Constructive Methods For Linear And Nonlinear Boundary Value Problems For Analytic Functions

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Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions

Author : v Mityushev
Publisher : CRC Press
ISBN 13 : 9781584880578
Total Pages : 300 pages
Book Rating : 4.8/5 (85 download)

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Book Synopsis Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions by : v Mityushev

Download or read book Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions written by v Mityushev and published by CRC Press. This book was released on 1999-11-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for boundary value problems, both linear and nonlinear. From among the many applications to which these methods can apply, the authors focus on interesting problems associated with composite materials with a finite number of inclusions. How far can one go in the solutions of problems in nonlinear mechanics and physics using the ideas of analytic functions? What is the difference between linear and nonlinear cases from the qualitative point of view? What kinds of additional techniques should one use in investigating nonlinear problems? Constructive Methods for Linear and Nonlinear Boundary Value Problems serves to answer these questions, and presents many results to Westerners for the first time. Among the most interesting of these is the complete solution of the Riemann-Hilbert problem for multiply connected domains. The results offered in Constructive Methods for Linear and Nonlinear Boundary Value Problems are prepared for direct application. A historical survey along with background material, and an in-depth presentation of practical methods make this a self-contained volume useful to experts in analytic function theory, to non-specialists, and even to non-mathematicians who can apply the methods to their research in mechanics and physics.

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 772 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1970 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monogenic Functions in Spaces with Commutative Multiplication and Applications

Author : Sergiy A. Plaksa
Publisher : Springer Nature
ISBN 13 : 3031322541
Total Pages : 548 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Monogenic Functions in Spaces with Commutative Multiplication and Applications by : Sergiy A. Plaksa

Download or read book Monogenic Functions in Spaces with Commutative Multiplication and Applications written by Sergiy A. Plaksa and published by Springer Nature. This book was released on 2023-07-18 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics. The book consists of six parts: Part I presents some preliminary notions and introduces various concepts of differentiable mappings of vector spaces. Part II - V is devoted to the study of monogenic functions in various spaces with commutative multiplication, namely, three dimensional commutative algebras with two-dimensional radical, finite-dimensional commutative associative algebras, infinite-dimensional vector spaces associated with the three-dimensional Laplace equation and infinite-dimensional vector spaces associated with axial-symmetric potential fields. Part VI presents some boundary value problems for axial-symmetric potential fields and develops effective analytic methods of solving these boundary value problems with various applications in mathematical physics. Graduate students and researchers alike benefit from this book.

Singularly Perturbed Boundary Value Problems

Author : Matteo Dalla Riva
Publisher : Springer Nature
ISBN 13 : 3030762599
Total Pages : 672 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Singularly Perturbed Boundary Value Problems by : Matteo Dalla Riva

Download or read book Singularly Perturbed Boundary Value Problems written by Matteo Dalla Riva and published by Springer Nature. This book was released on 2021-10-01 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes)

Author : Heinrich G W Begehr
Publisher : World Scientific
ISBN 13 : 9814485233
Total Pages : 1557 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) by : Heinrich G W Begehr

Download or read book Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) written by Heinrich G W Begehr and published by World Scientific. This book was released on 2003-08-04 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.

Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 820 pages
Book Rating : 4./5 ( download)

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Book Synopsis by :

Download or read book written by and published by World Scientific. This book was released on with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Network Approximation Method for Materials Modeling

Author : Leonid Berlyand
Publisher : Cambridge University Press
ISBN 13 : 110702823X
Total Pages : 259 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Introduction to the Network Approximation Method for Materials Modeling by : Leonid Berlyand

Download or read book Introduction to the Network Approximation Method for Materials Modeling written by Leonid Berlyand and published by Cambridge University Press. This book was released on 2013 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces graduate students to the state of the art in this fast-developing field of applied mathematics.

Modern Problems in Applied Analysis

Author : Piotr Drygaś
Publisher : Birkhäuser
ISBN 13 : 3319726404
Total Pages : 214 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Modern Problems in Applied Analysis by : Piotr Drygaś

Download or read book Modern Problems in Applied Analysis written by Piotr Drygaś and published by Birkhäuser. This book was released on 2018-03-21 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.

