Integral Transform Techniques for Green's Function
1st Edition
Published on 13. August 2013
XII, 190 pages
978-3-319-00879-0 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XII, 190 p. 34 illus.
File size
6,38 MB
ISBN-13
978-3-319-00879-0 (9783319008790)
DOI
10.1007/978-3-319-00879-0
Schweitzer Classification
Other editions
New editions
Kazumi Watanabe
Integral Transform Techniques for Green's Function
E-Book
04/2015
2nd Edition
Springer
€96.29
Available for download
Additional editions
Kazumi Watanabe
Integral Transform Techniques for Green's Function
Book
08/2013
Springer
€106.99
Article exhausted; check for reprint
Person
Professor Watanabe is retired professor (2012) of mechanical engineering; he is active member of the advisory board of Acta Mechanica and has already co-edited a book at Springer
Content
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.
