Integral Transform Techniques for Green's Function

• Κύριος συγγραφέας: Watanabe, Kazumi (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Lecture Notes in Applied and Computational Mechanics, 71
• Θέματα: Engineering.; Integral transforms.; Operational calculus.; Applied mathematics.; Engineering mathematics.; Mechanics.; Mechanics, Applied.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical and Applied Mechanics.; Integral Transforms, Operational Calculus.
• Φυσική περιγραφή: XII, 190 p. 34 illus. online resource.
• ISBN: 9783319008790
• ISSN: 1613-7736 ;

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.