Title
Integral transform techniques for Green's function [electronic resource] / Kazumi Watanabe.
ISBN
9783319008790 electronic book
331900879X electronic book
9783319008783
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
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.