High-precision floating-point arithmetic in scientific computation

IEEE 64-bit floating-point arithmetic is sufficient for most scientific applications, but a rapidly growing body of scientific computing applications requires a higher level of numeric precision. Software packages have yielded interesting scientific results that suggest numeric precision in scientif...

Full description

Saved in:
Bibliographic Details
Published in:Computing in science & engineering Vol. 7; no. 3; pp. 54 - 61
Main Author: Bailey, D.H.
Format: Journal Article
Language:English
Published: New York IEEE 01.05.2005
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
ISSN:1521-9615, 1558-366X
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract IEEE 64-bit floating-point arithmetic is sufficient for most scientific applications, but a rapidly growing body of scientific computing applications requires a higher level of numeric precision. Software packages have yielded interesting scientific results that suggest numeric precision in scientific computations could be as important to program design as algorithms and data structures.
AbstractList IEEE 64-bit floating-point arithmetic is sufficient for most scientific applications, but a rapidly growing body of scientific computing applications requires a higher level of numeric precision. Software packages have yielded interesting scientific results that suggest numeric precision in scientific computations could be as important to program design as algorithms and data structures.
Author Bailey, D.H.
Author_xml – sequence: 1
  givenname: D.H.
  surname: Bailey
  fullname: Bailey, D.H.
  organization: Lawrence Berkeley Nat. Lab., CA, USA
BookMark eNqF0b9LAzEUB_AgCrbVzc2lOIiDV_P7klFLtULFQQW3I83l2pRrcibp4H9vSgWhoE55gc978N63Dw6ddwaAMwRHCEF58zR-mYwwhGzE8AHoIcZEQTh_P9zWGBWSI3YM-jGuIIRUSNYDd1O7WBZdMNpG692wab1K1i2KzluXhirYtFybZPXQumHU1rhkm_zTft1tUqbenYCjRrXRnH6_A_B2P3kdT4vZ88Pj-HZWaCpIKhAltBZYQYhZyXBZ6zmdI6EllJBJVdJaccgbwTQnDePYSKIbOtdEz2tSN4IMwOVubhf8x8bEVK1t1KZtlTN-EyssBSe4RBle_QkRLxEuOSrZ_xRiLCSHgmR6sUdXfhNc3rgSXGYhKM0I75AOPsZgmkrb3ZVSULbN86ptUtU2qWqbVMVwbrrea-qCXavw-Rs_33FrjPmhFDMiOfkCeGWd8A
CODEN CSENFA
CitedBy_id crossref_primary_10_1002_jcc_20829
crossref_primary_10_1109_TASE_2021_3087353
crossref_primary_10_1016_j_cam_2016_05_001
crossref_primary_10_1109_LAWP_2014_2323211
crossref_primary_10_1007_s10999_021_09540_2
crossref_primary_10_1016_j_enganabound_2010_05_011
crossref_primary_10_1145_2512430
crossref_primary_10_1016_j_jss_2024_112242
crossref_primary_10_1007_s10617_019_09225_2
crossref_primary_10_1016_j_compstruct_2021_114579
crossref_primary_10_1007_s11075_014_9931_z
crossref_primary_10_1016_j_cpc_2020_107562
crossref_primary_10_1109_ACCESS_2025_3572430
crossref_primary_10_1007_s11009_019_09739_z
crossref_primary_10_1016_j_camwa_2014_12_004
crossref_primary_10_1080_19393555_2016_1212954
crossref_primary_10_1016_j_enganabound_2013_01_003
crossref_primary_10_1016_j_cpc_2023_108839
crossref_primary_10_1016_j_cpc_2021_108167
crossref_primary_10_2514_1_J058434
crossref_primary_10_1109_MAP_2013_6529388
crossref_primary_10_1145_3567423
crossref_primary_10_1007_s11075_013_9715_x
crossref_primary_10_1016_j_nuclphysb_2008_05_017
crossref_primary_10_1007_s10910_018_0932_3
crossref_primary_10_1007_s11227_012_0860_0
crossref_primary_10_1039_C4FD00005F
crossref_primary_10_1109_TPAMI_2006_234
crossref_primary_10_1177_1094342020938425
crossref_primary_10_1007_s10766_014_0326_5
crossref_primary_10_1016_j_pmcj_2017_03_011
