Titlebook: Integral Transform Techniques for Green‘s Function; Kazumi Watanabe Book 20141st edition Springer International Publishing Switzerland 201

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,Green’s Functions for Laplace and Wave Equations,This chapter shows the solution method for Green’s functions of 1, 2 and 3D Laplace and wave equations. Lengthy and detailed explanations are given in order to instruct the basic technique of the integral transform. Especially, Fourier inversion integral for the time-harmonic Green’s function is discussed in detail.

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,Green’s Dyadic for an Isotropic Elastic Solid,The present chapter shows how to derive an exact closed form solution, the so-called Green’s dyadic, for elasticity equations.

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Cagniard-de Hoop Technique,The success of the integral transform method hangs on the evaluation of inversion integrals. It is not easy to find a suitable integration formula. If we cannot find any suitable formula, the inversion is left in its integral form and some numerical techniques must be applied for the evaluation.

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Definition of Integral Transforms and Distributions,d step functions which are frequently used as the source function. The multiple integral transforms and their notations are also explained. The last short comment lists some important formula books which are crucial for the inverse transform, i.e. the evaluation of the inversion integral.

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Acoustic Wave in a Uniform Flow,xperience many wave phenomena such as reflection, refraction, diffraction, the Doppler effects, etc. The governing equations for the acoustic wave are rigorously derived from the fluid equations and Green’s function for the acoustic wave in a flowing fluid is discussed by applying the method of integral transform.