000			03122nam a22004098i 4500
001			CR9781139235952
003			UkCbUP
005			20200124160224.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			120125s2013||||enk o ||1 0|eng|d
020			_a9781139235952 (ebook)
020			_z9781107028234 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aTA418.9.C6 _bB465 2013
082	0	0	_a620.1/18015115 _223
100	1		_aBerlyand, Leonid, _d1957- _eauthor.
245	1	0	_aIntroduction 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	_aCambridge : _bCambridge University Press, _c2013.
300			_a1 online resource (xiv, 243 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 148
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	8		_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.
520			_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.
650		0	_aComposite materials _xMathematical models.
650		0	_aGraph theory.
650		0	_aDifferential equations, Partial.
650		0	_aDuality theory (Mathematics)
700	1		_aKolpakov, A. G., _eauthor.
700	1		_aNovikov, A. _q(Alexei), _eauthor.
776	0	8	_iPrint version: _z9781107028234
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 148.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139235952
999			_c516998 _d516996