{"id":"https://openalex.org/W2059278501","doi":"https://doi.org/10.1007/s00607-011-0173-9","title":"A class of problems that can be solved using interval algorithms","display_name":"A class of problems that can be solved using interval algorithms","publication_year":2011,"publication_date":"2011-11-21","ids":{"openalex":"https://openalex.org/W2059278501","doi":"https://doi.org/10.1007/s00607-011-0173-9","mag":"2059278501"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-011-0173-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00607-011-0173-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00607-011-0173-9.pdf","source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00607-011-0173-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002291613","display_name":"Bart\u0142omiej Jacek Kubica","orcid":"https://orcid.org/0000-0002-5547-3759"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Bart\u0142omiej Jacek Kubica","raw_affiliation_strings":["Institute of Control and Computation Engineering, WUT, ul. Nowowiejska 15/19, 00-665, Warsaw, Poland","Institute of Control and Computation Engineering, WUT, ul. Nowowiejska 15/19, 00-665, Warsaw, Poland#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Control and Computation Engineering, WUT, ul. Nowowiejska 15/19, 00-665, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]},{"raw_affiliation_string":"Institute of Control and Computation Engineering, WUT, ul. Nowowiejska 15/19, 00-665, Warsaw, Poland#TAB#","institution_ids":["https://openalex.org/I108403487"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002291613"],"corresponding_institution_ids":["https://openalex.org/I108403487"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.8831,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.85327357,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"94","issue":"2-4","first_page":"271","last_page":"280"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.974399983882904,"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"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9502000212669373,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7199796438217163},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6745434999465942},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.6079209446907043},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5654447078704834},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.5143305063247681},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5116289258003235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42309439182281494},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3657515347003937},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11554482579231262},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08944922685623169}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7199796438217163},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6745434999465942},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.6079209446907043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5654447078704834},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.5143305063247681},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5116289258003235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42309439182281494},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3657515347003937},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11554482579231262},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08944922685623169},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00607-011-0173-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00607-011-0173-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00607-011-0173-9.pdf","source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00607-011-0173-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00607-011-0173-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00607-011-0173-9.pdf","source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2059278501.pdf","grobid_xml":"https://content.openalex.org/works/W2059278501.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W10040640","https://openalex.org/W28959149","https://openalex.org/W57462620","https://openalex.org/W101462505","https://openalex.org/W271412832","https://openalex.org/W845427635","https://openalex.org/W993137027","https://openalex.org/W1540125941","https://openalex.org/W1734024950","https://openalex.org/W1827235740","https://openalex.org/W1839782016","https://openalex.org/W1990213376","https://openalex.org/W2021221313","https://openalex.org/W2066702091","https://openalex.org/W2067648572","https://openalex.org/W2074889702","https://openalex.org/W2129480103","https://openalex.org/W2162372718","https://openalex.org/W2396920442","https://openalex.org/W2400137229","https://openalex.org/W2403711553","https://openalex.org/W2404168692","https://openalex.org/W2483775066","https://openalex.org/W3145128584","https://openalex.org/W3146520007","https://openalex.org/W4246219036","https://openalex.org/W4298255709"],"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":{"The":[0],"paper":[1],"discusses":[2],"several":[3],"theoretical":[4],"and":[5,30,40],"implementational":[6],"problems":[7,19],"of":[8,18,32],"interval":[9],"branch-and-bound":[10],"methods.":[11],"A":[12],"trial":[13],"to":[14],"define":[15],"a":[16],"class":[17],"that":[20],"can":[21],"be":[22],"solved":[23],"with":[24],"such":[25],"methods":[26],"is":[27],"done.":[28],"Features":[29],"variants":[31],"the":[33],"method":[34],"are":[35,44],"presented.":[36],"Useful":[37],"data":[38],"structures":[39],"shared-memory":[41],"parallelization":[42],"issues":[43],"considered.":[45]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
