{"id":"https://openalex.org/W170578834","doi":"https://doi.org/10.1007/978-3-7091-6282-8_12","title":"On the Ubiquity of the Wrapping Effect in the Computation of Error Bounds","display_name":"On the Ubiquity of the Wrapping Effect in the Computation of Error Bounds","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W170578834","doi":"https://doi.org/10.1007/978-3-7091-6282-8_12","mag":"170578834"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-7091-6282-8_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7091-6282-8_12","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Perspectives on Enclosure Methods","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091435515","display_name":"Rudolf Lohner","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rudolf J. Lohner","raw_affiliation_strings":["Universit\u00e4t Karlsruhe (TH), Institut f\u00fcr Angewandte Mathematik, D-76128, Karlsruhe, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Karlsruhe (TH), Institut f\u00fcr Angewandte Mathematik, D-76128, Karlsruhe, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5091435515"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.102,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.84932735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"201","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9785000085830688,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9722999930381775,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.7259008884429932},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7145393490791321},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.7080602049827576},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.70209139585495},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5996415019035339},{"id":"https://openalex.org/keywords/enclosure","display_name":"Enclosure","score":0.5889149904251099},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5136086940765381},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4613184630870819},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4242135286331177},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3115379214286804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14991381764411926},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1307489573955536},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10349240899085999},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.06692883372306824}],"concepts":[{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.7259008884429932},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7145393490791321},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.7080602049827576},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.70209139585495},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5996415019035339},{"id":"https://openalex.org/C98375054","wikidata":"https://www.wikidata.org/wiki/Q442709","display_name":"Enclosure","level":2,"score":0.5889149904251099},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5136086940765381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4613184630870819},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4242135286331177},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3115379214286804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14991381764411926},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1307489573955536},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10349240899085999},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.06692883372306824},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-7091-6282-8_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7091-6282-8_12","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Perspectives on Enclosure Methods","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W31566127","https://openalex.org/W73738603","https://openalex.org/W174370412","https://openalex.org/W191550043","https://openalex.org/W306903215","https://openalex.org/W1483874187","https://openalex.org/W1518139620","https://openalex.org/W1560553581","https://openalex.org/W1789809724","https://openalex.org/W1992040379","https://openalex.org/W2001805159","https://openalex.org/W2009954716","https://openalex.org/W2012580470","https://openalex.org/W2051110650","https://openalex.org/W2060924166","https://openalex.org/W2116679494","https://openalex.org/W2117060314","https://openalex.org/W2117251576","https://openalex.org/W2293807045","https://openalex.org/W2330548796","https://openalex.org/W2561675875","https://openalex.org/W4230895895"],"related_works":["https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W2012882356","https://openalex.org/W2098412892","https://openalex.org/W109635080","https://openalex.org/W4213384165","https://openalex.org/W2377262226","https://openalex.org/W2531534085","https://openalex.org/W4285295794","https://openalex.org/W2387705642"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2025-10-10T00:00:00"}