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Cover: 9783031218354 | Homogenization Theory for Multiscale Problems | An introduction | Buch
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Homogenization Theory for Multiscale Problems
An introduction
Taschenbuch von Claude Le Bris (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

¿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.

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2024
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xvii
455 S.
5 s/w Illustr.
24 farbige Illustr.
455 p. 29 illus.
24 illus. in color.
ISBN-13: 9783031218354
ISBN-10: 3031218353
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Le Bris, Claude
Blanc, Xavier
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 26 mm
Von/Mit: Claude Le Bris (u. a.)
Erscheinungsdatum: 01.05.2024
Gewicht: 0,715 kg
Artikel-ID: 129107704
Über den Autor

¿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.

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2024
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xvii
455 S.
5 s/w Illustr.
24 farbige Illustr.
455 p. 29 illus.
24 illus. in color.
ISBN-13: 9783031218354
ISBN-10: 3031218353
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Le Bris, Claude
Blanc, Xavier
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 26 mm
Von/Mit: Claude Le Bris (u. a.)
Erscheinungsdatum: 01.05.2024
Gewicht: 0,715 kg
Artikel-ID: 129107704
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