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High-Precision Numerical Integration:Progress and Challenges

Borwein, Jonathan M. and Bailey, David H. (2008) High-Precision Numerical Integration:Progress and Challenges. In: MICA conference.

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    Abstract

    One of the most fruitful advances in the field of experimental mathematics has been the development of practical methods for very high-precision numerical integration, a quest initiated by Keith Geddes and other researchers in the 1980s and 1990s. These techniques, when coupled with equally powerful integer relation detection methods, have resulted in the analytic evaluation of many integrals that previously were beyond the realm of symbolic techniques. This paper presents a survey of the current state-of-the-art in this area (including results by the present authors and others), mentions some new results, and then sketches what challenges lie ahead.

    Item Type: Conference or Workshop Item (Other)
    Additional Information: pubdom FALSE
    Subjects: 65-xx Numerical analysis
    Faculty: UNSPECIFIED
    Depositing User: lingyun ye
    Date Deposited: 07 Feb 2008
    Last Modified: 23 Feb 2015 15:55
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/382

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