{"id":"https://openalex.org/W2055500400","doi":"https://doi.org/10.1155/2014/872637","title":"Local Control of the Curves Using Rational Cubic Spline","display_name":"Local Control of the Curves Using Rational Cubic Spline","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2055500400","doi":"https://doi.org/10.1155/2014/872637","mag":"2055500400"},"language":"en","primary_location":{"id":"doi:10.1155/2014/872637","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/872637","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/872637.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/872637.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079171037","display_name":"Samsul Ariffin Abdul Karim","orcid":"https://orcid.org/0000-0001-6518-6705"},"institutions":[{"id":"https://openalex.org/I203899302","display_name":"Universiti Teknologi Petronas","ror":"https://ror.org/048g2sh07","country_code":"MY","type":"education","lineage":["https://openalex.org/I203899302"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Samsul Ariffin Abdul Karim","raw_affiliation_strings":["Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 31750 Tronoh, Perak Darul Ridzuan, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 31750 Tronoh, Perak Darul Ridzuan, Malaysia","institution_ids":["https://openalex.org/I203899302"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066504071","display_name":"Kong Voon Pang","orcid":"https://orcid.org/0000-0001-9160-1845"},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Kong Voon Pang","raw_affiliation_strings":["School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Minden, Penang, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Minden, Penang, Malaysia","institution_ids":["https://openalex.org/I139322472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079171037"],"corresponding_institution_ids":["https://openalex.org/I203899302"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":1.1398,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76702628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.998199999332428,"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":0.998199999332428,"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":0.9914000034332275,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.987500011920929,"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/inflection-point","display_name":"Inflection point","score":0.7815834283828735},{"id":"https://openalex.org/keywords/monotone-cubic-interpolation","display_name":"Monotone cubic interpolation","score":0.6325293183326721},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5944914817810059},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5758046507835388},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5494876503944397},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.49313992261886597},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.48597443103790283},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.48440033197402954},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4639453887939453},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46292755007743835},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.4520612955093384},{"id":"https://openalex.org/keywords/control-point","display_name":"Control point","score":0.4420831799507141},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3998104929924011},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3393769860267639},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24606281518936157},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18753227591514587},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12049207091331482},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06955602765083313}],"concepts":[{"id":"https://openalex.org/C74545648","wikidata":"https://www.wikidata.org/wiki/Q212794","display_name":"Inflection point","level":2,"score":0.7815834283828735},{"id":"https://openalex.org/C64485984","wikidata":"https://www.wikidata.org/wiki/Q4044484","display_name":"Monotone cubic interpolation","level":5,"score":0.6325293183326721},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5944914817810059},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5758046507835388},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5494876503944397},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.49313992261886597},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.48597443103790283},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.48440033197402954},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4639453887939453},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46292755007743835},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.4520612955093384},{"id":"https://openalex.org/C2777774050","wikidata":"https://www.wikidata.org/wiki/Q16945110","display_name":"Control point","level":2,"score":0.4420831799507141},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3998104929924011},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3393769860267639},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24606281518936157},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18753227591514587},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12049207091331482},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06955602765083313},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C188325010","wikidata":"https://www.wikidata.org/wiki/Q861176","display_name":"Trilinear interpolation","level":4,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/872637","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/872637","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/872637.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305569","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305569","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:872637","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/872637.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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"},{"id":"pmh:oai:doaj.org/article:eb012f026aed45448976d29d3d7fe493","is_oa":true,"landing_page_url":"https://doaj.org/article/eb012f026aed45448976d29d3d7fe493","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/872637","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/872637","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/872637.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7482514536","display_name":null,"funder_award_id":"35/2012","funder_id":"https://openalex.org/F4320323380","funder_display_name":"Universiti Teknologi Petronas"}],"funders":[{"id":"https://openalex.org/F4320322528","display_name":"Sexually Transmitted Infection Research Foundation","ror":"https://ror.org/03hw5nc12"},{"id":"https://openalex.org/F4320323380","display_name":"Universiti Teknologi Petronas","ror":"https://ror.org/048g2sh07"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2055500400.pdf","grobid_xml":"https://content.openalex.org/works/W2055500400.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1963878392","https://openalex.org/W1967143680","https://openalex.org/W1971977163","https://openalex.org/W1983609905","https://openalex.org/W1993857116","https://openalex.org/W1994451508","https://openalex.org/W2001707293","https://openalex.org/W2003755366","https://openalex.org/W2006922601","https://openalex.org/W2010172169","https://openalex.org/W2041791633","https://openalex.org/W2045919365","https://openalex.org/W2060606150","https://openalex.org/W2065362266","https://openalex.org/W2066748351","https://openalex.org/W2085569878","https://openalex.org/W2094529927","https://openalex.org/W2096045964","https://openalex.org/W2136749463","https://openalex.org/W2152180245","https://openalex.org/W2186892105","https://openalex.org/W2518439690","https://openalex.org/W4253941562","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2380799314","https://openalex.org/W2117487173","https://openalex.org/W2154654948","https://openalex.org/W1980922465","https://openalex.org/W4250117113","https://openalex.org/W4361795749","https://openalex.org/W1544820706","https://openalex.org/W2399408157","https://openalex.org/W2106020793","https://openalex.org/W2510730013"],"abstract_inverted_index":{"This":[0],"paper":[1],"discussed":[2,45],"the":[3,21,33,41,62,76,79,84,92,98,107],"local":[4],"control":[5,56],"of":[6,32,40,78],"interpolating":[7],"function":[8],"by":[9,20,60],"using":[10,61],"rational":[11,24,34,42,64],"cubic":[12,35,65],"spline":[13,25,66],"(cubic/quadratic)":[14],"with":[15,83,106],"three":[16],"parameters":[17],"originally":[18],"proposed":[19,63],"authors.":[22],"The":[23,29,48],"has":[26],"C1":[27],"continuity.":[28],"bounded":[30],"properties":[31],"interpolants":[36,43],"and":[37,54,102],"shape":[38],"controls":[39],"are":[44,67,72,87],"in":[46],"detail.":[47],"value":[49],"control,":[50,53],"inflection":[51],"point":[52,59],"convexity":[55],"at":[57],"a":[58],"constructed.":[68],"Several":[69],"numerical":[70],"results":[71],"presented":[73],"to":[74],"show":[75],"capability":[77],"method.":[80],"Numerical":[81],"comparisons":[82],"existing":[85,109],"scheme":[86,99],"also":[88],"further":[89],"elaborated.":[90],"From":[91],"results,":[93],"it":[94,103],"was":[95],"indicated":[96],"that":[97],"works":[100],"well":[101],"is":[104],"comparable":[105],"established":[108],"scheme.":[110]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
