{"id":"https://openalex.org/W2066835529","doi":"https://doi.org/10.1007/s11075-011-9459-4","title":"The numerical method of successive interpolations for Fredholm functional integral equations","display_name":"The numerical method of successive interpolations for Fredholm functional integral equations","publication_year":2011,"publication_date":"2011-04-12","ids":{"openalex":"https://openalex.org/W2066835529","doi":"https://doi.org/10.1007/s11075-011-9459-4","mag":"2066835529"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-011-9459-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-011-9459-4","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/A5067906460","display_name":"Alexandru Mihai Bica","orcid":"https://orcid.org/0000-0003-1869-9991"},"institutions":[{"id":"https://openalex.org/I162871001","display_name":"University of Oradea","ror":"https://ror.org/00wzhv093","country_code":"RO","type":"education","lineage":["https://openalex.org/I162871001"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Alexandru Mihai Bica","raw_affiliation_strings":["Department of Mathematics and Informatics, University of Oradea, Str. Universit\u0103\u0163ii no. 1, 410087, Oradea, Romania","University of Oradea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Oradea, Str. Universit\u0103\u0163ii no. 1, 410087, Oradea, Romania","institution_ids":["https://openalex.org/I162871001"]},{"raw_affiliation_string":"University of Oradea","institution_ids":["https://openalex.org/I162871001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067906460"],"corresponding_institution_ids":["https://openalex.org/I162871001"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.0874937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"58","issue":"3","first_page":"351","last_page":"377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9941999912261963,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9890000224113464,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8225259780883789},{"id":"https://openalex.org/keywords/fredholm-integral-equation","display_name":"Fredholm integral equation","score":0.7758386135101318},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6548069715499878},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.6209201812744141},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.6063809990882874},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.5576980113983154},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5438001155853271},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5278608202934265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5099664926528931},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5065184831619263},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.4958582818508148},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.4638500213623047},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44843193888664246},{"id":"https://openalex.org/keywords/fredholm-theory","display_name":"Fredholm theory","score":0.4388105571269989},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32112830877304077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13392850756645203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10246837139129639}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8225259780883789},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.7758386135101318},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6548069715499878},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.6209201812744141},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.6063809990882874},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.5576980113983154},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5438001155853271},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5278608202934265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5099664926528931},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5065184831619263},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.4958582818508148},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.4638500213623047},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44843193888664246},{"id":"https://openalex.org/C518188847","wikidata":"https://www.wikidata.org/wiki/Q4455098","display_name":"Fredholm theory","level":4,"score":0.4388105571269989},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32112830877304077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13392850756645203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10246837139129639},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-011-9459-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-011-9459-4","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":64,"referenced_works":["https://openalex.org/W169461701","https://openalex.org/W583292912","https://openalex.org/W585764074","https://openalex.org/W627073020","https://openalex.org/W1256455720","https://openalex.org/W1528063838","https://openalex.org/W1531642969","https://openalex.org/W1543326485","https://openalex.org/W1547403762","https://openalex.org/W1922505179","https://openalex.org/W1970439845","https://openalex.org/W1970661745","https://openalex.org/W1978142553","https://openalex.org/W1982897148","https://openalex.org/W1990048362","https://openalex.org/W1990983953","https://openalex.org/W1990986596","https://openalex.org/W1996140377","https://openalex.org/W1997459189","https://openalex.org/W2007988178","https://openalex.org/W2009198898","https://openalex.org/W2014208709","https://openalex.org/W2014537528","https://openalex.org/W2015102866","https://openalex.org/W2019492364","https://openalex.org/W2020866097","https://openalex.org/W2026167969","https://openalex.org/W2028087577","https://openalex.org/W2029852573","https://openalex.org/W2031156544","https://openalex.org/W2032409512","https://openalex.org/W2034617954","https://openalex.org/W2035292807","https://openalex.org/W2036156558","https://openalex.org/W2037789014","https://openalex.org/W2038453892","https://openalex.org/W2043569612","https://openalex.org/W2048520203","https://openalex.org/W2052040160","https://openalex.org/W2060819023","https://openalex.org/W2063306758","https://openalex.org/W2067027858","https://openalex.org/W2068721448","https://openalex.org/W2074366217","https://openalex.org/W2077412880","https://openalex.org/W2081053116","https://openalex.org/W2082210772","https://openalex.org/W2082916175","https://openalex.org/W2094322964","https://openalex.org/W2112390231","https://openalex.org/W2124910906","https://openalex.org/W2129426017","https://openalex.org/W2157652584","https://openalex.org/W2162870748","https://openalex.org/W2168857596","https://openalex.org/W2316063116","https://openalex.org/W2323120621","https://openalex.org/W2494779131","https://openalex.org/W2505920944","https://openalex.org/W4235485079","https://openalex.org/W4236171073","https://openalex.org/W4246435287","https://openalex.org/W4292232969","https://openalex.org/W6692469283"],"related_works":["https://openalex.org/W1667827684","https://openalex.org/W3103661882","https://openalex.org/W2064890114","https://openalex.org/W2704059178","https://openalex.org/W4385505126","https://openalex.org/W3020367084","https://openalex.org/W2340538737","https://openalex.org/W2023393621","https://openalex.org/W2910219522","https://openalex.org/W3192438275"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}