{"id":"https://openalex.org/W2224008946","doi":"https://doi.org/10.1007/s00211-017-0865-y","title":"A multi well-balanced scheme for the shallow water MHD system with topography","display_name":"A multi well-balanced scheme for the shallow water MHD system with topography","publication_year":2017,"publication_date":"2017-01-25","ids":{"openalex":"https://openalex.org/W2224008946","doi":"https://doi.org/10.1007/s00211-017-0865-y","mag":"2224008946"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-017-0865-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0865-y","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/A5005991575","display_name":"Fran\u00e7ois Bouchut","orcid":"https://orcid.org/0000-0002-2545-1655"},"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/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fran\u00e7ois Bouchut","raw_affiliation_strings":["Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, UPEM, UPEC, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, UPEM, UPEC, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007608061","display_name":"Xavier Lh\u00e9brard","orcid":"https://orcid.org/0000-0001-5486-1859"},"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/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Lh\u00e9brard","raw_affiliation_strings":["Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, UPEM, UPEC, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es (UMR 8050), CNRS, UPEM, UPEC, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005991575"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210144844","https://openalex.org/I4210154111"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.741,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.67157948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"136","issue":"4","first_page":"875","last_page":"905"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9980999827384949,"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":0.9980999827384949,"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/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.996999979019165,"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/magnetohydrodynamic-drive","display_name":"Magnetohydrodynamic drive","score":0.7716244459152222},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6978170871734619},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6669447422027588},{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.6005223989486694},{"id":"https://openalex.org/keywords/hydrostatic-equilibrium","display_name":"Hydrostatic equilibrium","score":0.5754092931747437},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5183118581771851},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.5132701396942139},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4682145118713379},{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"Shallow water equations","score":0.43254202604293823},{"id":"https://openalex.org/keywords/waves-and-shallow-water","display_name":"Waves and shallow water","score":0.42201468348503113},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.41574805974960327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4032673239707947},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40099743008613586},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2275368869304657},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16351532936096191}],"concepts":[{"id":"https://openalex.org/C42471609","wikidata":"https://www.wikidata.org/wiki/Q1779048","display_name":"Magnetohydrodynamic drive","level":4,"score":0.7716244459152222},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6978170871734619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6669447422027588},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.6005223989486694},{"id":"https://openalex.org/C134853933","wikidata":"https://www.wikidata.org/wiki/Q208641","display_name":"Hydrostatic equilibrium","level":2,"score":0.5754092931747437},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5183118581771851},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.5132701396942139},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4682145118713379},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.43254202604293823},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.42201468348503113},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.41574805974960327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4032673239707947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40099743008613586},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2275368869304657},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16351532936096191},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-017-0865-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0865-y","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:HAL:hal-01131297v3","is_oa":false,"landing_page_url":"https://hal.science/hal-01131297","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, 2017, 136 (4), pp.875-905. ⟨10.1007/s00211-017-0865-y⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W17084007","https://openalex.org/W348217116","https://openalex.org/W1971166309","https://openalex.org/W1972023531","https://openalex.org/W1980210033","https://openalex.org/W2001231809","https://openalex.org/W2004686369","https://openalex.org/W2009526124","https://openalex.org/W2018388088","https://openalex.org/W2018478522","https://openalex.org/W2020752851","https://openalex.org/W2031208469","https://openalex.org/W2050445534","https://openalex.org/W2058421692","https://openalex.org/W2064811159","https://openalex.org/W2068387216","https://openalex.org/W2083341006","https://openalex.org/W2085689902","https://openalex.org/W2094818681","https://openalex.org/W2108513618","https://openalex.org/W2110448314","https://openalex.org/W2121878816","https://openalex.org/W2124963277","https://openalex.org/W2131254513","https://openalex.org/W2133314152","https://openalex.org/W2142274843","https://openalex.org/W2147617663","https://openalex.org/W2152122438","https://openalex.org/W2153084536","https://openalex.org/W2155785405","https://openalex.org/W2162359418","https://openalex.org/W2232798531","https://openalex.org/W2282740132","https://openalex.org/W2322861651","https://openalex.org/W2465873844","https://openalex.org/W2482838170","https://openalex.org/W3100575910"],"related_works":["https://openalex.org/W2555668256","https://openalex.org/W2355792449","https://openalex.org/W2040219002","https://openalex.org/W2031283907","https://openalex.org/W3120568560","https://openalex.org/W4289108923","https://openalex.org/W2226027031","https://openalex.org/W2503622847","https://openalex.org/W2336514746","https://openalex.org/W2606265764"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}