{"id":"https://openalex.org/W2010714961","doi":"https://doi.org/10.1007/s00211-002-0430-0","title":"Positive and Entropy Stable Godunov-type Schemes for Gas Dynamics and MHD Equations in Lagrangian or Eulerian Coordinates","display_name":"Positive and Entropy Stable Godunov-type Schemes for Gas Dynamics and MHD Equations in Lagrangian or Eulerian Coordinates","publication_year":2002,"publication_date":"2002-11-27","ids":{"openalex":"https://openalex.org/W2010714961","doi":"https://doi.org/10.1007/s00211-002-0430-0","mag":"2010714961"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-002-0430-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-002-0430-0","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/A5109274327","display_name":"G\u00e9rard Gallice","orcid":null},"institutions":[{"id":"https://openalex.org/I129235615","display_name":"CEA CESTA","ror":"https://ror.org/026ma2c10","country_code":"FR","type":"government","lineage":["https://openalex.org/I129235615","https://openalex.org/I4210101455"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"G\u00e9rard Gallice","raw_affiliation_strings":["CEA/CESTA, 33114, Le Barp, France","CEA/CESTA, Le Barp, France 33114#TAB#"],"affiliations":[{"raw_affiliation_string":"CEA/CESTA, 33114, Le Barp, France","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I129235615"]},{"raw_affiliation_string":"CEA/CESTA, Le Barp, France 33114#TAB#","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I129235615"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109274327"],"corresponding_institution_ids":["https://openalex.org/I129235615","https://openalex.org/I2738703131"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3841,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.79606183,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"94","issue":"4","first_page":"673","last_page":"713"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998000264167786,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9994000196456909,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9970999956130981,"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/riemann-problem","display_name":"Riemann problem","score":0.7283216714859009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7067014575004578},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.7047871351242065},{"id":"https://openalex.org/keywords/godunovs-scheme","display_name":"Godunov's scheme","score":0.6722797751426697},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.6449445486068726},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.6126027703285217},{"id":"https://openalex.org/keywords/lagrangian-and-eulerian-specification-of-the-flow-field","display_name":"Lagrangian and Eulerian specification of the flow field","score":0.5801525115966797},{"id":"https://openalex.org/keywords/riemann-solver","display_name":"Riemann solver","score":0.5215977430343628},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.506180465221405},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.49956727027893066},{"id":"https://openalex.org/keywords/roe-solver","display_name":"Roe solver","score":0.47881442308425903},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46691516041755676},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4571947157382965},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.4413270950317383},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3900619149208069},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.3518100380897522},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.2560998499393463},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.2517024874687195},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24920645356178284},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2164825201034546},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06731262803077698}],"concepts":[{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.7283216714859009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7067014575004578},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.7047871351242065},{"id":"https://openalex.org/C146705398","wikidata":"https://www.wikidata.org/wiki/Q4291826","display_name":"Godunov's scheme","level":3,"score":0.6722797751426697},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.6449445486068726},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.6126027703285217},{"id":"https://openalex.org/C89901390","wikidata":"https://www.wikidata.org/wiki/Q6418927","display_name":"Lagrangian and Eulerian specification of the flow field","level":4,"score":0.5801525115966797},{"id":"https://openalex.org/C120796332","wikidata":"https://www.wikidata.org/wiki/Q6153788","display_name":"Riemann solver","level":3,"score":0.5215977430343628},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.506180465221405},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.49956727027893066},{"id":"https://openalex.org/C171520575","wikidata":"https://www.wikidata.org/wiki/Q7357538","display_name":"Roe solver","level":4,"score":0.47881442308425903},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46691516041755676},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4571947157382965},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.4413270950317383},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3900619149208069},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.3518100380897522},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.2560998499393463},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2517024874687195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24920645356178284},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2164825201034546},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06731262803077698},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-002-0430-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-002-0430-0","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W17063520","https://openalex.org/W104652564","https://openalex.org/W382624735","https://openalex.org/W389899559","https://openalex.org/W413401124","https://openalex.org/W1537224157","https://openalex.org/W1554134448","https://openalex.org/W1603553402","https://openalex.org/W1617977307","https://openalex.org/W1646570990","https://openalex.org/W1848099641","https://openalex.org/W1965534279","https://openalex.org/W1986742199","https://openalex.org/W1987832639","https://openalex.org/W1997654684","https://openalex.org/W1997690237","https://openalex.org/W2007014670","https://openalex.org/W2015957210","https://openalex.org/W2024361440","https://openalex.org/W2026700540","https://openalex.org/W2039471641","https://openalex.org/W2040870303","https://openalex.org/W2043057066","https://openalex.org/W2044792327","https://openalex.org/W2047612590","https://openalex.org/W2056665075","https://openalex.org/W2068056613","https://openalex.org/W2070912498","https://openalex.org/W2072320056","https://openalex.org/W2080202186","https://openalex.org/W2080584205","https://openalex.org/W2088432916","https://openalex.org/W2112548197","https://openalex.org/W2145968535","https://openalex.org/W2778033595","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4295135832","https://openalex.org/W2357877681","https://openalex.org/W1980365163","https://openalex.org/W2001126285","https://openalex.org/W1681011433","https://openalex.org/W2036623811","https://openalex.org/W2064526547","https://openalex.org/W1982040517","https://openalex.org/W1980014272","https://openalex.org/W1977614220"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}