{"id":"https://openalex.org/W1588196093","doi":"https://doi.org/10.1023/a:1015166529060","title":"A Compact Higher Order Finite Difference Method for the Incompressible Navier\u2013Stokes Equations","display_name":"A Compact Higher Order Finite Difference Method for the Incompressible Navier\u2013Stokes Equations","publication_year":2002,"publication_date":"2002-12-01","ids":{"openalex":"https://openalex.org/W1588196093","doi":"https://doi.org/10.1023/a:1015166529060","mag":"1588196093"},"language":"en","primary_location":{"id":"doi:10.1023/a:1015166529060","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1015166529060","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5050096728","display_name":"Arnim Br\u00fcger","orcid":null},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Arnim Br\u00fcger","raw_affiliation_strings":["Department of Mechanics, KTH, Stockholm, Sweden","Department of Mechanics, KTH Stockholm, Sweden. arnim@mech.kth.se"],"affiliations":[{"raw_affiliation_string":"Department of Mechanics, KTH, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"Department of Mechanics, KTH Stockholm, Sweden. arnim@mech.kth.se","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103360662","display_name":"Jonas Nilsson","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Jonas Nilsson","raw_affiliation_strings":["Department of Scientific Computing, Uppsala University, Sweden","Department of Scientific Computing, Uppsala University, Sweden#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Scientific Computing, Uppsala University, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Department of Scientific Computing, Uppsala University, Sweden#TAB#","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081666535","display_name":"Wendy Kress","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Wendy Kress","raw_affiliation_strings":["Department of Scientific Computing, Uppsala University, Sweden","Department of Scientific Computing, Uppsala University, Sweden#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Scientific Computing, Uppsala University, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Department of Scientific Computing, Uppsala University, Sweden#TAB#","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050096728"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.691,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.92104766,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"17","issue":"1-4","first_page":"551","last_page":"560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9993000030517578,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9937000274658203,"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/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.9313682317733765},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8844045996665955},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5694673657417297},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.514018177986145},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4934035837650299},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4553338885307312},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.45191699266433716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42248231172561646},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42215216159820557},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.4118175804615021},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22764801979064941},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.16504263877868652},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.07990732789039612}],"concepts":[{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.9313682317733765},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8844045996665955},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5694673657417297},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.514018177986145},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4934035837650299},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4553338885307312},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.45191699266433716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42248231172561646},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42215216159820557},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.4118175804615021},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22764801979064941},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.16504263877868652},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.07990732789039612},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1015166529060","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1015166529060","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W16950806","https://openalex.org/W341529517","https://openalex.org/W1504595764","https://openalex.org/W1597359858","https://openalex.org/W1981648779","https://openalex.org/W2048652721","https://openalex.org/W2103606462","https://openalex.org/W2772890040","https://openalex.org/W3005534908"],"related_works":["https://openalex.org/W2034966818","https://openalex.org/W2193950510","https://openalex.org/W2318783616","https://openalex.org/W4307211006","https://openalex.org/W2553664144","https://openalex.org/W2131322676","https://openalex.org/W4290096735","https://openalex.org/W2028464747","https://openalex.org/W4293078000","https://openalex.org/W1965041963"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
