{"id":"https://openalex.org/W94380211","doi":"https://doi.org/10.1023/a:1018955121314","title":"A new theoretically motivated higher order upwind scheme on unstructured grids of simplices","display_name":"A new theoretically motivated higher order upwind scheme on unstructured grids of simplices","publication_year":1997,"publication_date":"1997-05-01","ids":{"openalex":"https://openalex.org/W94380211","doi":"https://doi.org/10.1023/a:1018955121314","mag":"94380211"},"language":"en","primary_location":{"id":"doi:10.1023/a:1018955121314","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018955121314","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5015517903","display_name":"Monika Wierse","orcid":null},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Monika Wierse","raw_affiliation_strings":["Institute for Applied Mathematics, Freiburg University, Hermann Herder Str. 10, D-79104, Freiburg, Germany","Institute for Applied Mathematics, Freiburg University, Freiburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Applied Mathematics, Freiburg University, Hermann Herder Str. 10, D-79104, Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Institute for Applied Mathematics, Freiburg University, Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015517903"],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.7022,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.80264249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"7","issue":"3","first_page":"303","last_page":"335"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9930999875068665,"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":0.9908000230789185,"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/finite-volume-method","display_name":"Finite volume method","score":0.7928144335746765},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7209327220916748},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.682465672492981},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6293200254440308},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.612492561340332},{"id":"https://openalex.org/keywords/upwind-scheme","display_name":"Upwind scheme","score":0.5575886368751526},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5542086958885193},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5223804116249084},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.505891740322113},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4171794354915619},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40903452038764954},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29331058263778687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17129269242286682},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14661026000976562}],"concepts":[{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.7928144335746765},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7209327220916748},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.682465672492981},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6293200254440308},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.612492561340332},{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.5575886368751526},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5542086958885193},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5223804116249084},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.505891740322113},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4171794354915619},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40903452038764954},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29331058263778687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17129269242286682},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14661026000976562},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","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:10.1023/a:1018955121314","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018955121314","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W195377883","https://openalex.org/W201561196","https://openalex.org/W288636369","https://openalex.org/W1010618079","https://openalex.org/W1490609730","https://openalex.org/W1568522471","https://openalex.org/W1590320958","https://openalex.org/W1676660049","https://openalex.org/W1963755856","https://openalex.org/W1964663237","https://openalex.org/W1964672341","https://openalex.org/W1964761509","https://openalex.org/W1970676116","https://openalex.org/W1973481688","https://openalex.org/W1979413834","https://openalex.org/W1981855854","https://openalex.org/W1982337005","https://openalex.org/W1982820457","https://openalex.org/W1991034613","https://openalex.org/W1993923624","https://openalex.org/W1997654684","https://openalex.org/W1999399767","https://openalex.org/W1999447349","https://openalex.org/W2009304832","https://openalex.org/W2027087330","https://openalex.org/W2031193793","https://openalex.org/W2032001269","https://openalex.org/W2034976587","https://openalex.org/W2036497133","https://openalex.org/W2045679525","https://openalex.org/W2046430532","https://openalex.org/W2048914028","https://openalex.org/W2065908448","https://openalex.org/W2080697504","https://openalex.org/W2083659289","https://openalex.org/W2085294768","https://openalex.org/W2093052046","https://openalex.org/W2093377508","https://openalex.org/W2112548197","https://openalex.org/W2148195085","https://openalex.org/W2162357087","https://openalex.org/W2286355715","https://openalex.org/W2586324090","https://openalex.org/W2892309892","https://openalex.org/W3010292040","https://openalex.org/W3018295588","https://openalex.org/W3020949389","https://openalex.org/W4238285603","https://openalex.org/W4241865185","https://openalex.org/W4246409132","https://openalex.org/W4298209087"],"related_works":["https://openalex.org/W2726528067","https://openalex.org/W2129573473","https://openalex.org/W2380255313","https://openalex.org/W2978948323","https://openalex.org/W2952149072","https://openalex.org/W2154700905","https://openalex.org/W2386817164","https://openalex.org/W3094707113","https://openalex.org/W2333051381","https://openalex.org/W2006935591"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
