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Abstract: In this report, a new globally adaptive integration algorithm is presented. The algorithm utilizes knowledge-based control strategies to dynamically adapt the internally used integration formulas applied to newly created subregions. The algorithm adapts its control strategy to the observed integrand behavior to compute the desired numerical integral with a minimum number of integrand evaluations. The new algorithm has been tested on various integrand families boasting heavily oscillating parts, ... (Update)
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BibTeX entry: (Update)
@misc{ hlavacs-numerical,
author = "Helmut Hlavacs and Christoph W. Ueberhuber",
title = "Numerical Integration and Knowledge-Based Control",
url = "citeseer.ist.psu.edu/416658.html" }
Citations (may not include all citations):26 A Subroutine Package for Automatic Integration (context) - Piessens, De Doncker et al. - 1983
17 Numerical Integration on Advanced Computer Systems (context) - Krommer, Ueberhuber - 1994
2 Asymptotic behavior of automatic quadrature (context) - Favatti, Lotti et al. - 1994
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