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High-Precision Arithmetic in Mathematical Physics

Bailey, David H. and Borwein, Jonathan M. (2015) High-Precision Arithmetic in Mathematical Physics. Mathematics (3). pp. 337-367.

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    Abstract

    At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scientific applications. However, for a rapidly growing body of important scientific computing applications, a higher level of numeric precision is required. Such calculations are facilitated by high-precision software packages that include high-level language translation modules to minimize the conversion effort. This paper presents a survey of recent applications of these techniques and provides some analysis of their numerical requirements. These applications include supernova simulations, climate modeling, planetary orbit calculations, Coulomb n-body atomic systems, scattering amplitudes of quarks, gluons and bosons, nonlinear oscillator theory, Ising theory, quantum field theory and experimental mathematics. We conclude that high-precision arithmetic facilities are now an indispensable component of a modern large-scale scientific computing environment.

    Item Type: Article
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Mrs Naghmana Tehseen
    Date Deposited: 05 Sep 2016 21:03
    Last Modified: 05 Sep 2016 21:03
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1744

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