Mathematical Methods In Electromagnetism: Linear Theory And Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Methods In Electromagnetism: Linear Theory And Applications write by Michel Cessenat. This book was released on 1996-07-13. Mathematical Methods In Electromagnetism: Linear Theory And Applications available in PDF, EPUB and Kindle. This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a numerical approach.As examples of applications of these tools and concepts, we solve several fundamental problems of electromagnetism, stationary or time-dependent: scattering of an incident wave by an obstacle, bounded or not, by gratings; wave propagation in a waveguide, with junctions and cascades. We hope that mathematical notions will allow a better understanding of modelization in electromagnetism and emphasize the essential features related to the geometry and nature of materials.
Mathematical Methods of Electromagnetic Theory
Mathematical Methods of Electromagnetic Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Methods of Electromagnetic Theory write by Kurt O. Friedrichs. This book was released on 2014-11-12. Mathematical Methods of Electromagnetic Theory available in PDF, EPUB and Kindle. This text provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. While written in a distinctive, modern style, Friedrichs manages to convey the physical intuition and 19th century basis of the equations, with an emphasis on conservation laws. Particularly striking features of the book include: (a) a mathematically rigorous derivation of the interaction of electromagnetic waves with matter, (b) a straightforward explanation of how to use variational principles to solve problems in electro- and magnetostatics, and (c) a thorough discussion of the central importance of the conservation of charge. It is suitable for advanced undergraduate students in mathematics and physics with a background in advanced calculus and linear algebra, as well as mechanics and electromagnetics at an undergraduate level. Apart from minor corrections to the text, the notation was updated in this edition to follow the conventions of modern vector calculus. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
Numerical Methods in Computational Electrodynamics
Numerical Methods in Computational Electrodynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods in Computational Electrodynamics write by Ursula van Rienen. This book was released on 2012-12-06. Numerical Methods in Computational Electrodynamics available in PDF, EPUB and Kindle. treated in more detail. They are just specimen of larger classes of schemes. Es sentially, we have to distinguish between semi-analytical methods, discretiza tion methods, and lumped circuit models. The semi-analytical methods and the discretization methods start directly from Maxwell's equations. Semi-analytical methods are concentrated on the analytical level: They use a computer only to evaluate expressions and to solve resulting linear algebraic problems. The best known semi-analytical methods are the mode matching method, which is described in subsection 2. 1, the method of integral equations, and the method of moments. In the method of integral equations, the given boundary value problem is transformed into an integral equation with the aid of a suitable Greens' function. In the method of moments, which includes the mode matching method as a special case, the solution function is represented by a linear combination of appropriately weighted basis func tions. The treatment of complex geometrical structures is very difficult for these methods or only possible after geometric simplifications: In the method of integral equations, the Greens function has to satisfy the boundary condi tions. In the mode matching method, it must be possible to decompose the domain into subdomains in which the problem can be solved analytically, thus allowing to find the basis functions. Nevertheless, there are some ap plications for which the semi-analytic methods are the best suited solution methods. For example, an application from accelerator physics used the mode matching technique (see subsection 5. 4).
Mathematical Foundations for Electromagnetic Theory
Mathematical Foundations for Electromagnetic Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Foundations for Electromagnetic Theory write by Donald G. Dudley. This book was released on 1994-05-18. Mathematical Foundations for Electromagnetic Theory available in PDF, EPUB and Kindle. Co-published with Oxford University Press. This highly technical and thought-provoking book stresses the development of mathematical foundations for the application of the electromagnetic model to problems of research and technology. Features include in-depth coverage of linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. This book will be of interest graduate-level students in engineering, electromagnetics, physics, and applied mathematics as well as to research engineers, physicists, and scientists.
Advances in Mathematical Methods for Electromagnetics
Advances in Mathematical Methods for Electromagnetics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Mathematical Methods for Electromagnetics write by Kazuya Kobayashi. This book was released on 2020-12-10. Advances in Mathematical Methods for Electromagnetics available in PDF, EPUB and Kindle. This book covers recent achievements in the area of advanced analytical and associated numerical methods as applied to various problems arising in all branches of electromagnetics. The unifying theme is the application of advanced or novel mathematical techniques to produce analytical solutions or effective analytical-numerical methods for computational electromagnetics addressing more general problems.
