{"id":"https://openalex.org/W2139737621","doi":"https://doi.org/10.1137/s1064827501392880","title":"On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws","display_name":"On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2139737621","doi":"https://doi.org/10.1137/s1064827501392880","mag":"2139737621"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827501392880","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827501392880","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/A5040515504","display_name":"Knut\u2010Andreas Lie","orcid":"https://orcid.org/0000-0003-0381-677X"},"institutions":[{"id":"https://openalex.org/I173888879","display_name":"SINTEF","ror":"https://ror.org/01f677e56","country_code":"NO","type":"facility","lineage":["https://openalex.org/I173888879"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Knut-Andreas Lie","raw_affiliation_strings":["SINTEF#TAB#"],"affiliations":[{"raw_affiliation_string":"SINTEF#TAB#","institution_ids":["https://openalex.org/I173888879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025832688","display_name":"Sebastian Noelle","orcid":"https://orcid.org/0000-0001-6267-8309"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sebastian Noelle","raw_affiliation_strings":["[Rwth Aachen University]"],"affiliations":[{"raw_affiliation_string":"[Rwth Aachen University]","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040515504"],"corresponding_institution_ids":["https://openalex.org/I173888879"],"apc_list":null,"apc_paid":null,"fwci":2.2837,"has_fulltext":false,"cited_by_count":145,"citation_normalized_percentile":{"value":0.88013712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"24","issue":"4","first_page":"1157","last_page":"1174"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9994999766349792,"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":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.9290862083435059},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.76334547996521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6744809150695801},{"id":"https://openalex.org/keywords/compression","display_name":"Compression (physics)","score":0.5388770699501038},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.503600537776947},{"id":"https://openalex.org/keywords/total-variation-diminishing","display_name":"Total variation diminishing","score":0.46729543805122375},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4218534827232361},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41485974192619324},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2392171025276184},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1463308036327362}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.9290862083435059},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.76334547996521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6744809150695801},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.5388770699501038},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.503600537776947},{"id":"https://openalex.org/C152284280","wikidata":"https://www.wikidata.org/wiki/Q7828154","display_name":"Total variation diminishing","level":2,"score":0.46729543805122375},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4218534827232361},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41485974192619324},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2392171025276184},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1463308036327362},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s1064827501392880","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827501392880","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"},{"id":"pmh:hdl:10068/178521","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/178521","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"I - Miscellaneous"},{"id":"pmh:oai:publications.rwth-aachen.de:156505","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/search?p=id:%22RWTH-CONV-034819%22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM journal on scientific computing 24(4), 1157-1174 (2003). doi:10.1137/S1064827501392880","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:publications.rwth-aachen.de:47173","is_oa":false,"landing_page_url":"http://publications.rwth-aachen.de/record/47173","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Aachen : Inst. f\u00fcr Geometrie und Praktische Mathematik, Bericht / Institut f\u00fcr Geometrie und Praktische Mathematik, RWTH Aachen 210, 18 S. : graph. Darst. (2002).","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W3384574","https://openalex.org/W199430607","https://openalex.org/W1972759058","https://openalex.org/W1973481688","https://openalex.org/W1975706278","https://openalex.org/W1988066691","https://openalex.org/W1989234010","https://openalex.org/W1998830482","https://openalex.org/W2008076987","https://openalex.org/W2011023672","https://openalex.org/W2027087330","https://openalex.org/W2034976587","https://openalex.org/W2036951447","https://openalex.org/W2042336927","https://openalex.org/W2042707778","https://openalex.org/W2048475936","https://openalex.org/W2068056613","https://openalex.org/W2086905645","https://openalex.org/W2102668134","https://openalex.org/W2112548197","https://openalex.org/W2128425522","https://openalex.org/W2156669471","https://openalex.org/W3101198332","https://openalex.org/W4230576576","https://openalex.org/W4245037559"],"related_works":["https://openalex.org/W2091196763","https://openalex.org/W2097201125","https://openalex.org/W3204799006","https://openalex.org/W2050140952","https://openalex.org/W2141851437","https://openalex.org/W2145625805","https://openalex.org/W1672500991","https://openalex.org/W3062405927","https://openalex.org/W2367151591","https://openalex.org/W2041609367"],"abstract_inverted_index":{"The":[0],"recently":[1],"proposed":[2],"high-order":[3],"central":[4],"difference":[5],"schemes":[6],"for":[7],"conservation":[8],"laws":[9],"have":[10],"a":[11,43,51],"tendency":[12],"of":[13,46,54,63,69],"smearing":[14],"linear":[15],"discontinuities.":[16],"In":[17],"principle,":[18],"Harten's":[19],"artificial":[20],"compression":[21],"method":[22],"(ACM)":[23],"could":[24],"be":[25],"used":[26,39],"to":[27],"improve":[28],"resolution.":[29],"We":[30,58],"analyze":[31],"why":[32],"this":[33],"approach":[34],"has":[35],"not":[36],"yet":[37],"been":[38],"successfully":[40],"and":[41,65],"derive":[42],"more":[44],"powerfulversion":[45],"the":[47,55,60],"ACM":[48],"based":[49],"on":[50],"rigorous":[52],"estimate":[53],"total":[56],"variation.":[57],"discuss":[59],"potential":[61],"danger":[62],"overcompression":[64],"point":[66],"out":[67],"directions":[68],"future":[70],"algorithmic":[71],"development.":[72]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}