High-Precision Computation: Mathematical Physics and Dynamics

Bailey, David H. and Borwein, Jonathan M. and Barrio, Roberto High-Precision Computation: Mathematical Physics and Dynamics. Unpublished . (Unpublished)

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    At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scientic applications. However, for a rapidly growing body of important scientic 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 ne 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 scientic computing environment.

    Item Type: Article
    Subjects: 68-xx Computer science
    Faculty: UNSPECIFIED
    Depositing User: eduardo castillo
    Date Deposited: 13 Dec 2010 11:51
    Last Modified: 09 Sep 2014 12:04

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