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Titlebook: Getting Acquainted with Homogenization and Multiscale; Leonid Berlyand,Volodymyr Rybalko Textbook 2018 Springer Nature Switzerland AG 2018

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發(fā)表于 2025-3-21 20:09:17 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Getting Acquainted with Homogenization and Multiscale
編輯Leonid Berlyand,Volodymyr Rybalko
視頻videohttp://file.papertrans.cn/386/385434/385434.mp4
概述Development of an intuitive understanding that complements rigorous mathematics.Makes advanced mathematical tools and concepts accessible to non-experts.Presentations in all Chapters is supplied with
叢書名稱Compact Textbooks in Mathematics
圖書封面Titlebook: Getting Acquainted with Homogenization and Multiscale;  Leonid Berlyand,Volodymyr Rybalko Textbook 2018 Springer Nature Switzerland AG 2018
描述.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..
出版日期Textbook 2018
關鍵詞Multiscale; Homogenization; Effective coefficients; Asymptotic expansion; Gamma-convergence; Two-scale co
版次1
doihttps://doi.org/10.1007/978-3-030-01777-4
isbn_softcover978-3-030-01776-7
isbn_ebook978-3-030-01777-4Series ISSN 2296-4568 Series E-ISSN 2296-455X
issn_series 2296-4568
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-22 00:19:07 | 只看該作者
板凳
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Leonid Berlyand,Volodymyr RybalkoDevelopment of an intuitive understanding that complements rigorous mathematics.Makes advanced mathematical tools and concepts accessible to non-experts.Presentations in all Chapters is supplied with
地板
發(fā)表于 2025-3-22 04:47:43 | 只看該作者
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發(fā)表于 2025-3-22 10:29:11 | 只看該作者
Grundkurs Wirtschaftsinformatiker” which elucidates a key difference with the .-limit in continuum problems from .. We explain in detail the effect of convexification in the .-limit which applies to both discrete and continuum settings and emphasizes the crucial differences between homogenization for convex and nonconvex Lagrangians.
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發(fā)表于 2025-3-23 01:07:25 | 只看該作者
Formal Two-Scale Asymptotic Expansions and the Corrector Problem,f separation of slow and fast variables, proved to be extremely efficient not only in homogenization problems but also in the variety of other applications. In the context of the case study conductivity problem we also introduce the so-called corrector problem which is the heart of the homogenization method.
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發(fā)表于 2025-3-23 03:27:32 | 只看該作者
Two-Scale Convergence, framework for many practical problems where the direct justification of asymptotic expansions becomes prohibitively cumbersome. In particular, we describe an interesting example of homogenization of well-known double-porosity problem that models fluid flow in porous media.
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發(fā)表于 2025-3-23 06:41:02 | 只看該作者
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