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Keywords = PSLQ algorithm

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31 pages, 904 KB  
Article
High-Precision Arithmetic in Mathematical Physics
by David H. Bailey and Jonathan M. Borwein
Mathematics 2015, 3(2), 337-367; https://doi.org/10.3390/math3020337 - 12 May 2015
Cited by 54 | Viewed by 12394
Abstract
For many scientific calculations, particularly those involving empirical data, IEEE 32-bit floating-point arithmetic produces results of sufficient accuracy, while for other applications IEEE 64-bit floating-point is more appropriate. But for some very demanding applications, even higher levels of precision are often required. This [...] Read more.
For many scientific calculations, particularly those involving empirical data, IEEE 32-bit floating-point arithmetic produces results of sufficient accuracy, while for other applications IEEE 64-bit floating-point is more appropriate. But for some very demanding applications, even higher levels of precision are often required. This article discusses the challenge of high-precision computation, in the context of mathematical physics, and highlights what facilities are required to support future computation, in light of emerging developments in computer architecture. Full article
(This article belongs to the Special Issue Mathematical physics)
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