Title: Introduction to the Network Approximation Method for Materials Modeling Encyclopedia of Mathematics and its Applications
Publisher: Cambridge University Press
Publication Date: 2012
Language: English
ISBN 10: 110702823X
ISBN 13: 9781107028234
Binding: Hardcover
Condition: New

About this title

Synopsis

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 network approximation for PDE 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.

About the Authors

Leonid Berlyand is Professor of Mathematics and a member of the Materials Research Institute at Pennsylvania State University.

Alexander G. Kolpakov holds a long term Senior Marie Curie Fellow position at the University of Cassino, Italy. He is also a Professor at the Siberian State University of Telecommunications and Informatics, Novosibirsk, Russia.

A. Novikov is Associate Professor of Mathematics at Pennsylvania State University.

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