{"id":"https://openalex.org/W2015358620","doi":"https://doi.org/10.1137/s0036142999355696","title":"Best Near-Interpolation by Curves: Existence","display_name":"Best Near-Interpolation by Curves: Existence","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2015358620","doi":"https://doi.org/10.1137/s0036142999355696","mag":"2015358620"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142999355696","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142999355696","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5072308743","display_name":"Scott N. Kersey","orcid":"https://orcid.org/0000-0002-6377-1967"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Scott Kersey","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072308743"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0723,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75392021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"38","issue":"5","first_page":"1666","last_page":"1675"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9887999892234802,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9842000007629395,"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":0.8112561106681824},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7503294944763184},{"id":"https://openalex.org/keywords/hermite-interpolation","display_name":"Hermite interpolation","score":0.5812020897865295},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.51246577501297},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.46907278895378113},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.46067437529563904},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4583659768104553},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.3626731038093567},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35430872440338135},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.31835538148880005},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.09139403700828552},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0834243893623352},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07390192151069641}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8112561106681824},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7503294944763184},{"id":"https://openalex.org/C186429297","wikidata":"https://www.wikidata.org/wiki/Q44451","display_name":"Hermite interpolation","level":3,"score":0.5812020897865295},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.51246577501297},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.46907278895378113},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.46067437529563904},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4583659768104553},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.3626731038093567},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35430872440338135},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.31835538148880005},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.09139403700828552},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0834243893623352},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07390192151069641},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142999355696","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142999355696","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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":4,"referenced_works":["https://openalex.org/W1503042153","https://openalex.org/W2023143252","https://openalex.org/W2034654757","https://openalex.org/W2145317936"],"related_works":["https://openalex.org/W1611524765","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","https://openalex.org/W60612525"],"abstract_inverted_index":{"The":[0,74,105],"conditions":[1],"derived":[2],"in":[3,51],"[K.":[4],"Scherer":[5],"and":[6,92],"P.":[7],"W.":[8],"Smith,":[9],"SIAM":[10],"J.":[11],"Numer.":[12],"Anal.,":[13],"20":[14],"(1989),":[15],"pp.":[16],"160--168]":[17],"for":[18,64],"the":[19,24,35,65,82,87,90,93,114],"existence":[20],"of":[21,27,37,69,116],"minimizers":[22,75],"to":[23,34,103,109],"nonlinear":[25],"problem":[26,36],"best":[28,38],"\"interpolation\"":[29],"by":[30,40,56],"curves":[31,41,78,88],"are":[32,76],"extended":[33],"\"near-interpolation\"":[39],"that":[42],"meet":[43,89],"arbitrary":[44],"sets,":[45,91],"such":[46],"as":[47,96],"closed":[48],"balls":[49],"(as":[50],"[S.":[52],"Kersey,":[53],"Best":[54],"Near-Interpolation":[55],"Curves:":[57],"Optimality":[58],"Conditions,":[59],"Technical":[60],"Report":[61],"99-05,":[62],"Center":[63],"Mathematical":[66],"Sciences,":[67],"University":[68],"Wisconsin,":[70],"Madison,":[71],"WI,":[72],"1999]).":[73],"spline":[77],"with":[79,113],"breakpoints":[80],"at":[81,85],"data":[83,98,118],"sites":[84,99],"which":[86],"nonlinearities":[94],"arise":[95],"these":[97],"vary":[100],"from":[101],"curve":[102],"curve.":[104],"results":[106],"here":[107],"apply":[108],"Hermite-type":[110],"interpolation":[111],"conditions,":[112],"possibility":[115],"repeated":[117],"sites.":[119]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
