{"id":"https://openalex.org/W2146188823","doi":"https://doi.org/10.1007/s11075-009-9327-7","title":"Local theory of extrapolation methods","display_name":"Local theory of extrapolation methods","publication_year":2009,"publication_date":"2009-08-25","ids":{"openalex":"https://openalex.org/W2146188823","doi":"https://doi.org/10.1007/s11075-009-9327-7","mag":"2146188823"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-009-9327-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-009-9327-7","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/A5023299790","display_name":"Gennady Yu. Kulikov","orcid":"https://orcid.org/0000-0002-1663-6009"},"institutions":[{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Gennady Yu. Kulikov","raw_affiliation_strings":["CEMAT and Instituto Superior T\u00e9cnico, TU Lisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal","TU Lisbon"],"affiliations":[{"raw_affiliation_string":"CEMAT and Instituto Superior T\u00e9cnico, TU Lisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal","institution_ids":["https://openalex.org/I4387152517"]},{"raw_affiliation_string":"TU Lisbon","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023299790"],"corresponding_institution_ids":["https://openalex.org/I4387152517"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9546,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76804598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"53","issue":"2-3","first_page":"321","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":1.0,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.9530906677246094},{"id":"https://openalex.org/keywords/richardson-extrapolation","display_name":"Richardson extrapolation","score":0.8278945684432983},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.7708888649940491},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7488449811935425},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.5801123380661011},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5797283053398132},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5339670777320862},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5031773447990417},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4440634846687317},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4253718852996826},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42283904552459717},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.42058634757995605},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29176831245422363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2698371410369873}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.9530906677246094},{"id":"https://openalex.org/C102893441","wikidata":"https://www.wikidata.org/wiki/Q1063089","display_name":"Richardson extrapolation","level":3,"score":0.8278945684432983},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.7708888649940491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7488449811935425},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.5801123380661011},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5797283053398132},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5339670777320862},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5031773447990417},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4440634846687317},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4253718852996826},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42283904552459717},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.42058634757995605},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29176831245422363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2698371410369873},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-009-9327-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-009-9327-7","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W98941348","https://openalex.org/W197703940","https://openalex.org/W202223177","https://openalex.org/W1510825076","https://openalex.org/W1543750907","https://openalex.org/W2030466868","https://openalex.org/W2036633146","https://openalex.org/W2042388195","https://openalex.org/W2044751500","https://openalex.org/W2061309511","https://openalex.org/W2066537985","https://openalex.org/W2077221255","https://openalex.org/W2081224448","https://openalex.org/W2102628390","https://openalex.org/W2103179848","https://openalex.org/W2116174555","https://openalex.org/W2123780905","https://openalex.org/W2129513316","https://openalex.org/W2484971506","https://openalex.org/W2506655756","https://openalex.org/W4239426298","https://openalex.org/W4298334204"],"related_works":["https://openalex.org/W2026833775","https://openalex.org/W2024387650","https://openalex.org/W2952783626","https://openalex.org/W2152091591","https://openalex.org/W1931485777","https://openalex.org/W2002991067","https://openalex.org/W2316601353","https://openalex.org/W2998551650","https://openalex.org/W2502205613","https://openalex.org/W2977719666"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
