{"id":"https://openalex.org/W2089869036","doi":"https://doi.org/10.1109/cdc.2014.7039706","title":"Time, space, and space-time hybrid clustering POD with application to the Burgers' equation","display_name":"Time, space, and space-time hybrid clustering POD with application to the Burgers' equation","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2089869036","doi":"https://doi.org/10.1109/cdc.2014.7039706","mag":"2089869036"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7039706","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039706","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5076106442","display_name":"Samir Sahyoun","orcid":null},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Samir Sahyoun","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, Tennessee, USA","Department of Electrical Engineering and Computer Science University of Tennessee, Knoxville, 37996, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, Tennessee, USA","institution_ids":["https://openalex.org/I75027704"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science University of Tennessee, Knoxville, 37996, USA","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107210257","display_name":"Seddik M. Djouadi","orcid":"https://orcid.org/0000-0003-4925-723X"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Seddik M. Djouadi","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, Tennessee, USA","Department of Electrical Engineering and Computer Science University of Tennessee, Knoxville, 37996, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, Tennessee, USA","institution_ids":["https://openalex.org/I75027704"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science University of Tennessee, Knoxville, 37996, USA","institution_ids":["https://openalex.org/I75027704"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076106442"],"corresponding_institution_ids":["https://openalex.org/I75027704"],"apc_list":null,"apc_paid":null,"fwci":0.469,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.65873175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2088","last_page":"2093"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9824000000953674,"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":0.9688000082969666,"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/cluster-analysis","display_name":"Cluster analysis","score":0.8580619096755981},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49631935358047485},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4959467351436615},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.49012765288352966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4876900911331177},{"id":"https://openalex.org/keywords/space-time","display_name":"Space time","score":0.445291131734848},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.43434178829193115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3767821192741394},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36654436588287354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3594678044319153},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35104990005493164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22908154129981995},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1656840741634369},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11242789030075073},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.061900943517684937}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8580619096755981},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49631935358047485},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4959467351436615},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.49012765288352966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4876900911331177},{"id":"https://openalex.org/C96402334","wikidata":"https://www.wikidata.org/wiki/Q3030793","display_name":"Space time","level":2,"score":0.445291131734848},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.43434178829193115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3767821192741394},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36654436588287354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3594678044319153},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35104990005493164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22908154129981995},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1656840741634369},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11242789030075073},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.061900943517684937},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2014.7039706","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039706","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W655106915","https://openalex.org/W1535312356","https://openalex.org/W1579236455","https://openalex.org/W1845740698","https://openalex.org/W1981905989","https://openalex.org/W1997027646","https://openalex.org/W2002936353","https://openalex.org/W2011464857","https://openalex.org/W2017745440","https://openalex.org/W2024704551","https://openalex.org/W2046269903","https://openalex.org/W2059316647","https://openalex.org/W2062393840","https://openalex.org/W2070851600","https://openalex.org/W2091053126","https://openalex.org/W2096345667","https://openalex.org/W2098077093","https://openalex.org/W2102162541","https://openalex.org/W2109701257","https://openalex.org/W2120756413","https://openalex.org/W2147046190","https://openalex.org/W2159840341","https://openalex.org/W2169114134","https://openalex.org/W2506261713","https://openalex.org/W4236718688","https://openalex.org/W4285719527","https://openalex.org/W6650932037","https://openalex.org/W6653030037"],"related_works":["https://openalex.org/W2615167981","https://openalex.org/W2037143908","https://openalex.org/W2782555567","https://openalex.org/W4243325204","https://openalex.org/W72566090","https://openalex.org/W3150371131","https://openalex.org/W2387283721","https://openalex.org/W2077597484","https://openalex.org/W4391038737","https://openalex.org/W4298130764"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"investigate":[4],"new":[5],"methods":[6],"that":[7,131],"make":[8],"the":[9,18,40,78,85,111,115,151],"Proper":[10],"Orthogonal":[11],"Decomposition":[12],"(POD)":[13],"more":[14],"accurate":[15],"in":[16,48,67,106],"reducing":[17],"order":[19],"of":[20,36,77,114,118],"large":[21],"scale":[22],"nonlinear":[23,145],"systems.":[24],"The":[25],"general":[26],"framework":[27],"is":[28,95,104,124],"to":[29,33,39,58,99,142],"apply":[30,139],"POD":[31],"locally":[32],"clusters":[34,83],"instead":[35,117],"applying":[37],"it":[38],"global":[41],"system.":[42],"Each":[43],"cluster":[44],"contains":[45],"relatively":[46],"close":[47],"distance":[49],"behavior":[50,136],"within":[51],"itself,":[52],"and":[53,70,91,97,120,134,159,162],"considerably":[54],"far":[55],"with":[56],"respect":[57],"other":[59],"clusters.":[60],"We":[61,138],"introduce":[62],"three":[63],"different":[64,89],"clustering":[65,103,123,129],"schemes":[66],"time,":[68],"space":[69,112,133],"space-time.":[71],"For":[72],"time":[73,75,135],"clustering,":[74],"snapshots":[76],"solution":[79,86,116],"are":[80],"grouped":[81],"into":[82],"where":[84],"exhibits":[87],"significantly":[88],"features":[90],"a":[92,107,127,144,164],"local":[93],"basis":[94],"pre-computed":[96],"assigned":[98],"each":[100],"cluster.":[101],"Space":[102],"done":[105],"similar":[108],"fashion":[109],"for":[110,154],"vectors":[113],"snapshots,":[119],"finally":[121],"space-time":[122],"applied":[125],"through":[126],"hybrid":[128],"scheme":[130],"combines":[132],"together.":[137],"our":[140],"method":[141],"reduce":[143],"convective":[146],"PDE":[147],"system":[148],"governed":[149],"by":[150],"Burgers'":[152],"equation":[153],"fluid":[155],"flows":[156],"over":[157,167],"1D":[158],"2D":[160],"domains":[161],"show":[163],"significant":[165],"improvement":[166],"conventional":[168],"POD.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
