A Procedure for Laplace Transform Inversion Based on Smoothing Exponential-Polynomial Splines
- 21 Downloads
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.
KeywordsLaplace Transform Inversion Exponential-polynomial spline Multi-exponential data
The authors are members of the INdAM Research group GNCS and of the Research ITalian network on Approximation (RITA).
- 10.Henrici, P.: Applied and Computational Complex Analysis, Volume 1: Power Series Integration Conformal Mapping Location of Zero (1988)Google Scholar
- 15.Romano, A., Campagna, R., Masi, P., Cuomo, S., Toraldo, G.: Data-driven approaches to predict states in a food technology case study. In: 2018 IEEE 4th International Forum on Research and Technology for Society and Industry (RTSI), pp. 1–5 (2018)Google Scholar