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 Green s Functions and Finite Elements written by Friedel Hartmann and published by Springer Science & Business Media. This book was released on 2012-08-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 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 162 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 2013-06-03 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presentation of the basic theoretical formulation of Green's functions, followed by specific applications: transport coefficients of a metal, Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism. 1984 edition.
Download or read book Green s Functions and Boundary Value Problems written by Ivar Stakgold and published by John Wiley & Sons. This book was released on 1979 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 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 Functions for Ordered and Disordered Systems written by Antonios Gonis and published by North Holland. This book was released on 1992 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an exposition of Green functions and multiple scattering theory (MST) as presently used in the study of the electronic structure of matter. Ordered, as well as substitutionally disordered systems are discussed. This volume deals with both a tight binding approach to and a first-principles formulation of Green functions and multiple scattering theory. It includes extended discussions on such topics as the coherent potential approximation (CPA), and the use of full cell potentials in applications of MST to the calculation of electronic structure of solids. Special emphasis is given to the derivation of formulae within the angular momentum representation, as well as to problems. The book contains a collection of problems of particular interest to students.
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 in Quantum Physics written by Eleftherios N. Economou and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this edition the second and main part of the book has been considerably expanded as to cover important applications of the formalism. In Chap.5 a section was added outlining the extensive role of the tight binding (or equivalently the linear combination of atomic-like orbitals) approach to many branches of solid-state physics. Some additional informa tion (including a table of numerical values) regarding square and cubic lattice Green's functions were incorporated. In Chap.6 the difficult subjects of superconductivity and the Kondo effect are examined by employing an appealingly simple connection to the question of the existence of a bound state in a very shallow potential well. The existence of such a bound state depends entirely on the form of the un perturbed density of states near the end of the spectrum: if the density of states blows up there is always at least one bound state. If the density of states approaches zero continuously, a critical depth (and/or width) of the well must be reached in order to have a bound state. The borderline case of a finite discontinuity (which is very important to superconductivity and the Kondo effect) always produces a bound state with an exponentially small binding energy.
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 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 For Solid State Physicists written by Doniach S and published by World Scientific. This book was released on 1998-06-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how the analytic properties in the complex energy plane of the Green's functions of many particle systems account for the physical effects (level shifts, damping, instabilities) characteristic of interacting systems. It concentrates on general physical principles and, while it does not discuss experiments in detail, includes introductions to topics of current research interest, such as singularities (X-ray, Kondo) associated with transient perturbations in an electron gas, the Mott metal-insulator transition in correlated electron systems, and the phenomenon of high Tc superconductivity.This invaluable book grew out of a course of graduate lectures given by S Doniach at the University of London. It will appeal to beginning graduate students in theoretical solid state physics as an introduction to more comprehensive or more specialized texts and also to experimentalists who would like a quick view of the subject. A basic knowledge of solid state physics and quantum mechanics at graduate level is assumed./a
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.
Download or read book Green s Functions in Quantum Physics written by Eleftherios N. Economou and published by Springer Science & Business Media. This book was released on 2006-08-02 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of interest to advanced students, this book focuses on Green's functions for obtaining simple and general solutions to basic problems in quantum physics. It demonstrates the unifying formalism of Green's functions across many applications, including transport properties, carbon nanotubes, and photonics and photonic crystals.
