{"id":"https://openalex.org/W2036581081","doi":"https://doi.org/10.1007/s10915-009-9317-x","title":"Conditionally Stable Multidimensional Schemes for\u00a0Advective Equations","display_name":"Conditionally Stable Multidimensional Schemes for\u00a0Advective Equations","publication_year":2009,"publication_date":"2009-07-20","ids":{"openalex":"https://openalex.org/W2036581081","doi":"https://doi.org/10.1007/s10915-009-9317-x","mag":"2036581081"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-009-9317-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9317-x","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/A5067871719","display_name":"Adrian Sescu","orcid":"https://orcid.org/0000-0002-2293-2912"},"institutions":[{"id":"https://openalex.org/I90871651","display_name":"University of Toledo","ror":"https://ror.org/01pbdzh19","country_code":"US","type":"education","lineage":["https://openalex.org/I90871651"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Adrian Sescu","raw_affiliation_strings":["MIME Department, University of Toledo, 2801 W Bancroft, MS 312, Toledo, 43606, OH, USA","MIME Department, University of Toledo, Toledo, USA 43606#TAB#"],"affiliations":[{"raw_affiliation_string":"MIME Department, University of Toledo, 2801 W Bancroft, MS 312, Toledo, 43606, OH, USA","institution_ids":["https://openalex.org/I90871651"]},{"raw_affiliation_string":"MIME Department, University of Toledo, Toledo, USA 43606#TAB#","institution_ids":["https://openalex.org/I90871651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021784649","display_name":"Abdollah A. Afjeh","orcid":null},"institutions":[{"id":"https://openalex.org/I90871651","display_name":"University of Toledo","ror":"https://ror.org/01pbdzh19","country_code":"US","type":"education","lineage":["https://openalex.org/I90871651"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abdollah A. Afjeh","raw_affiliation_strings":["MIME Department, University of Toledo, 2801 W Bancroft, MS 312, Toledo, 43606, OH, USA","MIME Department, University of Toledo, Toledo, USA 43606#TAB#"],"affiliations":[{"raw_affiliation_string":"MIME Department, University of Toledo, 2801 W Bancroft, MS 312, Toledo, 43606, OH, USA","institution_ids":["https://openalex.org/I90871651"]},{"raw_affiliation_string":"MIME Department, University of Toledo, Toledo, USA 43606#TAB#","institution_ids":["https://openalex.org/I90871651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088291292","display_name":"Ray Hixon","orcid":null},"institutions":[{"id":"https://openalex.org/I90871651","display_name":"University of Toledo","ror":"https://ror.org/01pbdzh19","country_code":"US","type":"education","lineage":["https://openalex.org/I90871651"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ray Hixon","raw_affiliation_strings":["MIME Department, University of Toledo, 2801 W Bancroft, MS 312, Toledo, 43606, OH, USA","MIME Department, University of Toledo, Toledo, USA 43606#TAB#"],"affiliations":[{"raw_affiliation_string":"MIME Department, University of Toledo, 2801 W Bancroft, MS 312, Toledo, 43606, OH, USA","institution_ids":["https://openalex.org/I90871651"]},{"raw_affiliation_string":"MIME Department, University of Toledo, Toledo, USA 43606#TAB#","institution_ids":["https://openalex.org/I90871651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057976744","display_name":"Carmen Sescu","orcid":null},"institutions":[{"id":"https://openalex.org/I90871651","display_name":"University of Toledo","ror":"https://ror.org/01pbdzh19","country_code":"US","type":"education","lineage":["https://openalex.org/I90871651"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carmen Sescu","raw_affiliation_strings":["MIME Department, University of Toledo, 2801 W Bancroft, MS 312, Toledo, 43606, OH, USA","MIME Department, University of Toledo, Toledo, USA 43606#TAB#"],"affiliations":[{"raw_affiliation_string":"MIME Department, University of Toledo, 2801 W Bancroft, MS 312, Toledo, 43606, OH, USA","institution_ids":["https://openalex.org/I90871651"]},{"raw_affiliation_string":"MIME Department, University of Toledo, Toledo, USA 43606#TAB#","institution_ids":["https://openalex.org/I90871651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5067871719"],"corresponding_institution_ids":["https://openalex.org/I90871651"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3566,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63581542,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"42","issue":"1","first_page":"96","last_page":"117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9986000061035156,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/advection","display_name":"Advection","score":0.8006924390792847},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7970260381698608},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6098604798316956},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5786446928977966},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.5761486291885376},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.5456826686859131},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5367615818977356},{"id":"https://openalex.org/keywords/courant\u2013friedrichs\u2013lewy-condition","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","score":0.4477880597114563},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.4239517152309418},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37338459491729736},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.34824395179748535},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21665695309638977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13011109828948975},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.10146075487136841}],"concepts":[{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.8006924390792847},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7970260381698608},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6098604798316956},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5786446928977966},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.5761486291885376},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.5456826686859131},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5367615818977356},{"id":"https://openalex.org/C30295242","wikidata":"https://www.wikidata.org/wiki/Q1023483","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","level":3,"score":0.4477880597114563},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.4239517152309418},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37338459491729736},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.34824395179748535},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21665695309638977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13011109828948975},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.10146075487136841},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-009-9317-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9317-x","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1507795625","https://openalex.org/W1543750907","https://openalex.org/W1581764042","https://openalex.org/W1876992439","https://openalex.org/W1968642437","https://openalex.org/W1969966834","https://openalex.org/W1980565389","https://openalex.org/W1983078963","https://openalex.org/W1985494751","https://openalex.org/W2005984935","https://openalex.org/W2021121593","https://openalex.org/W2024321716","https://openalex.org/W2028478698","https://openalex.org/W2029552111","https://openalex.org/W2029786748","https://openalex.org/W2043561826","https://openalex.org/W2049648727","https://openalex.org/W2060640820","https://openalex.org/W2069627726","https://openalex.org/W2073281758","https://openalex.org/W2073815684","https://openalex.org/W2078638882","https://openalex.org/W2104949606","https://openalex.org/W2108822617","https://openalex.org/W2151173177","https://openalex.org/W2224203235","https://openalex.org/W2328022356","https://openalex.org/W2482071863","https://openalex.org/W2953824343","https://openalex.org/W4300831640"],"related_works":["https://openalex.org/W3014042903","https://openalex.org/W1964985536","https://openalex.org/W3087130726","https://openalex.org/W1970830741","https://openalex.org/W2550125528","https://openalex.org/W2474709654","https://openalex.org/W2064309081","https://openalex.org/W2076977470","https://openalex.org/W583232988","https://openalex.org/W2138587776"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
