{"id":"https://openalex.org/W4224007655","doi":"https://doi.org/10.1007/s40314-022-01844-z","title":"Two-step peer methods with equation-dependent coefficients","display_name":"Two-step peer methods with equation-dependent coefficients","publication_year":2022,"publication_date":"2022-04-15","ids":{"openalex":"https://openalex.org/W4224007655","doi":"https://doi.org/10.1007/s40314-022-01844-z"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-01844-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-022-01844-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-022-01844-z.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s40314-022-01844-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078408952","display_name":"Dajana Conte","orcid":"https://orcid.org/0000-0001-8486-6861"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Dajana Conte","raw_affiliation_strings":["Department of Mathematics, University of Salerno, Fisciano, SA, Italy"],"raw_orcid":"https://orcid.org/0000-0001-8486-6861","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, Fisciano, SA, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035953517","display_name":"Giovanni Pagano","orcid":"https://orcid.org/0000-0002-6373-9473"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Pagano","raw_affiliation_strings":["Department of Mathematics, University of Salerno, Fisciano, SA, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, Fisciano, SA, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082093853","display_name":"Beatrice Paternoster","orcid":"https://orcid.org/0000-0002-9712-1364"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Beatrice Paternoster","raw_affiliation_strings":["Department of Mathematics, University of Salerno, Fisciano, SA, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, Fisciano, SA, Italy","institution_ids":["https://openalex.org/I131729948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078408952"],"corresponding_institution_ids":["https://openalex.org/I131729948"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":2.6332,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88481675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"41","issue":"4","first_page":null,"last_page":null},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.996999979019165,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9926000237464905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.8081645369529724},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.6669594049453735},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6640162467956543},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.657855749130249},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5464299321174622},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5403921604156494},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5286973714828491},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.47554466128349304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.385719895362854},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22318804264068604}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.8081645369529724},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6669594049453735},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6640162467956543},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.657855749130249},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5464299321174622},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5403921604156494},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5286973714828491},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.47554466128349304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.385719895362854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22318804264068604},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/s40314-022-01844-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-022-01844-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-022-01844-z.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s40314-022-01844-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-022-01844-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-022-01844-z.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4945287214","display_name":null,"funder_award_id":"2017JYCLSF","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4224007655.pdf","grobid_xml":"https://content.openalex.org/works/W4224007655.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1057021034","https://openalex.org/W1584724822","https://openalex.org/W1971845059","https://openalex.org/W2004759358","https://openalex.org/W2016221813","https://openalex.org/W2018209799","https://openalex.org/W2019564448","https://openalex.org/W2029993476","https://openalex.org/W2076456542","https://openalex.org/W2079812653","https://openalex.org/W2080880218","https://openalex.org/W2105748997","https://openalex.org/W2139437359","https://openalex.org/W2215383554","https://openalex.org/W2596232220","https://openalex.org/W2768710037","https://openalex.org/W2769254558","https://openalex.org/W2794595703","https://openalex.org/W2795171450","https://openalex.org/W2955798454","https://openalex.org/W2976386087","https://openalex.org/W3033927425","https://openalex.org/W3035179766","https://openalex.org/W3138259213","https://openalex.org/W3183355575","https://openalex.org/W3199220692","https://openalex.org/W4249563570"],"related_works":["https://openalex.org/W2049797552","https://openalex.org/W4206695959","https://openalex.org/W2607819341","https://openalex.org/W2263887205","https://openalex.org/W2950301484","https://openalex.org/W1750424384","https://openalex.org/W3161724164","https://openalex.org/W2048795484","https://openalex.org/W2589586168","https://openalex.org/W4302422245"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"introduce":[2],"a":[3],"new":[4,53],"class":[5],"of":[6,14,19,27,33,51],"explicit":[7],"two-step":[8],"peer":[9,22],"methods":[10,54],"with":[11],"the":[12,16,31,34,45,52,57],"aim":[13],"improving":[15],"stability":[17,47],"properties":[18,50],"already":[20],"existing":[21],"methods,":[23],"by":[24],"making":[25],"use":[26],"coefficients":[28],"depending":[29],"on":[30],"Jacobian":[32],"Ordinary":[35],"Differential":[36],"Equations":[37],"(ODEs)":[38],"system":[39],"to":[40,56],"solve.":[41],"Numerical":[42],"tests":[43],"highlight":[44],"best":[46],"and":[48,59],"accuracy":[49],"compared":[55],"classical":[58],"equation-dependent":[60],"ones":[61],"proposed":[62],"in":[63],"Conte":[64],"et":[65],"al.":[66],"(Lect":[67],"Notes":[68],"Comput":[69],"Sci":[70],"12949:309\u2013324,":[71],"2021).":[72]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}