crossref_primary_10_1007_s10915_017_0619_0
crossref_primary_10_1088_1751_8113_42_38_385101
crossref_primary_10_1016_j_procs_2014_05_129
crossref_primary_10_1190_geo2018_0760_1
crossref_primary_10_1587_transinf_E94_D_2173
crossref_primary_10_1007_s10915_012_9679_3
crossref_primary_10_1007_s00382_015_2809_5
crossref_primary_10_1007_s10910_018_0985_3
crossref_primary_10_1016_j_nima_2005_11_140
crossref_primary_10_1007_s12532_010_0014_4
crossref_primary_10_1016_j_media_2020_101930
crossref_primary_10_1017_S174392130999024X
crossref_primary_10_1109_MC_2019_2926614
crossref_primary_10_1145_2850449_2850456
crossref_primary_10_1177_1094342017704893
crossref_primary_10_1016_j_enganabound_2011_07_008
crossref_primary_10_1016_j_ins_2019_01_070
crossref_primary_10_1007_s11227_023_05814_y
crossref_primary_10_1145_3371275
crossref_primary_10_1016_j_cpc_2009_10_026
crossref_primary_10_1137_080734716
crossref_primary_10_1002_jcc_21578
crossref_primary_10_1016_j_mejo_2015_10_012
Cites_doi 10.1145/355769.355775
10.1007/978-1-4684-9316-0
10.1080/10586458.2001.10504441
10.1090/S0025-5718-97-00856-9
10.2307/4015066
10.1088/0953-4075/35/20/314
10.1016/0167-2789(93)90195-7
10.1103/PhysRevLett.77.1715
10.1090/S0025-5718-00-01278-3
10.1080/10586458.2002.10504704
10.1088/0953-4075/36/9/315
10.1023/A:1008153532043
10.1038/scientificamerican0503-23
10.1016/S0377-0427(99)00153-3
10.1109/5992.814653
10.1103/PhysRevLett.81.774
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2005
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2005
DBID 97E
RIA
RIE
AAYXX
CITATION
7SC
7SP
7TB
8FD
FR3
JQ2
KR7
L7M
L~C
L~D
F28
DOI 10.1109/MCSE.2005.52
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Computer and Information Systems Abstracts
Electronics & Communications Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
ProQuest Computer Science Collection
Civil Engineering Abstracts
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
ANTE: Abstracts in New Technology & Engineering
DatabaseTitle CrossRef
Civil Engineering Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Mechanical & Transportation Engineering Abstracts
Electronics & Communications Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
ANTE: Abstracts in New Technology & Engineering
DatabaseTitleList Civil Engineering Abstracts
Civil Engineering Abstracts

Civil Engineering Abstracts
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
Sciences (General)
Mathematics
EISSN 1558-366X
EndPage 61
ExternalDocumentID 2361346551
10_1109_MCSE_2005_52
1425396
Genre orig-research
GroupedDBID -~X
.DC
0R~
29F
4.4
5GY
5VS
6IK
6J9
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACGFO
ACGFS
ACIWK
ADCTM
AENEX
AETIX
AGKCL
AGQYO
AGSQL
AHBIQ
AHSDT
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ATWAV
AZLTO
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
D0L
DU5
EBS
EJD
F5P
GX1
HZ~
H~9
IEDLZ
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
MVM
O9-
OCL
P2P
PQQKQ
PZZ
RIA
RIE
RNI
ROL
RZB
TN5
TWZ
VH1
WH7
~02
AAYXX
CITATION
7SC
7SP
7TB
8FD
ABFTF
FR3
JQ2
KR7
L7M
L~C
L~D
RIG
F28
ID FETCH-LOGICAL-c483t-1434d82a00257527dcb4b18c909059a74da606f85c63f562e93cf4bc3cbd3df83
IEDL.DBID RIE
ISICitedReferencesCount 87
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000228487100010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1521-9615
IngestDate Sun Nov 09 13:26:13 EST 2025
Sun Sep 28 07:45:05 EDT 2025
Sat Sep 27 18:08:23 EDT 2025
Sun Jun 29 12:25:17 EDT 2025
Sat Nov 29 01:49:20 EST 2025
Tue Nov 18 21:20:22 EST 2025
