Introduction To The Network Approximation Method For Materials Modeling
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Introduction To The Network Approximation Method For Materials Modeling
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Author : Leonid Berlyand
language : en
Publisher: Cambridge University Press
Release Date : 2013
Introduction To The Network Approximation Method For Materials Modeling written by Leonid Berlyand and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.
Introduction To The Network Approximation Method For Materials Modeling
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Author : Leonid Berlyand
language : en
Publisher:
Release Date : 2014-05-14
Introduction To The Network Approximation Method For Materials Modeling written by Leonid Berlyand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.
Introduction To The Network Approximation Method For Materials Modeling
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Author : Leonid Berlyand. Alexander G. Kolpakov. Alexei Novikov
language : en
Publisher:
Release Date : 2012
Introduction To The Network Approximation Method For Materials Modeling written by Leonid Berlyand. Alexander G. Kolpakov. Alexei Novikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Introduction To The Network Approximation Method For Materials Modeling
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Author : Leonid Berlyand
language : en
Publisher: Cambridge University Press
Release Date : 2012-12-13
Introduction To The Network Approximation Method For Materials Modeling written by Leonid Berlyand and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-13 with Mathematics categories.
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.
Introduction To Mathematical Modeling And Computer Simulations
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Author : Vladimir Mityushev
language : en
Publisher: CRC Press
Release Date : 2018-02-19
Introduction To Mathematical Modeling And Computer Simulations written by Vladimir Mityushev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-19 with Mathematics categories.
Introduction to Mathematical Modeling and Computer Simulations is written as a textbook for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using the profound mathematical tools required by most advanced texts. It can be particularly useful for applied mathematicians and engineers who are just beginning their careers. The goal of this book is to outline Mathematical Modeling using simple mathematical descriptions, making it accessible for first- and second-year students.
Compound Renewal Processes
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Author : A. A. Borovkov
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-30
Compound Renewal Processes written by A. A. Borovkov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-30 with Mathematics categories.
Compound renewal processes (CRPs) are among the most ubiquitous models arising in applications of probability. At the same time, they are a natural generalization of random walks, the most well-studied classical objects in probability theory. This monograph, written for researchers and graduate students, presents the general asymptotic theory and generalizes many well-known results concerning random walks. The book contains the key limit theorems for CRPs, functional limit theorems, integro-local limit theorems, large and moderately large deviation principles for CRPs in the state space and in the space of trajectories, including large deviation principles in boundary crossing problems for CRPs, with an explicit form of the rate functionals, and an extension of the invariance principle for CRPs to the domain of moderately large and small deviations. Applications establish the key limit laws for Markov additive processes, including limit theorems in the domains of normal and large deviations.
Non Associative Normed Algebras
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Author : Miguel Cabrera García
language : en
Publisher: Cambridge University Press
Release Date : 2018-04-12
Non Associative Normed Algebras written by Miguel Cabrera García and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-12 with Mathematics categories.
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Computational Analysis Of Structured Media
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Author : Simon Gluzman
language : en
Publisher: Academic Press
Release Date : 2017-09-20
Computational Analysis Of Structured Media written by Simon Gluzman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-20 with Mathematics categories.
Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz's method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices. - Computational methodology for main classes of problems in structured media - Theory of Representative Volume Element - Combines exact results, Monte-Carlo simulations and Resummation techniques under one umbrella - Contains new analytical formulae obtained in the last ten years and it combines different asymptotic methods with the corresponding computer implementations
Singularly Perturbed Boundary Value Problems
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Author : Matteo Dalla Riva
language : en
Publisher: Springer Nature
Release Date : 2021-10-01
Singularly Perturbed Boundary Value Problems written by Matteo Dalla Riva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-01 with Mathematics categories.
This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.
Higher Special Functions
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Author : Wolfgang Lay
language : en
Publisher: Cambridge University Press
Release Date : 2024-05-23
Higher Special Functions written by Wolfgang Lay and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-23 with Mathematics categories.
Higher special functions emerge from boundary eigenvalue problems of Fuchsian differential equations with more than three singularities. This detailed reference provides solutions for singular boundary eigenvalue problems of linear ordinary differential equations of second order, exploring previously unknown methods for finding higher special functions. Starting from the fact that it is the singularities of a differential equation that determine the local, as well as the global, behaviour of its solutions, the author develops methods that are both new and efficient and lead to functional relationships that were previously unknown. All the developments discussed are placed within their historical context, allowing the reader to trace the roots of the theory back through the work of many generations of great mathematicians. Particular attention is given to the work of George Cecil Jaffé, who laid the foundation with the calculation of the quantum mechanical energy levels of the hydrogen molecule ion.