TY  - GEN
AU  - Berlyand, Leonid 
AU  - Kolpakov, Alexander G.  
AU  - Novikov, Alexei 
TI  - Introduction to the network approximation method for materials modeling, Vol. 148
SN  - 9781107028234
U1  - 620.18015115 BER 
PY  - 2013///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Mathematics
KW  - Technology and Engineering
KW  - Material Science
KW  - Partial Differential Equations
KW  - Duality Theory
KW  - Graph Theory
KW  - Composite Materials
KW  - Mathematical Models
N2  - 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
ER  -