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Non Regular Differential Equations And Calculations Of Electromagnetic Fields
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Book Synopsis Non-regular Differential Equations and Calculations of Electromagnetic Fields by : N. E. Tovmasyan
Download or read book Non-regular Differential Equations and Calculations of Electromagnetic Fields written by N. E. Tovmasyan and published by World Scientific. This book was released on 1998 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the boundary value problems for non-regular partial differential equations in the half-plane. Efficient methods are developed for resolution of boundary value problems for improperly elliptic equations ? based on the theory of analytic functions and functional analysis ? having great theoretical and practical importance. In canonical domains (circle, ellipse, half-plane, etc.) explicit formulas for solutions to Riemann-Hilbert and Dirichlet type problems for improperly elliptic equations are obtained. A new approach is proposed for the investigation of the harmonic oscillations of electromagnetic fields in stratified and non-homogeneous media and for the calculation of capacitors bounded by analytic surfaces. The book can be used by professionals in a wide range of specialities, including mathematics, mechanics, physics and many realms of engineering.
Book Synopsis Nonlinear Diffusion of Electromagnetic Fields by :
Download or read book Nonlinear Diffusion of Electromagnetic Fields written by and published by Elsevier. This book was released on 1998-04-28 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Diffusion of Electromagnetic Fields covers applications of the phenomena of non-linear diffusion of electromagnetic fields, such as magnetic recording, electromagnetic shielding and non-destructive testing, development of CAD software, and the design of magnetic components in electrical machinery. The material presented has direct applications to the analysis of eddy currents in magnetically nonlinear and hysteretic conductors and to the study of magnetization processes in electrically nonlinear superconductors. This book will provide very valuable technical and scientific information to a broad audience of engineers and researchers who are involved in these diverse areas. Contains extensive use of analytical techniques for the solution of nonlinear problems of electromagnetic field diffusion Simple analytical formulas for surface impedances of nonlinear and hysteretic media Analysis of nonlinear diffusion for linear, circular and elliptical polarizations of electromagnetic fields Novel and extensive analysis of eddy current losses in steel laminations for unidirectional and rotating magnetic fields Preisach approach to the modeling of eddy current hysteresis and superconducting hysteresis Extensive study of nonlinear diffusion in superconductors with gradual resistive transitions (scalar and vertorial problems)
Book Synopsis Operator Theory and Harmonic Analysis by : Alexey N. Karapetyants
Download or read book Operator Theory and Harmonic Analysis written by Alexey N. Karapetyants and published by Springer Nature. This book was released on 2021-09-27 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This volume is focused on general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multiparameter objects required when considering operators and objects with variable parameters.
Book Synopsis Numerical Analysis of Electromagnetic Fields by : Pei-bai Zhou
Download or read book Numerical Analysis of Electromagnetic Fields written by Pei-bai Zhou and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods for solving boundary value problems have developed rapidly. Knowledge of these methods is important both for engineers and scientists. There are many books published that deal with various approximate methods such as the finite element method, the boundary element method and so on. However, there is no textbook that includes all of these methods. This book is intended to fill this gap. The book is designed to be suitable for graduate students in engineering science, for senior undergraduate students as well as for scientists and engineers who are interested in electromagnetic fields. Objective Numerical calculation is the combination of mathematical methods and field theory. A great number of mathematical concepts, principles and techniques are discussed and many computational techniques are considered in dealing with practical problems. The purpose of this book is to provide students with a solid background in numerical analysis of the field problems. The book emphasizes the basic theories and universal principles of different numerical methods and describes why and how different methods work. Readers will then understand any methods which have not been introduced and will be able to develop their own new methods. Organization Many of the most important numerical methods are covered in this book. All of these are discussed and compared with each other so that the reader has a clear picture of their particular advantage, disadvantage and the relation between each of them. The book is divided into four parts and twelve chapters.
Book Synopsis Modern Methods in Operator Theory and Harmonic Analysis by : Alexey Karapetyants
Download or read book Modern Methods in Operator Theory and Harmonic Analysis written by Alexey Karapetyants and published by Springer Nature. This book was released on 2019-08-28 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018. The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory, differential equations and fractional analysis – all fields that have been intensively developed in recent decades. Direct and inverse problems arising in mathematical physics are studied and new methods for solving them are presented. Complex multiparameter objects that require the involvement of operators with variable parameters and functional spaces, with fractional and even variable exponents, make these approaches all the more relevant. Given its scope, the book will especially benefit researchers with an interest in new trends in harmonic analysis and operator theory, though it will also appeal to graduate students seeking new and intriguing topics for further investigation.
