In principle, our distributions will be only allowed to take real values, but the test functions (and the Laplace transforms of the distributions) will take complex values.doi:10.1007/978-3-319-26645-9_2Francisco-Javier SayasSpringer International Publishing...
Computation of the theoretical time-domain response of a polarizable ground on the basis of a frequency-domain model of relaxation, e.g., a Cole-Cole or any other model that involves a fractional power of the complex frequency variable, runs into difficulties either because the Laplace transform...
The electric fields of these problems are associated only with the extraordinary-wave components in the Fourier-Laplace domain. Applying the Cagniard-de Hoop method to each problem, the time-domain solutions of the wave fields are obtained. The fields of the VV case can be expressed in explicit...
A method for the numerical inversion of Laplace transforms that yields time-domain solutions in the explicit form f ( t ) = P n ( t )e t /蟿 , where P n ( t ) is an n th order polynomial, is described and successfully applied to a wide variety of transfer functions having ...
employs analytic expressions of the Laplace-transformed time-domain photon-diffusion model to construct a Born normalized inverse model.The resultant linear inversions introducing a pair of real domain transform-factors are solved with an algebraic reconstruction technique to separate distributions of the ...
We Laplace-transform time-domain seismograms to the Laplace domain and calculate the residuals in the Laplace domain. Then, we back-propagate the Laplace-domain residuals in the time domain using a predefined time-domain source wavelet with the amplitude of the residuals. The back-propagated wave...
In terms of circuit design, this would apply to components like an analog multiplier, where the output in the time domain is the product of the two input time-domain waveforms. To calculate the frequency spectrum of the output, you only need to know the frequency spectra of each of...
We then discuss some methodologies for the numerical implementation of the method in the time domain and to present a variational formulation for the construction of different misfit functions. We here define a new misfit travel-time function that allows us to find consensus for the longstanding ...
Efficient full waveform inversion using common mid-point gather in wavenumber-space-time domain apply our algorithm to real data more successfully, we need to improve the accuracy of the Laplace transformation for the wavefields in the time domain... Park*, Yunhui,S Pyun,C Shin - Blackwell Pub...
Time domain elastodynamic boundary element methods are prone to numerical instabilities. Under suitable conditions, these instabilities can swamp the transient response of a system. We show evidence of these instabilities in both the direct and indirect boundary element methods. We summarize the literature...