Integral transform techniques for Green's function
General Material Designation
[Book]
First Statement of Responsibility
/ Kazumi Watanabe
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, 2013?.
SERIES
Series Title
(Lecture notes in applied and computational mechanics
Volume Designation
; v.71)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index..
CONTENTS NOTE
Text of Note
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.
Text of Note
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.
SERIES
Title
Lecture notes in applied and computational mechanics
Volume Number
v.71
TOPICAL NAME USED AS SUBJECT
Integral transforms
Green's functions
Appl.Mathematics/Computational Methods of Engineering