Description 
xiv, 243 p. : ill. 
Series 
Encyclopedia of mathematics and its applications

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 densepacked composite materials; 2. Background and motivation for introduction of network models; 3. Network approximation for boundaryvalue 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. 
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. 
Reproduction 
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. 
Subject 
Composite materials  Mathematical models.


Graph theory.


Differential equations, Partial.


Duality theory (Mathematics)

Genre/Form 
Electronic books.

Added Author 
Kolpakov, A. G.


Novikov, A. (Alexei)


ProQuest (Firm)

ISBN 
9781107028234 (hardback) 

9781139845168 (ebook) 
