000			04079nam a2200433Ki 4500
001			ocn821921472
003			OCoLC
005			20240726105311.0
008			121218s2013 enk ob 001 0 eng d
040			_aNT _beng _erda _cNT
020			_a9781139840422 _q((electronic)l(electronic)ctronic)l((electronic)l(electronic)ctronic)ctronic bk.
050	0	4	_aTA418 _b.I587 2013
049			_aNTA
100	1		_aBerlyand, Leonid, _d1957- _e1
245	1	0	_aIntroduction to the network approximation method for materials modelingLeonid Berlyand, Pennsylvania State University, Alexander G. Kolpakov, Universita degli Studi di Cassino e del Lazio, A. Novikov, Pennsylvania State University.
260			_aCambridge : _bCambridge University Press, _c(c)2013.
300			_a1 online resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_adata file _2rda
490	1		_aEncyclopedia of mathematics and its applications
520	0		_a"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.
504			_a2
505	0	0	_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.
530			_a2 _ub
650		0	_aComposite materials _xMathematical models.
650		0	_aGraph theory.
650		0	_aDifferential equations, Partial.
650		0	_aDuality theory (Mathematics)
655		1	_aElectronic Books.
700	1		_aKolpakov, A. G.
700	1		_aNovikov, A.
700	1		_q(Alexei)
856	4	0	_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=498290&site=eds-live&custid=s3260518 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password
942			_cOB _D _eEB _hTA.. _m2013 _QOL _R _x _8NFIC _2LOC
994			_a02 _bNT
999			_c95720 _d95720
902			_a1 _bCynthia Snell _c1 _dCynthia Snell