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Mathematical Foundations of Computational Electromagnetism, Franck Assous; Patrick Ciarlet; Simon Labrunie


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Автор: Franck Assous; Patrick Ciarlet; Simon Labrunie
Название:  Mathematical Foundations of Computational Electromagnetism
ISBN: 9783030099978
Издательство: Springer
Классификация:




ISBN-10: 3030099970
Обложка/Формат: Soft cover
Страницы: 458
Вес: 0.71 кг.
Дата издания: 2018
Серия: Applied Mathematical Sciences
Язык: English
Издание: Softcover reprint of
Иллюстрации: 7 illustrations, black and white; ix, 458 p. 7 illus.
Размер: 234 x 156 x 24
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwells 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.
Дополнительное описание: Foreword.- Physical framework and models.- Electromagnetic fields and Maxwell’s equations.- Stationary equations.- Coupling with other models.- Approximate models.- Elements of mathematical classifications.- Boundary conditions and radiation conditions.-



Introduction to electrodynamics. 4 ed.

Автор: Griffiths, David J. (Reed College, Oregon)
Название: Introduction to electrodynamics. 4 ed.
ISBN: 1108420419 ISBN-13(EAN): 9781108420419
Издательство: Cambridge Academ
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Цена: 8710.00 р.
Наличие на складе: Поставка под заказ.

Описание: A re-issued and affordable edition of the well-known undergraduate electrodynamics textbook. The Fourth Edition provides a rigorous, yet clear and accessible treatment of the fundamentals of electromagnetic theory and offers a sound platform for explorations of related applications (AC circuits, transmission lines, plasmas, optics and more).

Electricity and Magnetism for Mathematicians

Автор: Garrity
Название: Electricity and Magnetism for Mathematicians
ISBN: 1107078202 ISBN-13(EAN): 9781107078208
Издательство: Cambridge Academ
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Цена: 16790.00 р.
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Описание: Almost all current descriptions of the fundamental laws of the universe can be viewed as deep generalizations of Maxwell`s equations, which have led to some of the most important mathematical discoveries of the past thirty years. This text introduces some of the mathematical wonders of these equations.

Problems in Classical Electromagnetism

Автор: Andrea Macchi; Giovanni Moruzzi; Francesco Pegorar
Название: Problems in Classical Electromagnetism
ISBN: 3319631322 ISBN-13(EAN): 9783319631325
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This book contains 157 problems in classical electromagnetism, most of them new and original compared to those found in other textbooks. Each problem is presented with a title in order to highlight its inspiration in different areas of physics or technology, so that the book is also a survey of historical discoveries and applications of classical electromagnetism. The solutions are complete and include detailed discussions, which take into account typical questions and mistakes by the students.

Without unnecessary mathematical complexity, the problems and related discussions introduce the student to advanced concepts such as unipolar and homopolar motors, magnetic monopoles, radiation pressure, angular momentum of light, bulk and surface plasmons, radiation friction, as well as to tricky concepts and ostensible ambiguities or paradoxes related to the classical theory of the electromagnetic field. With this approach the book is both a teaching tool for undergraduates in physics, mathematics and electric engineering, and a reference for students wishing to work in optics, material science, electronics, plasma physics.

Computational Electromagnetism

Автор: Alfredo Berm?dez de Castro; Alberto Valli; Houssem
Название: Computational Electromagnetism
ISBN: 3319193058 ISBN-13(EAN): 9783319193052
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Preface, Ralf Hiptmair: Maxwell's Equations: Continuous and Discrete Peter Monk: Numerical Methods for Maxwell's Equations, Rodolfo Rodriguez: Numerical Approximation of Low-Frequency Problems; Houssem Haddar: Inverse Electromagnetic Scattering Problems.

Infinite-Space Dyadic Green Functions in Electromagnetism

Автор: Faryad Muhammad, Lakhtakia Akhlesh
Название: Infinite-Space Dyadic Green Functions in Electromagnetism
ISBN: 1681745569 ISBN-13(EAN): 9781681745565
Издательство: Mare Nostrum (Eurospan)
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Цена: 10811.00 р.
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Описание: In any linear system, the input and the output are connected by means of a linear operator. When the input can be notionally represented by a function that is null valued everywhere except at a specific location in spacetime, the corresponding output is called the Green function in field theories. Dyadic Green functions are commonplace in electromagnetics, because both the input and the output are vector functions of space and time. This book provides a survey of the state-of-the-art knowledge of infinite space dyadic Green functions.

