{"id":"https://openalex.org/W2588664555","doi":"https://doi.org/10.1007/s11075-017-0276-2","title":"Recursive polynomial interpolation algorithm (RPIA)","display_name":"Recursive polynomial interpolation algorithm (RPIA)","publication_year":2017,"publication_date":"2017-02-17","ids":{"openalex":"https://openalex.org/W2588664555","doi":"https://doi.org/10.1007/s11075-017-0276-2","mag":"2588664555"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-017-0276-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0276-2","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5110931138","display_name":"Abderrahim Messaoudi","orcid":null},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Abderrahim Messaoudi","raw_affiliation_strings":["Ecole Normale Sup\u00e9rieure, Mohammed V University in Rabat, Av. Mohammed Belhassan El Ouazzan, B.P. 5118, Takaddoum, Rabat, Morocco"],"affiliations":[{"raw_affiliation_string":"Ecole Normale Sup\u00e9rieure, Mohammed V University in Rabat, Av. Mohammed Belhassan El Ouazzan, B.P. 5118, Takaddoum, Rabat, Morocco","institution_ids":["https://openalex.org/I126477371"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053129551","display_name":"H. Sadok","orcid":"https://orcid.org/0000-0002-5701-4548"},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Hassane Sadok","raw_affiliation_strings":["L.M.P.A, Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, 50 rue F. Buisson BP 699, 62228, Calais Cedex, France","L.M.P.A, Universit\u00e9 du Littoral C\u00f4te d'Opale, 50 rue F. Buisson BP 699, 62228, Calais Cedex, France"],"affiliations":[{"raw_affiliation_string":"L.M.P.A, Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, 50 rue F. Buisson BP 699, 62228, Calais Cedex, France","institution_ids":["https://openalex.org/I2802487185"]},{"raw_affiliation_string":"L.M.P.A, Universit\u00e9 du Littoral C\u00f4te d'Opale, 50 rue F. Buisson BP 699, 62228, Calais Cedex, France","institution_ids":["https://openalex.org/I2802487185"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053129551"],"corresponding_institution_ids":["https://openalex.org/I2802487185"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.414,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.8262757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"76","issue":"3","first_page":"675","last_page":"694"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9958000183105469,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9958000183105469,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9940999746322632,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7920345067977905},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.7241437435150146},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.7230520844459534},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.7075229287147522},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6808980703353882},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5738423466682434},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5141756534576416},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49123018980026245},{"id":"https://openalex.org/keywords/trigonometric-interpolation","display_name":"Trigonometric interpolation","score":0.4855029582977295},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42959481477737427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4066617786884308},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3981662392616272},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.36546552181243896},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14566102623939514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08092764019966125}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7920345067977905},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.7241437435150146},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.7230520844459534},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.7075229287147522},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6808980703353882},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5738423466682434},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5141756534576416},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49123018980026245},{"id":"https://openalex.org/C28537468","wikidata":"https://www.wikidata.org/wiki/Q464356","display_name":"Trigonometric interpolation","level":5,"score":0.4855029582977295},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42959481477737427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4066617786884308},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3981662392616272},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.36546552181243896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14566102623939514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08092764019966125},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-017-0276-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-017-0276-2","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W280536263","https://openalex.org/W1576783654","https://openalex.org/W1593505867","https://openalex.org/W2009165713","https://openalex.org/W2026742541","https://openalex.org/W2036370633","https://openalex.org/W2040105857","https://openalex.org/W2066084782","https://openalex.org/W2074771309","https://openalex.org/W2082865473","https://openalex.org/W2250365570","https://openalex.org/W2485166813","https://openalex.org/W4206096510","https://openalex.org/W4250038851"],"related_works":["https://openalex.org/W2354378723","https://openalex.org/W2488705107","https://openalex.org/W4386512906","https://openalex.org/W2371738094","https://openalex.org/W2323042738","https://openalex.org/W2095590199","https://openalex.org/W2536408477","https://openalex.org/W4200281652","https://openalex.org/W1965166561","https://openalex.org/W2351859300"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}