One Sided And Two Sided Greens Functions

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Green's Functions with Applications

Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 1482251035
Total Pages : 673 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Green's Functions with Applications by : Dean G. Duffy

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 673 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.

Green's Functions and Linear Differential Equations

Author : Prem K. Kythe
Publisher : CRC Press
ISBN 13 : 1439840091
Total Pages : 376 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Green's Functions and Linear Differential Equations by : Prem K. Kythe

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 376 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

Green's Functions and Finite Elements

Author : Friedel Hartmann
Publisher : Springer Science & Business Media
ISBN 13 : 3642295231
Total Pages : 335 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Green's Functions and Finite Elements by : Friedel Hartmann

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.

Green's Functions and Boundary Value Problems

Author : Ivar Stakgold
Publisher : John Wiley & Sons
ISBN 13 : 0470609702
Total Pages : 883 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Green's Functions and Boundary Value Problems by : Ivar Stakgold

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 2011-02-08 with total page 883 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition "This book is an excellent introduction to the wide field of boundary value problems."—Journal of Engineering Mathematics "No doubt this textbook will be useful for both students and research workers."—Mathematical Reviews A new edition of the highly-acclaimed guide to boundary value problems, now featuring modern computational methods and approximation theory Green's Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use of differential and integral equations to tackle important problems in applied mathematics, the physical sciences, and engineering. This new edition presents mathematical concepts and quantitative tools that are essential for effective use of modern computational methods that play a key role in the practical solution of boundary value problems. With a careful blend of theory and applications, the authors successfully bridge the gap between real analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and numerical analysis to provide a comprehensive foundation for understanding and analyzing core mathematical and computational modeling problems. Thoroughly updated and revised to reflect recent developments, the book includes an extensive new chapter on the modern tools of computational mathematics for boundary value problems. The Third Edition features numerous new topics, including: Nonlinear analysis tools for Banach spaces Finite element and related discretizations Best and near-best approximation in Banach spaces Iterative methods for discretized equations Overview of Sobolev and Besov space linear Methods for nonlinear equations Applications to nonlinear elliptic equations In addition, various topics have been substantially expanded, and new material on weak derivatives and Sobolev spaces, the Hahn-Banach theorem, reflexive Banach spaces, the Banach Schauder and Banach-Steinhaus theorems, and the Lax-Milgram theorem has been incorporated into the book. New and revised exercises found throughout allow readers to develop their own problem-solving skills, and the updated bibliographies in each chapter provide an extensive resource for new and emerging research and applications. With its careful balance of mathematics and meaningful applications, Green's Functions and Boundary Value Problems, Third Edition is an excellent book for courses on applied analysis and boundary value problems in partial differential equations at the graduate level. It is also a valuable reference for mathematicians, physicists, engineers, and scientists who use applied mathematics in their everyday work.

Elements of Green's Functions and Propagation

Author : Gabriel Barton
Publisher : Oxford University Press
ISBN 13 : 9780198519980
Total Pages : 484 pages
Book Rating : 4.5/5 (199 download)

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Book Synopsis Elements of Green's Functions and Propagation by : Gabriel Barton

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.

Theory Of Difference Equations Numerical Methods And Applications

Author : V. Lakshmikantham
Publisher : CRC Press
ISBN 13 : 9780203910290
Total Pages : 328 pages
Book Rating : 4.9/5 (12 download)

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Book Synopsis Theory Of Difference Equations Numerical Methods And Applications by : V. Lakshmikantham

Download or read book Theory Of Difference Equations Numerical Methods And Applications written by V. Lakshmikantham and published by CRC Press. This book was released on 2002-06-12 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus. Explores classical problems such as orthological polynomials, the Euclidean algorithm, roots of polynomials, and well-conditioning."

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1980 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Vibro-Acoustics, Volume 1

Author : Anders Nilsson
Publisher : Springer
ISBN 13 : 3662478072
Total Pages : 385 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Vibro-Acoustics, Volume 1 by : Anders Nilsson

Download or read book Vibro-Acoustics, Volume 1 written by Anders Nilsson and published by Springer. This book was released on 2015-08-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume book gives a thorough and comprehensive presentation of vibration and acoustic theories. Different from traditional textbooks which typically deal with some aspects of either acoustic or vibration problems, it is unique of this book to combine those two correlated subjects together. Moreover, it provides fundamental analysis and mathematical descriptions for several crucial phenomena of Vibro-Acoustics which are quite useful in noise reduction, including how structures are excited, energy flows from an excitation point to a sound radiating surface, and finally how a structure radiates noise to a surrounding fluid. Many measurement results included in the text make the reading interesting and informative. Problems/questions are listed at the end of each chapter and the solutions are provided. This will help the readers to understand the topics of Vibro-Acoustics more deeply. The book should be of interest to anyone interested in sound and vibration, vehicle acoustics, ship acoustics and interior aircraft noise. This is the first volume, and covers the following topics: Mechanical systems with one degree of freedom, Frequency domain, Waves in solids, Interaction between longitudinal and transverse waves, General wave equation, Wave attenuation due to losses and transmission across junctions, Longitudinal vibrations of finite beams, Flexural vibrations of finite beams, Flexural vibrations of finite plates.

Seismic Interferometry

Author : Deyan Draganov
Publisher : SEG Books
ISBN 13 : 1560801506
Total Pages : 641 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Seismic Interferometry by : Deyan Draganov

Download or read book Seismic Interferometry written by Deyan Draganov and published by SEG Books. This book was released on 2008 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: Including more than 70 papers, this invaluable source for researchers and students contains an editors' introduction with extensive references and chapters on seismic interferometry without equations, highlights of the history of seismic interferometry from 1968 until 2003, and offers a detailed overview of the rapid developments since 2004.

