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Integral transform techniques for Green's function

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 ac...

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Detalles Bibliográficos
Autor principal: Watanabe, Kazumi
Lenguaje:eng
Publicado: Springer 2014
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-00879-0
http://cds.cern.ch/record/2023582
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author Watanabe, Kazumi
author_facet Watanabe, Kazumi
author_sort Watanabe, Kazumi
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
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spelling cern-20235822021-04-21T20:12:37Zdoi:10.1007/978-3-319-00879-0http://cds.cern.ch/record/2023582engWatanabe, KazumiIntegral transform techniques for Green's functionEngineeringIn 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.Springeroai:cds.cern.ch:20235822014
spellingShingle Engineering
Watanabe, Kazumi
Integral transform techniques for Green's function
title Integral transform techniques for Green's function
title_full Integral transform techniques for Green's function
title_fullStr Integral transform techniques for Green's function
title_full_unstemmed Integral transform techniques for Green's function
title_short Integral transform techniques for Green's function
title_sort integral transform techniques for green's function
topic Engineering
url https://dx.doi.org/10.1007/978-3-319-00879-0
http://cds.cern.ch/record/2023582
work_keys_str_mv AT watanabekazumi integraltransformtechniquesforgreensfunction