Self-verified extension of affine arithmetic to arbitrary order

<p>Affine Arithmetic (AA) is a self-verifying computational approach that keeps track of first-order correlation between uncertainties in the data and intermediate and final results.</p><p>In this paper we propose a higher-order extension satisfying the requirements of genericity, arb...

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Bibliographic Details
Main Author: Giuseppe Bilotta
Format: Article
Language:English
Published: Università degli Studi di Catania 2008-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/47
Description
Summary:<p>Affine Arithmetic (AA) is a self-verifying computational approach that keeps track of first-order correlation between uncertainties in the data and intermediate and final results.</p><p>In this paper we propose a higher-order extension satisfying the requirements of genericity, arbitrary-order and self-verification, comparing the resulting ethod with other well-known high-order extensions of AA.</p>
ISSN:0373-3505
2037-5298