عنوان

Getting acquainted with homogenization and multiscale /

شابک

303001777X

شابک

9783030017774

شابک اشتباه

9783030017767

عنوان اصلي

Getting acquainted with homogenization and multiscale /

نام عام مواد

[Book]

نام نخستين پديدآور

Leonid Berlyand, Volodymyr Rybalko.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Birkhäuser,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (xviii, 178 pages) :

ساير جزييات

illustrations (some color)

عنوان فروست

Compact textbooks in mathematics,

شاپا ي ISSN فروست

2296-4568

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.--

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030017774

موضوع مستند نشده

Homogenization (Differential equations)

موضوع مستند نشده

Multiscale modeling.

موضوع مستند نشده

Computers-- Computer Science.

موضوع مستند نشده

Differential calculus & equations.

موضوع مستند نشده

Homogenization (Differential equations)

موضوع مستند نشده

Mathematics-- Applied.

موضوع مستند نشده

Mathematics-- Differential Equations.

موضوع مستند نشده

Maths for engineers.

موضوع مستند نشده

Maths for scientists.

موضوع مستند نشده

Multiscale modeling.

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Berlyand, Leonid,1957-

مستند نام اشخاص تاييد نشده

Rybalko, Volodymyr

تاريخ عمليات

20200823073427.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y