{"id":"https://openalex.org/W1601163688","doi":"https://doi.org/10.1023/a:1020390212806","title":"On the Conservation and Convergence to Weak Solutions of Global Schemes","display_name":"On the Conservation and Convergence to Weak Solutions of Global Schemes","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W1601163688","doi":"https://doi.org/10.1023/a:1020390212806","mag":"1601163688"},"language":"en","primary_location":{"id":"doi:10.1023/a:1020390212806","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1020390212806","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":"book","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/A5085452549","display_name":"Mark H. Carpenter","orcid":null},"institutions":[{"id":"https://openalex.org/I1319063186","display_name":"Langley Research Center","ror":"https://ror.org/0399mhs52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1319063186","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark H. Carpenter","raw_affiliation_strings":["NASA Langley Research Center, Computational Methods and Simulation Branch (CMSB), Hampton, Virginia, 23681-0001","Computational Methods and Simulation Branch (CMSB), NASA Langley Research Center, Hampton, Virginia 23681-0001. m.h.carpenter@larc.nasa.gov#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NASA Langley Research Center, Computational Methods and Simulation Branch (CMSB), Hampton, Virginia, 23681-0001","institution_ids":["https://openalex.org/I1319063186"]},{"raw_affiliation_string":"Computational Methods and Simulation Branch (CMSB), NASA Langley Research Center, Hampton, Virginia 23681-0001. m.h.carpenter@larc.nasa.gov#TAB#","institution_ids":["https://openalex.org/I1319063186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010672869","display_name":"David Gottlieb","orcid":"https://orcid.org/0000-0001-5807-1766"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Gottlieb","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, Rhode Island, 02912","Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912. dig@cfm.brown.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island, 02912","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912. dig@cfm.brown.edu#TAB#","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047035333","display_name":"Chi\u2010Wang Shu","orcid":"https://orcid.org/0000-0001-7720-9564"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chi-Wang Shu","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, Rhode Island, 02912","Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912. shu@cfm.brown.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island, 02912","institution_ids":["https://openalex.org/I27804330"]},{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912. shu@cfm.brown.edu","institution_ids":["https://openalex.org/I27804330"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.0018,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82868281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"18","issue":"1","first_page":"111","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9976999759674072,"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":0.9976999759674072,"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":0.9950000047683716,"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":0.9945999979972839,"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/conservation-law","display_name":"Conservation law","score":0.8687677383422852},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7266789674758911},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.6093000769615173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6080748438835144},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.5162999033927917},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.50018310546875},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.40060991048812866},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24679508805274963},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.23478388786315918},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21625423431396484}],"concepts":[{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.8687677383422852},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7266789674758911},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.6093000769615173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6080748438835144},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.5162999033927917},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.50018310546875},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.40060991048812866},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24679508805274963},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.23478388786315918},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21625423431396484},{"id":"https://openalex.org/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1023/a:1020390212806","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1020390212806","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":"mag:1601163688","is_oa":false,"landing_page_url":"https://ntrs.nasa.gov/api/citations/20020038532/downloads/20020038532.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306402118","display_name":"NASA Technical Reports Server (NASA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1305493378","host_organization_name":"NASA Headquarters","host_organization_lineage":["https://openalex.org/I1305493378"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W77471398","https://openalex.org/W1549220217","https://openalex.org/W1912930600","https://openalex.org/W1964600522","https://openalex.org/W1965855805","https://openalex.org/W1967633238","https://openalex.org/W1977849344","https://openalex.org/W1978362527","https://openalex.org/W2010687400","https://openalex.org/W2020168202","https://openalex.org/W2024923766","https://openalex.org/W2028522134","https://openalex.org/W2034976587","https://openalex.org/W2046683716","https://openalex.org/W2054739989","https://openalex.org/W2103606462","https://openalex.org/W2131778920","https://openalex.org/W2142471360","https://openalex.org/W2154990335","https://openalex.org/W2169625293","https://openalex.org/W2408478130","https://openalex.org/W3021821037","https://openalex.org/W4234949994","https://openalex.org/W4298060601","https://openalex.org/W4298209087","https://openalex.org/W4388311803"],"related_works":["https://openalex.org/W2028172847","https://openalex.org/W2025896389","https://openalex.org/W2170590789","https://openalex.org/W2111833917","https://openalex.org/W2586732926","https://openalex.org/W2039241950","https://openalex.org/W2058546710","https://openalex.org/W2019630499","https://openalex.org/W2133429431","https://openalex.org/W2024219079","https://openalex.org/W2053744464","https://openalex.org/W2554193359","https://openalex.org/W2464270290","https://openalex.org/W2064727501","https://openalex.org/W2010506467","https://openalex.org/W2150853182","https://openalex.org/W2156669471","https://openalex.org/W2948586896","https://openalex.org/W1988561446","https://openalex.org/W2565671864"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"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"}