The Green S Function Associated With One And Two Dimensional Problems
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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.
The Green S Function Associated With One And Two Dimensional Problems
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Author : Sana Munir
language : en
Publisher:
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 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-27 with 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.
Application Of Green S Functions In Science And Engineering
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Author : Michael D. Greenberg
language : en
Publisher: Prentice Hall
Release Date : 1971
Application Of Green S Functions In Science And Engineering written by Michael D. Greenberg and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
Green S Functions With Applications
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Author : Dean G. Duffy
language : en
Publisher: CRC Press
Release Date : 2001-05-31
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 2001-05-31 with Mathematics categories.
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
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 And Infinite Products
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Author : Yuri A. Melnikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-30
Green S Functions And Infinite Products written by Yuri A. Melnikov 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 2011-08-30 with Mathematics categories.
Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation and the infinite product representation of elementary functions. Every chapter begins with a review guide, outlining the basic concepts covered. A set of carefully designed challenging exercises is available at the end of each chapter to provide the reader with the opportunity to explore the concepts in more detail. Hints, comments, and answers to most of those exercises can be found at the end of the text. In addition, several illustrative examples are offered at the end of most sections. This text is intended for an elective graduate course or seminar within the scope of either pure or applied mathematics.
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.
On The Green S Function For Two Dimensional Magnetohydrodynamic Waves I Classic Reprint
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Author : H. Weitzner
language : en
Publisher: Forgotten Books
Release Date : 2018-02-04
On The Green S Function For Two Dimensional Magnetohydrodynamic Waves I Classic Reprint written by H. Weitzner and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-04 with Mathematics categories.
Excerpt from On the Green's Function for Two-Dimensional Magnetohydrodynamic Waves I Green's function as a distribution inverting its Fourier transform obtained from the partial differential equations. The interpretation as a distribution is essential as we shall have to evaluate many singular integrals and the Green's function itself is not integrable considered as an ordinary function. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Green S Functions And Boundary Value Problems
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Author : Ivar Stakgold
language : en
Publisher: John Wiley & Sons
Release Date : 1979
Green S Functions And Boundary Value Problems written by Ivar Stakgold and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
This revised and updated Second Edition of Green's Functions and Boundary Value Problems maintains a careful balance between sound mathematics and meaningful applications. Central to the text is a down-to-earth approach that shows the reader how to use differential and integral equations when tackling significant problems in the physical sciences, engineering, and applied mathematics. Ivar Stakgold incorporates developments that have altered the field of applied mathematics in recent decades-particularly in areas of modeling, Fourier analysis, fixed-point theorems, inverse problems, asymptotics, and nonlinear methods. This modernized text, however, retains the many features that made its predecessor one of the most successful graduate-level texts of its kind, including: A unique blend of topics A balanced discussion of theory and applications 44 illustrations and numerous practical examples that supplement the text Chapter introductions and clear explanations of basic concepts Plentiful exercises, many of which are new to this edition Green's Functions and Boundary Value Problems is an ideal text for a modern course in applied mathematics designed for students in the physical sciences, engineering, and mathematics. It is also an excellent reference for practicing professionals in these areas.
Green S Functions In The Theory Of Ordinary Differential Equations
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Author : Alberto Cabada
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-29
Green S Functions In The Theory Of Ordinary Differential Equations written by Alberto Cabada 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 2013-11-29 with Mathematics categories.
This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions.