Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics
DOWNLOAD
Download Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics
DOWNLOAD
Author : G. F. Roach
language : en
Publisher: Princeton University Press
Release Date : 2012-03-04
Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics written by G. F. Roach and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-04 with Mathematics categories.
Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians.
Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics
DOWNLOAD
Author : Gary Francis Roach
language : en
Publisher:
Release Date : 2012
Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics written by Gary Francis Roach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Electromagnetism categories.
Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians.
Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics
DOWNLOAD
Author : G. F. Roach
language : en
Publisher: Princeton University Press
Release Date : 2012-03-04
Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics written by G. F. Roach and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-04 with Mathematics categories.
Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians.
Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics
DOWNLOAD
Author : Roach, Gary Francis Roach
language : en
Publisher:
Release Date : 2012
Mathematical Analysis Of Deterministic And Stochastic Problems In Complex Media Electromagnetics written by Roach, Gary Francis Roach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Electromagnetism categories.
Adventures In Contemporary Electromagnetic Theory
DOWNLOAD
Author : Tom G. Mackay
language : en
Publisher: Springer Nature
Release Date : 2023-07-31
Adventures In Contemporary Electromagnetic Theory written by Tom G. Mackay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-31 with Technology & Engineering categories.
This book describes the most recent advances in electromagnetic theory, motivated and partly informed by developments in engineering science and nanotechnology. The collection of chapters provided in this edited book, authored by leading experts in the field, offers a bird’s eye view of recent progress in electromagnetic theory, spanning a wide range of topics of current interest, ranging from fundamental issues to applications.
Numerical Approximations Of Stochastic Maxwell Equations
DOWNLOAD
Author : Chuchu Chen
language : en
Publisher: Springer Nature
Release Date : 2024-01-04
Numerical Approximations Of Stochastic Maxwell Equations written by Chuchu Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-04 with Mathematics categories.
The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems. This book provides some recent advances in the investigation of numerical approximations of the stochastic Maxwell equations via structure-preserving algorithms. It presents an accessible overview of the construction and analysis of structure-preserving algorithms with an emphasis on the preservation of geometric structures, physical properties, and asymptotic behaviors of the stochastic Maxwell equations. A friendly introduction to the simulation of the stochastic Maxwell equations with some structure-preserving algorithms is provided using MATLAB for the reader’s convenience. The objects considered in this book are related to several fascinating mathematical fields: numerical analysis, stochastic analysis, (multi-)symplectic geometry, large deviations principle, ergodic theory, partial differential equation, probability theory, etc. This book will appeal to researchers who are interested in these topics.
Mathematical Foundations Of Computational Electromagnetism
DOWNLOAD
Author : Franck Assous
language : en
Publisher: Springer
Release Date : 2018-06-09
Mathematical Foundations Of Computational Electromagnetism written by Franck Assous and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-09 with Mathematics categories.
This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well‐posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell’s equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations. The book addresses mainly researchers in applied mathematics who work on Maxwell’s equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.
Mathematical Methods In Elasticity Imaging
DOWNLOAD
Author : Habib Ammari
language : en
Publisher: Princeton University Press
Release Date : 2015-04-06
Mathematical Methods In Elasticity Imaging written by Habib Ammari and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-06 with Mathematics categories.
This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and cracks within the context of stability and resolution, and introduces a topological derivative–based imaging framework for detecting elastic inclusions in the time-harmonic regime. For imaging extended elastic inclusions, accurate optimal control methodologies are designed and the effects of uncertainties of the geometric or physical parameters on stability and resolution properties are evaluated. In particular, the book shows how localized damage to a mechanical structure affects its dynamic characteristics, and how measured eigenparameters are linked to elastic inclusion or crack location, orientation, and size. Demonstrating a novel method for identifying, locating, and estimating inclusions and cracks in elastic structures, the book opens possibilities for a mathematical and numerical framework for elasticity imaging of nanoparticles and cellular structures.
Optimization And Learning Via Stochastic Gradient Search
DOWNLOAD
Author : Felisa Vázquez-Abad
language : en
Publisher: Princeton University Press
Release Date : 2025-10-28
Optimization And Learning Via Stochastic Gradient Search written by Felisa Vázquez-Abad and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-10-28 with Mathematics categories.
An introduction to gradient-based stochastic optimization that integrates theory and implementation This book explains gradient-based stochastic optimization, exploiting the methodologies of stochastic approximation and gradient estimation. Although the approach is theoretical, the book emphasizes developing algorithms that implement the methods. The underlying philosophy of this book is that when solving real problems, mathematical theory, the art of modeling, and numerical algorithms complement each other, with no one outlook dominating the others. The book first covers the theory of stochastic approximation including advanced models and state-of-the-art analysis methodology, treating applications that do not require the use of gradient estimation. It then presents gradient estimation, developing a modern approach that incorporates cutting-edge numerical algorithms. Finally, the book culminates in a rich set of case studies that integrate the concepts previously discussed into fully worked models. The use of stochastic approximation in statistics and machine learning is discussed, and in-depth theoretical treatments for selected gradient estimation approaches are included. Numerous examples show how the methods are applied concretely, and end-of-chapter exercises enable readers to consolidate their knowledge. Many chapters end with a section on “Practical Considerations” that addresses typical tradeoffs encountered in implementation. The book provides the first unified treatment of the topic, written for a wide audience that includes researchers and graduate students in applied mathematics, engineering, computer science, physics, and economics.
Topics In Quaternion Linear Algebra
DOWNLOAD
Author : Leiba Rodman
language : en
Publisher: Princeton University Press
Release Date : 2014-08-24
Topics In Quaternion Linear Algebra written by Leiba Rodman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-24 with Mathematics categories.
Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.