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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Vydané v:Proceedings of the IEEE Ročník 71; číslo 6; s. 775 - 776
Hlavní autori: Therapos, C.P., Diamessis, J.E.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: IEEE 01.01.1983
Predmet:
Approximation algorithms
Arithmetic
Integral equations
Laplace equations
Linear systems
Polynomials
Roundoff errors
ISSN:0018-9219
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Shrnutí: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.
Bibliografia:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9219
DOI:10.1109/PROC.1983.12667