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High-Precision Numerical Integration: Progress and Challenges,

Bailey, D.H. and Borwein, Jonathan M. (2011) High-Precision Numerical Integration: Progress and Challenges,. Journal of Symbolic Computation, 46 . pp. 741-754.

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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: Article
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Dr David Allingham
    Date Deposited: 29 Oct 2012 17:33
    Last Modified: 03 Jan 2015 21:43
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1444

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