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Modern Problems In Applied Analysis


Modern Problems In Applied Analysis
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Modern Problems In Applied Analysis


Modern Problems In Applied Analysis
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Author : Piotr Drygaś
language : en
Publisher: Birkhäuser
Release Date : 2018-03-21

Modern Problems In Applied Analysis written by Piotr Drygaś and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-21 with Mathematics categories.


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.



Advances In Applied Analysis


Advances In Applied Analysis
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Author : Sergei V. Rogosin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-21

Advances In Applied Analysis written by Sergei V. Rogosin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-21 with Mathematics categories.


This book contains survey papers based on the lectures presented at the 3rd International Winter School “Modern Problems of Mathematics and Mechanics” held in January 2010 at the Belarusian State University, Minsk. These lectures are devoted to different problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinary character. The results discussed are application oriented and present new insight into applied problems of growing importance such as applications to composite materials, anomalous diffusion, and fluid dynamics.



Applied Analysis Of Composite Media


Applied Analysis Of Composite Media
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Author : Piotr Drygas
language : en
Publisher: Woodhead Publishing
Release Date : 2019-10-22

Applied Analysis Of Composite Media written by Piotr Drygas and has been published by Woodhead Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-22 with Computers categories.


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.



Applied Analysis


Applied Analysis
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Author : Cornelius Lanczos
language : en
Publisher: Courier Corporation
Release Date : 1988-01-01

Applied Analysis written by Cornelius Lanczos and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.


Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.



Current Problems In Applied Mathematics And Computer Science And Systems


Current Problems In Applied Mathematics And Computer Science And Systems
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Author : Anatoly Alikhanov
language : en
Publisher: Springer Nature
Release Date : 2023-06-05

Current Problems In Applied Mathematics And Computer Science And Systems written by Anatoly Alikhanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-05 with Technology & Engineering categories.


This book is based on the best papers accepted for presentation during the International Conference on Actual Problems of Applied Mathematics and Computer Systems (APAMCS-2022), Russia. The book includes research materials on modern mathematical problems, solutions in the field of scientific computing, data analysis and modular computing. The scope of numerical methods in scientific computing presents original research, including mathematical models and software implementations, related to the following topics: numerical methods in scientific computing; solving optimization problems; methods for approximating functions, etc. The studies in data analysis and modular computing include contributions in the field of deep learning, neural networks, mathematical statistics, machine learning methods, residue number system and artificial intelligence. Finally, the book gives insights into the fundamental problems in mathematics education. The book intends for readership specializing in the field of scientific computing, parallel computing, computer technology, machine learning, information security and mathematical education.



Analysis As A Life


Analysis As A Life
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Author : Sergei Rogosin
language : en
Publisher: Springer
Release Date : 2019-01-30

Analysis As A Life written by Sergei Rogosin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Mathematics categories.


This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications and Computation (ISAAC).



2d And Quasi 2d Composite And Nanocomposite Materials


2d And Quasi 2d Composite And Nanocomposite Materials
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Author : Ross McPhedran
language : en
Publisher: Elsevier
Release Date : 2020-06-05

2d And Quasi 2d Composite And Nanocomposite Materials written by Ross McPhedran and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-05 with Technology & Engineering categories.


2D and Quasi-2D Composite and Nanocomposite Materials: Theory, Properties and Photonic Applications covers the theory, characterization and computational modeling of 2D composite materials and shows how they are used for the creation of materials for 3D structures The book covers three major themes: - Properties of 2D and quasi-2D composites are discussed in the context of homogenization theory. Homogenization results are discussed for spatiotemporal material composites assembled from materials which are distributed on a micro-scale in space and in time. - New types of transport phenomena and localization in random media are addressed, with particular attention to the non-reciprocity of transport coefficients. - Plasmonics and magneto-optics are also of particular interest. Magneto-transport and sub-wavelength resolution in electromagnetic and acoustic imaging are further considered. This book is an important resource for materials scientists and engineers working on nanomaterials, photonic composites, and materials theory, modeling and simulations. - Outlines major modelling techniques of 2D nanocomposites for photonic applications - Explores how the properties of 2D nanocomposites make them suitable for use for building 3D structures - Assesses the challenges of using 2D nanocomposites for designing new devices on a mass scale



Linear And Nonlinear Waves In Microstructured Solids


Linear And Nonlinear Waves In Microstructured Solids
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Author : Igor V. Andrianov
language : en
Publisher: CRC Press
Release Date : 2021-04-22

Linear And Nonlinear Waves In Microstructured Solids written by Igor V. Andrianov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-22 with Technology & Engineering categories.


This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.



Analysis Applications And Computations


Analysis Applications And Computations
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Author : Uwe Kähler
language : en
Publisher: Springer Nature
Release Date : 2023-10-30

Analysis Applications And Computations written by Uwe Kähler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-30 with Mathematics categories.


This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.



Mechanics And Physics Of Structured Media


Mechanics And Physics Of Structured Media
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Author : Igor Andrianov
language : en
Publisher: Academic Press
Release Date : 2022-01-20

Mechanics And Physics Of Structured Media written by Igor Andrianov and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-20 with Technology & Engineering categories.


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