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Author : William Whitfield Elliott
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.E/5 ( download)
Download or read book Generalized Green's Functions for Compatible Differential Systems ... written by William Whitfield Elliott and published by . This book was released on 1928 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. C. Brown
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (227 download)
Download or read book Generalized Green's Functions and Generalized Inverses for Linear Differential Systems with Stieltjes Boundary Conditions written by R. C. Brown and published by . This book was released on 1973 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Green's functions are characterized for the compatible linear differential system l(y) = y' + Py the integral from 0 to 1 of d nu y = 0, where nu is an m x n matrix valued measured, and the system is considered as an operator with domain and range in (L sup p, sub n)(0,1), (1
Author : Alberto Cabada
Publisher : Springer Science & Business Media
ISBN 13 : 1461495067
Total Pages : 180 pages
Book Rating : 4.4/5 (614 download)
Download or read book Green’s Functions in the Theory of Ordinary Differential Equations written by Alberto Cabada and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Michael D. Greenberg
Publisher : Courier Dover Publications
ISBN 13 : 0486797961
Total Pages : 164 pages
Book Rating : 4.4/5 (867 download)
Download or read book Applications of Green's Functions in Science and Engineering written by Michael D. Greenberg and published by Courier Dover Publications. This book was released on 2015-08-19 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yuri A. Melnikov
Publisher : Walter de Gruyter
ISBN 13 : 3110253399
Total Pages : 448 pages
Book Rating : 4.1/5 (12 download)
Download or read book Green's Functions written by Yuri A. Melnikov and published by Walter de Gruyter. This book was released on 2012-04-02 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 1482251035
Total Pages : 685 pages
Book Rating : 4.4/5 (822 download)
Download or read book Green's Functions with Applications written by Dean G. Duffy and published by CRC Press. This book was released on 2015-03-10 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Sana Munir
Publisher : GRIN Verlag
ISBN 13 : 3656950946
Total Pages : 18 pages
Book Rating : 4.6/5 (569 download)
Download or read book The "Green’s Function" Associated with One- and Two-Dimensional Problems written by Sana Munir and published by GRIN Verlag. This book was released on 2015-04-27 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Elma Jeanette Black
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (215 download)
Download or read book A Note on Green's Functions for Compatible Differential Systems of Equations of First Order written by Elma Jeanette Black and published by . This book was released on 1936 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oswald Wyler
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book Generalized Functions of Green for Systems of Ordinary Differential Equations written by Oswald Wyler and published by . This book was released on 1959 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 1420034790
Total Pages : 461 pages
Book Rating : 4.4/5 (2 download)
Download or read book Green's Functions with Applications written by Dean G. Duffy and published by CRC Press. This book was released on 2001-05-31 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Michael D. Greenberg
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (91 download)
Download or read book Application of Green's Functions in Science and Engineering written by Michael D. Greenberg and published by Prentice Hall. This book was released on 1971 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Whitfield Elliot
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (266 download)
Download or read book General Green's Functions for Compatiable Differential Systems written by William Whitfield Elliot and published by . This book was released on 1928 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sana Munir
Publisher :
ISBN 13 : 9783656950950
Total Pages : 20 pages
Book Rating : 4.9/5 (59 download)
Download or read book The "Green's Function" Associated with One- and Two-Dimensional Problems written by Sana Munir and published by . This book was released on 2015-04-27 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yuri A. Melnikov
Publisher : Springer
ISBN 13 : 3319572431
Total Pages : 211 pages
Book Rating : 4.3/5 (195 download)
Download or read book Green's Functions written by Yuri A. Melnikov and published by Springer. This book was released on 2017-05-08 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Prem K. Kythe
Publisher : CRC Press
ISBN 13 : 1439840091
Total Pages : 382 pages
Book Rating : 4.4/5 (398 download)
Download or read book Green's Functions and Linear Differential Equations written by Prem K. Kythe and published by CRC Press. This book was released on 2011-01-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Green's Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs). The text provides a sufficient theoretical basis to understand Green's function method, which is used to solve initial and boundary
Author : Yu. A. Melnikov
Publisher : Computational Mechanics
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.F/5 ( download)
Download or read book Green's Functions in Applied Mechanics written by Yu. A. Melnikov and published by Computational Mechanics. This book was released on 1995 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Gabriel Barton
Publisher : Oxford University Press
ISBN 13 : 9780198519980
Total Pages : 484 pages
Book Rating : 4.5/5 (199 download)
Download or read book Elements of Green's Functions and Propagation written by Gabriel Barton and published by Oxford University Press. This book was released on 1989 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