Constructive Methods for Nonlinear Boundary Value Problems and Nonlinear Oscillations

Author : Lothar Collatz
Publisher :
ISBN 13 : 9780817610982
Total Pages : 192 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Constructive Methods for Nonlinear Boundary Value Problems and Nonlinear Oscillations by : Lothar Collatz

Download or read book Constructive Methods for Nonlinear Boundary Value Problems and Nonlinear Oscillations written by Lothar Collatz and published by . This book was released on 1980-01-01 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Constructive Methods for Linear and Nonlinear Boundary Value Problems

Author : Valdimir V Mityushev
Publisher :
ISBN 13 : 9780582414297
Total Pages : pages
Book Rating : 4.4/5 (142 download)

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Book Synopsis Constructive Methods for Linear and Nonlinear Boundary Value Problems by : Valdimir V Mityushev

Download or read book Constructive Methods for Linear and Nonlinear Boundary Value Problems written by Valdimir V Mityushev and published by . This book was released on 1999-05-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Current Trends in Analysis and Its Applications

Author : Vladimir V. Mityushev
Publisher : Birkhäuser
ISBN 13 : 331912577X
Total Pages : 842 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Current Trends in Analysis and Its Applications by : Vladimir V. Mityushev

Download or read book Current Trends in Analysis and Its Applications written by Vladimir V. Mityushev and published by Birkhäuser. This book was released on 2015-02-04 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Kraków, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics: - Differential Equations: Complex and Functional Analytic Methods - Nonlinear PDE - Qualitative Properties of Evolution Models - Differential and Difference Equations - Toeplitz Operators - Wavelet Theory - Topological and Geometrical Methods of Analysis - Queueing Theory and Performance Evaluation of Computer Networks - Clifford and Quaternion Analysis - Fixed Point Theory - M-Frame Constructions - Spaces of Differentiable Functions of Several Real Variables Generalized Functions - Analytic Methods in Complex Geometry - Topological and Geometrical Methods of Analysis - Integral Transforms and Reproducing Kernels - Didactical Approaches to Mathematical Thinking Their wide applications in biomathematics, mechanics, queueing models, scattering, geomechanics etc. are presented in a concise, but comprehensible way, such that further ramifications and future directions can be immediately seen.

Solving Problems in Multiply Connected Domains

Author : Darren Crowdy
Publisher : SIAM
ISBN 13 : 1611976154
Total Pages : 456 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Solving Problems in Multiply Connected Domains by : Darren Crowdy

Download or read book Solving Problems in Multiply Connected Domains written by Darren Crowdy and published by SIAM. This book was released on 2020-04-20 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whenever two or more objects or entities—be they bubbles, vortices, black holes, magnets, colloidal particles, microorganisms, swimming bacteria, Brownian random walkers, airfoils, turbine blades, electrified drops, magnetized particles, dislocations, cracks, or heterogeneities in an elastic solid—interact in some ambient medium, they make holes in that medium. Such holey regions with interacting entities are called multiply connected. This book describes a novel mathematical framework for solving problems in two-dimensional, multiply connected regions. The framework is built on a central theoretical concept: the prime function, whose significance for the applied sciences, especially for solving problems in multiply connected domains, has been missed until recent work by the author. This monograph is a one-of-a-kind treatise on the prime function associated with multiply connected domains and how to use it in applications. The book contains many results familiar in the simply connected, or single-entity, case that are generalized naturally to any number of entities, in many instances for the first time. Solving Problems in Multiply Connected Domains is aimed at applied and pure mathematicians, engineers, physicists, and other natural scientists; the framework it describes finds application in a diverse array of contexts. The book provides a rich source of project material for undergraduate and graduate courses in the applied sciences and could serve as a complement to standard texts on advanced calculus, potential theory, partial differential equations and complex analysis, and as a supplement to texts on applied mathematical methods in engineering and science.