Wed Aug 27 02:22:33 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 3
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
https://doi.org/10.15223/policy-029
https://doi.org/10.15223/policy-037
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c483t-1434d82a00257527dcb4b18c909059a74da606f85c63f562e93cf4bc3cbd3df83
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
content type line 23
ObjectType-Article-1
ObjectType-Feature-2
OpenAccessLink https://digital.library.unt.edu/ark:/67531/metadc782880/m2/1/high_res_d/860342.pdf
PQID 869083844
PQPubID 23500
PageCount 8
ParticipantIDs proquest_miscellaneous_1671276175
ieee_primary_1425396
proquest_miscellaneous_1022896083
proquest_miscellaneous_29863271
proquest_journals_869083844
crossref_citationtrail_10_1109_MCSE_2005_52
crossref_primary_10_1109_MCSE_2005_52
PublicationCentury 2000
PublicationDate 2005-05-01
PublicationDateYYYYMMDD 2005-05-01
PublicationDate_xml – month: 05
  year: 2005
  text: 2005-05-01
  day: 01
PublicationDecade 2000
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle Computing in science & engineering
PublicationTitleAbbrev CISE-M
PublicationYear 2005
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref12
ref23
bailey (ref18) 1999
ref15
kahan (ref14) 1998
barrowes (ref11) 2005
bailey (ref4) 2004
bailey (ref3) 2004
ref20
ref22
ref21
ref2
zhang (ref10) 1994; 77
ref1
broadhurst (ref24) 2005
ref17
ref19
ref8
ref7
ref9
ref6
ref5
bailey (ref13) 0
borwein (ref16) 2003
References_xml – ident: ref2
  doi: 10.1145/355769.355775
– ident: ref1
  doi: 10.1007/978-1-4684-9316-0
– year: 1999
  ident: ref18
  article-title: A Seventeenth-Order Polylogarithm Ladder
  publication-title: Computational Research Division Berkeley Lab Computing Sciences
– ident: ref20
  doi: 10.1080/10586458.2001.10504441
– ident: ref19
  doi: 10.1090/S0025-5718-97-00856-9
– year: 2005
  ident: ref11
  article-title: Asymptotic Expansions of the Prolate Angular Spheroidal Wave Function for Complex Size Parameter
  publication-title: Studies in Applied Mathematics
– ident: ref22
  doi: 10.2307/4015066
– ident: ref7
  doi: 10.1088/0953-4075/35/20/314
– ident: ref12
  doi: 10.1016/0167-2789(93)90195-7
– volume: 77
  start-page: 1715
  year: 1994
  ident: ref10
  article-title: QED Corrections of O(mc2a7Ina) to the Fine Structure Splittings of Helium and He-Like lons
  publication-title: Physical Rev Letters
  doi: 10.1103/PhysRevLett.77.1715
– year: 2005
  ident: ref24
  article-title: Massive Three-Loop Feynman Diagrams Reducible to SC* Primitives of Algebras of the Sixth Root of Unity
  publication-title: European Journal of Physics
– ident: ref17
  doi: 10.1090/S0025-5718-00-01278-3
– year: 2004
  ident: ref3
  article-title: A Comparison of Three High-Precision Quadrature Schemes
  publication-title: Computational Research Division Berkeley Lab Computing Sciences
– ident: ref23
  doi: 10.1080/10586458.2002.10504704
– ident: ref8
  doi: 10.1088/0953-4075/36/9/315
– start-page: 52
  year: 0
  ident: ref13
  article-title: Multiple Precision, Multiple Processor Vortex Sheet Roll-Up Computation
  publication-title: Proc 6th SIAM Conf Parallel Processing for Scientific Computing SIAM Press
– ident: ref5
  doi: 10.1023/A:1008153532043
– year: 1998
  ident: ref14
  article-title: How Java's Floating-Point Hurts Everyone Everywhere
– ident: ref21
  doi: 10.1038/scientificamerican0503-23
– year: 2003
  ident: ref16
  publication-title: Mathematics by Experiment Plausible Reasoning in the 21 st Century AK Peters
