laplace transform inversion
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2021 ◽  
Vol 197 ◽  
pp. 107342
Author(s):  
L.J. Castañón ◽  
J.L. Naredo ◽  
J.R. Zuluaga ◽  
E. Bañuelos-Cabral ◽  
Pablo Gómez


2020 ◽  
Vol 383 ◽  
pp. 125376
Author(s):  
Rosanna Campagna ◽  
Costanza Conti ◽  
Salvatore Cuomo


Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1112
Author(s):  
María-Consuelo Casabán ◽  
Rafael Company ◽  
Lucas Jódar

In this paper, we propose an integral transform method for the numerical solution of random mean square parabolic models, that makes manageable the computational complexity due to the storage of intermediate information when one applies iterative methods. By applying the random Laplace transform method combined with the use of Monte Carlo and numerical integration of the Laplace transform inversion, an easy expression of the approximating stochastic process allows the manageable computation of the statistical moments of the approximation.



2019 ◽  
Vol 489 (6) ◽  
pp. 558-563
Author(s):  
A. G. Pavelyev ◽  
A. A. Pavelyev

New equations for Laplace transform inversion are obtained. The equations satisfy the causality principle. The impulse response of a channel is determined in order to analyze dispersion distortions in inhomogeneous media. The impulse response excludes the possibility that the signal exceeds the speed of light in the medium. The transmission bandwidth, the angular spectrum, and the Doppler shift in the ionosphere are computed.







2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Jerry P. Selvaggi ◽  
Jerry A. Selvaggi

The Fermi-Dirac-type or Bose-Einstein-type integrals can be transformed into two convergent real-convolution integrals. The transformation simplifies the integration process and may ultimately produce a complete analytical solution without recourse to any mathematical approximations. The real-convolution integrals can either be directly integrated or be transformed into the Laplace Transform inversion integral in which case the full power of contour integration becomes available. Which method is employed is dependent upon the complexity of the real-convolution integral. A number of examples are introduced which will illustrate the efficacy of the analytical approach.



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