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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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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Abstract	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.
AbstractList	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.
Author	Therapos, C.P. Diamessis, J.E.
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SubjectTerms	Approximation algorithms Arithmetic Integral equations Laplace equations Linear systems Polynomials Roundoff errors
Title	A method to control the instability of a class of Laplace transform inversion algorithms
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