Book Synopsis The mathematical analysis of electrical and optical wave-motion on the basis of Maxwell's equations by : Harry Bateman
Download or read book The mathematical analysis of electrical and optical wave-motion on the basis of Maxwell's equations written by Harry Bateman and published by CUP Archive. This book was released on 2018-10-13 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Integral Equation Methods for Electromagnetic and Elastic Waves by : Weng Cho Chew
Download or read book Integral Equation Methods for Electromagnetic and Elastic Waves written by Weng Cho Chew and published by Morgan & Claypool Publishers. This book was released on 2009 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms
Book Synopsis Field Theory Handbook by : Parry Moon
Download or read book Field Theory Handbook written by Parry Moon and published by Springer. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let us first state exactly what this book is and what it is not. It is a compendium of equations for the physicist and the engineer working with electrostatics, magne tostatics, electric currents, electromagnetic fields, heat flow, gravitation, diffusion, optics, or acoustics. It tabulates the properties of 40 coordinate systems, states the Laplace and Helmholtz equations in each coordinate system, and gives the separation equations and their solutions. But it is not a textbook and it does not cover relativistic and quantum phenomena. The history of classical physics may be regarded as an interplay between two ideas, the concept of action-at-a-distance and the concept of a field. Newton's equation of universal gravitation, for instance, implies action-at-a-distance. The same form of equation was employed by COULOMB to express the force between charged particles. AMPERE and GAUSS extended this idea to the phenomenological action between currents. In 1867, LUDVIG LORENZ formulated electrodynamics as retarded action-at-a-distance. At almost the same time, MAXWELL presented the alternative formulation in terms of fields. In most cases, the field approach has shown itself to be the more powerful.
Book Synopsis Functional-analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations by : Helmut Florian
Download or read book Functional-analytic and Complex Methods, Their Interactions, and Applications to Partial Differential Equations written by Helmut Florian and published by World Scientific. This book was released on 2001 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations.This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws.
Book Synopsis Applications Of Nonstandard Finite Difference Schemes by : Ronald E Mickens
Download or read book Applications Of Nonstandard Finite Difference Schemes written by Ronald E Mickens and published by World Scientific. This book was released on 2000-03-29 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to provide a concise introduction to the methods and philosophy of constructing nonstandard finite difference schemes and illustrate how such techniques can be applied to several important problems. Chapter 1 gives an overview of the subject and summarizes previous work. Chapters 2 and 3 consider in detail the construction and numerical implementation of schemes for physical problems involving convection-diffusion-reaction equations that arise in groundwater pollution and scattering of electromagnetic waves using Maxwell's equations. Chapter 4 examines certain mathematical issues related to the nonstandard discretization of competitive and cooperative models for ecology. Chapter 5 discusses exactness, stability properties, and the symplecticity of various schemes including the conditions for which Runge-Kutta methods are exact. The application chapters illustrate well the power of nonstandard methods. In particular, for the same accuracy as obtained by standard techniques, larger step sizes can be used.This volume will satisfy the needs of scientists, engineers, and mathematicians who wish to know how to construct nonstandard schemes and see how these are applied to obtain numerical solutions of the differential equations which arise in the study of nonlinear dynamical systems modeling important physical phenomena.
Book Synopsis Electrodynamics: A Concise Introduction by : James B. Westgard
Download or read book Electrodynamics: A Concise Introduction written by James B. Westgard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is intended for advanced undergraduates or beginning graduates. It is based on the notes from courses I have taught at Indiana State University from 1967 to the present. The preparation needed is an introductory calculus-based course in physics and its prerequisite calculus courses. Courses in vector analysis and differential equations are useful but not required, since the text introduces these topics. In writing this book, I tried to keep my own experience as a stu dent in mind and to write the kind of book I liked to read. That goal determined the choice of topics, their order, and the method of presentation. The organization of the book is intended to encourage independent study. Accordingly, I have made every effort to keep the material self-contained, to develop the mathematics as it is needed, and to present new material by building incrementally on preceding material. In organizing the text, I have taken care to give explicit cross references, to show the intermediate steps in calculations, and to give many examples. Provided they are within the mathematical scope of this book, I have preferred elegant mathematical treatments over more ad hoc ones, not only for aesthetic reasons, but because they are often more profound and indicate connections to other branches of physics. I have emphasized physical understanding by presenting mechanical models. This book is organized somewhat differently from the traditional textbook at this level.
Book Synopsis Numerical Modeling for Electromagnetic Non-Destructive Evaluation by : N. Ida
Download or read book Numerical Modeling for Electromagnetic Non-Destructive Evaluation written by N. Ida and published by Springer Science & Business Media. This book was released on 1994-12-31 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on numerical methods applied to the analysis of electromagnetic nondestructive testing (NOT) phenomena is the first in a series devoted to all aspects of engineering nondestructive evaluation. The timing of this series is most appropriate as many university engineering/physics faculties around the world, recognizing the industrial significance of the subject, are organizing new courses and programs with engineering NOE as a theme. Additional texts in the series will cover electromagnetics for engineering NOE, microwave NOT methods, ultrasonic testing, radiographic methods and signal processing for NOE. It is the intended purpose of the series to provide senior-graduate level coverage of the material suitable for university curricula and to be generally useful to those in industry with engineering degrees who wish to upgrade their NOE skills beyond those needed for certification. This dual purpose for the series reflects the very applied nature of NOE and the need to develop suitable texts capable of bridging the gap between research laboratory studies of NOE phenomena and the real world of certification and industrial applications. The reader might be tempted to question these assertions in light of the rather mathematical nature of this first text. However, the subject of numerical modeling is of critical importance to a thorough understanding of the field-defect interactions at the heart of all electromagnetic NOT phenomena.
