{"id":"https://openalex.org/W7207563531","doi":"https://doi.org/10.5281/zenodo.22267392","title":"Rounding Errors With Real Consequences: A Interdisciplinary Mapping Review of Numerical Analysis in the Age of Floating Points","display_name":"Rounding Errors With Real Consequences: A Interdisciplinary Mapping Review of Numerical Analysis in the Age of Floating Points","publication_year":2026,"publication_date":"2026-09-03","ids":{"openalex":"https://openalex.org/W7207563531","doi":"https://doi.org/10.5281/zenodo.22267392"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.22267392","doi":"https://doi.org/10.5281/zenodo.22267392","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22267392","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.22267392","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120933120","display_name":"Zen Revista","orcid":"https://orcid.org/0009-0007-6299-2008","observed_orcids":["https://orcid.org/0009-0007-6299-2008"]},"institutions":[{"id":"https://openalex.org/I4210124990","display_name":"Faculdades Guarulhos","ror":"https://ror.org/02s6maw65","country_code":"BR","type":"other","lineage":["https://openalex.org/I4210124990"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Revista, Zen","raw_affiliation_strings":["Faculdade de Guarulhos (FG)"],"raw_orcid":"https://orcid.org/0009-0007-6299-2008","affiliations":[{"raw_affiliation_string":"Faculdade de Guarulhos (FG)","institution_ids":["https://openalex.org/I4210124990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5149775739","display_name":"10 MATH","orcid":"https://orcid.org/0009-0007-6299-2008","observed_orcids":["https://orcid.org/0009-0007-6299-2008"]},"institutions":[{"id":"https://openalex.org/I4210124990","display_name":"Faculdades Guarulhos","ror":"https://ror.org/02s6maw65","country_code":"BR","type":"other","lineage":["https://openalex.org/I4210124990"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"MATH, 10","raw_affiliation_strings":["Faculdade de Guarulhos (FG)"],"raw_orcid":"https://orcid.org/0009-0007-6299-2008","affiliations":[{"raw_affiliation_string":"Faculdade de Guarulhos (FG)","institution_ids":["https://openalex.org/I4210124990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210124990"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9667999744415283,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9667999744415283,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13806","display_name":"Mathematical and Computational Methods","score":0.02199999988079071,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.0052999998442828655,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"numerical analysis","score":0.8479999899864197},{"id":"https://openalex.org/keywords/floating-point-arithmetic","display_name":"floating-point arithmetic","score":0.7089999914169312},{"id":"https://openalex.org/keywords/round-off-error","display_name":"rounding errors","score":0.9779999852180481},{"id":"https://openalex.org/keywords/precision","display_name":"precision","score":0.5180000066757202},{"id":"https://openalex.org/keywords/history-of-numerical-analysis","display_name":"history of numerical analysis","score":0.7400000095367432},{"id":"https://openalex.org/keywords/methodological-pluralism","display_name":"methodological pluralism","score":0.7820000052452087},{"id":"https://openalex.org/keywords/data-intensive-science","display_name":"data-intensive research","score":0.7170000076293945},{"id":"https://openalex.org/keywords/publication-practices","display_name":"publication practices","score":0.6650000214576721},{"id":"https://openalex.org/keywords/interdisciplinary-research","display_name":"interdisciplinary research","score":0.515999972820282},{"id":"https://openalex.org/keywords/conceptual-disputes","display_name":"conceptual disputes","score":0.4429999887943268}],"concepts":[{"id":"https://openalex.org/C108154423","wikidata":"https://www.wikidata.org/wiki/Q1469792","display_name":"Salience (neuroscience)","level":2,"score":0.6015999913215637},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.5684000253677368},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.5094000101089478},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4855000078678131},{"id":"https://openalex.org/C199033989","wikidata":"https://www.wikidata.org/wiki/Q1318295","display_name":"Narrative","level":2,"score":0.451200008392334},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.444599986076355},{"id":"https://openalex.org/C14224292","wikidata":"https://www.wikidata.org/wiki/Q13600188","display_name":"Conceptual framework","level":2,"score":0.4417000114917755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44020000100135803},{"id":"https://openalex.org/C49831778","wikidata":"https://www.wikidata.org/wiki/Q879021","display_name":"Pluralism (philosophy)","level":2,"score":0.429500013589859},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.42419999837875366},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.41679999232292175},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3682999908924103},{"id":"https://openalex.org/C7991579","wikidata":"https://www.wikidata.org/wiki/Q17955","display_name":"Criticism","level":2,"score":0.3612000048160553},{"id":"https://openalex.org/C55587333","wikidata":"https://www.wikidata.org/wiki/Q1133029","display_name":"Engineering ethics","level":1,"score":0.3190000057220459},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3172999918460846},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.3133000135421753},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.26249998807907104},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.26109999418258667},{"id":"https://openalex.org/C133462117","wikidata":"https://www.wikidata.org/wiki/Q4929239","display_name":"Data collection","level":2,"score":0.25839999318122864}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.22267392","doi":"https://doi.org/10.5281/zenodo.22267392","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22267392","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},{"id":"doi:10.5281/zenodo.22527068","doi":"https://doi.org/10.5281/zenodo.22527068","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22527068","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},{"id":"doi:10.5281/zenodo.22527069","doi":"https://doi.org/10.5281/zenodo.22527069","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22527069","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"doi:10.5281/zenodo.22267392","doi":"https://doi.org/10.5281/zenodo.22267392","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22267392","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7204965306","https://openalex.org/W7206209432","https://openalex.org/W7206187082","https://openalex.org/W7204931264","https://openalex.org/W7214283573","https://openalex.org/W1636863616","https://openalex.org/W7204687237","https://openalex.org/W7161682670","https://openalex.org/W4253605863","https://openalex.org/W7071670643"],"abstract_inverted_index":{"This":[0],"article":[1,194],"presents":[2],"a":[3,144,148,199,205],"narrative":[4],"review":[5,51,125],"of":[6,12,18,47,56,75,99,155,161,183],"Numerical":[7],"Analysis":[8],"in":[9,15,209],"the":[10,16,50,53,57,60,72,78,85,97,109,130,151,156,159,181],"Age":[11],"Floating":[13],"Points":[14],"context":[17],"Mathematics.":[19,210],"The":[20,124,193],"literature":[21,131],"on":[22,43,188],"this":[23],"topic":[24,157],"has":[25],"expanded":[26],"substantially":[27],"over":[28],"recent":[29],"decades,":[30],"yet":[31],"it":[32],"remains":[33],"fragmented":[34],"across":[35],"subfields,":[36],"methods,":[37],"and":[38,63,70,84,102,107,150,180,185,204],"national":[39],"research":[40,116,175],"traditions.":[41],"Drawing":[42],"an":[44],"interpretive":[45],"synthesis":[46,178],"representative":[48],"contributions,":[49],"reconstructs":[52],"historical":[54],"development":[55],"area,":[58],"examines":[59],"conceptual":[61,164],"foundations":[62],"definitional":[64,184],"disputes":[65],"that":[66,88],"organize":[67],"its":[68,162],"debates,":[69],"maps":[71],"contemporary":[73],"landscape":[74],"research,":[76],"including":[77],"methodological":[79,138],"shift":[80],"toward":[81],"data-intensive":[82],"approaches":[83],"institutional":[86],"pressures":[87],"shape":[89],"publication":[90],"practice.":[91],"Particular":[92],"attention":[93],"is":[94,132,140,171,195],"given":[95],"to":[96,108],"role":[98],"numerical":[100],"analysis":[101],"precision":[103],"as":[104,143,147,197],"organizing":[105],"themes,":[106],"conditions":[110],"under":[111],"which":[112,189],"findings":[113],"from":[114],"different":[115],"traditions":[117],"can":[118],"be":[119],"brought":[120],"into":[121],"productive":[122],"comparison.":[123],"identifies":[126],"three":[127],"synthetic":[128],"conclusions:":[129],"cumulatively":[133],"strong":[134],"but":[135],"organizationally":[136],"weak;":[137],"pluralism":[139],"better":[141],"understood":[142],"resource":[145],"than":[146],"defect;":[149],"growing":[152],"practical":[153],"salience":[154],"raises":[158],"stakes":[160],"unresolved":[163],"questions.":[165],"An":[166],"agenda":[167],"for":[168,202,207],"future":[169],"work":[170,187],"proposed,":[172],"emphasizing":[173],"integrative":[174],"designs,":[176],"transparent":[177],"practices,":[179],"protection":[182],"infrastructural":[186],"cumulative":[190],"progress":[191],"depends.":[192],"intended":[196],"both":[198],"reference":[200],"map":[201],"newcomers":[203],"provocation":[206],"specialists":[208]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-04T00:00:00"}