Download or read book Green s Functions of the Rytov Equation written by Koichi Mano and published by . This book was released on 1968 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Green's functions are calculated for the Rytov equation that governs the propagation of plane monochromatic waves in a random medium. The diverging as well as the converging wave solutions of the Green's functions are obtained for the two situations in which the Laplacian operator in the equation is either fully three-dimensional or only two-dimensional in the variables that describe the plane normal to the direction of wave propagation. The solutions found by Chernov and by Tatarski are compared with solutions that can be given in terms of the Green's functions thus obtained. (Author).
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
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.
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.
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.
Download or read book Green s Functions of the Rytov Equation written by Koichi Mano and published by . This book was released on 1968 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Green's functions are calculated for the Rytov equation that governs the propagation of plane monochromatic waves in a random medium. The diverging as well as the converging wave solutions of the Green's functions are obtained for the two situations in which the Laplacian operator in the equation is either fully three-dimensional or only two-dimensional in the variables that describe the plane normal to the direction of wave propagation. The solutions found by Chernov and by Tatarski are compared with solutions that can be given in terms of the Green's functions thus obtained. (Author).
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 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Green s Functions Introductory Theory with Applications written by Gary Francis Roach and published by . This book was released on 1970 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Green s Functions and Condensed Matter written by G. Rickayzen and published by Courier Corporation. This book was released on 2013-05-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Green's functions, named for the mathematician who developed them in the 1830s, possess applications in many areas of physics. This volume presents the basic theoretical formulation, followed by specific applications that include transport coefficients of a metal, the Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism. 1984 edition"--
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.
Download or read book Green s Functions and Infinite Products written by Yuri A. Melnikov and published by Springer Science & Business Media. This book was released on 2011-08-30 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Covariant Approximation Scheme for Green s Functions of Coupled Fields written by Richard Arnowitt and published by . This book was released on 1954 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Green s Functions and Ordered Exponentials written by H. M. Fried and published by Cambridge University Press. This book was released on 2002-10-10 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Green s Functions in the Theory of Ordinary Differential Equations written by Alberto Cabada and published by . This book was released on 2013-12-31 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
