Electromagnetic Theory and Computation

A Topological Approach
Author: Paul Wolfgang Gross,P. Robert Kotiuga
Publisher: Cambridge University Press
ISBN: 9780521801607
Category: Mathematics
Page: 278
View: 1940
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Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents. Appendices bridge the gap between the material presented and standard expositions of differential forms, Hodge decompositions, and tools for realizing representatives of homology classes as embedded manifolds.

The Cell Method for Electrical Engineering and Multiphysics Problems

An Introduction
Author: Piergiorgio Alotto,Fabio Freschi,Maurizio Repetto,Carlo Rosso
Publisher: Springer Science & Business Media
ISBN: 3642361013
Category: Mathematics
Page: 129
View: 6512
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This book presents a numerical scheme for the solution of field problems governed by partial differential equations: the cell method. The technique lends itself naturally to the solution of multiphysics problems with several interacting phenomena. The Cell Method, based on a space-time tessellation, is intimately related to the work of Tonti and to his ideas of classification diagrams or, as they are nowadays called, Tonti diagrams: a graphical representation of the problem's equations made possible by a suitable selection of a space-time framework relating physical variables to each other. The main features of the cell method are presented and links with many other discrete numerical methods (finite integration techniques, finite difference time domain, finite volumes, mimetic finite differences, etc.) are discussed. After outlining the theoretical basis of the method, a set of physical problems which have been solved with the cell method is described. These single and multiphysics problems stem from the authors' research experience in the fields of electromagnetism, elasticity, thermo-elasticity and others. Finally, the implementation of the numerical technique is described in all its main components: space-time discretization, problem formulation, solution and representation of the resulting physical fields.

Electricity and Magnetism for Mathematicians

A Guided Path from Maxwell's Equations to Yang-Mills
Author: Thomas A. Garrity
Publisher: Cambridge University Press
ISBN: 1107435161
Category: Mathematics
Page: 294
View: 4682
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Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.

SIAM Journal on Scientific Computing

A Publication of the Society for Industrial and Applied Mathematics
Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematical statistics
Page: N.A
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Sci-tech News


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Science and technology libraries
Page: N.A
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Trends in Commutative Algebra


Author: Luchezar L. Avramov
Publisher: Cambridge University Press
ISBN: 0521831954
Category: Mathematics
Page: 254
View: 5131
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In 2002, an introductory workshop was held at the Mathematical Sciences Research Institute in Berkeley to survey some of the many directions of the commutative algebra field. Six principal speakers each gave three lectures, accompanied by a help session, describing the interaction of commutative algebra with other areas of mathematics for a broad audience of graduate students and researchers. This book is based on those lectures, together with papers from contributing researchers. David Benson and Srikanth Iyengar present an introduction to the uses and concepts of commutative algebra in the cohomology of groups. Mark Haiman considers the commutative algebra of n points in the plane. Ezra Miller presents an introduction to the Hilbert scheme of points to complement Professor Haiman's paper. Further contributors include David Eisenbud and Jessica Sidman; Melvin Hochster; Graham Leuschke; Rob Lazarsfeld and Manuel Blickle; Bernard Teissier; and Ana Bravo.

Annales Scientifiques de L'École Normale Supérieure


Author: École normale supérieure (France)
Publisher: N.A
ISBN: N.A
Category: Electronic journals
Page: N.A
View: 6282
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Mathematical Reviews


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 871
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American Book Publishing Record


Author: N.A
Publisher: N.A
ISBN: N.A
Category: American literature
Page: N.A
View: 9961
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IEEE Circuits & Devices


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Electronics
Page: N.A
View: 9001
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Frontiers in Electromagnetics