Nonlinear Analysis

Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 146143498X
Total Pages : 898 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Nonlinear Analysis by : Panos M. Pardalos

Download or read book Nonlinear Analysis written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-06-02 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.

IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media

Author : Ross C. McPhedran
Publisher : Springer Science & Business Media
ISBN 13 : 0792370384
Total Pages : 335 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media by : Ross C. McPhedran

Download or read book IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media written by Ross C. McPhedran and published by Springer Science & Business Media. This book was released on 2001-07-31 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media took place at the University of Sydney from January 18- 22, 1999. It brought together leading researchers from eleven countries for a week-long meeting, with the aim of providing cross-links between the com- nities studying related problems involving elastic and electromagnetic waves in structured materials. After the meeting, participants were invited to submit articles based on their presentations, which were refereed and assembled to constitute these Proceedings. The topics covered here represent areas at the forefront of research intoelastic and electromagnetic waves. They include effect of nonlinearity, diffusion and multiple scattering on waves, as well as asymptotic and numerical techniques. Composite materials are discussed in depth, with example systems ranging fromdusty plasmas to a magneto-elastic microstructured system. Also included are studies of homogenisation, that field which seeks to determine equivalent homogeneous systems which can give equivalent wave properties to structured materials, and inverse problems, in which waves are used as a probe to infer structural details concerning scattering systems. There are also strong groups of papers on the localization of waves by random systems, and photonic and phononic band gap materials. These are being developed by analogue with semiconductors for electrons, and hold out the promise of enabling designers to control the propagation of waves through materials in novel ways. We would like to thank the other members of the Scientific Committee (A.

Recent Trends in Operator Theory and Partial Differential Equations

Author : Vladimir Maz'ya
Publisher : Birkhäuser
ISBN 13 : 3319470795
Total Pages : 313 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Recent Trends in Operator Theory and Partial Differential Equations by : Vladimir Maz'ya

Download or read book Recent Trends in Operator Theory and Partial Differential Equations written by Vladimir Maz'ya and published by Birkhäuser. This book was released on 2017-02-23 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research. The book is addressed to a wide audience of pure and applied mathematicians.

Mechanics and Physics of Structured Media

Author : Igor Andrianov
Publisher : Academic Press
ISBN 13 : 0323906532
Total Pages : 528 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Mechanics and Physics of Structured Media by : Igor Andrianov

Download or read book Mechanics and Physics of Structured Media written by Igor Andrianov and published by Academic Press. This book was released on 2022-01-20 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, conductivity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length. Other sections cover boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material. Covers key issues around the mechanics of structured media, including modeling techniques, fracture mechanics in various composite materials, the fundamentals of integral equations, wave mechanics, and more Discusses boundary value problems of materials, techniques for predicting elasticity of composites, and heterogeneous nanomaterials and their statistical description Includes insights on asymptotic methods, wave mechanics, the mechanics of piezo-materials, and more Applies homogenization concepts to various physical systems

Applied Analysis of Composite Media

Author : Piotr Drygas
Publisher : Woodhead Publishing
ISBN 13 : 0081026706
Total Pages : 372 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Applied Analysis of Composite Media by : Piotr Drygas

Download or read book Applied Analysis of Composite Media written by Piotr Drygas and published by Woodhead Publishing. This book was released on 2019-11-05 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Analysis of Composite Media: Analytical and Computational Approaches presents formulas and techniques that can used to study 2D and 3D problems in composites and random porous media. The main strength of this book is its broad range of applications that illustrate how these techniques can be applied to investigate elasticity, viscous flow and bacterial motion in composite materials. In addition to paying attention to constructive computations, the authors have also included information on codes via a designated webpage. This book will be extremely useful for postgraduate students, academic researchers, mathematicians and industry professionals who are working in structured media. Provides a uniform, computational methodology that can be applied to the main classes of transport and elastic problems by using a combination of exact formulae, advanced simulations and asymptotic methods Includes critical phenomena in transport and elastic problems for composites and porous media Applies computational methodology to biological structures Presents computer protocols/algorithms that can be used for materials design