{"id":"https://openalex.org/W2340560612","doi":"https://doi.org/10.1007/s00211-016-0796-z","title":"Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness","display_name":"Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness","publication_year":2016,"publication_date":"2016-02-22","ids":{"openalex":"https://openalex.org/W2340560612","doi":"https://doi.org/10.1007/s00211-016-0796-z","mag":"2340560612"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-016-0796-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0796-z","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/2318/1621468","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071616718","display_name":"Fabio Roman","orcid":"https://orcid.org/0000-0002-6021-0275"},"institutions":[{"id":"https://openalex.org/I1330701686","display_name":"Collegio Carlo Alberto","ror":"https://ror.org/0397knh37","country_code":"IT","type":"education","lineage":["https://openalex.org/I1330701686"]},{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabio Roman","raw_affiliation_strings":["Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123, Turin, Italy","institution_ids":["https://openalex.org/I1330701686","https://openalex.org/I55143463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002153708","display_name":"Carla Manni","orcid":"https://orcid.org/0000-0002-1519-4106"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Carla Manni","raw_affiliation_strings":["Department of Mathematics, University of Rome \u2018Tor Vergata\u2019, Via della Ricerca Scientifica, 00133, Rome, Italy","Department of Mathematics, University of Rome 'Tor Vergata', Via della Ricerca Scientifica, 00133, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rome \u2018Tor Vergata\u2019, Via della Ricerca Scientifica, 00133, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Department of Mathematics, University of Rome 'Tor Vergata', Via della Ricerca Scientifica, 00133, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010023775","display_name":"Hendrik Speleers","orcid":"https://orcid.org/0000-0003-4110-3308"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Hendrik Speleers","raw_affiliation_strings":["Department of Mathematics, University of Rome \u2018Tor Vergata\u2019, Via della Ricerca Scientifica, 00133, Rome, Italy","Department of Mathematics, University of Rome 'Tor Vergata', Via della Ricerca Scientifica, 00133, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rome \u2018Tor Vergata\u2019, Via della Ricerca Scientifica, 00133, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Department of Mathematics, University of Rome 'Tor Vergata', Via della Ricerca Scientifica, 00133, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010023775"],"corresponding_institution_ids":["https://openalex.org/I116067653"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.7791,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88902567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"135","issue":"1","first_page":"169","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.982200026512146,"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":0.906444251537323},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.629085898399353},{"id":"https://openalex.org/keywords/trigonometric-substitution","display_name":"Trigonometric substitution","score":0.5750693082809448},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5716715455055237},{"id":"https://openalex.org/keywords/trigonometric-polynomial","display_name":"Trigonometric polynomial","score":0.5562491416931152},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5348811149597168},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5258505940437317},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.45905885100364685},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.439414918422699},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.43807727098464966},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.422904908657074},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.37728971242904663},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.17300981283187866}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.906444251537323},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.629085898399353},{"id":"https://openalex.org/C9317044","wikidata":"https://www.wikidata.org/wiki/Q1191963","display_name":"Trigonometric substitution","level":5,"score":0.5750693082809448},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5716715455055237},{"id":"https://openalex.org/C156760230","wikidata":"https://www.wikidata.org/wiki/Q1969650","display_name":"Trigonometric polynomial","level":3,"score":0.5562491416931152},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5348811149597168},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5258505940437317},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.45905885100364685},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.439414918422699},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.43807727098464966},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.422904908657074},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.37728971242904663},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.17300981283187866},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C49608258","wikidata":"https://www.wikidata.org/wiki/Q611705","display_name":"Bicubic interpolation","level":4,"score":0.0},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-016-0796-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-016-0796-z","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:art.torvergata.it:2108/203651","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/203651","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"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:iris.unito.it:2318/1621468","is_oa":true,"landing_page_url":"http://hdl.handle.net/2318/1621468","pdf_url":null,"source":{"id":"https://openalex.org/S4306400637","display_name":"Institutional Research Information System University of Turin (University of Turin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I55143463","host_organization_name":"University of Turin","host_organization_lineage":["https://openalex.org/I55143463"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unito.it:2318/1621468","is_oa":true,"landing_page_url":"http://hdl.handle.net/2318/1621468","pdf_url":null,"source":{"id":"https://openalex.org/S4306400637","display_name":"Institutional Research Information System University of Turin (University of Turin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I55143463","host_organization_name":"University of Turin","host_organization_lineage":["https://openalex.org/I55143463"],"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":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W642107583","https://openalex.org/W1489213177","https://openalex.org/W1933292915","https://openalex.org/W1967593001","https://openalex.org/W1975153608","https://openalex.org/W1980058119","https://openalex.org/W1992946242","https://openalex.org/W1999886256","https://openalex.org/W2000425991","https://openalex.org/W2008868564","https://openalex.org/W2014870838","https://openalex.org/W2017552381","https://openalex.org/W2018215637","https://openalex.org/W2019204386","https://openalex.org/W2034069594","https://openalex.org/W2043348215","https://openalex.org/W2045116795","https://openalex.org/W2045463928","https://openalex.org/W2046168943","https://openalex.org/W2060259097","https://openalex.org/W2066564452","https://openalex.org/W2081004170","https://openalex.org/W2084363278","https://openalex.org/W2086602363","https://openalex.org/W2089598668","https://openalex.org/W2101402782","https://openalex.org/W2108406576","https://openalex.org/W2136738312","https://openalex.org/W2150695150","https://openalex.org/W2153058280","https://openalex.org/W2162996630","https://openalex.org/W2521842478","https://openalex.org/W4231333873","https://openalex.org/W4237380063","https://openalex.org/W4237713727","https://openalex.org/W4256555983","https://openalex.org/W4388534025"],"related_works":["https://openalex.org/W3022244109","https://openalex.org/W2256466038","https://openalex.org/W4327753933","https://openalex.org/W3087838095","https://openalex.org/W2379230909","https://openalex.org/W2599606269","https://openalex.org/W92646997","https://openalex.org/W1978234017","https://openalex.org/W2044460068","https://openalex.org/W2022374101"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}