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Author Veillon, Francoise
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Laplace transform inversion
Abstract This work forms part of a thesis presented in Grenoble in March 1972. Improvements made to the Dubner and Abate algorithm for numerical inversion of the Laplace transform [1] have led to results which compare favorably with theirs and those of Bellmann [2], and Stehfest [3]. The Dubner method leads to the approximation formula: ƒ(t) = 2eat/T[1/2Re{F(a)} + ∑∞k-1 Re{F(a + ikπ/T)}cos(kπt/T)], (1) where F(s) is the Laplace transform of ƒ(t) and a is positive and greater than the real parts of the singularities of ƒ(t).
Description Affiliation: Univ. de Grenoble, Grenoble-Gare, France (Veillon, Francoise)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 17
Issue Number 10
Page Count 3
Starting Page 587
Ending Page 589


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Source: ACM Digital Library