High-precision arithmetic in mathematical physics
type: Item
instance of: scholarly article
title: High-precision arithmetic in mathematical physics
zbMATH Open document ID: 1318.65025
author: D. H. Bailey
author: Jonathan M. Borwein
published in: Mathematics
publication date: 2015-07-07T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65G99
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 6456062
zbMATH Keywords: high-precision arithmetic
zbMATH Keywords: numerical integration
zbMATH Keywords: PSLQ algorithm
zbMATH Keywords: Ising integrals
zbMATH Keywords: Poisson equation
zbMATH Keywords: floating-point arithmetic
describes a project that uses: TIDES
describes a project that uses: RODES
describes a project that uses: gmp
describes a project that uses: CUDA
describes a project that uses: CutTools
describes a project that uses: BlackHat
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
full work available at URL: math3020337
OpenAlex ID: W1584707396
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DOI: 10.3390/MATH3020337
description: scientific article