Integral transform techniques for Green's function/ Kazumi Watanabe.
Series: Publication details: Cham: Springer International Publishing, 2014.Description: xii, 190 p. illustrationsISBN:- 9783319008783 (alk. paper)
- 515.723 Q4
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Mahatma Gandhi University Library General Stacks | 515.723 Q4 (Browse shelf(Opens below)) | Available | 52774 |
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| 515.63 R1 User-defined tensor data analysis/ | 515.7 R0 An introduction to functional analysis/ | 515.723 Q1 A student's guide to Fourier transforms with applications in physics and engineering/ | 515.723 Q4 Integral transform techniques for Green's function/ | 515.724 6 R0 Toeplitz matrices and operators/ | 515.8 N9 Fundamentals of real analysis/ | 515.9 Q9 Complex analysis/ |
Includes bibliographical references and index.
1. Definition of integral transforms and distributions -- 2. Green's functions for Laplace and wave equations -- 3. Green's dyadic for an isotropic elastic solid -- 4. Acoustic wave in an uniform flow -- 5. Green's functions for beam and plate -- 6. Cagniard de Hoop technique -- 7. Miscellaneous Green's functions.
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 --
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