Tools

LEADER 04355cam 2200505 i 4500

001 ocn798059415;

003 OCoLC;

005 20141212061834.0;

008 120911t20132013enka b 001 0 eng ;

010 a| 2012029156;

020 a| 9781107028234 (hardback);

020 a| 110702823X (hardback);

035 a| (Sirsi) 40022804784;

035 a| 40022804784;

035 a| (OCoLC)798059415;

042 a| pcc;

050 00 a| TA418.9.C6b| B465 2013;

082 00 a| 620.1/180151152| 23;

084 a| MAT0000002| bisacsh;

100 1 a| Berlyand, Leonid,d| 1957-=| ^A1169842;

245 10 a| Introduction to the network approximation method for materials modeling /c| Leonid Berlyand, Pennsylvania State University, Alexander G. Kolpakov, Università degli Studi di Cassino e del Lazio Meridionale, Alexei Novikov, Pennsylvania State University.;

264 1 a| Cambridge :b| Cambridge University Press,c| 2013.;

300 a| xiv, 243 pages :b| illustrations ;c| 24 cm.;

336 a| text2| rdacontent;

337 a| unmediated2| rdamedia;

338 a| volume2| rdacarrier;

490 1 a| Encyclopedia of mathematics and its applications ;v| 148;

520 a| "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"--c| Provided by publisher.;

504 a| Includes bibliographical references and index.;

505 0 a| Review of mathematical notions used in the analysis of transport problems in dense-packed composite materials -- Background and motivation for introduction of network models -- Network approximation for boundary-value problems with discontinuous coefficients and a finite number of inclusions -- Numerics for percolation and polydispersity via network models -- The network approximation theorem for an infinite number of bodies -- Network method for nonlinear composites -- Network approximation for potentials of bodies -- Application of the method of complex variables.;

650 0 a| Composite materialsx| Mathematical models.=| ^A51796;

650 0 a| Graph theory.=| ^A31040;

650 0 a| Differential equations, Partial.=| ^A20205;

650 0 a| Duality theory (Mathematics)=| ^A65736;

650 7 a| MATHEMATICS / General.2| bisacsh;

700 1 a| Kolpakov, A. G.=| ^A812816;

700 1 a| Novikov, A.q| (Alexei)=| ^A1169841;

830 0 a| Encyclopedia of mathematics and its applications ;v| 148.=| ^A86469;

949 i| 30372013786774o| jjlm;

960 o| 1s| 80.00t| Joyner48u| JAPPz| USD;

596 a| 1;

998 a| 3387054;

999 a| TA418.9 .C6 B465 2013w| LCc| 1i| 30372013786774d| 11/11/2013e| 11/11/2013l| JGESm| JOYNERr| Ys| Yt| JGESBKu| 11/6/2013x| BOOKz| JSTACKSo| .STAFF. jjlm;

Introduction to the network approximation method for materials modeling / Leonid Berlyand, Pennsylvania State University, Alexander G. Kolpakov, Università degli Studi di Cassino e del Lazio Meridionale, Alexei Novikov, Pennsylvania State University.

Author/creator	Berlyand, Leonid, 1957-
Other author	Kolpakov, A. G.
Other author	Novikov, A. (Alexei)
Format	Book
Publication	Cambridge : Cambridge University Press, 2013.
Copyright Date	©2013
Description	xiv, 243 pages : illustrations ; 24 cm.
Subjects	Composite materials--Mathematical models. Graph theory. Differential equations, Partial. Duality theory (Mathematics)

Series	Encyclopedia of mathematics and its applications ; 148 Encyclopedia of mathematics and its applications ; 148. ^A86469
Contents	Review of mathematical notions used in the analysis of transport problems in dense-packed composite materials -- Background and motivation for introduction of network models -- Network approximation for boundary-value problems with discontinuous coefficients and a finite number of inclusions -- Numerics for percolation and polydispersity via network models -- The network approximation theorem for an infinite number of bodies -- Network method for nonlinear composites -- Network approximation for potentials of bodies -- Application of the method of complex variables.
Abstract	"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.
Bibliography note	Includes bibliographical references and index.
LCCN	2012029156
ISBN	9781107028234 (hardback)
ISBN	110702823X (hardback)

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Joyner	General Stacks	TA418.9 .C6 B465 2013	✔ Available	Place Hold

Introduction to the network approximation method for materials modeling / Leonid Berlyand, Pennsylvania State University, Alexander G. Kolpakov, Università degli Studi di Cassino e del Lazio Meridionale, Alexei Novikov, Pennsylvania State University.

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