{"id":"https://openalex.org/W2003111480","doi":"https://doi.org/10.1007/s00211-013-0587-8","title":"Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix","display_name":"Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix","publication_year":2013,"publication_date":"2013-10-23","ids":{"openalex":"https://openalex.org/W2003111480","doi":"https://doi.org/10.1007/s00211-013-0587-8","mag":"2003111480"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-013-0587-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-013-0587-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10281/48889","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026079786","display_name":"Maria Charina","orcid":"https://orcid.org/0000-0002-4445-5141"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Maria Charina","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, TU Dortmund, 44221 , Dortmund, Germany","Fakult\u00e4t f\u00fcr Mathematik, TU Dortmund, 44221\u00a0, Dortmund, Germany","Fakult\u00e4t f\u00fcr Mathematik, TU Dortmund, Dortmund, Germany 44221#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, TU Dortmund, 44221 , Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, TU Dortmund, 44221\u00a0, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, TU Dortmund, Dortmund, Germany 44221#TAB#","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068127736","display_name":"Costanza Conti","orcid":"https://orcid.org/0000-0001-6878-7784"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Costanza Conti","raw_affiliation_strings":["Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Viale Morgagni 40/44, 50134 , Florence, Italy","Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Viale Morgagni 40/44, 50134\u00a0, Florence, Italy","Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Florence, Italy 50134#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Viale Morgagni 40/44, 50134 , Florence, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Viale Morgagni 40/44, 50134\u00a0, Florence, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale, Universit\u00e0 di Firenze, Florence, Italy 50134#TAB#","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023683197","display_name":"Lucia Romani","orcid":"https://orcid.org/0000-0002-3294-3228"},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lucia Romani","raw_affiliation_strings":["Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano-Bicocca, Via R. Cozzi 53, 20125 , Milan, Italy","Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano-Bicocca, Via R. Cozzi 53, 20125\u00a0, Milan, Italy","Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano-Bicocca, Milan, Italy 20125#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano-Bicocca, Via R. Cozzi 53, 20125 , Milan, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano-Bicocca, Via R. Cozzi 53, 20125\u00a0, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]},{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni, Universit\u00e0 di Milano-Bicocca, Milan, Italy 20125#TAB#","institution_ids":["https://openalex.org/I66752286"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026079786"],"corresponding_institution_ids":["https://openalex.org/I200332995"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":7.4078,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.97586139,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"127","issue":"2","first_page":"223","last_page":"254"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9824000000953674,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9248999953269958,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/subdivision","display_name":"Subdivision","score":0.8677750825881958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8358136415481567},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6022112369537354},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.5295321345329285},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5167790651321411},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.48381203413009644},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4565564692020416},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.43733346462249756},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42848092317581177},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4172995686531067},{"id":"https://openalex.org/keywords/integer-matrix","display_name":"Integer matrix","score":0.4136575758457184},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41075581312179565},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33066999912261963},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3224220275878906},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2383219599723816},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1659630537033081},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.1610962450504303},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1242704689502716},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09510135650634766},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08335736393928528},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.058533430099487305}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.8677750825881958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8358136415481567},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6022112369537354},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.5295321345329285},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5167790651321411},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.48381203413009644},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4565564692020416},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.43733346462249756},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42848092317581177},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4172995686531067},{"id":"https://openalex.org/C62555958","wikidata":"https://www.wikidata.org/wiki/Q6042601","display_name":"Integer matrix","level":5,"score":0.4136575758457184},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41075581312179565},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33066999912261963},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3224220275878906},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2383219599723816},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1659630537033081},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.1610962450504303},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1242704689502716},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09510135650634766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08335736393928528},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.058533430099487305},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00211-013-0587-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-013-0587-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.758.9721","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.758.9721","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1303.1678.pdf","raw_type":"text"},{"id":"pmh:oai:boa.unimib.it:10281/48889","is_oa":true,"landing_page_url":"http://hdl.handle.net/10281/48889","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cris.unibo.it:11585/646122","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/646122","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:flore.unifi.it:2158/820673","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/820673","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:boa.unimib.it:10281/48889","is_oa":true,"landing_page_url":"http://hdl.handle.net/10281/48889","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W16960563","https://openalex.org/W1138892693","https://openalex.org/W1968140922","https://openalex.org/W1969492691","https://openalex.org/W1975643422","https://openalex.org/W1976751422","https://openalex.org/W1981359007","https://openalex.org/W1984769758","https://openalex.org/W1985801984","https://openalex.org/W1987019693","https://openalex.org/W1992502090","https://openalex.org/W2003999693","https://openalex.org/W2014009653","https://openalex.org/W2025225947","https://openalex.org/W2026381294","https://openalex.org/W2031327445","https://openalex.org/W2039328459","https://openalex.org/W2043444982","https://openalex.org/W2058481730","https://openalex.org/W2062512227","https://openalex.org/W2070725987","https://openalex.org/W2077654632","https://openalex.org/W2082413624","https://openalex.org/W2084930303","https://openalex.org/W2085351012","https://openalex.org/W2086763954","https://openalex.org/W2090642340","https://openalex.org/W2099754615","https://openalex.org/W2108871697","https://openalex.org/W2117886870","https://openalex.org/W2135625970","https://openalex.org/W2140359370","https://openalex.org/W2142469265","https://openalex.org/W2157787988","https://openalex.org/W2222833901","https://openalex.org/W2341241031","https://openalex.org/W2963925461","https://openalex.org/W4297562995"],"related_works":["https://openalex.org/W2048541553","https://openalex.org/W2366105249","https://openalex.org/W1975527650","https://openalex.org/W2185598862","https://openalex.org/W2963641145","https://openalex.org/W2381311028","https://openalex.org/W4385335055","https://openalex.org/W4387316460","https://openalex.org/W3028475238","https://openalex.org/W2899406418"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}
