Coverart for item
The Resource Introduction to the network approximation method for materials modeling, Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov, (electronic resource)

Introduction to the network approximation method for materials modeling, Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov, (electronic resource)

Label
Introduction to the network approximation method for materials modeling
Title
Introduction to the network approximation method for materials modeling
Statement of responsibility
Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov
Creator
Contributor
Subject
Genre
Language
eng
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"--
Assigning source
Provided by publisher
Cataloging source
MiAaPQ
http://library.link/vocab/creatorDate
1957-
http://library.link/vocab/creatorName
Berlyand, Leonid
Illustrations
  • illustrations
  • charts
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Kolpakov, A. G
  • Novikov, A.
  • ProQuest (Firm)
Series statement
Encyclopedia of mathematics and its applications
http://library.link/vocab/subjectName
  • Composite materials
  • Graph theory
  • Differential equations, Partial
  • Duality theory (Mathematics)
Label
Introduction to the network approximation method for materials modeling, Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Color
multicolored
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
Control code
EBC1057535
Dimensions
unknown
Extent
xiv, 243 p.
Form of item
  • online
  • electronic
Other physical details
ill
Reproduction note
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries
Specific material designation
remote
System control number
  • (MiAaPQ)EBC1057535
  • (Au-PeEL)EBL1057535
  • (CaPaEBR)ebr10634030
  • (CaONFJC)MIL418364
  • (OCoLC)824455593
Label
Introduction to the network approximation method for materials modeling, Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov, (electronic resource)
Publication
Bibliography note
Includes bibliographical references and index
Color
multicolored
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
Control code
EBC1057535
Dimensions
unknown
Extent
xiv, 243 p.
Form of item
  • online
  • electronic
Other physical details
ill
Reproduction note
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries
Specific material designation
remote
System control number
  • (MiAaPQ)EBC1057535
  • (Au-PeEL)EBL1057535
  • (CaPaEBR)ebr10634030
  • (CaONFJC)MIL418364
  • (OCoLC)824455593

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