{"id":"https://openalex.org/W1998595723","doi":"https://doi.org/10.1007/s00211-008-0191-5","title":"A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh\u2013B\u00e9nard problems","display_name":"A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh\u2013B\u00e9nard problems","publication_year":2008,"publication_date":"2008-11-11","ids":{"openalex":"https://openalex.org/W1998595723","doi":"https://doi.org/10.1007/s00211-008-0191-5","mag":"1998595723"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-008-0191-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-008-0191-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://catalog.lib.kyushu-u.ac.jp/opac_download_md/4024/2007-10.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055781293","display_name":"Myoungnyoun Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Myoungnyoun Kim","raw_affiliation_strings":["Faculty of Mathematics, Kyushu University 33, Fukuoka, 812-8581, Japan","Kyushu University 33, Faculty of Mathematics, 812-8581, Fukuoka, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Kyushu University 33, Fukuoka, 812-8581, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Kyushu University 33, Faculty of Mathematics, 812-8581, Fukuoka, Japan#TAB#","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066956728","display_name":"Mitsuhiro Nakao","orcid":"https://orcid.org/0000-0002-0980-0114"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mitsuhiro T. Nakao","raw_affiliation_strings":["Faculty of Mathematics, Kyushu University 33, Fukuoka, 812-8581, Japan","Kyushu University 33, Faculty of Mathematics, 812-8581, Fukuoka, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Kyushu University 33, Fukuoka, 812-8581, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Kyushu University 33, Faculty of Mathematics, 812-8581, Fukuoka, Japan#TAB#","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020726356","display_name":"Yoshitaka Watanabe","orcid":"https://orcid.org/0000-0001-6520-3552"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshitaka Watanabe","raw_affiliation_strings":["Computing and Communications Center, Kyushu University 33, Fukuoka, 812-8581, Japan","Kyushu University 33, Computing and Communications Center, 812-8581, Fukuoka, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Computing and Communications Center, Kyushu University 33, Fukuoka, 812-8581, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Kyushu University 33, Computing and Communications Center, 812-8581, Fukuoka, Japan#TAB#","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037784397","display_name":"Takaaki Nishida","orcid":"https://orcid.org/0000-0003-3042-0180"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takaaki Nishida","raw_affiliation_strings":["Faculty of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo, 169-8555, Japan","Waseda University, Faculty of Science and Engineering, 3-4-1 Okubo, Shinjuku-ku, 169-8555, Tokyo, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo, 169-8555, Japan","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"Waseda University, Faculty of Science and Engineering, 3-4-1 Okubo, Shinjuku-ku, 169-8555, Tokyo, Japan#TAB#","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055781293"],"corresponding_institution_ids":["https://openalex.org/I135598925"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.2895,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.87495854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"111","issue":"3","first_page":"389","last_page":"406"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9803000092506409,"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"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9803000092506409,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9337000250816345,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9212999939918518,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7750246524810791},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6174589991569519},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5730907917022705},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5301386117935181},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5263032913208008},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5201200246810913},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4509090185165405},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.439298152923584},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3444667160511017},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.18869554996490479},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14119687676429749},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07572194933891296}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7750246524810791},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6174589991569519},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5730907917022705},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5301386117935181},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5263032913208008},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5201200246810913},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4509090185165405},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.439298152923584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3444667160511017},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18869554996490479},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14119687676429749},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07572194933891296},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-008-0191-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-008-0191-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:irdb.nii.ac.jp:01211:0005984524","is_oa":true,"landing_page_url":"https://hdl.handle.net/2324/4024","pdf_url":"https://catalog.lib.kyushu-u.ac.jp/opac_download_md/4024/2007-10.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},{"id":"pmh:oai:catalog.lib.kyushu-u.ac.jp:2324/4024","is_oa":true,"landing_page_url":"http://hdl.handle.net/2324/4024","pdf_url":null,"source":{"id":"https://openalex.org/S4306400832","display_name":"Kyushu University Institutional Repository (QIR) (Kyushu University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I135598925","host_organization_name":"Kyushu University","host_organization_lineage":["https://openalex.org/I135598925"],"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":"","raw_type":"preprint"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01211:0005984524","is_oa":true,"landing_page_url":"https://hdl.handle.net/2324/4024","pdf_url":"https://catalog.lib.kyushu-u.ac.jp/opac_download_md/4024/2007-10.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1998595723.pdf","grobid_xml":"https://content.openalex.org/works/W1998595723.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W87867753","https://openalex.org/W178102811","https://openalex.org/W1983975128","https://openalex.org/W1991606206","https://openalex.org/W2098561264","https://openalex.org/W2468331248","https://openalex.org/W2481094761"],"related_works":["https://openalex.org/W2391540797","https://openalex.org/W2005355485","https://openalex.org/W1570727143","https://openalex.org/W2703435152","https://openalex.org/W168375694","https://openalex.org/W2063555990","https://openalex.org/W4382882835","https://openalex.org/W2587625811","https://openalex.org/W2092688553","https://openalex.org/W2492162478"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
