{"id":"https://openalex.org/W2104896514","doi":"https://doi.org/10.1007/s10444-010-9150-7","title":"Convergence and smoothness analysis of subdivision rules in Riemannian and symmetric spaces","display_name":"Convergence and smoothness analysis of subdivision rules in Riemannian and symmetric spaces","publication_year":2010,"publication_date":"2010-05-31","ids":{"openalex":"https://openalex.org/W2104896514","doi":"https://doi.org/10.1007/s10444-010-9150-7","mag":"2104896514"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-010-9150-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-010-9150-7","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","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/A5059688960","display_name":"Johannes Wallner","orcid":"https://orcid.org/0000-0002-3051-1966"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Johannes Wallner","raw_affiliation_strings":["Institut f\u00fcr Geometrie, Technische Universit\u00e4t Graz, Kopernikusgasse 24, 8010, Graz, Austria","Institut f\u00fcr Geometrie, Technische Universit\u00e4t Graz, Graz, Austria 8010#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Geometrie, Technische Universit\u00e4t Graz, Kopernikusgasse 24, 8010, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"Institut f\u00fcr Geometrie, Technische Universit\u00e4t Graz, Graz, Austria 8010#TAB#","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048951042","display_name":"Esfandiar Nava-Yazdani","orcid":"https://orcid.org/0000-0003-4895-739X"},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Esfandiar Nava Yazdani","raw_affiliation_strings":["Drexel University, Philadelphia, PA, USA","Drexel University, Philadelphia USA"],"affiliations":[{"raw_affiliation_string":"Drexel University, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I72816309"]},{"raw_affiliation_string":"Drexel University, Philadelphia USA","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037919645","display_name":"Andreas Weinmann","orcid":"https://orcid.org/0000-0002-4969-7609"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Andreas Weinmann","raw_affiliation_strings":["Institut f\u00fcr Geometrie, Technische Universit\u00e4t Graz, Kopernikusgasse 24, 8010, Graz, Austria","Institut f\u00fcr Geometrie, Technische Universit\u00e4t Graz, Graz, Austria 8010#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Geometrie, Technische Universit\u00e4t Graz, Kopernikusgasse 24, 8010, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"Institut f\u00fcr Geometrie, Technische Universit\u00e4t Graz, Graz, Austria 8010#TAB#","institution_ids":["https://openalex.org/I4092182"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059688960"],"corresponding_institution_ids":["https://openalex.org/I4092182"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.768,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.90616293,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"2","first_page":"201","last_page":"218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.925061047077179},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7610799074172974},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6299144625663757},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5377021431922913},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5266206860542297},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5178061723709106},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5167497992515564},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.46731966733932495},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27166077494621277}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.925061047077179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7610799074172974},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6299144625663757},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5377021431922913},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5266206860542297},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5178061723709106},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5167497992515564},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.46731966733932495},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27166077494621277},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-010-9150-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-010-9150-7","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W10118043","https://openalex.org/W243180070","https://openalex.org/W279788291","https://openalex.org/W1972363811","https://openalex.org/W1983894121","https://openalex.org/W2030136249","https://openalex.org/W2032236594","https://openalex.org/W2034940548","https://openalex.org/W2036881824","https://openalex.org/W2037613906","https://openalex.org/W2040125300","https://openalex.org/W2064445894","https://openalex.org/W2089465567","https://openalex.org/W2096610373","https://openalex.org/W2109409043","https://openalex.org/W2144808524","https://openalex.org/W2169458238","https://openalex.org/W2223353064","https://openalex.org/W4212889321"],"related_works":["https://openalex.org/W2384806462","https://openalex.org/W2375549870","https://openalex.org/W4376632515","https://openalex.org/W2163269603","https://openalex.org/W1994442929","https://openalex.org/W2791987989","https://openalex.org/W1819043602","https://openalex.org/W2952407034","https://openalex.org/W2292573552","https://openalex.org/W1594983677"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}