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Title: High-precision arithmetic in mathematical physics

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. Furthermore, 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.
Authors:
 [1] ;  [2]
  1. Lawrence Berkeley National Lab., CA (United States); Univ. of California, Davis, CA (United States)
  2. Univ. of Newcastle, Callaghan (Australia)
Publication Date:
Grant/Contract Number:
AC02-05CH11231
Type:
Accepted Manuscript
Journal Name:
Mathematics
Additional Journal Information:
Journal Volume: 3; Journal Issue: 2; Journal ID: ISSN 2227-7390
Publisher:
MDPI
Research Org:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; high-precision arithmetic; numerical integration; PSLQ algorithm; Ising integrals; Poisson equation
OSTI Identifier:
1212153

Bailey, David H., and Borwein, Jonathan M.. High-precision arithmetic in mathematical physics. United States: N. p., Web. doi:10.3390/math3020337.
Bailey, David H., & Borwein, Jonathan M.. High-precision arithmetic in mathematical physics. United States. doi:10.3390/math3020337.
Bailey, David H., and Borwein, Jonathan M.. 2015. "High-precision arithmetic in mathematical physics". United States. doi:10.3390/math3020337. https://www.osti.gov/servlets/purl/1212153.
@article{osti_1212153,
title = {High-precision arithmetic in mathematical physics},
author = {Bailey, David H. and Borwein, Jonathan M.},
abstractNote = {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. Furthermore, 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.},
doi = {10.3390/math3020337},
journal = {Mathematics},
number = 2,
volume = 3,
place = {United States},
year = {2015},
month = {5}
}