Integral Transform Techniques for Green's Function

Kazumi Watanabe

ISBN 10: 3319345877 / ISBN 13: 9783319345871

Edité par Springer International Publishing, 2016

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green's functions for beams, plates and acoustic media are also shown, along with their mathematical derivations. The Cagniard-de Hoop method for double inversion is described in detail and 2D and 3D elastodynamic problems are treated in full.This new edition explains in detail how to introduce the branch cut for the multi-valued square root function. Further, an exact closed form Green's function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.

N° de réf. du vendeur 9783319345871

Détails bibliographiques

• Titre: Integral Transform Techniques for Green's Function
• Éditeur: Springer International Publishing
• Date de parution: 2016
• Langue: anglais
• ISBN à 10 chiffres: 3319345877
• ISBN à 13 chiffres: 9783319345871
• Reliure: Taschenbuch
• État de l'article: Neu

A propos de ce titre

Synopsis

This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green’s functions for beams, plates and acoustic media are also shown, along with their mathematical derivations. The Cagniard-de Hoop method for double inversion is described in detail and 2D and 3D elastodynamic problems are treated in full.

This new edition explains in detail how to introduce the branch cut for the multi-valued square root function. Further, an exact closed form Green’s function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.

À propos de l?auteur

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