Electricity and Magnetism for Mathematicians

Автор: Garrity
Название: Electricity and Magnetism for Mathematicians
ISBN: 1107435161 ISBN-13(EAN): 9781107435162
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: Almost all current descriptions of the fundamental laws of the universe can be viewed as deep generalizations of Maxwell`s equations, which have led to some of the most important mathematical discoveries of the past thirty years. This text introduces some of the mathematical wonders of these equations.

Mathematical Foundations of Computational Electromagnetism

Автор: Franck Assous; Patrick Ciarlet; Simon Labrunie
Название: Mathematical Foundations of Computational Electromagnetism
ISBN: 3319708414 ISBN-13(EAN): 9783319708416
Издательство: Springer
Рейтинг:
Цена: 16769.00 р.
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Описание: 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.

Computational Methods in Geophysical Electromagnetics

Автор: Haber
Название: Computational Methods in Geophysical Electromagnetics
ISBN: 1611973791 ISBN-13(EAN): 9781611973792
Издательство: Mare Nostrum (Eurospan)
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Цена: 10395.00 р.
Наличие на складе: Нет в наличии.

Описание: Bridging the gap between theory and applications, this monograph provides a framework for the solution of electromagnetic imaging problems in geophysics. It provides a simple explanation of finite volume discretization; a full description of the basic concepts for solving inverse problems through optimization; a summary of applied electromagnetics methods; and MATLAB® code for efficient computation. The book will appeal to students and practitioners interested in computational science, data fitting, and applications to electromagnetics.

Theory of Electromagnetic Pulses

Автор: John Lekner
Название: Theory of Electromagnetic Pulses
ISBN: 1643270192 ISBN-13(EAN): 9781643270197
Издательство: Mare Nostrum (Eurospan)
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Цена: 6930.00 р.
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Описание: This short monograph presents the theory of electromagnetic pulses in a simple and physical way. All pulses discussed are exact solutions of the Maxwell equations, and have finite energy, momentum and angular momentum. There are five chapters: on Fundamentals, Solutions of the Wave Equation, Electromagnetic Pulses, Angular Momentum, and Lorentz Transformations. Nine Appendices cover mathematical or associated aspects, such as chiral measures of electromagnetic fields. The subject matter is restricted to free-space classical electrodynamics, but contact is made with quantum theory in proofs that causal pulses are equivalent to superpositions of photons.

Theory of Electromagnetic Pulses

Автор: John Lekner
Название: Theory of Electromagnetic Pulses
ISBN: 1643270230 ISBN-13(EAN): 9781643270234
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 9979.00 р.
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Описание: This short monograph presents the theory of electromagnetic pulses in a simple and physical way. All pulses discussed are exact solutions of the Maxwell equations, and have finite energy, momentum and angular momentum. There are five chapters: on Fundamentals, Solutions of the Wave Equation, Electromagnetic Pulses, Angular Momentum, and Lorentz Transformations. Nine Appendices cover mathematical or associated aspects, such as chiral measures of electromagnetic fields. The subject matter is restricted to free-space classical electrodynamics, but contact is made with quantum theory in proofs that causal pulses are equivalent to superpositions of photons.

Fundamentals Of Theoretical Plasma Physics: Mathematical Description Of Plasma Waves

Автор: Lee Hee J
Название: Fundamentals Of Theoretical Plasma Physics: Mathematical Description Of Plasma Waves
ISBN: 9813276754 ISBN-13(EAN): 9789813276758
Издательство: World Scientific Publishing
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Цена: 19008.00 р.
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Описание:

This book is written as a senior undergraduate and graduate textbook of theoretical plasma physics; topics include Boltzmann equation, two-fluid equations, magnetohydrodynamics, Vlasov-Maxwell Plasma, absolute and convective instabilities, fundamental kinetic theory, Lenard-Balescu equation, electric fluctuation, plasma electrodynamics and causality, nonlinear waves, inverse scattering method, surface waves, and dusty plasma. It also includes special topics like parametric instabilities and kinetic theory of surface waves in a plasma slab.

The development of theory is presented through gentle mathematical steps through easy and straightforward demonstration. The readers will be able to appreciate the beauty of mathematical analysis in connection with theoretical plasma physics.

Photonic Reservoir Computing

Автор: Brunner Daniel
Название: Photonic Reservoir Computing
ISBN: 3110582007 ISBN-13(EAN): 9783110582000
Издательство: Walter de Gruyter
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Цена: 26024.00 р.
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Описание: Photonics has long been considered an attractive substrate for next generation implementations of machine-learning concepts. Reservoir Computing tremendously facilitated the realization of recurrent neural networks in analogue hardware. This concept exploits the properties of complex nonlinear dynamical systems, giving rise to photonic reservoirs implemented by semiconductor lasers, telecommunication modulators and integrated photonic chips.


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