Skip to content
Register Sign in Wishlist

Introduction to the Network Approximation Method for Materials Modeling


Part of Encyclopedia of Mathematics and its Applications

  • Date Published: December 2012
  • availability: In stock
  • format: Hardback
  • isbn: 9781107028234

£ 64.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • 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.

    • Provides a unified approach for solving a wide variety of applied problems
    • Explains basic concepts through real-world examples
    • Includes results previously available only in journal publications
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: December 2012
    • format: Hardback
    • isbn: 9781107028234
    • length: 255 pages
    • dimensions: 241 x 161 x 19 mm
    • weight: 0.54kg
    • contains: 65 b/w illus.
    • availability: In stock
  • Table of Contents

    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

  • Authors

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

    Alexander G. Kolpakov, Università degli Studi di Cassino e del Lazio Meridionale
    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.

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

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.