The numerical performance of Tricomi's formula for inverting the Laplace transform
type: Item
instance of: scholarly article
title: The numerical performance of Tricomi's formula for inverting the Laplace transform
zbMATH Open document ID: 0602.65094
DOI: 10.1007/BF01400120
author: Bruno Gabutti
author: Paolo Lepora
published in: Numerische Mathematik
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133200
review text: A method for inverting the Laplace transform which uses an expansion into Laguerre polynomials is considered. By means of a recently established generalization of the Euler-Knopp transformation the rate of convergence of the series of Laguerre polynomials is accelerated. For computing the transformed series a recursive algorithm is given. Results of theoretical and practical nature make the usefulness of the new transformation evident.
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 3972145
zbMATH Keywords: Tricomi's formula
zbMATH Keywords: Euler-Knopp transformation
zbMATH Keywords: rate of convergence
zbMATH Keywords: series of Laguerre polynomials
zbMATH Keywords: recursive algorithm
zbMATH Keywords: Laplace transform inversion
zbMATH Keywords: convergence acceleration
MaRDI profile type: Publication
cites work: Laguerre polynomials and Laplace integrals
cites work: Numerical inversion of the Laplace transform: a survey and comparison of methods
cites work: Q3255695
cites work: Some generalizations of the Euler-Knopp transformation
cites work: A Modification of the Weeks Method for Numerical Inversion of the Laplace Transform
cites work: Numerical application of Euler's series transformation and its generalizations
cites work: A bibliography on numerical inversion of the Laplace transform and applications
cites work: Q5562171
cites work: Dual integral equations with trigonometrical kernels
cites work: Q5825956
cites work: A note on the generalised Euler transformation
OpenAlex ID: W2023214627
description: scientific article; zbMATH DE number 3972145