Integral transform techniques for Green's function [electronic resource] / Kazumi Watanabe.
Watanabe, K. (Kazumi), author.
2013
QA432
Available Online

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Title Integral transform techniques for Green's function [electronic resource] / Kazumi Watanabe.
Author Watanabe, K. (Kazumi), author.
ISBN 9783319008790 electronic book
331900879X electronic book
9783319008783
DOI https://doi.org/10.1007/978-3-319-00879-0
Published Cham : Springer, [2013?]
Copyright ©2014
Language English
Description 1 online resource (xii, 190 pages) : illustrations.
Item Number 10.1007/978-3-319-00879-0 doi
Call Number QA432
Dewey Decimal Classification 515/.723
Summary In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on online resource; title from PDF title page (SpringerLink, viewed August 20, 2013).
Series Lecture notes in applied and computational mechanics ; v.71, 1613-7736
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Definition of integral transforms and distributions
Green's functions for Laplace and wave equations
Green's dyadic for an isotropic elastic solid
Acoustic wave in an uniform flow
Green's functions for beam and plate
Cagniard de Hoop technique
Miscellaneous Green's functions
Exercises.

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