English

Optimized numerical inverse Laplace transformation

Numerical Analysis 2021-12-16 v1 Numerical Analysis

Abstract

Among the numerical inverse Laplace transformation (NILT) methods, those that belong to the Abate-Whitt framework (AWF) are considered to be the most efficient ones currently. It is a characteristic feature of the AWF NILT procedures that they are independent of the transform function and the time point of interest. In this work we propose an NILT procedure that goes beyond this limitation and optimize the accuracy of the NILT utilizing also the transform function and the time point of interest.

Cite

@article{arxiv.2112.08306,
  title  = {Optimized numerical inverse Laplace transformation},
  author = {Illes Horvath and Andras Meszaros and Miklos Telek},
  journal= {arXiv preprint arXiv:2112.08306},
  year   = {2021}
}
R2 v1 2026-06-24T08:18:54.838Z