{"id":"https://openalex.org/W4405659230","doi":"https://doi.org/10.1007/s00211-025-01522-2","title":"Convergence of a hyperbolic thermodynamically compatible finite volume scheme for the Euler equations","display_name":"Convergence of a hyperbolic thermodynamically compatible finite volume scheme for the Euler equations","publication_year":2025,"publication_date":"2025-12-20","ids":{"openalex":"https://openalex.org/W4405659230","doi":"https://doi.org/10.1007/s00211-025-01522-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-025-01522-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-025-01522-2","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2412.15730","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051559583","display_name":"Michael Dumbser","orcid":"https://orcid.org/0000-0002-8201-8372"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Michael Dumbser","raw_affiliation_strings":["Department of Civil, Environmental and Mechanical Engineering, University of Trento, Via Mesiano 77, Trento, I-38123, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Civil, Environmental and Mechanical Engineering, University of Trento, Via Mesiano 77, Trento, I-38123, Italy","institution_ids":["https://openalex.org/I193223587"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077357327","display_name":"M\u00e1ria Luk\u00e1\u010dov\u00e1\u2013Medvid\u2019ov\u00e1","orcid":"https://orcid.org/0000-0002-4351-0161"},"institutions":[{"id":"https://openalex.org/I197323543","display_name":"Johannes Gutenberg University Mainz","ror":"https://ror.org/023b0x485","country_code":"DE","type":"education","lineage":["https://openalex.org/I197323543"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M\u00e1ria Luk\u00e1\u010dov\u00e1-Medvid\u2019ov\u00e1","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Johannes-Gutenberg Universit\u00e4t Mainz, Staudingerweg 9, Mainz, D-55099, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Johannes-Gutenberg Universit\u00e4t Mainz, Staudingerweg 9, Mainz, D-55099, Germany","institution_ids":["https://openalex.org/I197323543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075033730","display_name":"Andrea Thomann","orcid":"https://orcid.org/0000-0001-9195-0404"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I68947357","display_name":"Universit\u00e9 de Strasbourg","ror":"https://ror.org/00pg6eq24","country_code":"FR","type":"education","lineage":["https://openalex.org/I68947357"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Andrea Thomann","raw_affiliation_strings":["Universit\u00e9 de Strasbourg, CNRS, Inria, IRMA, Strasbourg, F-67000, France","MACARON - Apprentissage automatique pour des m\u00e9thodes num\u00e9riques optimis\u00e9es (Centre Inria de l'Universit\u00e9 de Lorraine , 615 Rue du Jardin-Botanique, 54600 Villers-l\u00e8s-Nancy - France)"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Strasbourg, CNRS, Inria, IRMA, Strasbourg, F-67000, France","institution_ids":["https://openalex.org/I68947357","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"MACARON - Apprentissage automatique pour des m\u00e9thodes num\u00e9riques optimis\u00e9es (Centre Inria de l'Universit\u00e9 de Lorraine , 615 Rue du Jardin-Botanique, 54600 Villers-l\u00e8s-Nancy - France)","institution_ids":["https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075033730"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I68947357","https://openalex.org/I90183372"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00230409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"158","issue":"2","first_page":"715","last_page":"747"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9958999752998352,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9958999752998352,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9916999936103821,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9861999750137329,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6776683926582336},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.6176347136497498},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5729671120643616},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5662178993225098},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5480761528015137},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5434262752532959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.516639769077301},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4495120346546173},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.20338007807731628},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18273255228996277},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11542680859565735}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6776683926582336},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.6176347136497498},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5729671120643616},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5662178993225098},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5480761528015137},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5434262752532959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.516639769077301},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4495120346546173},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.20338007807731628},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18273255228996277},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11542680859565735},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00211-025-01522-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-025-01522-2","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"},{"id":"pmh:oai:arXiv.org:2412.15730","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.15730","pdf_url":"https://arxiv.org/pdf/2412.15730","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:HAL:hal-04850839v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04850839","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, 2025, ⟨10.1007/s00211-025-01522-2⟩","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.2412.15730","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2412.15730","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2412.15730","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2412.15730","pdf_url":"https://arxiv.org/pdf/2412.15730","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1145458839","display_name":null,"funder_award_id":"PRIN 2022","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G1774005140","display_name":null,"funder_award_id":"L. 232/2016","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2619993990","display_name":null,"funder_award_id":"PRIN 2022","funder_id":"https://openalex.org/F4320317295","funder_display_name":"Dipartimenti di Eccellenza"},{"id":"https://openalex.org/G2739175211","display_name":null,"funder_award_id":"L. 232/2016","funder_id":"https://openalex.org/F4320322275","funder_display_name":"Universit\u00e0 degli Studi di Trento"},{"id":"https://openalex.org/G3044548687","display_name":null,"funder_award_id":"SPP 2410","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3232168454","display_name":null,"funder_award_id":"ERC-ADG-2021-101052956-BEYOND","funder_id":"https://openalex.org/F4320322275","funder_display_name":"Universit\u00e0 degli Studi di Trento"},{"id":"https://openalex.org/G3942947494","display_name":null,"funder_award_id":"233630050","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4782145413","display_name":null,"funder_award_id":"L. 232/2016","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G490430286","display_name":null,"funder_award_id":"PRIN 2022","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G5106512922","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5245466801","display_name":null,"funder_award_id":"PRIN 2022","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G5329322851","display_name":null,"funder_award_id":"232/2016","funder_id":"https://openalex.org/F4320317295","funder_display_name":"Dipartimenti di Eccellenza"},{"id":"https://openalex.org/G5402925694","display_name":null,"funder_award_id":"TRR 146","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5417130124","display_name":null,"funder_award_id":"232/2016","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G5575399030","display_name":null,"funder_award_id":"525800857","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5782300237","display_name":null,"funder_award_id":"ERC-ADG-2021-101052956-BEYOND","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6752627479","display_name":null,"funder_award_id":"L. 232/2016","funder_id":"https://openalex.org/F4320317295","funder_display_name":"Dipartimenti di Eccellenza"},{"id":"https://openalex.org/G7009515831","display_name":"Beyond hyperelasticity: a virgin land of extreme materials","funder_award_id":"101052956","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7915489987","display_name":null,"funder_award_id":"L. 232","funder_id":"https://openalex.org/F4320317295","funder_display_name":"Dipartimenti di Eccellenza"},{"id":"https://openalex.org/G8051717526","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8091430692","display_name":null,"funder_award_id":"(MIUR)","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320317295","display_name":"Dipartimenti di Eccellenza","ror":null},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320322275","display_name":"Universit\u00e0 degli Studi di Trento","ror":"https://ror.org/05trd4x28"},{"id":"https://openalex.org/F4320322907","display_name":"Gutenberg Forschungskolleg","ror":"https://ror.org/023b0x485"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W2105887828","https://openalex.org/W2382971237","https://openalex.org/W2528714729","https://openalex.org/W2931831557","https://openalex.org/W2563697776","https://openalex.org/W3124634719","https://openalex.org/W4300998095","https://openalex.org/W1498128986","https://openalex.org/W2388608635"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2024-12-21T00:00:00"}