{"id":"https://openalex.org/W1644218357","doi":"https://doi.org/10.1007/978-3-642-04103-7_10","title":"Involution and Difference Schemes for the Navier\u2013Stokes Equations","display_name":"Involution and Difference Schemes for the Navier\u2013Stokes Equations","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1644218357","doi":"https://doi.org/10.1007/978-3-642-04103-7_10","mag":"1644218357"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-04103-7_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04103-7_10","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/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":true,"raw_author_name":"Vladimir P. Gerdt","raw_affiliation_strings":["Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia","Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia 141980#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia 141980#TAB#","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"last","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 A. Blinkov","raw_affiliation_strings":["Department of Mathematics and Mechanics, Saratov State University, Saratov, Russia","Department of Mathematics and Mechanics, Saratov State University, Saratov, Russia 410012#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, Saratov State University, Saratov, Russia","institution_ids":["https://openalex.org/I125219893"]},{"raw_affiliation_string":"Department of Mathematics and Mechanics, Saratov State University, Saratov, Russia 410012#TAB#","institution_ids":["https://openalex.org/I125219893"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065468649"],"corresponding_institution_ids":["https://openalex.org/I32699454"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":10.5844,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.97975078,"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":"94","last_page":"105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"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":0.9991999864578247,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9986000061035156,"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":0.9973000288009644,"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/stencil","display_name":"Stencil","score":0.8308880925178528},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6762018203735352},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6711328029632568},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.539936900138855},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5377656817436218},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5099571943283081},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.4883577525615692},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.48325949907302856},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4551953077316284},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4513590931892395},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4260328710079193},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3500099182128906},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11280041933059692},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06464818120002747}],"concepts":[{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.8308880925178528},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6762018203735352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6711328029632568},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.539936900138855},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5377656817436218},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5099571943283081},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.4883577525615692},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.48325949907302856},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4551953077316284},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4513590931892395},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4260328710079193},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3500099182128906},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11280041933059692},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06464818120002747},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-04103-7_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04103-7_10","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W622632975","https://openalex.org/W1907976233","https://openalex.org/W1966158133","https://openalex.org/W1990626218","https://openalex.org/W2051046060","https://openalex.org/W2073732659","https://openalex.org/W2090556056","https://openalex.org/W2120912731","https://openalex.org/W3103827386","https://openalex.org/W4231300832","https://openalex.org/W4234642783"],"related_works":["https://openalex.org/W2118841251","https://openalex.org/W2330640442","https://openalex.org/W4223576334","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W4251142058","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W1988071029","https://openalex.org/W1965041963"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}