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 |
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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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