{"id":"https://openalex.org/W2004936316","doi":"https://doi.org/10.1007/s10915-014-9938-6","title":"Quasi-A Priori Truncation Error Estimation in the DGSEM","display_name":"Quasi-A Priori Truncation Error Estimation in the DGSEM","publication_year":2014,"publication_date":"2014-10-30","ids":{"openalex":"https://openalex.org/W2004936316","doi":"https://doi.org/10.1007/s10915-014-9938-6","mag":"2004936316"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-014-9938-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-014-9938-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://oa.upm.es/40264/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026793328","display_name":"Gonzalo Rubio","orcid":"https://orcid.org/0000-0002-6231-4801"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Gonzalo Rubio","raw_affiliation_strings":["E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, 28040, Madrid, Spain","E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, Madrid, Spain 28040#TAB#"],"affiliations":[{"raw_affiliation_string":"E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, Madrid, Spain 28040#TAB#","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084780736","display_name":"Fran\u00e7ois Fraysse","orcid":"https://orcid.org/0000-0001-7204-2478"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Fraysse","raw_affiliation_strings":["E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, 28040, Madrid, Spain","E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, Madrid, Spain 28040#TAB#"],"affiliations":[{"raw_affiliation_string":"E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, Madrid, Spain 28040#TAB#","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072099027","display_name":"David A. Kopriva","orcid":"https://orcid.org/0000-0002-8076-0856"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David A. Kopriva","raw_affiliation_strings":["Department of Mathematics, The Florida State University, Tallahassee, FL, 32312, USA","Department of Mathematics, The Florida State University, Tallahassee, USA 32312#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Florida State University, Tallahassee, FL, 32312, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Department of Mathematics, The Florida State University, Tallahassee, USA 32312#TAB#","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060292830","display_name":"Eusebio Valero","orcid":"https://orcid.org/0000-0002-1627-6883"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Eusebio Valero","raw_affiliation_strings":["E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, 28040, Madrid, Spain","E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, Madrid, Spain 28040#TAB#"],"affiliations":[{"raw_affiliation_string":"E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"E.T.S.I. Aeron\u00e1uticos, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria, Madrid, Spain 28040#TAB#","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026793328"],"corresponding_institution_ids":["https://openalex.org/I88060688"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9656,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.74179352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"64","issue":"2","first_page":"425","last_page":"455"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.8014500141143799},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7338767051696777},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7163792848587036},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6288464069366455},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5888808369636536},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5626459121704102},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.560310423374176},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5176715850830078},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4813135862350464},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4553341269493103},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.431729257106781},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4209933280944824},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.399606853723526},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34278786182403564},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.34088942408561707},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24127879738807678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1762956976890564},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14034047722816467},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13324591517448425}],"concepts":[{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.8014500141143799},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7338767051696777},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7163792848587036},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6288464069366455},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5888808369636536},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5626459121704102},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.560310423374176},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5176715850830078},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4813135862350464},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4553341269493103},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.431729257106781},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4209933280944824},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.399606853723526},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34278786182403564},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.34088942408561707},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24127879738807678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1762956976890564},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14034047722816467},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13324591517448425},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10915-014-9938-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-014-9938-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:oa.upm.es:40264","is_oa":false,"landing_page_url":"https://oa.upm.es/40264/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402421","display_name":"Archivo Digital UPM (Universidad Polit\u00e9cnica de Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I88060688","host_organization_name":"Universidad Polit\u00e9cnica de Madrid","host_organization_lineage":["https://openalex.org/I88060688"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Journal of Scientific Computing, ISSN 0885-7474, 2014-10-31, Vol. 64, No. 2","raw_type":"info:eu-repo/semantics/acceptedVersion"},{"id":"pmh:oai:dnet:archivodigit::7a146c3a11512151fb7931d7a2871060","is_oa":true,"landing_page_url":"http://oa.upm.es/40264/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"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":"Journal of Scientific Computing, ISSN 0885-7474, 2014-10-31, Vol. 64, No. 2","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:archivodigit::7a146c3a11512151fb7931d7a2871060","is_oa":true,"landing_page_url":"http://oa.upm.es/40264/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"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":"Journal of Scientific Computing, ISSN 0885-7474, 2014-10-31, Vol. 64, No. 2","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W37180621","https://openalex.org/W49087508","https://openalex.org/W96335314","https://openalex.org/W114707485","https://openalex.org/W837422817","https://openalex.org/W1523714122","https://openalex.org/W1537224157","https://openalex.org/W1549748890","https://openalex.org/W1565967305","https://openalex.org/W1583515859","https://openalex.org/W1583892864","https://openalex.org/W1600997507","https://openalex.org/W1607663648","https://openalex.org/W1627568958","https://openalex.org/W1649749538","https://openalex.org/W1964912593","https://openalex.org/W1966179614","https://openalex.org/W1969915246","https://openalex.org/W1971879059","https://openalex.org/W1972913494","https://openalex.org/W1986328299","https://openalex.org/W1995603439","https://openalex.org/W2002073502","https://openalex.org/W2005500071","https://openalex.org/W2005728335","https://openalex.org/W2010357541","https://openalex.org/W2014432353","https://openalex.org/W2018572478","https://openalex.org/W2025151408","https://openalex.org/W2026874830","https://openalex.org/W2031567600","https://openalex.org/W2036490127","https://openalex.org/W2045296893","https://openalex.org/W2053996530","https://openalex.org/W2065312184","https://openalex.org/W2066985111","https://openalex.org/W2072940853","https://openalex.org/W2079401713","https://openalex.org/W2081821137","https://openalex.org/W2085961649","https://openalex.org/W2104888489","https://openalex.org/W2118065331","https://openalex.org/W2134844025","https://openalex.org/W2139345640","https://openalex.org/W2145421992","https://openalex.org/W2149493559","https://openalex.org/W2164036656","https://openalex.org/W2189000259","https://openalex.org/W2313644706","https://openalex.org/W2323930467","https://openalex.org/W2334480697","https://openalex.org/W2410611469","https://openalex.org/W2466218146","https://openalex.org/W2913078113","https://openalex.org/W3101434044","https://openalex.org/W4205236375","https://openalex.org/W4214751139","https://openalex.org/W4239114676","https://openalex.org/W4247375400","https://openalex.org/W4251197584"],"related_works":["https://openalex.org/W280651834","https://openalex.org/W2912940379","https://openalex.org/W2001376792","https://openalex.org/W2010894337","https://openalex.org/W2021397777","https://openalex.org/W4237539667","https://openalex.org/W130791004","https://openalex.org/W1989698060","https://openalex.org/W2027481497","https://openalex.org/W2362793004"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
