{"id":"https://openalex.org/W1733793893","doi":"https://doi.org/10.1007/978-3-319-02297-0_4","title":"On Consistency of Finite Difference Approximations to the Navier-Stokes Equations","display_name":"On Consistency of Finite Difference Approximations to the Navier-Stokes Equations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1733793893","doi":"https://doi.org/10.1007/978-3-319-02297-0_4","mag":"1733793893"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-02297-0_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-02297-0_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5076074001","display_name":"Pierluigi Amodio","orcid":"https://orcid.org/0000-0003-3372-0162"},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Pierluigi Amodio","raw_affiliation_strings":["Department of Mathematics, University of Bari, Bari, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bari, Bari, Italy","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084860291","display_name":"Yu. A. Blinkov","orcid":"https://orcid.org/0000-0001-7340-0919"},"institutions":[{"id":"https://openalex.org/I125219893","display_name":"Saratov State University","ror":"https://ror.org/05jcsqx24","country_code":"RU","type":"education","lineage":["https://openalex.org/I125219893"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yuri Blinkov","raw_affiliation_strings":["Department of Mathematics and Mechanics, Saratov State University, Saratov, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, Saratov State University, Saratov, Russia","institution_ids":["https://openalex.org/I125219893"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065468649","display_name":"Vladimir P. Gerdt","orcid":"https://orcid.org/0000-0002-0825-1811"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir Gerdt","raw_affiliation_strings":["Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia","Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia"],"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049840696","display_name":"Roberto La Scala","orcid":"https://orcid.org/0000-0001-7468-0051"},"institutions":[{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto La Scala","raw_affiliation_strings":["Department of Mathematics, University of Bari, Bari, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bari, Bari, Italy","institution_ids":["https://openalex.org/I5561750"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5076074001"],"corresponding_institution_ids":["https://openalex.org/I5561750"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.7792,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.93442623,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"46","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","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/T12727","display_name":"Differential Equations and Numerical Methods","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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"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":0.9983999729156494,"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/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.7461926341056824},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.6538207530975342},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.651189386844635},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6316224932670593},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.6090312600135803},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.5518451929092407},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46579015254974365},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43658170104026794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4318120777606964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3256007432937622},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3203117847442627},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.28901469707489014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13270622491836548},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12237265706062317},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.05302974581718445}],"concepts":[{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.7461926341056824},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.6538207530975342},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.651189386844635},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6316224932670593},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.6090312600135803},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.5518451929092407},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46579015254974365},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43658170104026794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4318120777606964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3256007432937622},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3203117847442627},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.28901469707489014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13270622491836548},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12237265706062317},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.05302974581718445}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-02297-0_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-02297-0_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.746.1243","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.746.1243","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1307.0914.pdf","raw_type":"text"},{"id":"pmh:oai:ricerca.uniba.it:11586/116648","is_oa":false,"landing_page_url":"http://hdl.handle.net/11586/116648","pdf_url":null,"source":{"id":"https://openalex.org/S4377196296","display_name":"CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5561750","host_organization_name":"University of Bari Aldo Moro","host_organization_lineage":["https://openalex.org/I5561750"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W64656188","https://openalex.org/W1505039103","https://openalex.org/W1518341038","https://openalex.org/W1554059926","https://openalex.org/W1595843857","https://openalex.org/W1644218357","https://openalex.org/W1974863326","https://openalex.org/W1990626218","https://openalex.org/W2038785086","https://openalex.org/W2065989671","https://openalex.org/W2081719509","https://openalex.org/W2089290664","https://openalex.org/W2090556056","https://openalex.org/W2100904736","https://openalex.org/W2120912731","https://openalex.org/W2149584211","https://openalex.org/W2319466955","https://openalex.org/W2482071863","https://openalex.org/W2964129048","https://openalex.org/W3037693322","https://openalex.org/W4205604664","https://openalex.org/W4231300832","https://openalex.org/W4232970652","https://openalex.org/W4234642783","https://openalex.org/W4285719527","https://openalex.org/W4300761662"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1975234065","https://openalex.org/W2056334836","https://openalex.org/W4283652870","https://openalex.org/W2019535326","https://openalex.org/W2008508362","https://openalex.org/W2085654163","https://openalex.org/W2951151768","https://openalex.org/W1733793893","https://openalex.org/W2044521795"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}