{"id":"https://openalex.org/W2155668769","doi":"https://doi.org/10.1007/s10915-010-9381-2","title":"A Fast Explicit Operator Splitting Method for Passive Scalar Advection","display_name":"A Fast Explicit Operator Splitting Method for Passive Scalar Advection","publication_year":2010,"publication_date":"2010-06-04","ids":{"openalex":"https://openalex.org/W2155668769","doi":"https://doi.org/10.1007/s10915-010-9381-2","mag":"2155668769"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-010-9381-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-010-9381-2","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/A5045555983","display_name":"Alina Chertock","orcid":"https://orcid.org/0000-0003-4978-1314"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alina Chertock","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052597341","display_name":"Charles R. Doering","orcid":"https://orcid.org/0000-0003-2769-8026"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charles R. Doering","raw_affiliation_strings":["Departments of Mathematics & Physics, University of Michigan, Ann Arbor, MI, 48109-1043, USA"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematics & Physics, University of Michigan, Ann Arbor, MI, 48109-1043, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090165940","display_name":"Eugene Kashdan","orcid":"https://orcid.org/0000-0002-8137-4981"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eugene Kashdan","raw_affiliation_strings":["Department of Applied Mathematics, Tel Aviv University, Tel Aviv, Ramat Aviv, 69978, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Tel Aviv University, Tel Aviv, Ramat Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091293976","display_name":"Alexander Kurganov","orcid":"https://orcid.org/0000-0003-0231-986X"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander Kurganov","raw_affiliation_strings":["Department of Mathematics, Tulane University, New Orleans, LA, 70118, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tulane University, New Orleans, LA, 70118, USA","institution_ids":["https://openalex.org/I114832834"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5045555983"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.0593,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.87596234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"45","issue":"1-3","first_page":"200","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9990000128746033,"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":0.9990000128746033,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9947999715805054,"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":0.7755324244499207},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.768824577331543},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.6466227769851685},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6017132997512817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5729981064796448},{"id":"https://openalex.org/keywords/laminar-flow","display_name":"Laminar flow","score":0.5727565884590149},{"id":"https://openalex.org/keywords/chaotic-mixing","display_name":"Chaotic mixing","score":0.5629129409790039},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.5107102394104004},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5029887557029724},{"id":"https://openalex.org/keywords/turbulent-diffusion","display_name":"Turbulent diffusion","score":0.4375111162662506},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41684138774871826},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4147833585739136},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3852134048938751},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32109004259109497},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20420843362808228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14921388030052185},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14395764470100403},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.12348911166191101},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08440729975700378}],"concepts":[{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.7755324244499207},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.768824577331543},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.6466227769851685},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6017132997512817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5729981064796448},{"id":"https://openalex.org/C76563973","wikidata":"https://www.wikidata.org/wiki/Q189452","display_name":"Laminar flow","level":2,"score":0.5727565884590149},{"id":"https://openalex.org/C131436191","wikidata":"https://www.wikidata.org/wiki/Q5072842","display_name":"Chaotic mixing","level":3,"score":0.5629129409790039},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.5107102394104004},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5029887557029724},{"id":"https://openalex.org/C110808204","wikidata":"https://www.wikidata.org/wiki/Q7854778","display_name":"Turbulent diffusion","level":3,"score":0.4375111162662506},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41684138774871826},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4147833585739136},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3852134048938751},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32109004259109497},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20420843362808228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14921388030052185},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14395764470100403},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.12348911166191101},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08440729975700378},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-010-9381-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-010-9381-2","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":"pmh:oai:CiteSeerX.psu:10.1.1.552.4695","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.552.4695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www4.ncsu.edu/~acherto/papers/CDKK.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W66278836","https://openalex.org/W85719053","https://openalex.org/W125703668","https://openalex.org/W152935068","https://openalex.org/W177539700","https://openalex.org/W860677839","https://openalex.org/W989102556","https://openalex.org/W1498729261","https://openalex.org/W1554134448","https://openalex.org/W1555627060","https://openalex.org/W1595775464","https://openalex.org/W1902819800","https://openalex.org/W1967237247","https://openalex.org/W1974265776","https://openalex.org/W1975706278","https://openalex.org/W1979253985","https://openalex.org/W2008076987","https://openalex.org/W2008481796","https://openalex.org/W2042336927","https://openalex.org/W2043760873","https://openalex.org/W2049161806","https://openalex.org/W2080028253","https://openalex.org/W2094241131","https://openalex.org/W2116729868","https://openalex.org/W2139737621","https://openalex.org/W2152098042","https://openalex.org/W2156669471","https://openalex.org/W2157862867","https://openalex.org/W2163257413","https://openalex.org/W2167748552","https://openalex.org/W2234176598","https://openalex.org/W2481716183","https://openalex.org/W2484358260","https://openalex.org/W2795407492","https://openalex.org/W2836665160","https://openalex.org/W3145587677","https://openalex.org/W4291439952"],"related_works":["https://openalex.org/W2002405504","https://openalex.org/W107551958","https://openalex.org/W2013853755","https://openalex.org/W1819152395","https://openalex.org/W1501738873","https://openalex.org/W2359281984","https://openalex.org/W137286817","https://openalex.org/W203587119","https://openalex.org/W3205297673","https://openalex.org/W2726409237"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}