Integral Transform Techniques for Green`s Function, Kazumi Watanabe
Автор: Rother, Tom Название: Green`s functions in classical physics ISBN: 3319524364 ISBN-13(EAN): 9783319524368 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents the Green's function formalism in a basic way and demonstrates its usefulness for applications to several well-known problems in classical physics which are usually solved not by this formalism but other approaches. The book bridges the gap between applications of the Green's function formalism in quantum physics and classical physics. This book is written as an introduction for graduate students and researchers who want to become more familiar with the Green's function formalism.
In 1828 George Green has published an essay that was unfortunately sunken into oblivion shortly after its publication. It was rediscovered only after several years by the later Lord Kelvin. But since this time, using Green's functions for solving partial differential equations in physics has become an important mathematical tool. While the conceptual and epistemological importance of these functions were essentially discovered and discussed in modern physics - especially in quantum field theory and quantum statistics - these aspects are rarely touched in classical physics. In doing it, this book provides an interesting and sometimes new point of view on several aspects and problems in classical physics, like the Kepler motion or the description of certain classical probability experiments in finite event spaces. A short outlook on quantum mechanical problems concludes this book.
Автор: Yuri A. Melnikov; Volodymyr N. Borodin Название: Green`s Functions ISBN: 3319572423 ISBN-13(EAN): 9783319572420 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green`s functions from scratch.
Автор: Eleftherios N. Economou Название: Green`s Functions in Quantum Physics ISBN: 3642066917 ISBN-13(EAN): 9783642066917 Издательство: Springer Рейтинг: Цена: 22359.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Green's Functions in Mathematical Physics.- Time-Independent Green's Functions.- Time-Dependent Green's Functions.- Green's Functions in One-Body Quantum Problems.- Physical Significance of G. Application to the Free-Particle Case.- Green's Functions and Perturbation Theory.- Green's Functions for Tight-Binding Hamiltonians.- Single Impurity Scattering.- Two or More Impurities; Disordered Systems.- Electrical Conductivity and Green's Functions.- Localization, Transport, and Green's Functions.- Green's Functions in Many-Body Systems.- Definitions.- Properties and Use of the Green's Functions.- Calculational Methods for g.- Applications.
Автор: Pan Название: Static Green`s Functions in Anisotropic Media ISBN: 1107034809 ISBN-13(EAN): 9781107034808 Издательство: Cambridge Academ Рейтинг: Цена: 21384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents basic theory on static Green`s functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. It is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.
Автор: Kazumi Watanabe Название: Integral Transform Techniques for Green`s Function ISBN: 3319174541 ISBN-13(EAN): 9783319174549 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes mathematical techniques for integral transforms in a detailed but concise manner. Further, an exact closed form Green`s function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.
Автор: Vladimir Maz`ya; Alexander Movchan; Michael Nieves Название: Green`s Kernels and Meso-Scale Approximations in Perforated Domains ISBN: 3319003569 ISBN-13(EAN): 9783319003566 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Part I: Green's functions in singularly perturbed domains: Uniform asymptotic formulae for Green's functions for the Laplacian in domains with small perforations.- Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green's kernels.- Green's function for the Dirichlet boundary value problem in a domain with several inclusions.- Numerical simulations based on the asymptotic approximations.- Other examples of asymptotic approximations of Green's functions in singularly perturbed domains.- Part II: Green's tensors for vector elasticity in bodies with small defects: Green's tensor for the Dirichlet boundary value problem in a domain with a single inclusion.- Green's tensor in bodies with multiple rigid inclusions.- Green's tensor for the mixed boundary value problem in a domain with a small hole.- Part III Meso-scale approximations. Asymptotic treatment of perforated domains without homogenization: Meso-scale approximations for solutions of Dirichlet problems.- Mixed boundary value problems in multiply-perforated domains.
Автор: Friedel Hartmann Название: Green`s Functions and Finite Elements ISBN: 3642429238 ISBN-13(EAN): 9783642429231 Издательство: Springer Рейтинг: Цена: 16977.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book shows how Finite Elements fulfill the strategy of Green`s functions, helping the reader to better assess solutions of standard programs and to find the optimal model of a given problem. Covers discretization error and "goal oriented refinement."
Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations, and especially partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and as PhD research preparation in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs are limited, and their sources precisely identifie d, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature.
Provides an introduction to the mathematical techniques widely used in applied mathematics and needed for advanced research
Establishes the advanced background needed for sophisticated literature review and research in both differential and integral equations
Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics
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