High-Precision Computation and Mathematical Physics

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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 ... continued below

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Bailey, David H. & Borwein, Jonathan M. November 3, 2008.

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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.

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  • XII Advanced Computing and Analysis Techniques in Physics Research, Erice, Italy, 11/3-7/2008

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  • Report No.: LBNL-2160E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 964380
  • Archival Resource Key: ark:/67531/metadc925806

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Office of Scientific & Technical Information Technical Reports

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  • November 3, 2008

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  • Nov. 13, 2016, 7:26 p.m.

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  • Nov. 18, 2016, 4:26 p.m.

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Bailey, David H. & Borwein, Jonathan M. High-Precision Computation and Mathematical Physics, article, November 3, 2008; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc925806/: accessed June 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.