{"id":"https://openalex.org/W2055793237","doi":"https://doi.org/10.1137/0912076","title":"Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws","display_name":"Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws","publication_year":1991,"publication_date":"1991-11-01","ids":{"openalex":"https://openalex.org/W2055793237","doi":"https://doi.org/10.1137/0912076","mag":"2055793237"},"language":"en","primary_location":{"id":"doi:10.1137/0912076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0912076","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical 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/A5081764581","display_name":"Nils Henrik Risebro","orcid":"https://orcid.org/0000-0003-4069-8282"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nils Henrik Risebro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5016700859","display_name":"Aslak Tveito","orcid":"https://orcid.org/0000-0003-2362-146X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aslak Tveito","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3194,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.78745029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"6","first_page":"1401","last_page":"1419"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9987000226974487,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9972000122070312,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/conservation-law","display_name":"Conservation law","score":0.8902190923690796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6762504577636719},{"id":"https://openalex.org/keywords/upwind-scheme","display_name":"Upwind scheme","score":0.6499983072280884},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.6262670159339905},{"id":"https://openalex.org/keywords/riemann-problem","display_name":"Riemann problem","score":0.590840756893158},{"id":"https://openalex.org/keywords/front","display_name":"Front (military)","score":0.5779553055763245},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.47194236516952515},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46928510069847107},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.44475293159484863},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.439877986907959},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39400580525398254},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.37442630529403687},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.20382282137870789},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12637126445770264},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.11923304200172424},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0998692512512207}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8902190923690796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6762504577636719},{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.6499983072280884},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.6262670159339905},{"id":"https://openalex.org/C40709475","wikidata":"https://www.wikidata.org/wiki/Q2152221","display_name":"Riemann problem","level":3,"score":0.590840756893158},{"id":"https://openalex.org/C2777551076","wikidata":"https://www.wikidata.org/wiki/Q842332","display_name":"Front (military)","level":2,"score":0.5779553055763245},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.47194236516952515},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46928510069847107},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.44475293159484863},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.439877986907959},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39400580525398254},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.37442630529403687},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.20382282137870789},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12637126445770264},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.11923304200172424},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0998692512512207},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0912076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0912076","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W160448808","https://openalex.org/W1601100443","https://openalex.org/W1972765947","https://openalex.org/W1973558216","https://openalex.org/W1984487771","https://openalex.org/W1985813224","https://openalex.org/W1990860684","https://openalex.org/W1998483100","https://openalex.org/W1999342804","https://openalex.org/W2020955979","https://openalex.org/W2026210473","https://openalex.org/W2026388260","https://openalex.org/W2038991247","https://openalex.org/W2054417118","https://openalex.org/W2071222464","https://openalex.org/W2078584273","https://openalex.org/W2092435235","https://openalex.org/W2148195085","https://openalex.org/W2158611821","https://openalex.org/W2506139098","https://openalex.org/W4248892300","https://openalex.org/W4249641605"],"related_works":["https://openalex.org/W4206152021","https://openalex.org/W2978948323","https://openalex.org/W1995140709","https://openalex.org/W2386817164","https://openalex.org/W2071222464","https://openalex.org/W2036910913","https://openalex.org/W2333051381","https://openalex.org/W2043057066","https://openalex.org/W2020017862","https://openalex.org/W1986608005"],"abstract_inverted_index":{"The":[0,21,33],"application":[1],"of":[2,12,30],"a":[3,8],"front":[4,22],"tracking":[5,23],"method":[6,24,34],"to":[7],"nonstrictly":[9],"hyperbolic":[10],"system":[11],"conservation":[13],"laws":[14],"is":[15,25,35],"described":[16],"in":[17],"one":[18],"space":[19],"dimension.":[20],"based":[26],"on":[27],"approximate":[28],"solutions":[29],"Riemann":[31],"problems.":[32],"compared":[36],"with":[37],"the":[38,43],"random":[39],"choice":[40],"scheme":[41],"and":[42],"upwind":[44],"scheme.":[45]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}