{"id":"https://openalex.org/W2149194593","doi":"https://doi.org/10.1007/s00211-007-0104-z","title":"A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance","display_name":"A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance","publication_year":2007,"publication_date":"2007-08-30","ids":{"openalex":"https://openalex.org/W2149194593","doi":"https://doi.org/10.1007/s00211-007-0104-z","mag":"2149194593"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-007-0104-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-007-0104-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5007705306","display_name":"R. M. Samelson","orcid":"https://orcid.org/0000-0003-3571-9851"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roger Samelson","raw_affiliation_strings":["College of Oceanic and Atmospheric Sciences, Oregon State University, Corvallis, OR, 97331-5503, USA"],"affiliations":[{"raw_affiliation_string":"College of Oceanic and Atmospheric Sciences, Oregon State University, Corvallis, OR, 97331-5503, USA","institution_ids":["https://openalex.org/I131249849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074156162","display_name":"Roger T\u00e9mam","orcid":"https://orcid.org/0000-0003-1927-4805"},"institutions":[{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roger Temam","raw_affiliation_strings":["Institute for Scientific Computing and Applied Mathematics & Department of Mathematics, Indiana University, Bloomington, IN, 47405-5701, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Scientific Computing and Applied Mathematics & Department of Mathematics, Indiana University, Bloomington, IN, 47405-5701, USA","institution_ids":["https://openalex.org/I4210119109"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101698398","display_name":"Cheng Wang","orcid":"https://orcid.org/0009-0006-8279-3973"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Cheng Wang","raw_affiliation_strings":["Department of Mathematics, University of Tennessee, Knoxville, TN, 37996-1300, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Tennessee, Knoxville, TN, 37996-1300, USA","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037473555","display_name":"Shouhong Wang","orcid":"https://orcid.org/0000-0002-4634-8833"},"institutions":[{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shouhong Wang","raw_affiliation_strings":["Institute for Scientific Computing and Applied Mathematics & Department of Mathematics, Indiana University, Bloomington, IN, 47405-5701, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Scientific Computing and Applied Mathematics & Department of Mathematics, Indiana University, Bloomington, IN, 47405-5701, USA","institution_ids":["https://openalex.org/I4210119109"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101698398"],"corresponding_institution_ids":["https://openalex.org/I75027704"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4554,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.65334689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"107","issue":"4","first_page":"669","last_page":"705"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9962000250816345,"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/T10029","display_name":"Climate variability and models","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inviscid-flow","display_name":"Inviscid flow","score":0.8267190456390381},{"id":"https://openalex.org/keywords/geostrophic-wind","display_name":"Geostrophic wind","score":0.7723910212516785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6672748923301697},{"id":"https://openalex.org/keywords/order-of-accuracy","display_name":"Order of accuracy","score":0.5191875696182251},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.49153169989585876},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47808289527893066},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4672505855560303},{"id":"https://openalex.org/keywords/richardson-extrapolation","display_name":"Richardson extrapolation","score":0.4575954079627991},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.449567973613739},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.28358161449432373},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2258433699607849},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19104230403900146},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17650920152664185},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.13839149475097656}],"concepts":[{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.8267190456390381},{"id":"https://openalex.org/C133877212","wikidata":"https://www.wikidata.org/wiki/Q929043","display_name":"Geostrophic wind","level":2,"score":0.7723910212516785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6672748923301697},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.5191875696182251},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.49153169989585876},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47808289527893066},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4672505855560303},{"id":"https://openalex.org/C102893441","wikidata":"https://www.wikidata.org/wiki/Q1063089","display_name":"Richardson extrapolation","level":3,"score":0.4575954079627991},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.449567973613739},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.28358161449432373},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2258433699607849},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19104230403900146},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17650920152664185},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.13839149475097656},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-007-0104-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-007-0104-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W588707587","https://openalex.org/W1505500751","https://openalex.org/W1595112045","https://openalex.org/W1966158133","https://openalex.org/W1971238557","https://openalex.org/W1976977540","https://openalex.org/W1978241036","https://openalex.org/W1990257119","https://openalex.org/W1990975897","https://openalex.org/W1996594743","https://openalex.org/W2009175884","https://openalex.org/W2013546773","https://openalex.org/W2040211481","https://openalex.org/W2048234937","https://openalex.org/W2052893631","https://openalex.org/W2061170279","https://openalex.org/W2070675637","https://openalex.org/W2076582418","https://openalex.org/W2079994134","https://openalex.org/W2087713640","https://openalex.org/W2088249411","https://openalex.org/W2093612697","https://openalex.org/W2099161655","https://openalex.org/W2099916254","https://openalex.org/W2112287406","https://openalex.org/W2114972463","https://openalex.org/W2173480936","https://openalex.org/W2174782338","https://openalex.org/W4211073650","https://openalex.org/W4307237617"],"related_works":["https://openalex.org/W3098052860","https://openalex.org/W4286796489","https://openalex.org/W4289121778","https://openalex.org/W2350921643","https://openalex.org/W2351638510","https://openalex.org/W2348933902","https://openalex.org/W2623501933","https://openalex.org/W2145165454","https://openalex.org/W2007194406","https://openalex.org/W3186026530"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
