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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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Lenguaje: | eng |
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Springer
2014
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Acceso en línea: | https://dx.doi.org/10.1007/978-3-319-00879-0 http://cds.cern.ch/record/2023582 |
_version_ | 1780947100515696640 |
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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. |
id | cern-2023582 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2014 |
publisher | Springer |
record_format | invenio |
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 |