{"id":"https://openalex.org/W1991647264","doi":"https://doi.org/10.1016/j.jcp.2010.07.004","title":"A comparison of high-order time integrators for thermal convection in rotating spherical shells","display_name":"A comparison of high-order time integrators for thermal convection in rotating spherical shells","publication_year":2010,"publication_date":"2010-07-09","ids":{"openalex":"https://openalex.org/W1991647264","doi":"https://doi.org/10.1016/j.jcp.2010.07.004","mag":"1991647264"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2010.07.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2010.07.004","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2117/8815","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052683481","display_name":"Ferran Garcia","orcid":"https://orcid.org/0000-0003-4507-0486"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. Garcia","raw_affiliation_strings":["Departamento de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona Salgado s/n, Campus Nord. M\u00f2dul B4, 08034 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona Salgado s/n, Campus Nord. M\u00f2dul B4, 08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074045082","display_name":"M. Net","orcid":"https://orcid.org/0000-0002-8034-1854"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Net","raw_affiliation_strings":["Departamento de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona Salgado s/n, Campus Nord. M\u00f2dul B4, 08034 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona Salgado s/n, Campus Nord. M\u00f2dul B4, 08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036192142","display_name":"Bosco Garc\u0131\u0301a-Archilla","orcid":"https://orcid.org/0000-0002-4503-8972"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"B. Garc\u00eda-Archilla","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Escuela Superior de Ingenieros, Camino de los Descubrimientos, s/n, 41092 Sevilla, Spain","Departamento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Escuela Superior de Ingenieros, Camino de los Descubrimientos, s/n 41092 Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Escuela Superior de Ingenieros, Camino de los Descubrimientos, s/n, 41092 Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada II, Universidad de Sevilla, Escuela Superior de Ingenieros, Camino de los Descubrimientos, s/n 41092 Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074218962","display_name":"J. S\u00e1nchez","orcid":"https://orcid.org/0000-0002-3271-8012"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"J. S\u00e1nchez","raw_affiliation_strings":["Departamento de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona Salgado s/n, Campus Nord. M\u00f2dul B4, 08034 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona Salgado s/n, Campus Nord. M\u00f2dul B4, 08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074218962"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":1.788,"has_fulltext":true,"cited_by_count":50,"citation_normalized_percentile":{"value":0.82694814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"229","issue":"20","first_page":"7997","last_page":"8010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9994000196456909,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994000196456909,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9872999787330627,"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/integrator","display_name":"Integrator","score":0.6999713182449341},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.681333065032959},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6593192219734192},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.563417375087738},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5212050676345825},{"id":"https://openalex.org/keywords/backward-differentiation-formula","display_name":"Backward differentiation formula","score":0.5015401840209961},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.4789167642593384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45915713906288147},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4493187665939331},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.4338865876197815},{"id":"https://openalex.org/keywords/richardson-extrapolation","display_name":"Richardson extrapolation","score":0.41195178031921387},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3449421525001526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33094722032546997},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3018912076950073},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.2763911485671997},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2578110694885254},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.14605525135993958},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.09473881125450134},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.0859072208404541},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.08502119779586792}],"concepts":[{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6999713182449341},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.681333065032959},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6593192219734192},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.563417375087738},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5212050676345825},{"id":"https://openalex.org/C152522140","wikidata":"https://www.wikidata.org/wiki/Q795746","display_name":"Backward differentiation formula","level":5,"score":0.5015401840209961},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.4789167642593384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45915713906288147},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4493187665939331},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4338865876197815},{"id":"https://openalex.org/C102893441","wikidata":"https://www.wikidata.org/wiki/Q1063089","display_name":"Richardson extrapolation","level":3,"score":0.41195178031921387},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3449421525001526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33094722032546997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3018912076950073},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2763911485671997},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2578110694885254},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.14605525135993958},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.09473881125450134},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.0859072208404541},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.08502119779586792},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.jcp.2010.07.004","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2010.07.004","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/8815","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/8815","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:www.recercat.cat:2072/190778","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/8815","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/submittedVersion"}],"best_oa_location":{"id":"pmh:oai:upcommons.upc.edu:2117/8815","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/8815","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[{"score":0.6100000143051147,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334830","display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca","ror":"https://ror.org/01n4pqe45"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W79104108","https://openalex.org/W1506342804","https://openalex.org/W1509923322","https://openalex.org/W1597944220","https://openalex.org/W1805381866","https://openalex.org/W1969426834","https://openalex.org/W1971183091","https://openalex.org/W1981871852","https://openalex.org/W1992188998","https://openalex.org/W1994943303","https://openalex.org/W1995504856","https://openalex.org/W2000525071","https://openalex.org/W2002872383","https://openalex.org/W2003408966","https://openalex.org/W2007648118","https://openalex.org/W2014805088","https://openalex.org/W2042388195","https://openalex.org/W2058232818","https://openalex.org/W2059669287","https://openalex.org/W2071555048","https://openalex.org/W2072082455","https://openalex.org/W2072537659","https://openalex.org/W2073061372","https://openalex.org/W2077221255","https://openalex.org/W2079102785","https://openalex.org/W2102182691","https://openalex.org/W2123643035","https://openalex.org/W2126356313","https://openalex.org/W2126388052","https://openalex.org/W2131778920","https://openalex.org/W2137054842","https://openalex.org/W2139080848","https://openalex.org/W2140153041","https://openalex.org/W2155809947","https://openalex.org/W2408478130","https://openalex.org/W3168404227","https://openalex.org/W3207663632","https://openalex.org/W6796109077"],"related_works":["https://openalex.org/W1459866636","https://openalex.org/W1996574028","https://openalex.org/W2022890026","https://openalex.org/W2263119459","https://openalex.org/W2329721603","https://openalex.org/W2074256136","https://openalex.org/W4244999877","https://openalex.org/W2188762454","https://openalex.org/W1994184409","https://openalex.org/W2069206975"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}