{"id":"https://openalex.org/W2120281172","doi":"https://doi.org/10.1080/00207160108805131","title":"Generalized taylor splines","display_name":"Generalized taylor splines","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2120281172","doi":"https://doi.org/10.1080/00207160108805131","mag":"2120281172"},"language":"en","primary_location":{"id":"doi:10.1080/00207160108805131","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160108805131","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5046053818","display_name":"Marcelo Reggio","orcid":null},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Marcelo Reggio","raw_affiliation_strings":["Centre de Recherche en Calcul Appliqu\u00e9 (CERCA) ;     Department of Mechanical Engineering  , \u00c9cole Polytechnique de Montr\u00e9al","Department of Mechanical Engineering  , \u00c9cole Polytechnique de Montr\u00e9al","Centre de Recherche en Calcul Appliqu\u00e9 (CERCA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Calcul Appliqu\u00e9 (CERCA) ;     Department of Mechanical Engineering  , \u00c9cole Polytechnique de Montr\u00e9al","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Department of Mechanical Engineering  , \u00c9cole Polytechnique de Montr\u00e9al","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Centre de Recherche en Calcul Appliqu\u00e9 (CERCA)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087529119","display_name":"Dominique Godin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dominique Godin","raw_affiliation_strings":["Centre de Recherche en Calcul Appliqu\u00e9 (CERCA)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Recherche en Calcul Appliqu\u00e9 (CERCA)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18176723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"78","issue":"4","first_page":"551","last_page":"568"},"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.984499990940094,"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9538999795913696,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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":0.8385387063026428},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.7916566133499146},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.7534923553466797},{"id":"https://openalex.org/keywords/box-spline","display_name":"Box spline","score":0.6947475671768188},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6193934679031372},{"id":"https://openalex.org/keywords/quintic-function","display_name":"Quintic function","score":0.6136689186096191},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5880595445632935},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.5000600814819336},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.4836907982826233},{"id":"https://openalex.org/keywords/hermite-spline","display_name":"Hermite spline","score":0.46290478110313416},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4304075539112091},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40232905745506287},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.379222571849823},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16683971881866455}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8385387063026428},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.7916566133499146},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.7534923553466797},{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.6947475671768188},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6193934679031372},{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.6136689186096191},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5880595445632935},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.5000600814819336},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.4836907982826233},{"id":"https://openalex.org/C186763157","wikidata":"https://www.wikidata.org/wiki/Q5741918","display_name":"Hermite spline","level":5,"score":0.46290478110313416},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4304075539112091},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40232905745506287},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.379222571849823},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16683971881866455},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207160108805131","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160108805131","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:27104","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/27104/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"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":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320315803","display_name":"Centres de Recerca de Catalunya","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1480101757","https://openalex.org/W1967478683","https://openalex.org/W2017048780","https://openalex.org/W2090344516","https://openalex.org/W2162660532","https://openalex.org/W2162870748","https://openalex.org/W2182274314","https://openalex.org/W2567032824","https://openalex.org/W2898916015","https://openalex.org/W3021591933","https://openalex.org/W4256405312"],"related_works":["https://openalex.org/W3023917504","https://openalex.org/W2016908137","https://openalex.org/W1975728046","https://openalex.org/W4205393503","https://openalex.org/W2964021668","https://openalex.org/W1968191315","https://openalex.org/W4383745289","https://openalex.org/W2033831925","https://openalex.org/W4299704169","https://openalex.org/W2741608222"],"abstract_inverted_index":{"A":[0],"generalization":[1],"of":[2,12,14,26,39],"polynomial":[3],"spline":[4],"theory":[5],"is":[6,19,33],"presented":[7],"which":[8],"allows":[9],"the":[10,27,36,40,53],"construction":[11],"splines":[13,41,58],"any":[15],"order.":[16],"The":[17,43],"kernel":[18],"based":[20],"on":[21],"a":[22],"Taylor":[23],"series":[24],"expansion":[25],"governing":[28],"equations":[29],"and":[30,48,56,59],"Gaussian":[31],"elimination":[32],"used":[34],"for":[35,52,61],"numerical":[37],"calculation":[38],"coefficients.":[42],"general":[44],"steps":[45],"are":[46,50],"described":[47],"tests":[49],"performed":[51],"classical":[54],"cubic":[55],"quintic":[57],"also":[60],"an":[62],"unorthodox":[63],"25th":[64],"order":[65],"spline.":[66]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}