{"id":"https://openalex.org/W1973093291","doi":"https://doi.org/10.1007/s10444-005-7476-3","title":"On polynomial symbols for subdivision schemes","display_name":"On polynomial symbols for subdivision schemes","publication_year":2005,"publication_date":"2005-12-04","ids":{"openalex":"https://openalex.org/W1973093291","doi":"https://doi.org/10.1007/s10444-005-7476-3","mag":"1973093291"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-005-7476-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-005-7476-3","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":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/da/publications/61e23970-9efa-11db-8ed6-000ea68e967b","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031288563","display_name":"Morten Nielsen","orcid":"https://orcid.org/0000-0002-9078-0594"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Morten Nielsen","raw_affiliation_strings":["Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220, Aalborg East, Denmark","[Aalborg university]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220, Aalborg East, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"[Aalborg university]","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031288563"],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10687927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"27","issue":"2","first_page":"195","last_page":"209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9901999831199646,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/mathematics","display_name":"Mathematics","score":0.8543027639389038},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.7802977561950684},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5739879012107849},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.460452139377594},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.4542180001735687},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3399868607521057},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3391871452331543},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3232229948043823},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3139168322086334}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8543027639389038},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.7802977561950684},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5739879012107849},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.460452139377594},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.4542180001735687},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3399868607521057},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3391871452331543},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3232229948043823},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3139168322086334},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10444-005-7476-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-005-7476-3","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.93.932","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.93.932","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.aau.dk/research/reports/R-2004-24.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire/61e23970-9efa-11db-8ed6-000ea68e967b","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/61e23970-9efa-11db-8ed6-000ea68e967b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"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":"Nielsen, M 2004, On polynomial symbols for subdivision schemes. Research Report Series, no. R-2004-24, Department of Mathematical Sciences, Aalborg University, Aalborg.","raw_type":"book"},{"id":"pmh:oai:pure.atira.dk:publications/332f7050-4f05-11dc-a457-000ea68e967b","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/332f7050-4f05-11dc-a457-000ea68e967b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nielsen , M 2007 , ' On polynomial symbols for subdivision schemes ' , Advances in Computational Mathematics , vol. 27 , no. 2 , pp. 195-209 . https://doi.org/10.1007/s10444-005-7476-3","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/61e23970-9efa-11db-8ed6-000ea68e967b","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/61e23970-9efa-11db-8ed6-000ea68e967b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"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":"Nielsen, M 2004, On polynomial symbols for subdivision schemes. Research Report Series, no. R-2004-24, Department of Mathematical Sciences, Aalborg University, Aalborg.","raw_type":"book"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W146269660","https://openalex.org/W1497633190","https://openalex.org/W1966975678","https://openalex.org/W1970352604","https://openalex.org/W1973858921","https://openalex.org/W1978434217","https://openalex.org/W1979828043","https://openalex.org/W1981208001","https://openalex.org/W1991016674","https://openalex.org/W2004766860","https://openalex.org/W2027334342","https://openalex.org/W2043513050","https://openalex.org/W2051121810","https://openalex.org/W2051656206","https://openalex.org/W2062024414","https://openalex.org/W2070471559","https://openalex.org/W2072307436","https://openalex.org/W2076044146","https://openalex.org/W2090055402","https://openalex.org/W2090648515","https://openalex.org/W2091540282","https://openalex.org/W2115337995","https://openalex.org/W2143454653","https://openalex.org/W2144629872","https://openalex.org/W2146846625","https://openalex.org/W2154380723","https://openalex.org/W2157565801","https://openalex.org/W2341241031","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2384806462","https://openalex.org/W4389950792","https://openalex.org/W2375549870","https://openalex.org/W4376632515","https://openalex.org/W2163269603","https://openalex.org/W4205312897","https://openalex.org/W1106115901","https://openalex.org/W2140072033","https://openalex.org/W2055560755","https://openalex.org/W2386836336"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}