{"id":"https://openalex.org/W1734124139","doi":"https://doi.org/10.1007/978-3-540-70942-8_33","title":"Numerical Computations with Hausdorff Continuous Functions","display_name":"Numerical Computations with Hausdorff Continuous Functions","publication_year":2007,"publication_date":"2007-05-13","ids":{"openalex":"https://openalex.org/W1734124139","doi":"https://doi.org/10.1007/978-3-540-70942-8_33","mag":"1734124139"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-70942-8_33","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70942-8_33","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5006166724","display_name":"Roumen Anguelov","orcid":"https://orcid.org/0000-0001-5456-0466"},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Roumen Anguelov","raw_affiliation_strings":["University of Pretoria, Pretoria 0002, South Africa","University of Pretoria , Pretoria, South Africa"],"affiliations":[{"raw_affiliation_string":"University of Pretoria, Pretoria 0002, South Africa","institution_ids":["https://openalex.org/I69552723"]},{"raw_affiliation_string":"University of Pretoria , Pretoria, South Africa","institution_ids":["https://openalex.org/I69552723"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042451252","display_name":"Svetoslav Markov","orcid":"https://orcid.org/0000-0001-6810-8796"},"institutions":[{"id":"https://openalex.org/I4210148896","display_name":"Institute of Mechanics","ror":"https://ror.org/03x78r446","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210148896"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Svetoslav Markov","raw_affiliation_strings":["Institute of Mathematics and Informatics, BAS, \u201cAcad. G. Bonchev\u201d st., block 8, 1113 Sofia, Bulgaria","Institute of Mathematics and Informatics, BAS, Sofia, Bulgaria#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, BAS, \u201cAcad. G. Bonchev\u201d st., block 8, 1113 Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210105926","https://openalex.org/I4210148896"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, BAS, Sofia, Bulgaria#TAB#","institution_ids":["https://openalex.org/I4210105926"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006166724"],"corresponding_institution_ids":["https://openalex.org/I69552723"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.15109667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"279","last_page":"286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.992900013923645,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7671960592269897},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.5652323961257935},{"id":"https://openalex.org/keywords/continuous-functions-on-a-compact-hausdorff-space","display_name":"Continuous functions on a compact Hausdorff space","score":0.530387818813324},{"id":"https://openalex.org/keywords/continuous-function","display_name":"Continuous function (set theory)","score":0.5135300755500793},{"id":"https://openalex.org/keywords/arithmetic-function","display_name":"Arithmetic function","score":0.44851943850517273},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4478128254413605},{"id":"https://openalex.org/keywords/unit-interval","display_name":"Unit interval","score":0.43018803000450134},{"id":"https://openalex.org/keywords/generalized-function","display_name":"Generalized function","score":0.41178983449935913},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.405293345451355},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.331472784280777},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.18835312128067017}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7671960592269897},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.5652323961257935},{"id":"https://openalex.org/C48421718","wikidata":"https://www.wikidata.org/wiki/Q5165477","display_name":"Continuous functions on a compact Hausdorff space","level":3,"score":0.530387818813324},{"id":"https://openalex.org/C2778199601","wikidata":"https://www.wikidata.org/wiki/Q5165476","display_name":"Continuous function (set theory)","level":3,"score":0.5135300755500793},{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.44851943850517273},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4478128254413605},{"id":"https://openalex.org/C128394911","wikidata":"https://www.wikidata.org/wiki/Q1987578","display_name":"Unit interval","level":2,"score":0.43018803000450134},{"id":"https://openalex.org/C69151251","wikidata":"https://www.wikidata.org/wiki/Q846537","display_name":"Generalized function","level":2,"score":0.41178983449935913},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.405293345451355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.331472784280777},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.18835312128067017},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-70942-8_33","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-70942-8_33","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W180886423","https://openalex.org/W1666717315","https://openalex.org/W1975397112","https://openalex.org/W1998798933","https://openalex.org/W2011523859","https://openalex.org/W2025408291","https://openalex.org/W2062376596","https://openalex.org/W2118843311","https://openalex.org/W2749408143","https://openalex.org/W3149806409","https://openalex.org/W4242871999","https://openalex.org/W4245552223","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4251599125","https://openalex.org/W4253893861","https://openalex.org/W2006567194","https://openalex.org/W4379742604","https://openalex.org/W4318203606","https://openalex.org/W2147942300","https://openalex.org/W4226475863","https://openalex.org/W2047629620","https://openalex.org/W2037589633","https://openalex.org/W4245134114"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}