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Record Nr. |
UNINA9910299472403321 |
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Autore |
Watanabe Kazumi |
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Titolo |
Integral transform techniques for Green's function / / Kazumi Watanabe |
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Pubbl/distr/stampa |
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Cham ; ; New York, : Springer, c2014 |
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ISBN |
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Edizione |
[1st ed. 2014.] |
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Descrizione fisica |
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1 online resource (xii, 190 pages) : illustrations (some color) |
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Collana |
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Lecture Notes in Applied and Computational Mechanics, , 1860-0816 ; ; 71 |
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Disciplina |
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Soggetti |
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Green's functions |
Potential theory (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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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