{"id":"https://openalex.org/W2589894755","doi":"https://doi.org/10.1007/s11075-017-0270-8","title":"An effective algorithm to compute Mandelbrot sets in parameter planes","display_name":"An effective algorithm to compute Mandelbrot sets in parameter planes","publication_year":2017,"publication_date":"2017-02-26","ids":{"openalex":"https://openalex.org/W2589894755","doi":"https://doi.org/10.1007/s11075-017-0270-8","mag":"2589894755"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-017-0270-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0270-8","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ddd.uab.cat/record/182522","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031914592","display_name":"Antonio Garijo","orcid":"https://orcid.org/0000-0002-1503-7514"},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universidad Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio Garijo","raw_affiliation_strings":["Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, 43007, Tarragona, Catalonia, Spain","Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Tarragona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, 43007, Tarragona, Catalonia, Spain","institution_ids":["https://openalex.org/I55952717"]},{"raw_affiliation_string":"Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Tarragona, Spain","institution_ids":["https://openalex.org/I55952717"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079891318","display_name":"Xavier Jarque","orcid":"https://orcid.org/0000-0002-6576-9780"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]},{"id":"https://openalex.org/I4210091183","display_name":"Barcelona Graduate School of Mathematics","ror":"https://ror.org/00d5dd272","country_code":"ES","type":"education","lineage":["https://openalex.org/I4210091183"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Xavier Jarque","raw_affiliation_strings":["Departament de Matem\u00e0tica i Inform\u00e0tica and Graduate School of Mathematics, Universitat de Barcelona, 08007, Barcelona, Catalonia, Spain","Departament de Matem\u00e0tica i Inform\u00e0tica and Graduate School of Mathematics, Universitat de Barcelona, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica i Inform\u00e0tica and Graduate School of Mathematics, Universitat de Barcelona, 08007, Barcelona, Catalonia, Spain","institution_ids":["https://openalex.org/I4210091183","https://openalex.org/I71999127"]},{"raw_affiliation_string":"Departament de Matem\u00e0tica i Inform\u00e0tica and Graduate School of Mathematics, Universitat de Barcelona, Barcelona, Spain","institution_ids":["https://openalex.org/I4210091183","https://openalex.org/I71999127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060001114","display_name":"Jordi Villadelprat","orcid":"https://orcid.org/0000-0002-1168-9750"},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universidad Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jordi Villadelprat","raw_affiliation_strings":["Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, 43007, Tarragona, Catalonia, Spain","Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Tarragona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, 43007, Tarragona, Catalonia, Spain","institution_ids":["https://openalex.org/I55952717"]},{"raw_affiliation_string":"Departament d\u2019Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Tarragona, Spain","institution_ids":["https://openalex.org/I55952717"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079891318"],"corresponding_institution_ids":["https://openalex.org/I4210091183","https://openalex.org/I71999127"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.1216,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73241061,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"76","issue":"2","first_page":"555","last_page":"571"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9052000045776367,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mandelbrot-set","display_name":"Mandelbrot set","score":0.9813224077224731},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7540758848190308},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.6932882070541382},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6485111117362976},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5784802436828613},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5336369276046753},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5090999007225037},{"id":"https://openalex.org/keywords/locus","display_name":"Locus (genetics)","score":0.4525359272956848},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43055906891822815},{"id":"https://openalex.org/keywords/julia-set","display_name":"Julia set","score":0.4261711537837982},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42093104124069214},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2452946901321411},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21625953912734985},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20646154880523682},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13151946663856506},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11645063757896423},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.07053449749946594}],"concepts":[{"id":"https://openalex.org/C97519476","wikidata":"https://www.wikidata.org/wiki/Q257","display_name":"Mandelbrot set","level":3,"score":0.9813224077224731},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7540758848190308},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.6932882070541382},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6485111117362976},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5784802436828613},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5336369276046753},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5090999007225037},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.4525359272956848},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43055906891822815},{"id":"https://openalex.org/C187619975","wikidata":"https://www.wikidata.org/wiki/Q848427","display_name":"Julia set","level":2,"score":0.4261711537837982},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42093104124069214},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2452946901321411},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21625953912734985},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20646154880523682},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13151946663856506},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11645063757896423},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.07053449749946594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11075-017-0270-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0270-8","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:recercat.cat:2072/333296","is_oa":false,"landing_page_url":"http://hdl.handle.net/2445/124910","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ddd.uab.cat:182522","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/182522","pdf_url":"https://ddd.uab.cat/record/182522","source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:dnet:uabarcelona_::8070b1763f69c6366d405841176bca78","is_oa":false,"landing_page_url":"http://ddd.uab.cat/record/182522","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ddd.uab.cat:182522","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/182522","pdf_url":"https://ddd.uab.cat/record/182522","source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2589894755.pdf","grobid_xml":"https://content.openalex.org/works/W2589894755.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W390053422","https://openalex.org/W1508920883","https://openalex.org/W1901054142","https://openalex.org/W1975380126","https://openalex.org/W2066263016","https://openalex.org/W2132557910","https://openalex.org/W2159703203","https://openalex.org/W2557859830","https://openalex.org/W4247950246","https://openalex.org/W4253111115"],"related_works":["https://openalex.org/W2372579255","https://openalex.org/W1972311046","https://openalex.org/W2169256438","https://openalex.org/W4308870400","https://openalex.org/W4382774916","https://openalex.org/W119062992","https://openalex.org/W2010397987","https://openalex.org/W4239801010","https://openalex.org/W4297947016","https://openalex.org/W4389471144"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}