IEEE - Institute of Electrical and Electronics Engineers, Inc. - Multiple-Precision Evaluation of the Airy Ai Function with Reduced Cancellation

2013 IEEE 21st Symposium on Computer Arithmetic (ARITH)

Author(s): S. Chevillard ; M. Mezzarobba
Sponsor(s): IEEE Comput. Soc.
Publisher: IEEE - Institute of Electrical and Electronics Engineers, Inc.
Publication Date: 1 April 2013
Conference Location: Austin, TX, USA
Conference Date: 7 April 2013
Page(s): 175 - 182
ISBN (Paper): 978-1-4673-5644-2
ISSN (Paper): 1063-6889
DOI: 10.1109/ARITH.2013.33
Regular:

The series expansion at the origin of the Airy function Ai(x) is alternating and hence problematic to evaluate for x > 0 due to cancellation. Based on a method recently proposed by Gawronski,... View More

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