{"id":"https://openalex.org/W2014077116","doi":"https://doi.org/10.1090/s0025-5718-02-01446-1","title":"Hermite interpolation of nonsmooth functions preserving boundary conditions","display_name":"Hermite interpolation of nonsmooth functions preserving boundary conditions","publication_year":2002,"publication_date":"2002-01-17","ids":{"openalex":"https://openalex.org/W2014077116","doi":"https://doi.org/10.1090/s0025-5718-02-01446-1","mag":"2014077116"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-02-01446-1","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-02-01446-1","pdf_url":"https://www.ams.org/mcom/2002-71-239/S0025-5718-02-01446-1/S0025-5718-02-01446-1.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2002-71-239/S0025-5718-02-01446-1/S0025-5718-02-01446-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026303492","display_name":"Vivette Girault","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"V. Girault","raw_affiliation_strings":["Laboratoire d\u00e2\u0080\u0099Analyse Num\u00c3\u00a9rique, Universit\u00c3\u00a9 Pierre et Marie Curie, 75252 Paris cedex 05, France","Laboratoire d'Analyse Numerique, Universite Pierre et Marie Curie, 75252 Paris Cedex 05, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u00e2\u0080\u0099Analyse Num\u00c3\u00a9rique, Universit\u00c3\u00a9 Pierre et Marie Curie, 75252 Paris cedex 05, France","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"Laboratoire d'Analyse Numerique, Universite Pierre et Marie Curie, 75252 Paris Cedex 05, France","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068215959","display_name":"L. Ridgway Scott","orcid":"https://orcid.org/0000-0002-7885-7106"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Scott","raw_affiliation_strings":["Department of Mathematics and the Computation Institute, University of Chicago, Chicago, Illinois 60637-1581"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and the Computation Institute, University of Chicago, Chicago, Illinois 60637-1581","institution_ids":["https://openalex.org/I40347166"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026303492"],"corresponding_institution_ids":["https://openalex.org/I39804081"],"apc_list":null,"apc_paid":null,"fwci":2.789,"has_fulltext":true,"cited_by_count":61,"citation_normalized_percentile":{"value":0.8921089,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"71","issue":"239","first_page":"1043","last_page":"1074"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"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/T10514","display_name":"Numerical methods in engineering","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9199920892715454},{"id":"https://openalex.org/keywords/hermite-interpolation","display_name":"Hermite interpolation","score":0.7432284355163574},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6851235628128052},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6201843023300171},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.5988843441009521},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5600709915161133},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5250154137611389},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4890500009059906},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48809918761253357},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.45618098974227905},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4282674789428711},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4113313853740692},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39062318205833435},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10323965549468994}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9199920892715454},{"id":"https://openalex.org/C186429297","wikidata":"https://www.wikidata.org/wiki/Q44451","display_name":"Hermite interpolation","level":3,"score":0.7432284355163574},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6851235628128052},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6201843023300171},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.5988843441009521},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5600709915161133},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5250154137611389},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4890500009059906},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48809918761253357},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.45618098974227905},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4282674789428711},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4113313853740692},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39062318205833435},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10323965549468994},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-02-01446-1","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-02-01446-1","pdf_url":"https://www.ams.org/mcom/2002-71-239/S0025-5718-02-01446-1/S0025-5718-02-01446-1.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.100.5581","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.100.5581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2002-71-239/S0025-5718-02-01446-1/S0025-5718-02-01446-1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.206.178","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.206.178","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/2002-71-239/S0025-5718-02-01446-1/S0025-5718-02-01446-1.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-02-01446-1","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-02-01446-1","pdf_url":"https://www.ams.org/mcom/2002-71-239/S0025-5718-02-01446-1/S0025-5718-02-01446-1.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2014077116.pdf","grobid_xml":"https://content.openalex.org/works/W2014077116.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W209576205","https://openalex.org/W318577871","https://openalex.org/W1488877410","https://openalex.org/W1492326914","https://openalex.org/W1586623601","https://openalex.org/W1589236075","https://openalex.org/W1594759473","https://openalex.org/W1604809219","https://openalex.org/W1674659126","https://openalex.org/W1990258816","https://openalex.org/W1990941154","https://openalex.org/W2009985306","https://openalex.org/W2027733726","https://openalex.org/W2041523977","https://openalex.org/W2059512870","https://openalex.org/W2199169705","https://openalex.org/W2249942971","https://openalex.org/W2467278134","https://openalex.org/W2795407492","https://openalex.org/W3091814460","https://openalex.org/W4232090350","https://openalex.org/W4242794827","https://openalex.org/W4245007249","https://openalex.org/W4252104256","https://openalex.org/W4292166829","https://openalex.org/W4292366025","https://openalex.org/W6813434568"],"related_works":["https://openalex.org/W1611524765","https://openalex.org/W2384348032","https://openalex.org/W2358067891","https://openalex.org/W4384827542","https://openalex.org/W2362691724","https://openalex.org/W2076442606","https://openalex.org/W2105326322","https://openalex.org/W1629396682","https://openalex.org/W2562925856","https://openalex.org/W2799944245"],"abstract_inverted_index":{"This":[0,82],"article":[1],"is":[2,85,109],"devoted":[3],"to":[4,111],"the":[5],"construction":[6],"of":[7,102],"a":[8,86,113],"Hermite-type":[9],"regularization":[10,83],"operator":[11,84],"transforming":[12],"functions":[13,77],"that":[14,78],"are":[15,79],"not":[16],"necessarily":[17],"<inline-formula":[18,48],"content-type=\"math/mathml\">":[19,49],"<mml:math":[20,50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[21,51],"alttext=\"script":[22,52],"upper":[23,53],"C":[24,54],"Superscript":[25,55],"1\">":[26,56],"<mml:semantics>":[27,57],"<mml:msup>":[28,58],"<mml:mrow":[29,31,59,61],"class=\"MJX-TeXAtom-ORD\">":[30,32,60,62],"<mml:mi":[33,63],"class=\"MJX-tex-caligraphic\"":[34,64],"mathvariant=\"script\">C</mml:mi>":[35,65],"</mml:mrow>":[36,37,66,67],"<mml:mn>1</mml:mn>":[38,68],"</mml:msup>":[39,69],"<mml:annotation":[40,70],"encoding=\"application/x-tex\">{\\mathcal":[41,71],"C}^1</mml:annotation>":[42,72],"</mml:semantics>":[43,73],"</mml:math>":[44,74],"</inline-formula>":[45,75],"into":[46],"globally":[47],"finite-element":[76],"piecewise":[80],"polynomials.":[81],"projection,":[87],"it":[88,98,108],"preserves":[89],"appropriate":[90],"first":[91],"and":[92,97],"second":[93],"order":[94],"polynomial":[95],"traces,":[96],"has":[99],"approximation":[100],"properties":[101],"optimal":[103],"order.":[104],"As":[105],"an":[106],"illustration,":[107],"used":[110],"discretize":[112],"nonhomogeneous":[114],"Navier-Stokes":[115],"problem,":[116],"with":[117],"tangential":[118],"boundary":[119],"condition.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-21T06:05:55.347736","created_date":"2025-10-10T00:00:00"}