{"id":"https://openalex.org/W2083955159","doi":"https://doi.org/10.1137/05063074x","title":"A Small Eddy Correction Method for a 3D Navier\u2013Stokes-Type System of Equations Related to the Primitive Equations of the Ocean","display_name":"A Small Eddy Correction Method for a 3D Navier\u2013Stokes-Type System of Equations Related to the Primitive Equations of the Ocean","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2083955159","doi":"https://doi.org/10.1137/05063074x","mag":"2083955159"},"language":"en","primary_location":{"id":"doi:10.1137/05063074x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/05063074x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5038797984","display_name":"T. Tachim Medjo","orcid":"https://orcid.org/0000-0002-2824-6841"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"T. Tachim Medjo","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038797984"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6294,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71533109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"45","issue":"5","first_page":"1843","last_page":"1870"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10255","display_name":"Oceanographic and Atmospheric Processes","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10255","display_name":"Oceanographic and Atmospheric Processes","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11459","display_name":"Arctic and Antarctic ice dynamics","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/barotropic-fluid","display_name":"Barotropic fluid","score":0.8975843191146851},{"id":"https://openalex.org/keywords/baroclinity","display_name":"Baroclinity","score":0.7074273824691772},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6959018111228943},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5959654450416565},{"id":"https://openalex.org/keywords/primitive-equations","display_name":"Primitive equations","score":0.5403194427490234},{"id":"https://openalex.org/keywords/geostrophic-wind","display_name":"Geostrophic wind","score":0.5159035921096802},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4638875126838684},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.452700138092041},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.45045074820518494},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4294845163822174},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3999045491218567},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19708019495010376},{"id":"https://openalex.org/keywords/simultaneous-equations","display_name":"Simultaneous equations","score":0.17179158329963684},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11668309569358826},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.10556340217590332},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.09106701612472534}],"concepts":[{"id":"https://openalex.org/C29712183","wikidata":"https://www.wikidata.org/wiki/Q739293","display_name":"Barotropic fluid","level":2,"score":0.8975843191146851},{"id":"https://openalex.org/C53631411","wikidata":"https://www.wikidata.org/wiki/Q1548585","display_name":"Baroclinity","level":2,"score":0.7074273824691772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6959018111228943},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5959654450416565},{"id":"https://openalex.org/C182692853","wikidata":"https://www.wikidata.org/wiki/Q2386647","display_name":"Primitive equations","level":4,"score":0.5403194427490234},{"id":"https://openalex.org/C133877212","wikidata":"https://www.wikidata.org/wiki/Q929043","display_name":"Geostrophic wind","level":2,"score":0.5159035921096802},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4638875126838684},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.452700138092041},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.45045074820518494},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4294845163822174},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3999045491218567},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19708019495010376},{"id":"https://openalex.org/C170036204","wikidata":"https://www.wikidata.org/wiki/Q735660","display_name":"Simultaneous equations","level":3,"score":0.17179158329963684},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11668309569358826},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.10556340217590332},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.09106701612472534},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/05063074x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/05063074x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","display_name":"Life below water","score":0.8799999952316284}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1756809107","https://openalex.org/W2012116957","https://openalex.org/W2015229617","https://openalex.org/W2020359153","https://openalex.org/W2023743841","https://openalex.org/W2036562590","https://openalex.org/W2037044940","https://openalex.org/W2040211481","https://openalex.org/W2044450196","https://openalex.org/W2062860872","https://openalex.org/W2082931622","https://openalex.org/W2084329574","https://openalex.org/W2089022229","https://openalex.org/W2125790042","https://openalex.org/W2131672543","https://openalex.org/W2145531179","https://openalex.org/W2148797843","https://openalex.org/W2164494944","https://openalex.org/W2171665936","https://openalex.org/W2271170716","https://openalex.org/W4231178963","https://openalex.org/W4239815018"],"related_works":["https://openalex.org/W2968204227","https://openalex.org/W2083929944","https://openalex.org/W1982761202","https://openalex.org/W939762502","https://openalex.org/W1963883189","https://openalex.org/W2950028261","https://openalex.org/W2365403692","https://openalex.org/W2325760275","https://openalex.org/W3144258871","https://openalex.org/W2084329574"],"abstract_inverted_index":{"Considering":[0],"the":[1,4,11,14,29,33,38,42,48,53,66,71,81,85,93,96,105,110,114,121,129,133,142],"interaction":[2],"between":[3],"baroclinic":[5,54],"and":[6,9,26,80,118],"barotropic":[7,39],"flows":[8],"using":[10],"idea":[12],"of":[13,32,95,123,128,132],"Newton":[15,49],"iteration,":[16],"a":[17,126],"small":[18,86],"eddy":[19,87],"correction":[20,88],"method":[21,89],"is":[22,44,63,78],"proposed":[23],"for":[24],"approximating":[25],"numerically":[27],"solving":[28],"primitive":[30,116],"equations":[31],"ocean.":[34],"We":[35],"assume":[36],"that":[37,65,84,104],"approximation":[40],"to":[41,52,70,113,140],"solution":[43],"known.":[45],"Formally":[46],"applying":[47],"iterative":[50],"procedure":[51,111],"flow":[55],"equation,":[56],"we":[57,102,119],"then":[58],"generate":[59],"approximate":[60,98,106],"systems.":[61],"It":[62],"shown":[64],"first":[67],"step":[68],"leads":[69],"well-known":[72],"quasi-geostrophic":[73,97],"equations.":[74],"The":[75],"convergence":[76,124],"analysis":[77],"presented":[79,139],"results":[82],"show":[83],"can":[90],"greatly":[91],"improve":[92],"accuracy":[94],"solution.":[99],"More":[100],"precisely,":[101],"prove":[103],"system":[107],"derived":[108],"from":[109],"converges":[112],"original":[115],"equations,":[117],"estimate":[120],"rate":[122],"as":[125],"function":[127],"aspect":[130],"ratio":[131],"domain.":[134],"Some":[135],"numerical":[136],"simulations":[137],"are":[138],"illustrate":[141],"method.":[143]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}