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High-Precision Computation: Mathematical Physics and Dynamics.

Bailey, David H. and Barrio, Roberto and Borwein, Jonathan M. (2012) High-Precision Computation: Mathematical Physics and Dynamics. Applied Mathematics and Computation, 218 . pp. 10106-10121.

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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, studies of the fine structure constant, scattering amplitudes of quarks, gluons and bosons, nonlinear oscillator theory, experimental mathematics, evaluation of orthogonal polynomials, numerical integration of ODEs, computation of periodic orbits, studies of the splitting of separatrices, detection of SNAs, Ising theory, quantum field theory, and discrete dynamical systems. We conclude that high-precision arithmetic facilities are now an indispensable component of a modern large-scale scientific computing environment.

    Item Type: Article
    Additional Information: http://dx.doi.org/10.1016/j.amc.2012.03.087
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Dr David Allingham
    Date Deposited: 05 Oct 2012 13:13
    Last Modified: 03 Jan 2015 21:07
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1389

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