Elements Of Green S Functions And Propagation
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Elements Of Green S Functions And Propagation
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Author : Gabriel Barton
language : en
Publisher: Oxford University Press
Release Date : 1989
Elements Of Green S Functions And Propagation written by Gabriel Barton and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
This text takes the student with a background in undergraduate physics and mathematics towards the skills and insights needed for graduate work in theoretical physics. The author uses Green's functions to explore the physics of potentials, diffusion, and waves. These are important phenomena in their own right, but this study of the partial differential equations describing them also prepares the student for more advanced applications in many-body physics and field theory. Calculations are carried through in enough detail for self-study, and case histories illustrate the interplay between physical insight and mathematical formalism. The aim is to develop the habit of dialogue with the equations and the craftsmanship this fosters in tackling the problem. The book is based on the author's extensive teaching experience.
Green S Functions And Finite Elements
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Author : Friedel Hartmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-01
Green S Functions And Finite Elements written by Friedel Hartmann 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 2012-08-01 with Science categories.
This book elucidates how Finite Element methods look like from the perspective of Green’s functions, and shows new insights into the mathematical theory of Finite Elements. Practically, this new view on Finite Elements enables the reader to better assess solutions of standard programs and to find better model of a given problem. The book systematically introduces the basic concepts how Finite Elements fulfill the strategy of Green’s functions and how approximating of Green’s functions. It discusses in detail the discretization error and shows that are coherent with the strategy of “goal oriented refinement”. The book also gives much attention to the dependencies of FE solutions from the parameter set of the model.
Greens Function And Boundary Elements Mult
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Author : Qing-Hau Qin
language : en
Publisher:
Release Date : 2007-07
Greens Function And Boundary Elements Mult written by Qing-Hau Qin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07 with categories.
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.
Applications Of Green S Functions In Science And Engineering
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Author : Michael D. Greenberg
language : en
Publisher: Courier Dover Publications
Release Date : 2015-08-19
Applications Of Green S Functions In Science And Engineering written by Michael D. Greenberg and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-19 with Mathematics categories.
In addition to coverage of Green's function, this concise introductory treatment examines boundary value problems, generalized functions, eigenfunction expansions, partial differential equations, and acoustics. Suitable for undergraduate and graduate students. 1971 edition.
Green S Functions Introductory Theory With Applications
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Author : Gary Francis Roach
language : en
Publisher:
Release Date : 1970
Green S Functions Introductory Theory With Applications written by Gary Francis Roach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
The Green Element Method
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Author : Akpofure E. Taigbenu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Green Element Method written by Akpofure E. Taigbenu 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 2013-03-09 with Science categories.
Most texts on computational methods are borne out of research activities at postgraduate study programs, and this is no exception. After being introduced to the boundary element method (BEM) (then referred to as the boundary integral equation method (BIEM)) in 1981 by Prof. Jim Liggett of Cornell University, a number of graduate students and myself under his supervision took active interest in the development of the theory and its application to a wide range of engineering problems. We certainly achieved some amount of success. A personal desire to have a deeper understanding and appreciation of computational methods prompted one to take related courses in fmite deference method, and to undertake a self-instructed study of variational and fmite element methods. These exposures were not only quite instructive but fruitful, and may have provided the motivation for the current research on the Green element method (GEM) - a name coined by Prof. Liggett in 1987 during my visit as Professor to the School of Civil & Environmental Engineering, Cornell University. The main objectives of this text are to serve as an instructional material to senior undergraduate and first year graduate students undertaking a course in computational methods, and as a resource material for research scientists, applied mathematicians, numerical analysts, and engineers who may wish to take these ideas to other frontiers and applications.
Green S Functions And Ordered Exponentials
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Author : H. M. Fried
language : en
Publisher: Cambridge University Press
Release Date : 2002-10-10
Green S Functions And Ordered Exponentials written by H. M. Fried and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-10 with Science categories.
This book presents a functional approach to the construction, use and approximation of Green's functions and their associated ordered exponentials. After a brief historical introduction, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with approximations for the treatment of color fluctuations in high-energy QCD scattering, and a model for summing classes of eikonal graphs in high-energy scattering problems. The book also presents a variant of the Fradkin representation which suggests a new non-perturbative approximation scheme, and provides a qualitative measure of the error involved in each such approximation. Covering the basics as well as more advanced applications, this book is suitable for graduate students and researchers in a wide range of fields, including quantum field theory, fluid dynamics and applied mathematics.
Green S Functions
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Author : Gary F. Roach
language : en
Publisher:
Release Date : 1992
Green S Functions written by Gary F. Roach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
The Green S Function Associated With One And Two Dimensional Problems
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Author : Sana Munir
language : en
Publisher: GRIN Verlag
Release Date : 2015-04-27
The Green S Function Associated With One And Two Dimensional Problems written by Sana Munir and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-27 with Mathematics categories.
Essay from the year 2015 in the subject Mathematics - General, Basics, , language: English, abstract: In mathematics a green’s function is type of function used to solve inhomogeneous differential equations subject to specific initial conditions or boundary conditions. Green’s functions provide an important tool when we study the boundary value problem. They also have intrinsic value for a mathematician. Also green’s functions in general are distribution, not necessarily proper function. Green functions are also useful for solving wave equation, diffusion equation and in quantum mechanics, where the green’s function of the Hamiltonian is a key concept, with important links to the concept of density of states. In this project construction of green’s function in one and two dimension has shown. There are more then one way of constructing greens’ function (if it exist) but the result is always same. Due to this we can say that green’s function for a given linear system is unique.