{"id":"https://openalex.org/W2115699021","doi":"https://doi.org/10.1007/s10915-009-9322-0","title":"A High Order Compact Scheme for\u00a0the\u00a0Pure-Streamfunction Formulation of\u00a0the\u00a0Navier-Stokes\u00a0Equations","display_name":"A High Order Compact Scheme for\u00a0the\u00a0Pure-Streamfunction Formulation of\u00a0the\u00a0Navier-Stokes\u00a0Equations","publication_year":2009,"publication_date":"2009-09-14","ids":{"openalex":"https://openalex.org/W2115699021","doi":"https://doi.org/10.1007/s10915-009-9322-0","mag":"2115699021"},"language":"fr","primary_location":{"id":"doi:10.1007/s10915-009-9322-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9322-0","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/A5041159863","display_name":"Matania Ben\u2010Artzi","orcid":"https://orcid.org/0000-0002-6782-4085"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"M. Ben-Artzi","raw_affiliation_strings":["Institute of Mathematics, The Hebrew University, Jerusalem, 91904, Israel","Institute of Mathematics, The Hebrew University, Jerusalem, Israel 91904"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Jerusalem, 91904, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Jerusalem, Israel 91904","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066615764","display_name":"Jean\u2010Pierre Croisille","orcid":"https://orcid.org/0000-0002-4808-4341"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J.-P. Croisille","raw_affiliation_strings":["Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, 57045, France","Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, France 57045"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, 57045, France","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, LMAM, UMR 7122, University of Paul Verlaine-Metz, Metz, France 57045","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008040792","display_name":"Dalia Fishelov","orcid":"https://orcid.org/0000-0001-6927-2125"},"institutions":[{"id":"https://openalex.org/I119096390","display_name":"Afeka College of Engineering","ror":"https://ror.org/05dhprc49","country_code":"IL","type":"education","lineage":["https://openalex.org/I119096390"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"D. Fishelov","raw_affiliation_strings":["Afeka, Tel-Aviv Academic College of Engineering, 218 Bnei-Efraim St., Tel-Aviv, 69107, Israel","Afeka, Tel-Aviv Academic College of Engineering, Tel-Aviv, Israel 69107#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Afeka, Tel-Aviv Academic College of Engineering, 218 Bnei-Efraim St., Tel-Aviv, 69107, Israel","institution_ids":["https://openalex.org/I119096390"]},{"raw_affiliation_string":"Afeka, Tel-Aviv Academic College of Engineering, Tel-Aviv, Israel 69107#TAB#","institution_ids":["https://openalex.org/I119096390"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008040792"],"corresponding_institution_ids":["https://openalex.org/I119096390"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3884,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.82431375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"42","issue":"2","first_page":"216","last_page":"250"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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":0.9970999956130981,"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/biharmonic-equation","display_name":"Biharmonic equation","score":0.9495357871055603},{"id":"https://openalex.org/keywords/stencil","display_name":"Stencil","score":0.8795905709266663},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8111382722854614},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6070090532302856},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5273500084877014},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5149217844009399},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5004658699035645},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.492636501789093},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4871678054332733},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44273579120635986},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.414574533700943},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3691573739051819},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0879698097705841}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.9495357871055603},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.8795905709266663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8111382722854614},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6070090532302856},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5273500084877014},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5149217844009399},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5004658699035645},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.492636501789093},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4871678054332733},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44273579120635986},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.414574533700943},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3691573739051819},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0879698097705841},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-009-9322-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9322-0","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.502.756","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.502.756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.tau.ac.il/~daliaf/jsc_fourth_2009.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309070","display_name":"Brown University","ror":"https://ror.org/05gq02987"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W79980520","https://openalex.org/W837422817","https://openalex.org/W1513598648","https://openalex.org/W1521454588","https://openalex.org/W1635622277","https://openalex.org/W1646409403","https://openalex.org/W1963652538","https://openalex.org/W1964509314","https://openalex.org/W1965134668","https://openalex.org/W1965502068","https://openalex.org/W1968642437","https://openalex.org/W1976683619","https://openalex.org/W1982337795","https://openalex.org/W1982961238","https://openalex.org/W1985037379","https://openalex.org/W1988754720","https://openalex.org/W1992906507","https://openalex.org/W1997146198","https://openalex.org/W2000068428","https://openalex.org/W2007567241","https://openalex.org/W2014560804","https://openalex.org/W2021041911","https://openalex.org/W2021950678","https://openalex.org/W2030839449","https://openalex.org/W2033341607","https://openalex.org/W2035397676","https://openalex.org/W2036138588","https://openalex.org/W2041060141","https://openalex.org/W2042290430","https://openalex.org/W2046114486","https://openalex.org/W2054420328","https://openalex.org/W2061170279","https://openalex.org/W2061976174","https://openalex.org/W2073390622","https://openalex.org/W2076077791","https://openalex.org/W2077651848","https://openalex.org/W2078167885","https://openalex.org/W2078625098","https://openalex.org/W2087474285","https://openalex.org/W2090552985","https://openalex.org/W2103606462","https://openalex.org/W2104605632","https://openalex.org/W2118841251","https://openalex.org/W2119671975","https://openalex.org/W2125950010","https://openalex.org/W2132750928","https://openalex.org/W2136698907","https://openalex.org/W2144974949","https://openalex.org/W2145107531","https://openalex.org/W2146245558","https://openalex.org/W2156652224","https://openalex.org/W2166590326","https://openalex.org/W2168452607","https://openalex.org/W2169437869","https://openalex.org/W2410611469","https://openalex.org/W3149345339","https://openalex.org/W4239114676","https://openalex.org/W4250002170"],"related_works":["https://openalex.org/W2738351852","https://openalex.org/W1131942522","https://openalex.org/W1986396960","https://openalex.org/W4289766384","https://openalex.org/W2478215694","https://openalex.org/W2503543076","https://openalex.org/W2735403536","https://openalex.org/W4285741164","https://openalex.org/W2118841251","https://openalex.org/W2091205541"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}