Skip to content
You are not logged in |Login  
     
Limit search to available items
Record:   Prev Next
Resources
More Information
book
BookPrinted Material
Author Berlyand, Leonid, 1957-

Title Introduction to the network approximation method for materials modeling / Leonid Berlyand, Pennsylvania State University, Alexander G. Kolpakov, Università degli Studi di Cassino e del Lazio Meridionale, Alexei Novikov, Pennsylvania State University.

Publication Info. Cambridge : Cambridge University Press, 2013.
©2013

Item Status

Location Call No. Status OPAC Message Public Note Gift Note
 Moore Stacks  TA418.9.C6 B465 2013    Available  ---
Description xiv, 243 pages : illustrations ; 24 cm.
Series Encyclopedia of mathematics and its applications ; 148
Encyclopedia of mathematics and its applications ; v. 148.
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"-- Provided by publisher.
Bibliography Includes bibliographical references and index.
Contents Machine 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.
Subject Composite materials -- Mathematical models.
Composite materials -- Mathematical models.
Composite materials.
Graph theory.
Graph theory.
Differential equations, Partial.
Differential equations, Partial.
Duality theory (Mathematics)
Duality theory (Mathematics)
Added Author Kolpakov, A. G.
Novikov, A. (Alexei)
ISBN 9781107028234 (hardback)
110702823X (hardback)