Book Synopsis Symmetries of Maxwell’s Equations by : W.I. Fushchich
Download or read book Symmetries of Maxwell’s Equations written by W.I. Fushchich and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the fina\ question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu\ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Book Synopsis The Classical Electromagnetic Field by : Leonard Eyges
Download or read book The Classical Electromagnetic Field written by Leonard Eyges and published by Courier Dover Publications. This book was released on 1980 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Classical Electromagnetic Field emphasizes physics first, then mathematics. This and the fact that lucid exposition of theory receives priority over subsequent manipulation marks the book unusual, not to say unique, among field physics texts for advanced undergraduates and graduate students. Long experience of and dissatisfaction with existing texts used in teaching electromagnetic theory at MIT prompted the author to clarify his own approach, resulting in this book. Dr. Eyges is now a Senior Research Physicist at the Rome Air Development Center, Hanscom Air Force Base. Electromagnetic theory is basic to classical and relativistic physics at every level. This text covers material for a year's course in advanced theoretical electromagnetism, at all times keeping mathematics ancillary to the physics. Prior knowledge of differential equations and vector analysis will prepare the reader for inquiry into: • meaning and definition of vectors D and H inside matter • interpretations of the conservation laws for energy, momentum and angular momentum • localization and flow of electromagnetic energy • concepts of invariance, form invariance and covariance in special relativity Summation problems form a kind of pattern in treating all the topics, which include general boundary value, dielectrics, time-varying fields, time-harmonic currents and propagation in imperfect conductors. Problems (no solutions) and references (annotated) are found at the end of each chapter; a general bibliography is also appended. Students have discovered this book in its earlier hardcover edition to be a stimulating exploration of theory, self-contained and suitable for unsupervised study; physicists and professors will find more than one fresh insight into their field.
Book Synopsis Non-Linear Differential Equations by : Frankie Murray &
Download or read book Non-Linear Differential Equations written by Frankie Murray & and published by Scientific e-Resources. This book was released on 2019-11-02 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regarding the matter of differential equations a considerable number of rudimentary books have been composed. This book overcomes any issues between rudimentary courses and the examination writing. The essential ideas important to contemplate differential equations - basic focuses and balance, occasional arrangements, invariant sets and invariant manifolds - are examined. Security hypothesis is created beginning with linearisation methods backpedaling to Lyapunov and Poincare. The global direct method is then examined. To acquire more quantitative data the Poincare-Lindstedt method is acquainted with estimated occasional arrangements while in the meantime demonstrating presence by the certain capacity hypothesis. The method of averaging is presented as a general estimation standardization method. The last four sections acquaint the peruser with unwinding motions, bifurcation hypothesis, focus manifolds, disarray in mappings and differential equations, Hamiltonian frameworks (repeat, invariant tori, intermittent arrangements). The book displays the subject material from both the subjective and the quantitative perspective. There are numerous cases to delineate the hypothesis and the peruser ought to have the capacity to begin doing research in the wake of concentrate this book.
Book Synopsis Coupled Electromagnetic Field/Circuit Simulation. Modeling and Numerical Analysis by : Sascha Baumanns
Download or read book Coupled Electromagnetic Field/Circuit Simulation. Modeling and Numerical Analysis written by Sascha Baumanns and published by Logos Verlag Berlin GmbH. This book was released on 2012 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today's most commonly used circuit models increasingly tend to lose their validity in circuit simulation due to rapid technological developments, miniaturization and increased complexity of integrated circuits. The starting point of this thesis was to tackle these challenges by refining the critical parts of the circuit by combining circuit simulation directly with distributed device models. The approach set out in this thesis couples partial differential equations for electromagnetic devices - modeled by Maxwell's equations -, to differential-algebraic equations, which describe basic circuit elements including memristors and the circuit's topology. First, Maxwell's equations are spatially discretized and a potential formulation is derived, the coupled system is then formulated as a differential-algebraic equation with a properly stated leading term and analyzed. Topological and modeling conditions are presented to guarantee the tractability index of these differential-algebraic equations to be no greater than two. Finally, local solvability, perturbation results and an algorithm to calculate consistent initializations are derived for a general class of differential-algebraic equations with a properly stated leading term having tractability index-2.
Download or read book Field Theory Handbook written by P Moon and published by . This book was released on 1985-02-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
