Green`s Functions: Construction and Applications, Yuri A. Melnikov, Max Y. Melnikov

Автор: Friedel Hartmann
Название: Green`s Functions and Finite Elements
ISBN: 3642429238 ISBN-13(EAN): 9783642429231
Издательство: Springer
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Цена: 113180.00 T
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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."

Автор: Eleftherios N. Economou
Название: Green`s Functions in Quantum Physics
ISBN: 3642066917 ISBN-13(EAN): 9783642066917
Издательство: Springer
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Цена: 149060.00 T
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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: Karl K. Sabelfeld, Irina A. Shalimova
Название: Spherical and Plane Integral Operators for PDEs: Construction, Analysis, and Applications
ISBN: 3110315297 ISBN-13(EAN): 9783110315295
Издательство: Walter de Gruyter
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Цена: 185890.00 T
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Описание: The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.

Автор: Yuri A. Melnikov; Volodymyr N. Borodin
Название: Green`s Functions
ISBN: 3319572423 ISBN-13(EAN): 9783319572420
Издательство: Springer
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Цена: 93160.00 T
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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: 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
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Цена: 46570.00 T
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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: I.M. Gel`fand, N. Ya. Vilenkin
Название: Generalized Functions, Volume 4: Applications of Harmonic Analysis
ISBN: 1470426625 ISBN-13(EAN): 9781470426620
Издательство: Mare Nostrum (Eurospan)
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Цена: 57690.00 T
Наличие на складе: Невозможна поставка.
Описание: The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gelfand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory.The main goal of Volume 4 is to develop the functional analysis setup for the universe of generalized functions. The main notion introduced in this volume is the notion of rigged Hilbert space (also known as the equipped Hilbert space, or Gelfand triple). Such space is, in fact, a triple of topological vector spaces $E \subset H \subset E'$, where $H$ is a Hilbert space, $E'$ is dual to $E$, and inclusions $E\subset H$ and $H\subset E'$ are nuclear operators. The book is devoted to various applications of this notion, such as the theory of positive definite generalized functions, the theory of generalized stochastic processes, and the study of measures on linear topological spaces.

Автор: Kazumi Watanabe
Название: Integral Transform Techniques for Green`s Function
ISBN: 3319345877 ISBN-13(EAN): 9783319345871
Издательство: Springer
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Цена: 95770.00 T
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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: Matest M. Agrest; Henry Eason Fettis; J.W. Goresh;
Название: Theory of Incomplete Cylindrical Functions and their Applications
ISBN: 3642650236 ISBN-13(EAN): 9783642650239
Издательство: Springer
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Цена: 88500.00 T
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Описание: In preparing the Bibliography, works having an English equivalent have been translated into the English title, but in the text the referenee to the Russian work was retained, as it was impraetieal to attempt to find in eaeh ease the eorresponding eitation in the English edition.

Автор: Kazumi Watanabe
Название: Integral Transform Techniques for Green`s Function
ISBN: 3319174541 ISBN-13(EAN): 9783319174549
Издательство: Springer
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Цена: 121890.00 T
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.