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020    9781107028234|q(hardback) 
020    110702823X|q(hardback) 
035    (OCoLC)ocn798059415 
035    578506 
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050 00 TA418.9.C6|bB465 2013 
082 00 620.1/18015115|223 
084    MAT000000|2bisacsh 
090    TA418.9.C6 B465 2013 
100 1  Berlyand, Leonid,|d1957-|0https://id.loc.gov/authorities/
       names/n2012059463 
245 10 Introduction to the network approximation method for 
       materials modeling /|cLeonid Berlyand, Pennsylvania State 
       University, Alexander G. Kolpakov, Università degli Studi 
       di Cassino e del Lazio Meridionale, Alexei Novikov, 
       Pennsylvania State University. 
264  1 Cambridge :|bCambridge University Press,|c2013. 
264  4 |c©2013 
300    xiv, 243 pages :|billustrations ;|c24 cm. 
336    text|2rdacontent 
337    unmediated|2rdamedia 
338    volume|2rdacarrier 
490 1  Encyclopedia of mathematics and its applications ;|v148 
504    Includes bibliographical references and index. 
505 8  Machine generated contents note: Preface; 1. Review of 
       mathematical notions used in the analysis of transport 
       problems in dense-packed composite materials; 2. 
       Background and motivation for introduction of network 
       models; 3. Network approximation for boundary-value 
       problems with discontinuous coefficients and a finite 
       number of inclusions; 4. Numerics for percolation and 
       polydispersity via network models; 5. The network 
       approximation theorem for an infinite number of bodies; 6.
       Network method for nonlinear composites; 7. Network 
       approximation for potentials of disks; 8. Application of 
       complex variables method; Bibliography; Index. 
520    "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"--|cProvided by publisher. 
650  0 Composite materials|0https://id.loc.gov/authorities/
       subjects/sh85029397|xMathematical models.|0https://
       id.loc.gov/authorities/subjects/sh2002007921 
650  0 Graph theory.|0https://id.loc.gov/authorities/subjects/
       sh85056471 
650  0 Differential equations, Partial.|0https://id.loc.gov/
       authorities/subjects/sh85037912 
650  0 Duality theory (Mathematics)|0https://id.loc.gov/
       authorities/subjects/sh85039851 
650  7 Composite materials|xMathematical models.|2fast|0https://
       id.worldcat.org/fast/871716 
650  7 Composite materials.|2fast|0https://id.worldcat.org/fast/
       871682 
650  7 Graph theory.|2fast|0https://id.worldcat.org/fast/946584 
650  7 Differential equations, Partial.|2fast|0https://
       id.worldcat.org/fast/893484 
650  7 Duality theory (Mathematics)|2fast|0https://
       id.worldcat.org/fast/899254 
700 1  Kolpakov, A. G.|0https://id.loc.gov/authorities/names/
       n94011507 
700 1  Novikov, A.|q(Alexei)|0https://id.loc.gov/authorities/
       names/n2012059462 
830  0 Encyclopedia of mathematics and its applications ;|0https:
       //id.loc.gov/authorities/names/n42010632|vv. 148. 
856 42 |3Cover image|uhttp://assets.cambridge.org/97811070/28234/
       cover/9781107028234.jpg 
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