Integral transform techniques for Green's function

Author(s)

    • Watanabe, Kazumi

Bibliographic Information

Integral transform techniques for Green's function

Kazumi Watanabe

(Lecture notes in applied and computational mechanics, 71)

Springer, c2014

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Note

Includes bibliographical references and index

Description and Table of Contents

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.

Table of Contents

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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Details

  • NCID
    BB1354610X
  • ISBN
    • 9783319008783
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham
  • Pages/Volumes
    xii, 190p.
  • Size
    25 cm
  • Parent Bibliography ID
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