{"id":"https://openalex.org/W2477095025","doi":"https://doi.org/10.1109/acc.2016.7526773","title":"Parameter estimation in the Burgers equation using retrospective-cost model refinement","display_name":"Parameter estimation in the Burgers equation using retrospective-cost model refinement","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2477095025","doi":"https://doi.org/10.1109/acc.2016.7526773","mag":"2477095025"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2016.7526773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7526773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5036467105","display_name":"Ankit Goel","orcid":"https://orcid.org/0000-0002-4146-6275"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ankit Goel","raw_affiliation_strings":["Aerospace Engineering Department, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aerospace Engineering Department, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035881605","display_name":"Karthik Duraisamy","orcid":"https://orcid.org/0000-0002-3519-8147"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karthik Duraisamy","raw_affiliation_strings":["Aerospace Engineering Department, University of Michigan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aerospace Engineering Department, University of Michigan","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009770702","display_name":"Dennis S. Bernstein","orcid":"https://orcid.org/0000-0003-0399-3039"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dennis S. Bernstein","raw_affiliation_strings":["Aerospace Engineering Department, University of Michigan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aerospace Engineering Department, University of Michigan","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":2.1307,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86974983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"6983","last_page":"6988"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9994000196456909,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9994000196456909,"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/T11371","display_name":"Wind and Air Flow Studies","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.8780734539031982},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6240342259407043},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.5090126991271973},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4546819031238556},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4348151683807373},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42263147234916687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40197136998176575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3268807530403137},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23539218306541443},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19373300671577454},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1644483208656311}],"concepts":[{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.8780734539031982},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6240342259407043},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5090126991271973},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4546819031238556},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4348151683807373},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42263147234916687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40197136998176575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3268807530403137},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23539218306541443},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19373300671577454},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1644483208656311},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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":1,"locations":[{"id":"doi:10.1109/acc.2016.7526773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7526773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1587366697","https://openalex.org/W1883932893","https://openalex.org/W1985691328","https://openalex.org/W2019013735","https://openalex.org/W2020295264","https://openalex.org/W2029465969","https://openalex.org/W2039448238","https://openalex.org/W2043839617","https://openalex.org/W2066779753","https://openalex.org/W2103226590","https://openalex.org/W2120517503","https://openalex.org/W2124159608","https://openalex.org/W2127560478","https://openalex.org/W2152635564","https://openalex.org/W2168795429","https://openalex.org/W2172490084","https://openalex.org/W2902926108","https://openalex.org/W2992227872","https://openalex.org/W2999822534","https://openalex.org/W4292069163","https://openalex.org/W6639661602","https://openalex.org/W6771423574"],"related_works":["https://openalex.org/W2359206539","https://openalex.org/W2221895002","https://openalex.org/W4391067445","https://openalex.org/W2015908140","https://openalex.org/W1941831111","https://openalex.org/W2118964038","https://openalex.org/W2148723921","https://openalex.org/W4298106147","https://openalex.org/W4313143217","https://openalex.org/W2368637410"],"abstract_inverted_index":{"We":[0,35],"apply":[1],"retrospective":[2],"cost":[3],"model":[4],"refinement":[5],"to":[6,54,62],"parameter":[7,57],"estimation":[8],"in":[9],"a":[10,31,42,47,50,56],"nonlinear":[11],"partial":[12],"differential":[13],"equation.":[14],"Specifically,":[15],"for":[16,41,49],"the":[17,23,38,63],"scalar":[18],"Burgers":[19,44],"equation,":[20],"we":[21],"estimate":[22,55],"viscosity":[24],"from":[25],"measurements":[26],"of":[27],"flow":[28],"velocity":[29],"at":[30],"single":[32],"grid":[33],"point.":[34],"also":[36],"consider":[37],"analogous":[39],"problem":[40],"modified":[43],"equation":[45],"as":[46],"proxy":[48],"large":[51],"eddy":[52],"simulation":[53],"that":[58],"relates":[59],"subgrid-scale":[60],"stresses":[61],"resolved":[64],"strain":[65],"rate.":[66]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}