Mathematical Techniques for Engineers and Scientists

Author : Larry C. Andrews
Publisher : SPIE Press
ISBN 13 : 9780819445063
Total Pages : 822 pages
Book Rating : 4.4/5 (45 download)

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Book Synopsis Mathematical Techniques for Engineers and Scientists by : Larry C. Andrews

Download or read book Mathematical Techniques for Engineers and Scientists written by Larry C. Andrews and published by SPIE Press. This book was released on 2003 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This self-study text for practicing engineers and scientists explains the mathematical tools that are required for advanced technological applications, but are often not covered in undergraduate school. The authors (University of Central Florida) describe special functions, matrix methods, vector operations, the transformation laws of tensors, the analytic functions of a complex variable, integral transforms, partial differential equations, probability theory, and random processes. The book could also serve as a supplemental graduate text."--Memento.

Mathematical Models of Financial Derivatives

Author : Yue-Kuen Kwok
Publisher : Springer Science & Business Media
ISBN 13 : 3540686886
Total Pages : 541 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Mathematical Models of Financial Derivatives by : Yue-Kuen Kwok

Download or read book Mathematical Models of Financial Derivatives written by Yue-Kuen Kwok and published by Springer Science & Business Media. This book was released on 2008-07-10 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition, now featuring new material, focuses on the valuation principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analysed, emphasising aspects of pricing, hedging and practical usage. This second edition features additional emphasis on the discussion of Ito calculus and Girsanovs Theorem, and the risk-neutral measure and equivalent martingale pricing approach. A new chapter on credit risk models and pricing of credit derivatives has been added. Up-to-date research results are provided by many useful exercises.

Issues in Biophysics and Geophysics Research and Application: 2012 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1481646176
Total Pages : 346 pages
Book Rating : 4.4/5 (816 download)

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Book Synopsis Issues in Biophysics and Geophysics Research and Application: 2012 Edition by :

Download or read book Issues in Biophysics and Geophysics Research and Application: 2012 Edition written by and published by ScholarlyEditions. This book was released on 2013-01-10 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Biophysics and Geophysics Research and Application: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Biophysics. The editors have built Issues in Biophysics and Geophysics Research and Application: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Biophysics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Biophysics and Geophysics Research and Application: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Introduction to Acoustical Space-time Information Processing

Author : Alan A. Winder
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Introduction to Acoustical Space-time Information Processing by : Alan A. Winder

Download or read book Introduction to Acoustical Space-time Information Processing written by Alan A. Winder and published by . This book was released on 1963 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Progress In Nonequilibrium Green's Functions, Sep 99, Germany

Author : Michael Bonitz
Publisher : World Scientific
ISBN 13 : 9814493619
Total Pages : 586 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Progress In Nonequilibrium Green's Functions, Sep 99, Germany by : Michael Bonitz

Download or read book Progress In Nonequilibrium Green's Functions, Sep 99, Germany written by Michael Bonitz and published by World Scientific. This book was released on 2000-05-11 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equilibrium and nonequilibrium properties of correlated many-body systems are of growing interest in many fields of physics, including condensed matter, dense plasmas, nuclear matter and particles. The most powerful and general method which applies equally to all these areas is given by quantum field theory.Written by the leading experts and understandable to non-specialists, this book provides an overview on the basic ideas and concepts of the method of nonequilibrium Green's functions. It is complemented by modern applications of the method to a variety of topics, such as optics and transport in dense plasmas and semiconductors; correlations, bound states and coherence; strong field effects and short-pulse lasers; nuclear matter and QCD.Authors include: Gordon Bayan, Pawel Danielewicz, Don DuBois, Hartmut Haug, Klaus Henneberger, Antti-Pekka Jauho, Jörn Kuoll, Dietrich Kremp, Pavel Lipavsky and Paul C Martin.

Existence Theorems for Ordinary Differential Equations

Author : Francis J. Murray
Publisher : Courier Corporation
ISBN 13 : 0486154955
Total Pages : 178 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Existence Theorems for Ordinary Differential Equations by : Francis J. Murray

Download or read book Existence Theorems for Ordinary Differential Equations written by Francis J. Murray and published by Courier Corporation. This book was released on 2013-11-07 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.

Foundations of Applied Mathematics

Author : Michael D. Greenberg
Publisher : Courier Corporation
ISBN 13 : 0486782182
Total Pages : 660 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Foundations of Applied Mathematics by : Michael D. Greenberg

Download or read book Foundations of Applied Mathematics written by Michael D. Greenberg and published by Courier Corporation. This book was released on 2013-11-26 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text/reference suitable for undergraduate and graduate engineering students. Topics include real variable theory, complex variables, linear analysis, partial and ordinary differential equations, and other subjects. Includes answers to selected exercises. 1978 edition.

Seismic Inversion

Author : Gerard T. Schuster
Publisher : SEG Books
ISBN 13 : 156080341X
Total Pages : 377 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Seismic Inversion by : Gerard T. Schuster

Download or read book Seismic Inversion written by Gerard T. Schuster and published by SEG Books. This book was released on 2017-07-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the theory and practice of inverting seismic data for the subsurface rock properties of the earth. The primary application is for inverting reflection and/or transmission data from engineering or exploration surveys, but the methods described also can be used for earthquake studies. Seismic Inversion will be of benefit to scientists and advanced students in engineering, earth sciences, and physics. It is desirable that the reader has some familiarity with certain aspects of numerical computation, such as finite-difference solutions to partial differential equations, numerical linear algebra, and the basic physics of wave propagation. For those not familiar with the terminology and methods of seismic exploration, a brief introduction is provided. To truly understand the nuances of seismic inversion, we have to actively practice what we preach (or teach). Therefore, computational labs are provided for most of the chapters, and some field data labs are given as well.