Item Details
Introduction to the Network Approximation Method for Materials Modeling
Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov
 Format
 Book
 Published
 Cambridge : Cambridge University Press, 2013.
 Language
 English
 Series
 Encyclopedia of Mathematics and Its Applications
 ISBN
 9781107028234 (hardback), 110702823X (hardback)
 Related Resources
 Cover image
 Summary
 "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"
 Contents
 Ch. 1. Review of mathematical notions used in the analysis of transport problems in densepacked composite materials
 ch. 2. Background and motivation for introduction of network models
 ch. 3. Network approximation for boundaryvalue problems with discontinuous coefficients and a finite number of inclusions
 ch. 4. Numerics for percolation and polydispersity via network models
 ch. 5. The network approximation theorem for an infinite number of bodies
 ch. 6. Network method for nonlinear composites
 ch. 7. Network approximation for potentials of disks
 ch. 8. Application of complex variables method
 Bibliography
 Index.
 Description
 xiv, 243 pages : illustrations ; 24 cm.
 Notes
 Includes bibliographical references and index.
 Series Statement
 Encyclopedia of mathematics and its applications ; 148
 Technical Details

 Access in Virgo Classic
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LEADER 03984cam a2200445 i 4500001 u5948934003 SIRSI005 20130304143753.0008 120911t20132013enka b 001 0 enga 2012029156a 9781107028234 (hardback)a 110702823X (hardback)a (Sirsi) o798059415a (OCoLC)798059415a DLC e rda b eng c DLC d YDX d BTCTA d UKMGB d BDX d OCLCO d YDXCP d BWK d YNK d OCLCO d CDXa pcca TA418.9.C6 b B465 2013a Berlyand, Leonid, d 1957a Introduction to the network approximation method for materials modeling / c Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov.a Cambridge : b Cambridge University Press, c 2013.c ©2013a xiv, 243 pages : b illustrations ; c 24 cm.a text 2 rdacontenta unmediated 2 rdamediaa volume 2 rdacarriera Encyclopedia of mathematics and its applications ; v 148a "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" c Provided by publisher.a Includes bibliographical references and index.a Ch. 1. Review of mathematical notions used in the analysis of transport problems in densepacked composite materials  ch. 2. Background and motivation for introduction of network models  ch. 3. Network approximation for boundaryvalue problems with discontinuous coefficients and a finite number of inclusions  ch. 4. Numerics for percolation and polydispersity via network models  ch. 5. The network approximation theorem for an infinite number of bodies  ch. 6. Network method for nonlinear composites  ch. 7. Network approximation for potentials of disks  ch. 8. Application of complex variables method  Bibliography  Index.a Composite materials x Mathematical models.a Graph theory.a Differential equations, Partial.a Duality theory (Mathematics)a Kolpakov, A. G.a Novikov, A. q (Alexei)a Encyclopedia of mathematics and its applications ; v 148.3 Cover image u http://proxy01.its.virginia.edu/login?url=http://assets.cambridge.org/97811070/28234/cover/9781107028234.jpga 8a TA418.9 .C6 B465 2013 w LC i X031609780 l STACKS m MATH t BOOK
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TA418.9 .C6 B465 2013 