistic settings
- Mixes the most abstract aspects with some more practical aspects
- Pedagogical and comprehensive introduction to homogenization
Part of the book series: MS&A (MS&A, volume 21)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Laboratoire Jacques-Louis Lions, Université Paris Cité, Paris Cédex 13, France
Xavier Blanc
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École des Ponts ParisTech & Centre Inria de Paris, Marne-la-Vallée, France
Claude Le Bris
About the authors
Xavier Blanc is Professor at Université Paris Cité. His research has focused on the analysis of partial differential equations, and on numerical methods. Applications include superfluids, plasma physics, radiative transfer.
Claude Le Bris holds positions as Civil Engineer-General and Research Scientist at École des Ponts, as well as scientific leader of the MATHERIALS research team at Inria. He serves on several advisory boards of international research institutes and has extensive editorial responsibilities for book series and journals. His research has focused on mathematical analysis and numerical methods for partial differential equations, with contributions in several areas including the mathematics of computational chemistry and physics, multiscale problems and homogenization theory.Bibliographic Information
Book Title: Homogenization Theory for Multiscale Problems
Book Subtitle: An introduction
Authors: Xavier Blanc, Claude Le Bris
Series Title: MS&A
DOI: https://doi.org/10.1007/978-3-031-21833-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-21832-3Published: 30 April 2023
Softcover ISBN: 978-3-031-21835-4Due: 31 May 2023
eBook ISBN: 978-3-031-21833-0Published: 29 April 2023
Series ISSN: 2037-5255
Series E-ISSN: 2037-5263
Edition Number: 1
Number of Pages: XVII, 455
Number of Illustrations: 5 b/w illustrations, 24 illustrations in colour