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Green S Functions In Applied Mechanics

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Green S Functions In Applied Mechanics

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Author : Yu. A. Melnikov
language : en
Publisher: Computational Mechanics
Release Date : 1995

Green S Functions In Applied Mechanics written by Yu. A. Melnikov and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.

This book is probably the first attempt to make this special topic in the field of partial differential equations accessible to a large audience. The book contains a description of how to construct Green's functions and matrices for elliptic partial differential equations. A number of applications are also presented showing the computational capability of the Green's functions method, and indicate possible ways to put into practice the results of the present study.

Green S Functions In Applied Mechanics

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Author : Yu. A. Melnikov
language : en
Publisher: Computational Mechanics
Release Date : 1995-01-01

Green S Functions

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Author : Yuri A. Melnikov
language : en
Publisher: Springer
Release Date : 2017-05-08

Green S Functions written by Yuri A. Melnikov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-08 with Mathematics categories.

This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch. Green's functions is an instrument easily accessible to practitioners who are engaged in design and exploitation of machines and structures in modern engineering practice. To date, there are no books available on the market that are devoted to the Green's function formalism for equations covered in this volume. The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach. For the first time, Green's functions are discussed for a specific class of problems dealing with potential fields induced in thin-wall structures and therefore, the reader will have first-hand access to a novel issue. This Work is accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students.

Green S Functions With Applications

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Author : Dean G. Duffy
language : en
Publisher: CRC Press
Release Date : 2015-03-10

Green S Functions With Applications written by Dean G. Duffy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-10 with Mathematics categories.

Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but has been meticulously updated to reflect the current state of the art. The book opens with necessary background information: a new chapter on the historical development of the Green’s function, coverage of the Fourier and Laplace transforms, a discussion of the classical special functions of Bessel functions and Legendre polynomials, and a review of the Dirac delta function. The text then presents Green’s functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number of spatial dimensions and the geometry of the domain. Detailing step-by-step methods for finding and computing Green’s functions, each chapter contains a special section devoted to topics where Green’s functions particularly are useful. For example, in the case of the wave equation, Green’s functions are beneficial in describing diffraction and waves. To aid readers in developing practical skills for finding Green’s functions, worked examples, problem sets, and illustrations from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas are featured throughout the text. A new chapter on numerical methods closes the book. Included solutions and hundreds of references to the literature on the construction and use of Green's functions make Green’s Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering.

Advances In Applied Mechanics

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Author : Erik van der Giessen
language : en
Publisher: Academic Press
Release Date : 2001-09-28

Advances In Applied Mechanics written by Erik van der Giessen and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-28 with Science categories.

Mechanics is defined as a branch of physics that focuses on motion and the reaction of physical systems to internal and external forces. This highly acclaimed series provides survey articles on the present state and future direction of research in important branches of applied solid and fluid mechanics.

Green S Functions With Applications

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Author : Dean G. Duffy
language : en
Publisher: CRC Press
Release Date : 2001-05-31

Since its introduction in 1828, using Green's functions has become a fundamental mathematical technique for solving boundary value problems. Most treatments, however, focus on its theory and classical applications in physics rather than the practical means of finding Green's functions for applications in engineering and the sciences. Green's

Integral Transform Techniques For Green S Function

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Author : Kazumi Watanabe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-13

Integral Transform Techniques For Green S Function written by Kazumi Watanabe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-13 with Technology & Engineering categories.

In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.

Influence Functions And Matrices

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Author : Yuri Melnikov
language : en
Publisher: Routledge
Release Date : 2017-10-05

Influence Functions And Matrices written by Yuri Melnikov and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-05 with Science categories.

""Analyzes a wide range of problem classes originating in applied mechanics, stressing the use of influence (Green's) functions in their analysis. Provides an extensive list of influence functions and matrices-several in print for the first time. Addresses areas such as fluid flow, acoustics, electromagnetism, heat transfer, and elasticity.

Green S Functions

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Author : Yuri A. Melnikov
language : en
Publisher: Walter de Gruyter
Release Date : 2012-04-02

Green S Functions written by Yuri A. Melnikov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-02 with Mathematics categories.

Green's functions represent one of the classical and widely used issues in the area of differential equations. This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. The book is attractive for practical needs: It contains many easily computable or computer friendly representations of Green's functions, includes all the standard Green's functions and many novel ones, and provides innovative and new approaches that might lead to Green's functions. The book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations.

Applied Mechanics Reviews

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Author :
language : en
Publisher:
Release Date : 1974

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mechanics, Applied categories.

Green S Functions In Applied Mechanics

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