A method to control the instability of a class of Laplace transform inversion algorithms

A simple method is presented for controlling the numerical instability, inherent in the Laplace transform inversion techniques, which are based on the truncation of Legendre function series expansions. A criterion characterizing the quality of the approximation is also proposed.

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Bibliographic Details
Published in:Proceedings of the IEEE Vol. 71; no. 6; pp. 775 - 776
Main Authors: Therapos, C.P., Diamessis, J.E.
Format: Journal Article
Language:English
Published: IEEE 01.01.1983
Subjects:
Approximation algorithms
Arithmetic
Integral equations
Laplace equations
Linear systems
Polynomials
Roundoff errors
ISSN:0018-9219
Online Access:Get full text
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Description
Summary:A simple method is presented for controlling the numerical instability, inherent in the Laplace transform inversion techniques, which are based on the truncation of Legendre function series expansions. A criterion characterizing the quality of the approximation is also proposed.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0018-9219
DOI:10.1109/PROC.1983.12667