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Mathematical and computational methods in photonics and phononics /, Habib Ammari , Brian Fitzpatrick, Hyeonbae Kang et al


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Автор: Habib Ammari , Brian Fitzpatrick, Hyeonbae Kang et al   (Аммари)
Название:  Mathematical and computational methods in photonics and phononics /
Перевод названия: Аммари: Математические и вычислительные методы в фотонике и фононике
ISBN: 9781470448004
Издательство: Mare Nostrum (Eurospan)
Классификация:




ISBN-10: 1470448009
Обложка/Формат: Hardback
Страницы: 500
Вес: 1.04 кг.
Дата издания: 30.11.2018
Серия: Mathematical surveys and monographs
Язык: English
Размер: 187 x 263 x 32
Ключевые слова: Differential calculus & equations,Mathematical physics
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Поставляется из: Англии
Описание: The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well as its technological applications. This book reviews new and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics.An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and elastic metamaterials and metasurfaces. Throughout this book, the authors demonstrate the power of layer potential techniques for solving challenging problems in photonics and phononics when they are combined with asymptotic analysis. This book might be of interest to researchers and graduate students working in the fields of applied and computational mathematics, partial differential equations, electromagnetic theory, elasticity, integral equations, and inverse and optimal design problems in photonics and phononics.
Дополнительное описание: Mathematical physics|Differential calculus and equations



Mathematical Methods of Classical Mechanics

Автор: Arnold V. I.
Название: Mathematical Methods of Classical Mechanics
ISBN: 0387968903 ISBN-13(EAN): 9780387968902
Издательство: Springer
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Цена: 7819.00 р.
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Описание: This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Recent Trends in Computational Photonics

Автор: Arti Agrawal; Trevor Benson; Richard M. De La Rue;
Название: Recent Trends in Computational Photonics
ISBN: 3319554379 ISBN-13(EAN): 9783319554372
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book brings together the recent cutting-edge work on computational methods in photonics and their applications. The latest advances in techniques such as the Discontinuous Galerkin Time Domain method, Finite Element Time Domain method, Finite Difference Time Domain method as well as their applications are presented.

Advanced mathematical methods for scientists and engineers

Автор: Bender, Carl M. (washington University, Usa) Orsza
Название: Advanced mathematical methods for scientists and engineers
ISBN: 1441931872 ISBN-13(EAN): 9781441931870
Издательство: Springer
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Цена: 10335.00 р.
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Описание: This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory and explains how to use these methods to obtain approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute-force numerical methods may not converge to useful solutions. The objective of this book is to teaching the insights and problem-solving skills that are most useful in solving mathematical problems arising in the course of modern research. Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions.

Mathematical Methods in Engineering

Автор: Powers, Joseph M. (University of Notre Dame, Indiana) Sen, Mihir (University of Notre Dame, Indiana)
Название: Mathematical Methods in Engineering
ISBN: 1107037042 ISBN-13(EAN): 9781107037045
Издательство: Cambridge Academ
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Цена: 10138.00 р.
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Описание: This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.

Mathematical Methods in Engineering and Physics

Автор: Felder
Название: Mathematical Methods in Engineering and Physics
ISBN: 1118449606 ISBN-13(EAN): 9781118449608
Издательство: Wiley
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Цена: 30246.00 р.
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Описание: This text is intended for the undergraduate course in math methods, with an audience of physics and engineering majors. As a required course in most departments, the text relies heavily on explained examples, real-world applications and student engagement.

Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics

Автор: N.H. Ibragimov; M. Torrisi; A. Valenti
Название: Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics
ISBN: 9401049084 ISBN-13(EAN): 9789401049085
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Proceedings of the International Workshop, Acireale, Catania, Italy, October 27--31, 1992

Mathematical and Computational Methods in Nuclear Physics

Автор: J.S. Dehesa; J.M.G. Gomez; A. Polls
Название: Mathematical and Computational Methods in Nuclear Physics
ISBN: 3540133925 ISBN-13(EAN): 9783540133926
Издательство: Springer
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Цена: 15672.00 р.
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Computational Mathematical Programming

Автор: Klaus Schittkowski
Название: Computational Mathematical Programming
ISBN: 3642824528 ISBN-13(EAN): 9783642824524
Издательство: Springer
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Цена: 14673.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute on Computational Mathematical Programming, Held at Bad Windsheim, Federal Republic of Germany, July 23 - August 2, 1984

Advanced Mathematical and Computational Geomechanics

Автор: Dimitrios Kolymbas
Название: Advanced Mathematical and Computational Geomechanics
ISBN: 3642073573 ISBN-13(EAN): 9783642073571
Издательство: Springer
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Цена: 30606.00 р.
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Описание: This edited book presents recent mathematical and computational tools and models to describe and simulate such problems in Geomechanics and Geotechnical Engineering.

Mathematical Frontiers in Computational Chemical Physics

Автор: Donald G. Truhlar
Название: Mathematical Frontiers in Computational Chemical Physics
ISBN: 1468463659 ISBN-13(EAN): 9781468463651
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Proceedings of the Workshop on Atomar and Molecular Structure and Dynamics, held June 15 - July 24, 1987, at the Institute for Mathematics and Its Applications, University of Minnesota

Mathematical Theory and Computational Practice

Автор: Klaus Ambos-Spies; Benedikt L?we; Wolfgang Merkle
Название: Mathematical Theory and Computational Practice
ISBN: 3642030726 ISBN-13(EAN): 9783642030727
Издательство: Springer
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Цена: 13974.00 р.
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Описание: 5th Conference on Computability in Europe CiE 2009 Heidelberg Germany July 1924 2009 Proceedings. .

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
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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.


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