{"id":"https://openalex.org/W3159276208","doi":"https://doi.org/10.1007/s11075-021-01109-6","title":"Taylor type and Hermite type interpolants in $\\mathbb {R}^{n}$","display_name":"Taylor type and Hermite type interpolants in $\\mathbb {R}^{n}$","publication_year":2021,"publication_date":"2021-04-26","ids":{"openalex":"https://openalex.org/W3159276208","doi":"https://doi.org/10.1007/s11075-021-01109-6","mag":"3159276208"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-021-01109-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01109-6","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/A5081048168","display_name":"Phung Van Manh","orcid":null},"institutions":[{"id":"https://openalex.org/I135822937","display_name":"Hanoi National University of Education","ror":"https://ror.org/0360g3z42","country_code":"VN","type":"education","lineage":["https://openalex.org/I135822937"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Phung Van Manh","raw_affiliation_strings":["Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay, Hanoi, Vietnam","institution_ids":["https://openalex.org/I135822937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059517766","display_name":"Nguyen Van Trao","orcid":null},"institutions":[{"id":"https://openalex.org/I135822937","display_name":"Hanoi National University of Education","ror":"https://ror.org/0360g3z42","country_code":"VN","type":"education","lineage":["https://openalex.org/I135822937"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Van Trao","raw_affiliation_strings":["Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay, Hanoi, Vietnam","institution_ids":["https://openalex.org/I135822937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109631633","display_name":"Phan Thanh Tung","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109591","display_name":"Thuongmai University","ror":"https://ror.org/021s58p89","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210109591"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Phan Thanh Tung","raw_affiliation_strings":["Department of Mathematics, Thuongmai University, 79 Ho Tung Mau Street, Cau Giay, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Thuongmai University, 79 Ho Tung Mau Street, Cau Giay, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210109591"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032001437","display_name":"Le Ngoc Cuong","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109591","display_name":"Thuongmai University","ror":"https://ror.org/021s58p89","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210109591"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Le Ngoc Cuong","raw_affiliation_strings":["Department of Mathematics, Thuongmai University, 79 Ho Tung Mau Street, Cau Giay, Hanoi, Vietnam"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Thuongmai University, 79 Ho Tung Mau Street, Cau Giay, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4210109591"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081048168"],"corresponding_institution_ids":["https://openalex.org/I135822937"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3545,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.53137632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"89","issue":"1","first_page":"145","last_page":"166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.994700014591217,"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":0.994700014591217,"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":0.9897000193595886,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.8498255610466003},{"id":"https://openalex.org/keywords/hermite-interpolation","display_name":"Hermite interpolation","score":0.7680962085723877},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.7300916314125061},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7104588150978088},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.7053069472312927},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.6565759181976318},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5544730424880981},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5006904602050781},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.4936331510543823},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45050835609436035},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4372156262397766},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4239058494567871},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39893639087677},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35709601640701294},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33627593517303467},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.26522278785705566},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20817390084266663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05910024046897888},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.05217599868774414}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8498255610466003},{"id":"https://openalex.org/C186429297","wikidata":"https://www.wikidata.org/wiki/Q44451","display_name":"Hermite interpolation","level":3,"score":0.7680962085723877},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.7300916314125061},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7104588150978088},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.7053069472312927},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.6565759181976318},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5544730424880981},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5006904602050781},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.4936331510543823},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45050835609436035},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4372156262397766},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4239058494567871},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39893639087677},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35709601640701294},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33627593517303467},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.26522278785705566},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20817390084266663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05910024046897888},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.05217599868774414},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-021-01109-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01109-6","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":[{"id":"https://openalex.org/G6370005924","display_name":null,"funder_award_id":"B2021-SPH-16","funder_id":"https://openalex.org/F4320323346","funder_display_name":"B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u00d0\u00e0o t\u1ea1o"}],"funders":[{"id":"https://openalex.org/F4320323346","display_name":"B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u00d0\u00e0o t\u1ea1o","ror":"https://ror.org/00drv3378"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1795535613","https://openalex.org/W1973145128","https://openalex.org/W1999632616","https://openalex.org/W2000210554","https://openalex.org/W2038773382","https://openalex.org/W2066086134","https://openalex.org/W2069931243","https://openalex.org/W2094567672","https://openalex.org/W2586096767","https://openalex.org/W2611091766","https://openalex.org/W2763237657","https://openalex.org/W3007722120","https://openalex.org/W3026431457","https://openalex.org/W4242891646","https://openalex.org/W4298255388"],"related_works":["https://openalex.org/W2352471230","https://openalex.org/W2133632514","https://openalex.org/W2375185165","https://openalex.org/W2094567672","https://openalex.org/W2351680051","https://openalex.org/W2091727476","https://openalex.org/W1965166561","https://openalex.org/W3126863992","https://openalex.org/W2377055337","https://openalex.org/W2799944245"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}