Getting Acquainted with Homogenization and Multiscale

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Format: Book
Language:English
Published: Cham : : Springer International Publishing : Imprint: Birkhäuser,, 2018
Edition:1st ed. 2018.
Series:Compact Textbooks in Mathematics,, ISSN 2296-4568
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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,
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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.