Introduction to the Network Approximation Method for Materials Modeling by Leonid Berlyand
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.-
The Theory of Partitions
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The Banach-Tarski Paradox
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Special Functions
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Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents
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Non-Associative Normed Algebras
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Finite Precision Number Systems and Arithmetic
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The Classical Fields
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Handbook of Constructive Mathematics
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Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
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Polynomials with Special Regard to Reducibility
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Boolean Functions
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Categorical Foundations
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Proof Complexity
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Asymptotic Analysis of Random Walks
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Contact Geometry and Nonlinear Differential Equations
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Lie's Structural Approach to PDE Systems
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Sub-Riemannian Geometry
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Combinatorics, Automata and Number Theory
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Variational Methods for Nonlocal Fractional Problems
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Ergodic Control of Diffusion Processes
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Algorithmic Aspects of Graph Connectivity
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Topics in Algorithmic Graph Theory
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Exact and Approximate Controllability for Distributed Parameter Systems
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Mathematics of the Bond Market
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Orthogonal Polynomials in the Spectral Analysis of Markov Processes
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Real Analysis through Modern Infinitesimals
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Introduction to Radon Transforms
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Lattice Sums Then and Now
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The Racah-Wigner Algebra in Quantum Theory
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Boolean Models and Methods in Mathematics, Computer Science, and Engineering
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Exact Constants in Approximation Theory
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An Algebraic Introduction to K-Theory
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond
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Infinite Dimensional Optimization and Control Theory
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Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
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Geometry of Sporadic Groups: Volume 2, Representations and Amalgams
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Ultrametric Pseudodifferential Equations and Applications
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Compound Renewal Processes
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General Orthogonal Polynomials
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The Theory of Information and Coding
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Convex Polytopes and Polyhedra
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Stopping Times and Directed Processes
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Nonnegative Matrices and Applications
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Random Graphs
Leonid Berlyand is Professor of Mathematics and a member of the Materials Research Institute at Pennsylvania State University. 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. A. Novikov is Associate Professor of Mathematics at Pennsylvania State University.
| SKU | Unavailable |
| ISBN 13 | 9781107028234 |
| ISBN 10 | 110702823X |
| Title | Introduction to the Network Approximation Method for Materials Modeling |
| Author | Leonid Berlyand |
| Series | Encyclopedia Of Mathematics And Its Applications |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2012-12-13 |
| Number of pages | 255 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |