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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aIntroduction to the network approximation method for materials modeling /$fLeonid Berlyand, Pennsylvania State University, Alexander G. Kolpakov, Universita? degli Studi di Cassino e del Lazio Meridionale, Alexei Novikov, Pennsylvania State University$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2013.
215   $a1 online resource (xiv, 243 pages) $cdigital, PDF file(s)
225 1 $aEncyclopedia of mathematics and its applications ;$vvolume 148
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a1-107-02823-X 
320   $aIncludes bibliographical references and index.
327   $aMachine 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.
330   $aIn recent years the traditional subject of continuum mechanics has grown rapidly and many new techniques have emerged. This text provides a rigorous, yet accessible introduction to the basic concepts of the network approximation method and provides a unified approach for solving a wide variety of applied problems. As a unifying theme, the authors discuss in detail the transport problem in a system of bodies. They solve the problem of closely placed bodies using the new method of network approximation for PDE with discontinuous coefficients, developed in the 2000s by applied mathematicians in the USA and Russia. Intended for graduate students in applied mathematics and related fields such as physics, chemistry and engineering, the book is also a useful overview of the topic for researchers in these areas.
410  0$aEncyclopedia of mathematics and its applications ;$vv. 148.
606   $aComposite materials$xMathematical models
606   $aGraph theory
606   $aDifferential equations, Partial
606   $aDuality theory (Mathematics)
615  0$aComposite materials$xMathematical models.
615  0$aGraph theory.
615  0$aDifferential equations, Partial.
615  0$aDuality theory (Mathematics)
676   $a620.1/18015115
686   $aMAT000000$2bisacsh
700   $aBerlyand$b Leonid$f1957-$0768261
702   $aKolpakov$b A. G.
702   $aNovikov$b A$g(Alexei),
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910779440503321
996   $aIntroduction to the network approximation method for materials modeling$93817274
997   $aUNINA