Author: Douglas H. Werner,Raj Mittra
Publisher: Wiley-IEEE Press
ISBN: 9780780347014
Category: Science
Page: 787
View: 7456
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"FRONTIERS IN ELECTROMAGNETICS is the first all-in-one resource to bring in-depth original papers on today's major advances in long-standing electromagnetics problems. Highly regarded editors Douglas H. Werner and Raj Mittra have meticulously selected new contributed papers from preeminent researchers in the field to provide state-of-the-art discussions on emerging areas of electromagnetics. Antenna and microwave engineers and students will find key insights into current trends and techniques of electromagnetics likely to shape future directions of this increasingly important topic. Each chapter includes a comprehensive analysis and ample references on innovative subjects that range from combining electromagnetic theory with mathematical concepts to the most recent techniques in electromagnetic optimization and estimation. The contributors also present the latest developments in analytical and numerical methods for solving electromagnetics problems. With a level of expertise unmatched in the field, FRONTIERS IN ELECTROMAGNETICS provides readers with a solid foundation to understand this rapidly changing area of technology. Topics covering fast-developing applications in electromagnetics include: * Fractal electrodynamics, fractal antennas and arrays, and scattering from fractally rough surfaces * Knot electrodynamics * The role of group theory and symmetry * Fractional calculus * Lommel and multiple expansions. Professors: To request an examination copy simply e-mail [email protected]" Sponsored by: IEEE Microwave Theory and Techniques Society, IEEE Antennas and Propagation Society.

Index of Mathematical Papers


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Publisher: N.A
ISBN: N.A
Category: Mathematical reviews
Page: N.A
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Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition


Author: N.A
Publisher: ScholarlyEditions
ISBN: 1464964785
Category: Mathematics
Page: 993
View: 6470
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Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Logic, Operations, and Computational Mathematics and Geometry. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Logic, Operations, and Computational Mathematics and Geometry in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Issues in General and Specialized Mathematics Research: 2011 Edition


Author: N.A
Publisher: ScholarlyEditions
ISBN: 1464964920
Category: Mathematics
Page: 862
View: 3698
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Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Who's Who in Technology Today, 1982-1983


Author: Jan W. Churchwell,Louann Chaudier
Publisher: Primary Source Microfilm
ISBN: N.A
Category: Science
Page: 3300
View: 2118
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Directory of leading scientists and engineers who are the leaders in the most important areas of American technology. Each entry gives education, publications, achievements, area of expertise, honors, patents, and personal information.

American Book Publishing Record

BPR cumulative
Author: Bowker Staff
Publisher: R. R. Bowker
ISBN: 9780835240857
Category: Reference
Page: 17426
View: 2136
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Who's who in Technology Today


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Engineers
Page: N.A
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Publicationes mathematicae


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
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Finite-Elemente-Methoden


Author: Klaus-Jürgen Bathe
Publisher: Springer Verlag
ISBN: 9783540668060
Category: Technology & Engineering
Page: 1253
View: 4890
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Dieses Lehr- und Handbuch behandelt sowohl die elementaren Konzepte als auch die fortgeschrittenen und zukunftsweisenden linearen und nichtlinearen FE-Methoden in Statik, Dynamik, Festkörper- und Fluidmechanik. Es wird sowohl der physikalische als auch der mathematische Hintergrund der Prozeduren ausführlich und verständlich beschrieben. Das Werk enthält eine Vielzahl von ausgearbeiteten Beispielen, Rechnerübungen und Programmlisten. Als Übersetzung eines erfolgreichen amerikanischen Lehrbuchs hat es sich in zwei Auflagen auch bei den deutschsprachigen Ingenieuren etabliert. Die umfangreichen Änderungen gegenüber der Vorauflage innerhalb aller Kapitel - vor allem aber der fortgeschrittenen - spiegeln die rasche Entwicklung innerhalb des letzten Jahrzehnts auf diesem Gebiet wieder.

Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science


Author: Monica G. Cojocaru,Ilias S. Kotsireas,Roman N. Makarov,Roderick V. N. Melnik,Hasan Shodiev
Publisher: Springer
ISBN: 3319123076
Category: Computers
Page: 555
View: 3729
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The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26—30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics and its areas of applications.