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)
Resource Information
The item Introduction to the network approximation method for materials modeling, Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to the network approximation method for materials modeling, Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 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"
 Language
 eng
 Extent
 xiv, 243 p.
 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
 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
 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)
 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 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
 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
 (AuPeEL)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)
 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 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
 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
 (AuPeEL)EBL1057535
 (CaPaEBR)ebr10634030
 (CaONFJC)MIL418364
 (OCoLC)824455593
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/Introductiontothenetworkapproximationmethod/oIdRtaCgeW0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Introductiontothenetworkapproximationmethod/oIdRtaCgeW0/">Introduction to the network approximation method for materials modeling, Leonid Berlyand, Alexander G. Kolpakov, Alexei Novikov, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>