{"id":"https://openalex.org/W1983929497","doi":"https://doi.org/10.1007/s002110100335","title":"Error bounds for the large time step Glimm scheme applied to scalar conservation laws","display_name":"Error bounds for the large time step Glimm scheme applied to scalar conservation laws","publication_year":2002,"publication_date":"2002-03-01","ids":{"openalex":"https://openalex.org/W1983929497","doi":"https://doi.org/10.1007/s002110100335","mag":"1983929497"},"language":"en","primary_location":{"id":"doi:10.1007/s002110100335","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110100335","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5100928377","display_name":"Jinyang Huang","orcid":"https://orcid.org/0000-0001-5483-2812"},"institutions":[{"id":"https://openalex.org/I75390827","display_name":"Beijing University of Chemical Technology","ror":"https://ror.org/00df5yc52","country_code":"CN","type":"education","lineage":["https://openalex.org/I75390827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinyang Huang","raw_affiliation_strings":["Beijing University of Chemical Technology, Beijing 100029, People's Republic of China; e-mail: huangjy@buct.edu.cn\n, , , , , , CN","Beijing University of Chemical Technology, Beijing 100029, People's Republic of China; e-mail: huangjy@buct.edu.cn#N#, , CN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing University of Chemical Technology, Beijing 100029, People's Republic of China; e-mail: huangjy@buct.edu.cn\n, , , , , , CN","institution_ids":["https://openalex.org/I75390827"]},{"raw_affiliation_string":"Beijing University of Chemical Technology, Beijing 100029, People's Republic of China; e-mail: huangjy@buct.edu.cn#N#, , CN","institution_ids":["https://openalex.org/I75390827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100449060","display_name":"Jinghua Wang","orcid":"https://orcid.org/0000-0003-1821-2362"},"institutions":[{"id":"https://openalex.org/I84653119","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784","country_code":"TW","type":"facility","lineage":["https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jinghua Wang","raw_affiliation_strings":["Institute of Systems Science, Academia Sinica, Beijing 100080, People's Republic of China; e-mail: jwang@iss06.iss.ac.cn\n, , , , , , CN","Institute of Systems Science, Academia Sinica, Beijing 100080, People's Republic of China; e-mail: jwang@iss06.iss.ac.cn#N#, , CN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Academia Sinica, Beijing 100080, People's Republic of China; e-mail: jwang@iss06.iss.ac.cn\n, , , , , , CN","institution_ids":["https://openalex.org/I84653119"]},{"raw_affiliation_string":"Institute of Systems Science, Academia Sinica, Beijing 100080, People's Republic of China; e-mail: jwang@iss06.iss.ac.cn#N#, , CN","institution_ids":["https://openalex.org/I84653119"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048388377","display_name":"Gerald Warnecke","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107249","display_name":"Klinikum Magdeburg","ror":"https://ror.org/01trdns33","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210107249"]},{"id":"https://openalex.org/I4210138551","display_name":"University Hospital Magdeburg","ror":"https://ror.org/03m04df46","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210138551"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerald Warnecke","raw_affiliation_strings":["Institut f\u00fcr Analysis und Numerik, Universit\u00e4t Magdeburg, Postfach 4120, 39016 Magdeburg, Germany; e-mail: gerald.warnecke@mathematik.uni-magdeburg.de\n, , , , , , DE","Institut f\u00fcr Analysis und Numerik, Universit\u00e4t Magdeburg, Postfach 4120, 39016 Magdeburg, Germany; e-mail: gerald.warnecke@mathematik.uni-magdeburg.de#N#, , DE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Analysis und Numerik, Universit\u00e4t Magdeburg, Postfach 4120, 39016 Magdeburg, Germany; e-mail: gerald.warnecke@mathematik.uni-magdeburg.de\n, , , , , , DE","institution_ids":["https://openalex.org/I4210107249","https://openalex.org/I4210138551"]},{"raw_affiliation_string":"Institut f\u00fcr Analysis und Numerik, Universit\u00e4t Magdeburg, Postfach 4120, 39016 Magdeburg, Germany; e-mail: gerald.warnecke@mathematik.uni-magdeburg.de#N#, , DE","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.5217,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5998031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"91","issue":"1","first_page":"13","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9948999881744385,"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":0.9948999881744385,"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":0.8873094320297241},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.8040755987167358},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6527608036994934},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6079118847846985},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5749821662902832},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4743053913116455},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47258293628692627},{"id":"https://openalex.org/keywords/courant\u2013friedrichs\u2013lewy-condition","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","score":0.45446720719337463},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44706279039382935},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4437176585197449},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4169515073299408},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34352046251296997},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12723678350448608},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06374749541282654}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8873094320297241},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8040755987167358},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6527608036994934},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6079118847846985},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5749821662902832},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4743053913116455},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47258293628692627},{"id":"https://openalex.org/C30295242","wikidata":"https://www.wikidata.org/wiki/Q1023483","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","level":3,"score":0.45446720719337463},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44706279039382935},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4437176585197449},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4169515073299408},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34352046251296997},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12723678350448608},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06374749541282654},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s002110100335","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110100335","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:hdl:10068/182900","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/182900","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1557786636","https://openalex.org/W1607458528","https://openalex.org/W1963865572","https://openalex.org/W2002061648","https://openalex.org/W2028089604","https://openalex.org/W2038991247","https://openalex.org/W2049778555","https://openalex.org/W2060312291","https://openalex.org/W2089661395"],"related_works":["https://openalex.org/W2094862772","https://openalex.org/W4388397561","https://openalex.org/W4382766439","https://openalex.org/W4287661942","https://openalex.org/W2595463258","https://openalex.org/W2380080472","https://openalex.org/W2765737651","https://openalex.org/W2476202684","https://openalex.org/W1989462402","https://openalex.org/W2296698021"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}