{"id":"https://openalex.org/W2791628307","doi":"https://doi.org/10.1007/s11075-018-0511-5","title":"On an algorithm to adapt spline approximations to the presence of discontinuities","display_name":"On an algorithm to adapt spline approximations to the presence of discontinuities","publication_year":2018,"publication_date":"2018-03-25","ids":{"openalex":"https://openalex.org/W2791628307","doi":"https://doi.org/10.1007/s11075-018-0511-5","mag":"2791628307"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0511-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0511-5","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/A5067555613","display_name":"Sergio Amat","orcid":"https://orcid.org/0000-0002-9954-5240"},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sergio Amat","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Universidad Polit\u00e9cnica de Cartagena (UPCT), Cartagena, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Universidad Polit\u00e9cnica de Cartagena (UPCT), Cartagena, Spain","institution_ids":["https://openalex.org/I3123212020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111561833","display_name":"Juan Ruiz","orcid":"https://orcid.org/0009-0003-6319-5589"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Juan Ruiz","raw_affiliation_strings":["Department of Physics and Mathematics, Universidad de Alcal\u00e1 (UAH), Alcal\u00e1 de Henares, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Mathematics, Universidad de Alcal\u00e1 (UAH), Alcal\u00e1 de Henares, Spain","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047593195","display_name":"J. Carlos Trillo","orcid":"https://orcid.org/0000-0001-5566-8663"},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan C. Trillo","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Universidad Polit\u00e9cnica de Cartagena (UPCT), Cartagena, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Universidad Polit\u00e9cnica de Cartagena (UPCT), Cartagena, Spain","institution_ids":["https://openalex.org/I3123212020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111561833"],"corresponding_institution_ids":["https://openalex.org/I189268942"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2488,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7620618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"80","issue":"3","first_page":"903","last_page":"936"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9918000102043152,"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":0.9918000102043152,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13608","display_name":"Advanced Computational Techniques in Science and Engineering","score":0.9793000221252441,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.7342914938926697},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7212058305740356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6881594657897949},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6481356024742126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.587171196937561},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4587450623512268},{"id":"https://openalex.org/keywords/m-spline","display_name":"M-spline","score":0.4348960220813751},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3601512014865875},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.313315749168396},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2333158254623413},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.1989729106426239}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.7342914938926697},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7212058305740356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6881594657897949},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6481356024742126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.587171196937561},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4587450623512268},{"id":"https://openalex.org/C199765470","wikidata":"https://www.wikidata.org/wiki/Q6712116","display_name":"M-spline","level":5,"score":0.4348960220813751},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3601512014865875},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.313315749168396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2333158254623413},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.1989729106426239},{"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-018-0511-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0511-5","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/G2604351070","display_name":null,"funder_award_id":"19374/PI714","funder_id":"https://openalex.org/F4320310087","funder_display_name":"Fundaci\u00f3n S\u00e9neca"},{"id":"https://openalex.org/G3171295434","display_name":null,"funder_award_id":"MTM2015-64382-P","funder_id":"https://openalex.org/F4320335204","funder_display_name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n"},{"id":"https://openalex.org/G8685806136","display_name":null,"funder_award_id":"Beca Jim\u00e9nez de la Espada","funder_id":"https://openalex.org/F4320310087","funder_display_name":"Fundaci\u00f3n S\u00e9neca"}],"funders":[{"id":"https://openalex.org/F4320310087","display_name":"Fundaci\u00f3n S\u00e9neca","ror":"https://ror.org/03q68pf65"},{"id":"https://openalex.org/F4320335204","display_name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W85435400","https://openalex.org/W1669854886","https://openalex.org/W1738939944","https://openalex.org/W1981798406","https://openalex.org/W1983474313","https://openalex.org/W1995365180","https://openalex.org/W1998715411","https://openalex.org/W2002775473","https://openalex.org/W2007080689","https://openalex.org/W2044084385","https://openalex.org/W2046930170","https://openalex.org/W2050979659","https://openalex.org/W2057827648","https://openalex.org/W2061727736","https://openalex.org/W2066345080","https://openalex.org/W2072763969","https://openalex.org/W2090896907","https://openalex.org/W2148427090","https://openalex.org/W2150536142","https://openalex.org/W2150934503","https://openalex.org/W2162870748","https://openalex.org/W2163765429","https://openalex.org/W2338167957","https://openalex.org/W2343477140","https://openalex.org/W2399165015","https://openalex.org/W2612252123","https://openalex.org/W2746246649"],"related_works":["https://openalex.org/W2357522173","https://openalex.org/W2012938622","https://openalex.org/W2021789660","https://openalex.org/W2054818178","https://openalex.org/W2385811782","https://openalex.org/W2213441607","https://openalex.org/W2905513312","https://openalex.org/W2156597817","https://openalex.org/W2072793008","https://openalex.org/W2102842245"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}