{"id":"https://openalex.org/W2123259302","doi":"https://doi.org/10.1007/s10915-015-0134-0","title":"An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations","display_name":"An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations","publication_year":2015,"publication_date":"2015-12-10","ids":{"openalex":"https://openalex.org/W2123259302","doi":"https://doi.org/10.1007/s10915-015-0134-0","mag":"2123259302"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-015-0134-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0134-0","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of 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/A5004529550","display_name":"David C. Seal","orcid":null},"institutions":[{"id":"https://openalex.org/I189158971","display_name":"United States Naval Academy","ror":"https://ror.org/00znex860","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I189158971","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David C. Seal","raw_affiliation_strings":["Department of Mathematics, U.S. Naval Academy, 121 Blake Road, Annapolis, MD, 21402, USA","Department of Mathematics, U.S. Naval Academy, Annapolis, USA 21402#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, U.S. Naval Academy, 121 Blake Road, Annapolis, MD, 21402, USA","institution_ids":["https://openalex.org/I189158971"]},{"raw_affiliation_string":"Department of Mathematics, U.S. Naval Academy, Annapolis, USA 21402#TAB#","institution_ids":["https://openalex.org/I189158971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036456769","display_name":"Qi Tang","orcid":"https://orcid.org/0000-0001-9614-1075"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qi Tang","raw_affiliation_strings":["Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, 12180, USA","Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA 12180#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, 12180, USA","institution_ids":["https://openalex.org/I165799507"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA 12180#TAB#","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101993671","display_name":"Zhengfu Xu","orcid":"https://orcid.org/0000-0003-1482-5727"},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhengfu Xu","raw_affiliation_strings":["Department of Mathematical Sciences, Michigan Technological University, Houghton, MI, 49931, USA","Department of Mathematical Sciences, Michigan Technological University, Houghton, USA 49931#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Michigan Technological University, Houghton, MI, 49931, USA","institution_ids":["https://openalex.org/I11957088"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Michigan Technological University, Houghton, USA 49931#TAB#","institution_ids":["https://openalex.org/I11957088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083347493","display_name":"Andrew Christlieb","orcid":"https://orcid.org/0000-0002-5395-5455"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew J. Christlieb","raw_affiliation_strings":["Department of Computational Mathematics, Science and Engineering, East Lansing, MI, 48824, USA","Department of Computational Mathematics, Science and Engineering, East Lansing, USA 48824#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Mathematics, Science and Engineering, East Lansing, MI, 48824, USA","institution_ids":[]},{"raw_affiliation_string":"Department of Computational Mathematics, Science and Engineering, East Lansing, USA 48824#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5004529550"],"corresponding_institution_ids":["https://openalex.org/I189158971"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.6846,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.92458903,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"68","issue":"1","first_page":"171","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9983999729156494,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9976000189781189,"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/mathematics","display_name":"Mathematics","score":0.8940622806549072},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7180718779563904},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.6314713358879089},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5462964177131653},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.5397089719772339},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5268023014068604},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.46884405612945557},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.445415735244751},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4436545670032501},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4028336703777313}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8940622806549072},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7180718779563904},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.6314713358879089},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5462964177131653},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.5397089719772339},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5268023014068604},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.46884405612945557},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.445415735244751},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4436545670032501},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4028336703777313},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-015-0134-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0134-0","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.mtu.edu:michigantech-p-24252","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/michigantech-p/4950","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Michigan Tech Publications, Part 1","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2484248853","display_name":null,"funder_award_id":"DMS-1316662","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"},{"id":"https://openalex.org/G3219086080","display_name":null,"funder_award_id":"FA9550-12-1-0343","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4558836789","display_name":null,"funder_award_id":"FA9550-11-1-0281","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8373959968","display_name":null,"funder_award_id":"FA9550-12-1-0455","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G982188077","display_name":null,"funder_award_id":"DMS-1115709","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332172","display_name":"Directorate for Mathematical and Physical Sciences","ror":"https://ror.org/029b7h395"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W10764281","https://openalex.org/W191599861","https://openalex.org/W1482367729","https://openalex.org/W1513760541","https://openalex.org/W1555627060","https://openalex.org/W1748556135","https://openalex.org/W1966531252","https://openalex.org/W1969395389","https://openalex.org/W1970212576","https://openalex.org/W1973481688","https://openalex.org/W1974099477","https://openalex.org/W1978274876","https://openalex.org/W1980103755","https://openalex.org/W1982465309","https://openalex.org/W1983195644","https://openalex.org/W1984280619","https://openalex.org/W1986742199","https://openalex.org/W1987937688","https://openalex.org/W1988094638","https://openalex.org/W1992978414","https://openalex.org/W1993547144","https://openalex.org/W1994955324","https://openalex.org/W2001033798","https://openalex.org/W2006134838","https://openalex.org/W2006321195","https://openalex.org/W2007030764","https://openalex.org/W2007565412","https://openalex.org/W2010714961","https://openalex.org/W2013194378","https://openalex.org/W2014519896","https://openalex.org/W2015715930","https://openalex.org/W2019713093","https://openalex.org/W2020168202","https://openalex.org/W2026836732","https://openalex.org/W2027087330","https://openalex.org/W2033265834","https://openalex.org/W2038072397","https://openalex.org/W2039150507","https://openalex.org/W2042155633","https://openalex.org/W2045849310","https://openalex.org/W2048143037","https://openalex.org/W2054597080","https://openalex.org/W2054662916","https://openalex.org/W2063431925","https://openalex.org/W2068056613","https://openalex.org/W2069227042","https://openalex.org/W2074900879","https://openalex.org/W2078033075","https://openalex.org/W2080839542","https://openalex.org/W2082433079","https://openalex.org/W2089786161","https://openalex.org/W2091178963","https://openalex.org/W2092584883","https://openalex.org/W2093842327","https://openalex.org/W2098451156","https://openalex.org/W2122177687","https://openalex.org/W2128425522","https://openalex.org/W2142212336","https://openalex.org/W2152735244","https://openalex.org/W2157430242","https://openalex.org/W2749486094","https://openalex.org/W2951902003","https://openalex.org/W2963562886","https://openalex.org/W3010292040","https://openalex.org/W3023930659","https://openalex.org/W3125108654","https://openalex.org/W4205988321","https://openalex.org/W4245037559"],"related_works":["https://openalex.org/W2009711572","https://openalex.org/W1981367860","https://openalex.org/W2365810470","https://openalex.org/W1674877062","https://openalex.org/W2158188297","https://openalex.org/W2039043967","https://openalex.org/W2501406218","https://openalex.org/W2225139434","https://openalex.org/W2963800366","https://openalex.org/W2805235704"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}