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A Procedure for Laplace Transform Inversion Based on Smoothing Exponential-Polynomial Splines

  • Rosanna CampagnaEmail author
  • Costanza Conti
  • Salvatore Cuomo
Conference paper
  • 21 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11973)

Abstract

Multi-exponential decaying data are very frequent in applications and a continuous description of this type of data allows the use of mathematical tools for data analysis such as the Laplace Transform (LT). In this work a numerical procedure for the Laplace Transform Inversion (LTI) of multi-exponential decaying data is proposed. It is based on a new fitting model, that is a smoothing exponential-polynomial spline with segments expressed in Bernstein-like bases. A numerical experiment concerning the application of a LTI method applied to our spline model highlights that it is very promising in the LTI of exponential decay data.

Keywords

Laplace Transform Inversion Exponential-polynomial spline Multi-exponential data 

Notes

Acknowledgements

The authors are members of the INdAM Research group GNCS and of the Research ITalian network on Approximation (RITA).

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Agricultural SciencesUniversity of Naples Federico IIPortici, NaplesItaly
  2. 2.Department of Industrial EngineeringUniversity of FlorenceFlorenceItaly
  3. 3.Department of Mathematics and Applications “R. Caccioppoli”University of Naples Federico IINaplesItaly

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