{"id":"https://openalex.org/W7125155926","doi":"https://doi.org/10.1016/j.cam.2026.117375","title":"Novel Birkhoff-hermite ERKN methods for solving general second-order highly oscillatory systems","display_name":"Novel Birkhoff-hermite ERKN methods for solving general second-order highly oscillatory systems","publication_year":2026,"publication_date":"2026-01-21","ids":{"openalex":"https://openalex.org/W7125155926","doi":"https://doi.org/10.1016/j.cam.2026.117375"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2026.117375","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117375","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied 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/A5123530174","display_name":"Yonglei Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210159676","display_name":"Zaozhuang University","ror":"https://ror.org/05x21tp94","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210159676"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yonglei Fang","raw_affiliation_strings":["School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, 277160, Shandong, China"],"raw_orcid":"https://orcid.org/0000-0002-5615-5971","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, 277160, Shandong, China","institution_ids":["https://openalex.org/I4210159676"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Changying Liu","orcid":"https://orcid.org/0000-0003-4015-4322"},"institutions":[{"id":"https://openalex.org/I4210136682","display_name":"Heze University","ror":"https://ror.org/041zje040","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210136682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changying Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Heze University, Heze, 274015, Shandong, China"],"raw_orcid":"https://orcid.org/0000-0003-4015-4322","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Heze University, Heze, 274015, Shandong, China","institution_ids":["https://openalex.org/I4210136682"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004999123","display_name":"Xiong You","orcid":"https://orcid.org/0000-0002-0343-3878"},"institutions":[{"id":"https://openalex.org/I119454577","display_name":"Nanjing Agricultural University","ror":"https://ror.org/05td3s095","country_code":"CN","type":"education","lineage":["https://openalex.org/I119454577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiong You","raw_affiliation_strings":["Department of Applied Mathematics, Nanjing Agricultural University, Nanjing, 210095, Jiangsu, China"],"raw_orcid":"https://orcid.org/0000-0002-0343-3878","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Nanjing Agricultural University, Nanjing, 210095, Jiangsu, China","institution_ids":["https://openalex.org/I119454577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5123530174"],"corresponding_institution_ids":["https://openalex.org/I4210159676"],"apc_list":{"value":3040,"currency":"USD","value_usd":3040},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17119765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"483","issue":null,"first_page":"117375","last_page":"117375"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9898999929428101,"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":0.9898999929428101,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.0008999999845400453,"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/integrator","display_name":"Integrator","score":0.8532999753952026},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6712999939918518},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6284999847412109},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.5460000038146973},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4237000048160553},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4228000044822693},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.36899998784065247},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.33340001106262207}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8798999786376953},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.8532999753952026},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6712999939918518},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6284999847412109},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.5460000038146973},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4964999854564667},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4237000048160553},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4228000044822693},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40869998931884766},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.36899998784065247},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.33340001106262207},{"id":"https://openalex.org/C52154503","wikidata":"https://www.wikidata.org/wiki/Q7915797","display_name":"Variational integrator","level":4,"score":0.32440000772476196},{"id":"https://openalex.org/C2989268449","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Energy method","level":2,"score":0.30799999833106995},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.30640000104904175},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2944999933242798},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.2892000079154968},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.25110000371932983}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2026.117375","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117375","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.9061078429222107,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1213947890","display_name":null,"funder_award_id":"ZR2024MA056","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G4683048876","display_name":null,"funder_award_id":"XY22BS28","funder_id":"https://openalex.org/F4320325563","funder_display_name":"Heze University"},{"id":"https://openalex.org/G6181233387","display_name":null,"funder_award_id":"12071419","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8656413291","display_name":null,"funder_award_id":"ZR2025MS34","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320325563","display_name":"Heze University","ror":"https://ror.org/041zje040"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1963830644","https://openalex.org/W1966956478","https://openalex.org/W1981030281","https://openalex.org/W1996317117","https://openalex.org/W2008724349","https://openalex.org/W2011748668","https://openalex.org/W2017098992","https://openalex.org/W2032971347","https://openalex.org/W2033071189","https://openalex.org/W2041291710","https://openalex.org/W2048088921","https://openalex.org/W2049431512","https://openalex.org/W2116724366","https://openalex.org/W2158243018","https://openalex.org/W2515448417","https://openalex.org/W2549943168","https://openalex.org/W2601216915","https://openalex.org/W2610629502","https://openalex.org/W2771014479","https://openalex.org/W2772396126","https://openalex.org/W2796799031","https://openalex.org/W2884488468","https://openalex.org/W2887132110","https://openalex.org/W2990752974","https://openalex.org/W3012067494","https://openalex.org/W3217048422","https://openalex.org/W4401101413"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-30T23:17:42.513302","created_date":"2026-01-22T00:00:00"}