{"id":"https://openalex.org/W2093827747","doi":"https://doi.org/10.1007/s00211-014-0654-9","title":"A Galerkin method with spherical splines for the shallow water equations on a sphere: error analysis","display_name":"A Galerkin method with spherical splines for the shallow water equations on a sphere: error analysis","publication_year":2014,"publication_date":"2014-06-26","ids":{"openalex":"https://openalex.org/W2093827747","doi":"https://doi.org/10.1007/s00211-014-0654-9","mag":"2093827747"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0654-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0654-9","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/A5074313015","display_name":"Ilya Tregubov","orcid":null},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"I. Tregubov","raw_affiliation_strings":["School of Mathematics and Statistics, The University of New South Wales, Sydney,  2052, Australia","School of Mathematics and Statistics, The University of New South Wales, Sydney, \u00a02052, Australia","School of Mathematics and Statistics, The University of New South Wales, Sydney, Australia 2052"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of New South Wales, Sydney,  2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Mathematics and Statistics, The University of New South Wales, Sydney, \u00a02052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Mathematics and Statistics, The University of New South Wales, Sydney, Australia 2052","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052916984","display_name":"Thanh Tran","orcid":"https://orcid.org/0000-0001-6117-4811"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"T. Tran","raw_affiliation_strings":["School of Mathematics and Statistics, The University of New South Wales, Sydney,  2052, Australia","School of Mathematics and Statistics, The University of New South Wales, Sydney, \u00a02052, Australia","School of Mathematics and Statistics, The University of New South Wales, Sydney, Australia 2052"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of New South Wales, Sydney,  2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Mathematics and Statistics, The University of New South Wales, Sydney, \u00a02052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Mathematics and Statistics, The University of New South Wales, Sydney, Australia 2052","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052916984","https://openalex.org/A5074313015"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13169219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"129","issue":"4","first_page":"783","last_page":"814"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9966999888420105,"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/mathematics","display_name":"Mathematics","score":0.8392675518989563},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.7242861986160278},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.6708713173866272},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6679462194442749},{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"Shallow water equations","score":0.5809922814369202},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5667635798454285},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.5387324690818787},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5248044729232788},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.506409764289856},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43278267979621887},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3277326226234436}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8392675518989563},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.7242861986160278},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.6708713173866272},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6679462194442749},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.5809922814369202},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5667635798454285},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.5387324690818787},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5248044729232788},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.506409764289856},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43278267979621887},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3277326226234436},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-014-0654-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0654-9","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":[{"score":0.46000000834465027,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W78668010","https://openalex.org/W99776242","https://openalex.org/W123519660","https://openalex.org/W1988578305","https://openalex.org/W1988604300","https://openalex.org/W1996574525","https://openalex.org/W2014688297","https://openalex.org/W2021970895","https://openalex.org/W2039748581","https://openalex.org/W2047827173","https://openalex.org/W2056550748","https://openalex.org/W2062451338","https://openalex.org/W2066074529","https://openalex.org/W2068594181","https://openalex.org/W2071681524","https://openalex.org/W2074135659","https://openalex.org/W2075210215","https://openalex.org/W2082621526","https://openalex.org/W2084497926","https://openalex.org/W2093033880","https://openalex.org/W2096488719","https://openalex.org/W2107631461","https://openalex.org/W2128377847","https://openalex.org/W2163348288","https://openalex.org/W2166050051","https://openalex.org/W2763693965","https://openalex.org/W4242273588","https://openalex.org/W4244886466","https://openalex.org/W4246316834","https://openalex.org/W4247094164"],"related_works":["https://openalex.org/W2120874885","https://openalex.org/W2389135180","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2016330536","https://openalex.org/W4323781213","https://openalex.org/W2040975642","https://openalex.org/W3101530895","https://openalex.org/W2082219078","https://openalex.org/W2118478556"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
