Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov. -- Cambridge University Press, -- 2013. --

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ISBN [110702823X] (hardback)
ISBN13桁 9781107028234 (hardback)
テキストの言語 英語                  
分類:NDC10版 410.8
個人著者標目 Berlyand, Leonid,
生没年等 1957-
本タイトル Introduction to the network approximation method for materials modeling /
著者名 Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov.
出版地・頒布地 Cambridge, UK :
出版者・頒布者名 Cambridge University Press,
出版年・頒布年 2013.
数量 xiv, 243 p. :
他の形態的事項 ill. ;
大きさ 24 cm.
書誌注記 Includes bibliographical references (p. [228]-241) and index.
内容注記 Review of mathematical notions used in the analysis of transport problems in dense-packed composite materials -- Background and motivation for introduction of network models -- Network approximation for boundary-value problems with discontinuous coefficients and a finite number of inclusions -- Numerics for percolation and polydispersity via network models -- The network approximation theorem for an infinite number of bodies -- Network method for nonlinear composites -- Network approximation for potentials of bodies -- Application of the method of complex variables.
要約、抄録、注釈等 "In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of the network approximation for partial differential equations with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas. In recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of the network approximation for partial differential equations with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas"--
著者標目 Kolpakov, A. G.
Novikov, A. (Alexei)
統一タイトル(シリーズ副出標目) Encyclopedia of mathematics and its applications ;
シリーズの巻次 v. 148.
シリーズ名・巻次 Encyclopedia of mathematics and its applications ; 148
一般件名 Composite materials -- Mathematical models.
Graph theory.
資料情報1 『Introduction to the network approximation method for materials modeling /』(Encyclopedia of mathematics and its applications ; 148) Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov. Cambridge University Press, 2013. (所蔵館:中央  請求記号:F/410.8/E56/E1-148  資料コード:7102286181)
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352005109