Integral Transform Techniques for Green's Function

Nonfiction, Science & Nature, Mathematics, Applied, Technology, Engineering, Mechanical
Cover of the book Integral Transform Techniques for Green's Function by Kazumi Watanabe, Springer International Publishing
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Author: Kazumi Watanabe ISBN: 9783319008790
Publisher: Springer International Publishing Publication: August 13, 2013
Imprint: Springer Language: English
Author: Kazumi Watanabe
ISBN: 9783319008790
Publisher: Springer International Publishing
Publication: August 13, 2013
Imprint: Springer
Language: English

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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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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