{"id":"https://openalex.org/W64179385","doi":"https://doi.org/10.1007/bf02243849","title":"Runge-Kutta pairs for periodic initial value problems","display_name":"Runge-Kutta pairs for periodic initial value problems","publication_year":1993,"publication_date":"1993-06-01","ids":{"openalex":"https://openalex.org/W64179385","doi":"https://doi.org/10.1007/bf02243849","mag":"64179385"},"language":"en","primary_location":{"id":"doi:10.1007/bf02243849","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02243849","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":true,"oa_status":"green","oa_url":"http://doi.org/10.1007/BF02243849","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051235431","display_name":"George Papageorgiou","orcid":"https://orcid.org/0000-0002-3725-4499"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"G. Papageorgiou","raw_affiliation_strings":["Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece","[Department of Mathematics, National Technical, University of Athens, Athens, Greece]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"[Department of Mathematics, National Technical, University of Athens, Athens, Greece]","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006207605","display_name":"Ch. Tsitouras","orcid":"https://orcid.org/0000-0001-6801-8117"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Ch. Tsitouras","raw_affiliation_strings":["Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece","[Department of Mathematics, National Technical, University of Athens, Athens, Greece]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"[Department of Mathematics, National Technical, University of Athens, Athens, Greece]","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063457986","display_name":"S. N. Papakostas","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"S. N. Papakostas","raw_affiliation_strings":["Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece","[Department of Mathematics, National Technical, University of Athens, Athens, Greece]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"[Department of Mathematics, National Technical, University of Athens, Athens, Greece]","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051235431"],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.3287,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.87759231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"51","issue":"2","first_page":"151","last_page":"163"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9962000250816345,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9925000071525574,"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":0.7668805122375488},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.7503769993782043},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.738383412361145},{"id":"https://openalex.org/keywords/phase-lag","display_name":"Phase lag","score":0.7206709384918213},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.6068880558013916},{"id":"https://openalex.org/keywords/lag","display_name":"Lag","score":0.5603609681129456},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.536322832107544},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5103971362113953},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5090722441673279},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4718620479106903},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4662802219390869},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.46093669533729553},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.45593732595443726},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4521118700504303},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4437459111213684},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.41487568616867065},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12688523530960083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12621593475341797},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1200357973575592}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7668805122375488},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.7503769993782043},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.738383412361145},{"id":"https://openalex.org/C2983665814","wikidata":"https://www.wikidata.org/wiki/Q17120908","display_name":"Phase lag","level":2,"score":0.7206709384918213},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.6068880558013916},{"id":"https://openalex.org/C75778745","wikidata":"https://www.wikidata.org/wiki/Q342626","display_name":"Lag","level":2,"score":0.5603609681129456},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.536322832107544},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5103971362113953},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5090722441673279},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4718620479106903},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4662802219390869},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.46093669533729553},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.45593732595443726},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4521118700504303},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4437459111213684},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.41487568616867065},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12688523530960083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12621593475341797},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1200357973575592},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02243849","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02243849","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"},{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/11058","is_oa":true,"landing_page_url":"http://doi.org/10.1007/BF02243849","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/11058","is_oa":true,"landing_page_url":"http://doi.org/10.1007/BF02243849","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W64179385","https://openalex.org/W768639568","https://openalex.org/W1913232214","https://openalex.org/W1976550027","https://openalex.org/W1985921719","https://openalex.org/W2002340771","https://openalex.org/W2002403545","https://openalex.org/W2027413093","https://openalex.org/W2040679101","https://openalex.org/W2045347410","https://openalex.org/W2060641206","https://openalex.org/W2132260313","https://openalex.org/W2144144709","https://openalex.org/W2172044457","https://openalex.org/W2981569720"],"related_works":["https://openalex.org/W21086365","https://openalex.org/W138907054","https://openalex.org/W2040666836","https://openalex.org/W2883035977","https://openalex.org/W2047993249","https://openalex.org/W2238041693","https://openalex.org/W2044869171","https://openalex.org/W1998311370","https://openalex.org/W2078321764","https://openalex.org/W2031460242"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
