{"id":"https://openalex.org/W3189971583","doi":"https://doi.org/10.1137/20m1346675","title":"On the Active Flux Scheme for Hyperbolic PDEs with Source Terms","display_name":"On the Active Flux Scheme for Hyperbolic PDEs with Source Terms","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3189971583","doi":"https://doi.org/10.1137/20m1346675","mag":"3189971583"},"language":"en","primary_location":{"id":"doi:10.1137/20m1346675","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1346675","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5051087973","display_name":"Wasilij Barsukow","orcid":"https://orcid.org/0000-0003-2300-105X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wasilij Barsukow","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2300-105X","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006754011","display_name":"Jonas P. Berberich","orcid":"https://orcid.org/0000-0003-2598-1792"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jonas P. Berberich","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089167718","display_name":"Christian Klingenberg","orcid":"https://orcid.org/0000-0003-2033-8204"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christian Klingenberg","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2033-8204","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5348,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.61070055,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"43","issue":"6","first_page":"A4015","last_page":"A4042"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9990000128746033,"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":0.9990000128746033,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9854000210762024,"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/mathematics","display_name":"Mathematics","score":0.766815185546875},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.565334141254425},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5158007144927979},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4927509129047394},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.484195739030838},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44123658537864685},{"id":"https://openalex.org/keywords/flux","display_name":"Flux (metallurgy)","score":0.4276466965675354}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.766815185546875},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.565334141254425},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5158007144927979},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4927509129047394},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.484195739030838},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44123658537864685},{"id":"https://openalex.org/C68709404","wikidata":"https://www.wikidata.org/wiki/Q1134475","display_name":"Flux (metallurgy)","level":2,"score":0.4276466965675354},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1346675","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1346675","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3681411707","display_name":null,"funder_award_id":"605728","funder_id":"https://openalex.org/F4320320875","funder_display_name":"Deutscher Akademischer Austauschdienst"},{"id":"https://openalex.org/G3701782860","display_name":null,"funder_award_id":"429491391","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7286548244","display_name":"Postdoctoral Researchers International Mobility Experience","funder_award_id":"605728","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8199895155","display_name":null,"funder_award_id":"605728","funder_id":"https://openalex.org/F4320338368","funder_display_name":"FP7 People: Marie-Curie Actions"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320338368","display_name":"FP7 People: Marie-Curie Actions","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W232198546","https://openalex.org/W1975628738","https://openalex.org/W2031043673","https://openalex.org/W2069438562","https://openalex.org/W2073378999","https://openalex.org/W2083659289","https://openalex.org/W2106839265","https://openalex.org/W2109595248","https://openalex.org/W2149651547","https://openalex.org/W2153084536","https://openalex.org/W2155785405","https://openalex.org/W2231276652","https://openalex.org/W2287490544","https://openalex.org/W2328133203","https://openalex.org/W2780816004","https://openalex.org/W2794523493","https://openalex.org/W2886502904","https://openalex.org/W2886930096","https://openalex.org/W2921650893","https://openalex.org/W2952800420","https://openalex.org/W2963031533","https://openalex.org/W2971284427","https://openalex.org/W3103575232","https://openalex.org/W3103751627","https://openalex.org/W3115366265","https://openalex.org/W3135247827","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2066764747","https://openalex.org/W161810272","https://openalex.org/W144405564","https://openalex.org/W2969693569","https://openalex.org/W3118471514","https://openalex.org/W2069661783","https://openalex.org/W2609974967","https://openalex.org/W1978474130","https://openalex.org/W2057159272","https://openalex.org/W1994633937"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11,29],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"19":[17],"June":[18],"2020Accepted:":[19],"03":[20],"August":[21],"2021Published":[22],"online:":[23],"14":[24],"December":[25],"2021Keywordsfinite":[26],"volume":[27],"methods,":[28,36],"flux,":[30],"source":[31],"terms,":[32],"balance":[33],"laws,":[34],"well-balanced":[35],"gravityAMS":[37],"Subject":[38],"Headings35L65,":[39],"35L45,":[40],"65M08Publication":[41],"DataISSN":[42],"(print):":[43],"1064-8275ISSN":[44],"(online):":[45],"1095-7197Publisher:":[46],"Society":[47],"for":[48],"Industrial":[49],"and":[50],"Applied":[51],"MathematicsCODEN:":[52],"sjoce3":[53]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}