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Introduction to the network approximation method for materials modeling

Author: Leonid Berlyand; A G Kolpakov; A Novikov
Publisher: Cambridge, UK : Cambridge University Press, 2013.
Series: Encyclopedia of mathematics and its applications, v. 148.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Details

Document Type: Book
All Authors / Contributors: Leonid Berlyand; A G Kolpakov; A Novikov
ISBN: 9781107028234 110702823X
OCLC Number: 798059415
Description: xiv, 243 pages : illustrations ; 24 cm.
Contents: Review of mathematical notions used in the analysis of transport problems in dense-packed composite materials --
Background and motivation for introduction of network models --
Network approximation for boundary-value problems with discontinuous coefficients and a finite number of inclusions --
Numerics for percolation and polydispersity via network models --
The network approximation theorem for an infinite number of bodies --
Network method for nonlinear composites --
Network approximation for potentials of bodies --
Application of the method of complex variables.
Series Title: Encyclopedia of mathematics and its applications, v. 148.
Responsibility: Leonid Berlyand, Pennsylvania State University, Alexander G. Kolpakov, Università degli Studi di Cassino e del Lazio Meridionale, Alexei Novikov, Pennsylvania State University.

Abstract:

Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.  Read more...
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