Getting Acquainted with Homogenization and Multiscale

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Bibliographic Details
Main Author:	Berlyand, Leonid., szerző
Corporate Author:	SpringerLink (Online service)
Other Authors:	Rybalko, Volodymyr., szerző
Special Collection:	e-book
Format:	Book
Language:	English
Published:	Cham : : Springer International Publishing : Imprint: Birkhäuser,, 2018
Edition:	1st ed. 2018.
Series:	Compact Textbooks in Mathematics,, ISSN 2296-4568
Subjects:	Computer science. Engineering mathematics Differential equations, partial. Computational Science and Engineering. Mathematical and Computational Engineering. Partial Differential Equations. elektronikus könyv
Online Access:	https://doi.org/10.1007/978-3-030-01777-4
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id	opac-EUL01-000979027
collection	e-book
institution	L_200 EUL01
spelling	Berlyand, Leonid. szerző aut http://id.loc.gov/vocabulary/relators/aut Getting Acquainted with Homogenization and Multiscale by Leonid Berlyand, Volodymyr Rybalko. 1st ed. 2018. Cham : Springer International Publishing : Imprint: Birkhäuser, 2018 XVIII, 178 p. 42 illus., 14 illus. in color. online forrás szöveg txt rdacontent számítógépes c rdamedia távoli hozzáférés cr rdacarrier szövegfájl PDF rda Compact Textbooks in Mathematics, 2296-4568 Chapter 1- Preliminaries -- Chapter 2- What is Homogenization and Multiscale? First Examples -- Chapter 3- Brief History and Surprising Examples in Homogenization -- Chapter 4- Formal Two-scale Asymptotic Expansions and the Corrector Problem -- Chapter 5- Compensated Compactness and Oscillating Test-functions -- Chapter 6- Two-scale Convergence -- Chapter 7- Examples of Explicit Effective Coefficients: Laminated Structures and 2D Checkerboards -- Chapter 8- Introduction to Stochastic Homogenization -- Chapter 9- G-Convergence in Nonlinear Homogenization Problems -- Chapter 10- An Example of a Nonlinear Problem: Homogenization of Plasticity and Limit Loads -- Chapter 11- Continuum Limits for Discrete Problems with Fine Scales -- References -- Appendix: Regular and Singular Perturbations and Boundary Layers -- Index. The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students. Nyomtatott kiadás: ISBN 9783030017767 Nyomtatott kiadás: ISBN 9783030017781 Az e-könyvek a teljes ELTE IP-tartományon belül online elérhetők. könyv e-book Computer science. Engineering mathematics Differential equations, partial. Computational Science and Engineering. Mathematical and Computational Engineering. Partial Differential Equations. elektronikus könyv Rybalko, Volodymyr. szerző aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) közreadó testület Online változat https://doi.org/10.1007/978-3-030-01777-4 EUL01
language	English
format	Book
author	Berlyand, Leonid., szerző
spellingShingle	Berlyand, Leonid., szerző Getting Acquainted with Homogenization and Multiscale Compact Textbooks in Mathematics,, ISSN 2296-4568 Computer science. Engineering mathematics Differential equations, partial. Computational Science and Engineering. Mathematical and Computational Engineering. Partial Differential Equations. elektronikus könyv
author_facet	Berlyand, Leonid., szerző Rybalko, Volodymyr., szerző SpringerLink (Online service)
author2	Rybalko, Volodymyr., szerző
author_corporate	SpringerLink (Online service)
author_sort	Berlyand, Leonid.
title	Getting Acquainted with Homogenization and Multiscale
title_short	Getting Acquainted with Homogenization and Multiscale
title_full	Getting Acquainted with Homogenization and Multiscale by Leonid Berlyand, Volodymyr Rybalko.
title_fullStr	Getting Acquainted with Homogenization and Multiscale by Leonid Berlyand, Volodymyr Rybalko.
title_full_unstemmed	Getting Acquainted with Homogenization and Multiscale by Leonid Berlyand, Volodymyr Rybalko.
title_auth	Getting Acquainted with Homogenization and Multiscale
title_sort	getting acquainted with homogenization and multiscale
series	Compact Textbooks in Mathematics,, ISSN 2296-4568
series2	Compact Textbooks in Mathematics,
publishDate	2018
publishDateSort	2018
physical	XVIII, 178 p. 42 illus., 14 illus. in color. : online forrás
edition	1st ed. 2018.
isbn	978-3-030-01777-4
issn	2296-4568
callnumber-first	Q - Science
callnumber-subject	QA - Mathematics
callnumber-label	QA71-90
callnumber-raw	979027
callnumber-search	979027
topic	Computer science. Engineering mathematics Differential equations, partial. Computational Science and Engineering. Mathematical and Computational Engineering. Partial Differential Equations. elektronikus könyv
topic_facet	Computer science. Engineering mathematics Differential equations, partial. Computational Science and Engineering. Mathematical and Computational Engineering. Partial Differential Equations. elektronikus könyv Computer science. Engineering mathematics Differential equations, partial. Computational Science and Engineering. Mathematical and Computational Engineering. Partial Differential Equations.
url	https://doi.org/10.1007/978-3-030-01777-4
illustrated	Not Illustrated
dewey-hundreds	000 - Computer science, information & general works
dewey-tens	000 - Computer science, knowledge & systems
dewey-ones	004 - Data processing & computer science
dewey-full	004
dewey-sort	14
dewey-raw	004
dewey-search	004
first_indexed	2022-02-12T13:38:22Z
last_indexed	2022-03-11T07:27:16Z
recordtype	opac
publisher	Cham : : Springer International Publishing : Imprint: Birkhäuser,
_version_	1726983739717713921
score	13,335085
generalnotes	The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.

Getting Acquainted with Homogenization and Multiscale

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