{"id":"https://openalex.org/W2001749753","doi":"https://doi.org/10.1007/s00607-002-1463-z","title":"Cubic Spline Collocation for Volterra Integral Equations","display_name":"Cubic Spline Collocation for Volterra Integral Equations","publication_year":2002,"publication_date":"2002-12-01","ids":{"openalex":"https://openalex.org/W2001749753","doi":"https://doi.org/10.1007/s00607-002-1463-z","mag":"2001749753"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-002-1463-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-002-1463-z","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5024717288","display_name":"Peeter Oja","orcid":null},"institutions":[{"id":"https://openalex.org/I56085075","display_name":"University of Tartu","ror":"https://ror.org/03z77qz90","country_code":"EE","type":"education","lineage":["https://openalex.org/I56085075"]}],"countries":["EE"],"is_corresponding":true,"raw_author_name":"Peeter Oja","raw_affiliation_strings":["Institute of Applied Mathematics Tartu University Liivi 2 50409 Tartu Estonia e-mail: peeter_o@ut.ee, , , , , , EE","Institute of Applied Mathematics, Tartu University, Liivi 2, 50409 Tartu, Estonia#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics Tartu University Liivi 2 50409 Tartu Estonia e-mail: peeter_o@ut.ee, , , , , , EE","institution_ids":["https://openalex.org/I56085075"]},{"raw_affiliation_string":"Institute of Applied Mathematics, Tartu University, Liivi 2, 50409 Tartu, Estonia#TAB#","institution_ids":["https://openalex.org/I56085075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026192767","display_name":"Darja Saveljeva","orcid":null},"institutions":[{"id":"https://openalex.org/I56085075","display_name":"University of Tartu","ror":"https://ror.org/03z77qz90","country_code":"EE","type":"education","lineage":["https://openalex.org/I56085075"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Darja Saveljeva","raw_affiliation_strings":["Institute of Applied Mathematics Tartu University Liivi 2 50409 Tartu Estonia e-mail: darja@ut.ee, , , , , , EE","Institute of Applied Mathematics, Tartu University, Liivi 2, 50409 Tartu, Estonia#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics Tartu University Liivi 2 50409 Tartu Estonia e-mail: darja@ut.ee, , , , , , EE","institution_ids":["https://openalex.org/I56085075"]},{"raw_affiliation_string":"Institute of Applied Mathematics, Tartu University, Liivi 2, 50409 Tartu, Estonia#TAB#","institution_ids":["https://openalex.org/I56085075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024717288"],"corresponding_institution_ids":["https://openalex.org/I56085075"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.2135,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.93197279,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"69","issue":"4","first_page":"319","last_page":"337"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991000294685364,"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":0.9991000294685364,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9969000220298767,"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/T10514","display_name":"Numerical methods in engineering","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7528478503227234},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.7078032493591309},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.620017409324646},{"id":"https://openalex.org/keywords/volterra-integral-equation","display_name":"Volterra integral equation","score":0.5958310961723328},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5611577033996582},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.5511684417724609},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.5422840714454651},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.516899824142456},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5132441520690918},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4942364990711212},{"id":"https://openalex.org/keywords/monotone-cubic-interpolation","display_name":"Monotone cubic interpolation","score":0.4489806592464447},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4433285593986511},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4290992319583893},{"id":"https://openalex.org/keywords/cubic-hermite-spline","display_name":"Cubic Hermite spline","score":0.4165516495704651},{"id":"https://openalex.org/keywords/hermite-spline","display_name":"Hermite spline","score":0.4145238697528839},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.25456905364990234},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.18501010537147522},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.16104546189308167},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.11807000637054443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10800042748451233},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.09067913889884949},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.07811495661735535}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7528478503227234},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.7078032493591309},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.620017409324646},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.5958310961723328},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5611577033996582},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.5511684417724609},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.5422840714454651},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.516899824142456},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5132441520690918},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4942364990711212},{"id":"https://openalex.org/C64485984","wikidata":"https://www.wikidata.org/wiki/Q4044484","display_name":"Monotone cubic interpolation","level":5,"score":0.4489806592464447},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4433285593986511},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4290992319583893},{"id":"https://openalex.org/C84607441","wikidata":"https://www.wikidata.org/wiki/Q1537263","display_name":"Cubic Hermite spline","level":5,"score":0.4165516495704651},{"id":"https://openalex.org/C186763157","wikidata":"https://www.wikidata.org/wiki/Q5741918","display_name":"Hermite spline","level":5,"score":0.4145238697528839},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.25456905364990234},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.18501010537147522},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.16104546189308167},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.11807000637054443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10800042748451233},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.09067913889884949},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.07811495661735535},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","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},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00607-002-1463-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-002-1463-z","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321018","display_name":"Eesti Teadusfondi","ror":"https://ror.org/00jjeja18"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1602369757","https://openalex.org/W1969680755","https://openalex.org/W1979762896","https://openalex.org/W1986683394","https://openalex.org/W2014208709","https://openalex.org/W2077010077","https://openalex.org/W2090344516","https://openalex.org/W2152592203","https://openalex.org/W2340324549","https://openalex.org/W2506652864","https://openalex.org/W3134067276","https://openalex.org/W3143329128","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2117487173","https://openalex.org/W2102842245","https://openalex.org/W1975728046","https://openalex.org/W2070774473","https://openalex.org/W2034614716","https://openalex.org/W4383745289","https://openalex.org/W2062768614","https://openalex.org/W2371645298","https://openalex.org/W2154654948","https://openalex.org/W2001749753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
