High precision numerical accuracy in physics research

Concerns arise that the current standard of double-precision floating-point may no longer be sufficient for today's large-scale numerical simulations. One approach to solve this problem will be to switch to a wider floating-point format: the upcoming quadruple-precision standard is introduced a...

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Bibliographic Details
Published in:Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment Accelerators, spectrometers, detectors and associated equipment, 2006-04, Vol.559 (1), p.207-210
Main Authors: de Dinechin, Florent, Villard, Gilles
Format: Article
Language:English
Subjects:
Accuracy
Floating-point
Numerical simulation
Precision
Quadruple-precision
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Summary:Concerns arise that the current standard of double-precision floating-point may no longer be sufficient for today's large-scale numerical simulations. One approach to solve this problem will be to switch to a wider floating-point format: the upcoming quadruple-precision standard is introduced and compared to currently available software-based approaches. Another complimentary approach is to use mathematical and algorithmic techniques to improve the accuracy of large floating-point programs and the confidence in the quality of the result.
ISSN:0168-9002
1872-9576
DOI:10.1016/j.nima.2005.11.140