Logarithmic Integral Equations In Electromagnetics
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Logarithmic Integral Equations In Electromagnetics
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Author : Yu. V. Shestopalov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05
Logarithmic Integral Equations In Electromagnetics written by Yu. V. Shestopalov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.
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Logarithmic Integral Equations In Electromagnetics
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Author : IU. IUrii Viktorovich Shestopalov
language : en
Publisher: VSP
Release Date : 2000
Logarithmic Integral Equations In Electromagnetics written by IU. IUrii Viktorovich Shestopalov and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book presents an extensive overview of logarithmic integral operators with kernels depending on one or several complex parameters. Solvability of corresponding boundary value problems and determination of characteristic numbers are analyzed by considering these operators as operator-value functions of appropriate complex (spectral) parameters. Therefore, the method serves as a useful addition to classical approaches. Special attention is given to the analysis of finite-meromorphic operator-valued functions, and explicit formulas for some inverse operators and characteristic numbers are developed, as well as the perturbation technique for the approximate solution of logarithmic integral equations. All essential properties of the generalized single- and double-layer potentials with logarithmic kernels and Green's potentials are considered. Fundamentals of the theory of infinite-matrix summation operators and operator-valued functions are presented, including applications to the solution of logarithmic integral equations. Many boundary value problems for the two-dimensional Helmholtz equation are discussed and explicit formulas for Green's function of canonical domains with separated logarithmic singularities are presented.
Acoustic And Electromagnetic Equations
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Author : Jean-Claude Nedelec
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-03-30
Acoustic And Electromagnetic Equations written by Jean-Claude Nedelec 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 2001-03-30 with Computers categories.
Acoustic and electromagnetic waves underlie a range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. This book, written by an international researcher, presents some of the research in a complete way. It is useful for graduate students in mathematics, physics, and engineering.
Special Functions Their Applications
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Author : N. N. Lebedev
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
Special Functions Their Applications written by N. N. Lebedev and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.
Operator Theory For Electromagnetics
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Author : George W. Hanson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Operator Theory For Electromagnetics written by George W. Hanson 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 2013-03-09 with Science categories.
The purpose of this book is to describe methods for solving problems in applied electromagnetic theory using basic concepts from functional anal ysis and the theory of operators. Although the book focuses on certain mathematical fundamentals, it is written from an applications perspective for engineers and applied scientists working in this area. Part I is intended to be a somewhat self-contained introduction to op erator theory and functional analysis, especially those elements necessary for application to problems in electromagnetics. The goal of Part I is to ex plain and synthesize these topics in a logical manner. Examples principally geared toward electromagnetics are provided. With the exception of Chapter 1, which serves as a review of basic electromagnetic theory, Part I presents definitions and theorems along with associated discussion and examples. This style was chosen because it allows one to readily identify the main concepts in a particular section. A proof is provided for all theorems whose proof is simple and straightforward. A proof is also provided for theorems that require a slightly more elaborate proof, yet one that is especially enlightening, being either constructive or illustrative. Generally. theorems are stated but not proved in cases where either the proof is too involved or the details of the proof would take one too far afield of the topic at hand, such as requiring additional lemmas that are not clearly useful in applications.
Numerical Analysis For Electromagnetic Integral Equations
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Author : Karl F. Warnick
language : en
Publisher: Artech House
Release Date : 2008
Numerical Analysis For Electromagnetic Integral Equations written by Karl F. Warnick and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Introduction -- Surface integral equation formulations and the method of moments -- Error analysis of the EFIE / with W.C. Chew -- Error analysis of the MFIE and CFIE / with C.P. Davis -- Geometrical singularities and the flat strip -- Resonant structures -- Error analysis for 3D problems -- Higher-order basis functions / with A.F. Peterson -- Operator spectra and iterative solution methods.
Optical Waveguide Theory
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Author : Yury Shestopalov
language : en
Publisher: Springer Nature
Release Date : 2022-03-26
Optical Waveguide Theory written by Yury Shestopalov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-26 with Science categories.
This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption. It also looks into spectral properties of wave propagation for the waveguide families being considered, and the relevant mathematical techniques such as spectral theory of non-self-adjoint operator-valued functions are described, including rigorous proofs of the existence of various types of waves. Further, numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures are also described in depth. The book is beneficial to a broad spectrum of readers ranging from pure and applied mathematicians in electromagnetic field theory to researchers and engineers who are familiar with mathematics. Further, it is also useful as a supplementary text for upper-level undergraduate students interested in learning more advanced topics of mathematical methods in electromagnetics.
Advances In Applied Mathematics And Approximation Theory
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Author : George A. Anastassiou
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08
Advances In Applied Mathematics And Approximation Theory written by George A. Anastassiou 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 2014-07-08 with Mathematics categories.
Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics.
Recent Advances In Integral Equations
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Author :
language : en
Publisher:
Release Date : 2019
Recent Advances In Integral Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Electromagnetic Probes Of Fundamental Physics
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Author : William J. Marciano
language : en
Publisher: World Scientific
Release Date : 2003
Electromagnetic Probes Of Fundamental Physics written by William J. Marciano and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
This book constitutes the proceedings of a workshop which originated from a discussion with Professor A Zichichi in March 2001. The purpose of the meeting was to celebrate two developments at Brookhaven that, in both cases, are the outcome of more than a decade of preparation: the new muon g-2 measurement and the flood of data that started pouring out of RHIC. Bringing together people from these very different fields was an interesting challenge. But, at the time, when a small community of heavy ion physicists was beginning to define a program of electromagnetic interactions at RHIC and LHC, it seemed logical. The result is the white paper ?Hot Topics in Ultra-peripheral Collisions?.On Fermi's centennial, his original paper, developing for the first time the equivalent photon approximation, seemed to merit renewed attention. The paper has been translated into English from the Italian and included in the proceedings.