– year: 2004
  ident: ref4
  article-title: Highly Parallel, High-Precision Numerical lntegration
  publication-title: Computational Research Division Berkeley Lab Computing Sciences
– ident: ref6
  doi: 10.1016/S0377-0427(99)00153-3
– ident: ref15
  doi: 10.1109/5992.814653
– ident: ref9
  doi: 10.1103/PhysRevLett.81.774
SSID ssj0004895
Score 2.078103
Snippet IEEE 64-bit floating-point arithmetic is sufficient for most scientific applications, but a rapidly growing body of scientific computing applications requires...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 54
SubjectTerms Algorithms
Application software
Arithmetic
climate modeling
Computation
computational chemistry
computational physics
Data structures
experimental mathematics
Floating point arithmetic
High level languages
High performance computing
high-precision arithmetic
Mathematical models
Mathematics
Packaging
Personal communication networks
quantum theory
Software algorithms
Software packages
Software performance
Title High-precision floating-point arithmetic in scientific computation
URI https://ieeexplore.ieee.org/document/1425396
https://www.proquest.com/docview/869083844
https://www.proquest.com/docview/1022896083
https://www.proquest.com/docview/1671276175
https://www.proquest.com/docview/29863271
Volume 7
WOSCitedRecordID wos000228487100010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVIEE
  databaseName: IEEE Electronic Library (IEL)
  customDbUrl:
  eissn: 1558-366X
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0004895
  issn: 1521-9615
  databaseCode: RIE
  dateStart: 19990101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1NT9wwEB0B6oEeoECrhq-6EpVatS5xbMf2kSJQL6BKtBK3yHEcsRIkq90sv5-xkw1ClEq9xfIcrIzH88aemQdwVIncm7RG--aWU4EuhNpaS2pzpSSzmUu9iGQT6vJSX1-bXyvwbayF8d7H5DP_PXzGt_yqdYtwVXbMcINxk6_CqlKqr9V6rIHUkWEluCNq0E2PSe7m-OL06qy_PZHZE_cT-VSeHcLRs5xv_t-a3sDGgCDJSa_yLVjxzTZsDmiSDLY634bXF2NHVhxtLSfI56HT9Jcd-BGyPOh0NvDskPq2tSENmk7bSdMRDKO7m7tQ5UgmDelLJ0NmEXGRCiLq9C38OT_7ffqTDqQK1AnNO4r4SFQ6swHsKJmpypWiZNqZ1CDSskpUFmMaVJfLeY3gyBvualE67sqKV7Xm72CtaRv_Hoh00jPPmEeMKJSVKODxwNC1q2QqWJnA1-W_LtzQcTwQX9wWMfJITRE0E4gwZSGzBD6N0tO-08YLcjtBC48yvQIS2FuqsRjMcF4Eui3NtRAJfBxn0X7Co4htfLuYFyHi1RjGaf4PmVyxTCHWkwl8eEEmMzrnmWK7f1_eHqzHpq8xVXIf1rrZwh_AK3ffTeazw7iVHwDDufGE
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3daxQxEB9qW7A-WPuFa61NoYLSxm6-NsmjlpZKe4dghb4t2WwWD-rucbfn32-S3dsiWsG3DZmHsJPJ_CaZmR_Acckzp9PK2zczDHPvQrCplMAmk1IQQ23qeCSbkOOxurvTX1bgdKiFcc7F5DP3IXzGt_yysYtwVXZG_AZjOnsCa4JzSrpqrYcqSBU5VoJDwto76iHNXZ-Nzr9edPcngv7mgCKjyh_HcPQtl5v_t6oX8LzHkOhjp_QtWHH1Nmz2eBL11jrfhmejoSerH20tJ9C7vtf0-x34FPI88HTWM-2g6r4xIREaT5tJ3SIfSLfff4Q6RzSpUVc8GXKLkI1kEFGru_Dt8uL2_Ar3tArYcsVa7BESLxU1Ae5IQWVpC14QZXWqPdYykpfGRzVeYTZjlYdHTjNb8cIyW5SsrBTbg9W6qd1LQMIKRxwhzqNELo3wAs4fGaqypUg5KRI4Wf7r3PY9xwP1xX0eY49U50EzgQpT5IIm8HaQnna9Nh6R2wlaeJDpFJDA_lKNeW-I8zwQbimmOE_gaJj1FhSeRUztmsU8DzGv8oGcYv-QySSh0qM9kcDhIzJUq4xRSV79fXmH8PTqdnST33weX-_DRmwBGxMnX8NqO1u4A1i3P9vJfPYmbutfc9f0yw
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=High-precision+floating-point+arithmetic+in+scientific+computation&rft.jtitle=Computing+in+science+%26+engineering&rft.au=Bailey%2C+D+H&rft.date=2005-05-01&rft.issn=1521-9615&rft.volume=7&rft.issue=3&rft.spage=54&rft.epage=61&rft_id=info:doi/10.1109%2FMCSE.2005.52&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1521-9615&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1521-9615&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1521-9615&client=summon