{"id":"https://openalex.org/W2066869074","doi":"https://doi.org/10.1007/s10444-004-7209-z","title":"On explicit multi-revolution Runge\u2013Kutta schemes","display_name":"On explicit multi-revolution Runge\u2013Kutta schemes","publication_year":2006,"publication_date":"2006-08-18","ids":{"openalex":"https://openalex.org/W2066869074","doi":"https://doi.org/10.1007/s10444-004-7209-z","mag":"2066869074"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-004-7209-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-004-7209-z","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5110207800","display_name":"M. Calvo","orcid":"https://orcid.org/0000-0002-3312-5710"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. Calvo","raw_affiliation_strings":["Departamento Matem\u00e1tica Aplicada, Universidad de Zaragoza, Pza. San Francisco s/n, 50009, Zaragoza, Spain","Universidad de Zaragoza"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento Matem\u00e1tica Aplicada, Universidad de Zaragoza, Pza. San Francisco s/n, 50009, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]},{"raw_affiliation_string":"Universidad de Zaragoza","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029719563","display_name":"J.I. Montijano","orcid":"https://orcid.org/0000-0001-6120-4427"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. I. Montijano","raw_affiliation_strings":["Departamento Matem\u00e1tica Aplicada, Universidad de Zaragoza, Pza. San Francisco s/n, 50009, Zaragoza, Spain","Universidad de Zaragoza"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento Matem\u00e1tica Aplicada, Universidad de Zaragoza, Pza. San Francisco s/n, 50009, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]},{"raw_affiliation_string":"Universidad de Zaragoza","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083672564","display_name":"L. R\u00e1ndez","orcid":"https://orcid.org/0000-0002-4238-3228"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L. R\u00e1ndez","raw_affiliation_strings":["Departamento Matem\u00e1tica Aplicada, Universidad de Zaragoza, Pza. San Francisco s/n, 50009, Zaragoza, Spain","Universidad de Zaragoza"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento Matem\u00e1tica Aplicada, Universidad de Zaragoza, Pza. San Francisco s/n, 50009, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]},{"raw_affiliation_string":"Universidad de Zaragoza","institution_ids":["https://openalex.org/I255234318"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110207800"],"corresponding_institution_ids":["https://openalex.org/I255234318"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4302,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.6443769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"1-3","first_page":"105","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9976000189781189,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9965999722480774,"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/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.878482460975647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7623741626739502},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.6310402154922485},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.5504598617553711},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5321654081344604},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5036420226097107},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49267512559890747},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.47659772634506226},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33530622720718384},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.2912847697734833},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27480578422546387}],"concepts":[{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.878482460975647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7623741626739502},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.6310402154922485},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.5504598617553711},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5321654081344604},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5036420226097107},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49267512559890747},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.47659772634506226},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33530622720718384},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2912847697734833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27480578422546387},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10444-004-7209-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-004-7209-z","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:hispana.mcu.es:4176763","is_oa":false,"landing_page_url":"http://zaguan.unizar.es/record/3263","pdf_url":null,"source":{"id":"https://openalex.org/S4377196108","display_name":"Hispana","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W1649086879","https://openalex.org/W1999259114","https://openalex.org/W2012322405","https://openalex.org/W2017155457","https://openalex.org/W2017507148","https://openalex.org/W2037721359","https://openalex.org/W2042388195","https://openalex.org/W2044075304","https://openalex.org/W2061676642","https://openalex.org/W2063925453","https://openalex.org/W2078103124","https://openalex.org/W2121028606","https://openalex.org/W2144144709","https://openalex.org/W2218272093","https://openalex.org/W2506655756","https://openalex.org/W2981569720","https://openalex.org/W4291439952","https://openalex.org/W6681437935"],"related_works":["https://openalex.org/W138907054","https://openalex.org/W21086365","https://openalex.org/W2044869171","https://openalex.org/W1998311370","https://openalex.org/W2041015872","https://openalex.org/W2078321764","https://openalex.org/W2188762454","https://openalex.org/W4233718311","https://openalex.org/W2160716572","https://openalex.org/W2802574492"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-18T07:39:51.176621","created_date":"2025-10-10T00:00:00"}