{"id":"https://openalex.org/W4394910185","doi":"https://doi.org/10.1016/j.laa.2024.04.011","title":"Dynamical sampling for the recovery of spatially constant source terms in dynamical systems","display_name":"Dynamical sampling for the recovery of spatially constant source terms in dynamical systems","publication_year":2024,"publication_date":"2024-04-18","ids":{"openalex":"https://openalex.org/W4394910185","doi":"https://doi.org/10.1016/j.laa.2024.04.011"},"language":"en","primary_location":{"id":"doi:10.1016/j.laa.2024.04.011","doi":"https://doi.org/10.1016/j.laa.2024.04.011","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.laa.2024.04.011","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.laa.2024.04.011","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003347271","display_name":"Akram Aldroubi","orcid":"https://orcid.org/0000-0002-3066-8357","observed_orcids":["https://orcid.org/0000-0002-3066-8357"]},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A. Aldroubi","raw_affiliation_strings":["Department of Mathematics, Vanderbilt University, Nashville, TN 37240-0001, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN 37240-0001, USA","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062149643","display_name":"Roc\u00edo D\u00edaz Mart\u00edn","orcid":"https://orcid.org/0000-0002-3732-6296","observed_orcids":["https://orcid.org/0000-0002-3732-6296"]},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. D\u00edaz Mart\u00edn","raw_affiliation_strings":["Department of Mathematics, Vanderbilt University, Nashville, TN 37240-0001, USA"],"raw_orcid":"https://orcid.org/0000-0002-3732-6296","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN 37240-0001, USA","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066965479","display_name":"Iv\u00e1n Medri","orcid":"https://orcid.org/0000-0003-2419-2193","observed_orcids":["https://orcid.org/0000-0003-2419-2193"]},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"I. Medri","raw_affiliation_strings":["Department of Mathematics, Vanderbilt University, Nashville, TN 37240-0001, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN 37240-0001, USA","institution_ids":["https://openalex.org/I200719446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003347271","https://openalex.org/A5062149643","https://openalex.org/A5066965479"],"corresponding_institution_ids":["https://openalex.org/I200719446"],"apc_list":{"value":2870,"currency":"USD","value_usd":2870},"apc_paid":{"value":2870,"currency":"USD","value_usd":2870},"fwci":2.879,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90753458,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"694","issue":null,"first_page":"148","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.5214999914169312,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.5214999914169312,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.2069000005722046,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.14270000159740448,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/dynamical-sampling","display_name":"dynamical sampling","score":0.9990000128746033},{"id":"https://openalex.org/keywords/source-recovery","display_name":"source recovery","score":0.7590000033378601},{"id":"https://openalex.org/keywords/necessary-and-sufficient-conditions","display_name":"necessary and sufficient conditions","score":0.7519999742507935},{"id":"https://openalex.org/keywords/pollutant-dispersion","display_name":"pollutant dispersion","score":0.6980000138282776}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.696412205696106},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6710479855537415},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5534220933914185},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.5311924815177917},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5219054818153381},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5193684697151184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48281344771385193},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4782775342464447},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4595109820365906},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.45544010400772095},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4530978500843048},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43189069628715515},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41041263937950134},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4016875624656677},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3717692196369171},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.23306021094322205},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11895793676376343},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09173259139060974},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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":3,"locations":[{"id":"doi:10.1016/j.laa.2024.04.011","doi":"https://doi.org/10.1016/j.laa.2024.04.011","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.laa.2024.04.011","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2308.01462","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2308.01462","pdf_url":"https://arxiv.org/pdf/2308.01462","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2308.01462","doi":"https://doi.org/10.48550/arxiv.2308.01462","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2308.01462","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.laa.2024.04.011","doi":"https://doi.org/10.1016/j.laa.2024.04.011","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.laa.2024.04.011","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5068520556","display_name":"Collaborative Research: Dynamical Sampling on Graphs: Mathematical Framework and Algorithms","funder_award_id":"2208030","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394910185.pdf","grobid_xml":"https://content.openalex.org/works/W4394910185.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1763006631","https://openalex.org/W2010923849","https://openalex.org/W2011481219","https://openalex.org/W2064314582","https://openalex.org/W2137129839","https://openalex.org/W2262820264","https://openalex.org/W2321492936","https://openalex.org/W2410470583","https://openalex.org/W2515973051","https://openalex.org/W2518990641","https://openalex.org/W2558906580","https://openalex.org/W2624002639","https://openalex.org/W2747803690","https://openalex.org/W2800596384","https://openalex.org/W2883279073","https://openalex.org/W2925616283","https://openalex.org/W2943897398","https://openalex.org/W2963549669","https://openalex.org/W3009213179","https://openalex.org/W3018755705","https://openalex.org/W3022614557","https://openalex.org/W3034820562","https://openalex.org/W3037747242","https://openalex.org/W3045419156","https://openalex.org/W3104620849","https://openalex.org/W3108874958","https://openalex.org/W3135021884","https://openalex.org/W3137336728","https://openalex.org/W3198531640","https://openalex.org/W3199731519","https://openalex.org/W4281635840","https://openalex.org/W4298000936","https://openalex.org/W4307211503","https://openalex.org/W4366987371","https://openalex.org/W4383342687"],"related_works":["https://openalex.org/W4413823811","https://openalex.org/W4413965354","https://openalex.org/W4414522674","https://openalex.org/W4366987371","https://openalex.org/W4416339555","https://openalex.org/W1515165493","https://openalex.org/W4406961177","https://openalex.org/W4412177264","https://openalex.org/W4312918151","https://openalex.org/W7215809325"],"abstract_inverted_index":{"In":[0],"this":[1,67,151],"paper,":[2],"we":[3],"investigate":[4],"the":[5,23,45,55,57,70,103,142,163],"problem":[6],"of":[7,26,47,72,105,144,165],"source":[8],"recovery":[9,71,164],"in":[10,66,167],"a":[11,19,36,95,114,159],"dynamical":[12,27,152,168],"system":[13],"utilizing":[14],"space-time":[15,82],"samples.":[16,83],"This":[17,84,155],"is":[18,69],"specific":[20,115],"issue":[21],"within":[22],"broader":[24],"field":[25],"sampling,":[28],"which":[29],"involves":[30],"collecting":[31],"samples":[32,118],"from":[33,108],"solutions":[34],"to":[35,101,148],"differential":[37],"equation":[38],"across":[39,76,113],"both":[40,77,158],"space":[41,78],"and":[42,79,111,130,138,170],"time":[43],"with":[44],"aim":[46],"recovering":[48],"critical":[49],"data,":[50],"such":[51],"as":[52],"initial":[53],"values,":[54],"sources,":[56],"driving":[58],"operator,":[59],"or":[60],"other":[61],"relevant":[62],"details.":[63],"Our":[64],"focus":[65],"study":[68],"unknown,":[73],"stationary":[74],"sources":[75,166],"time,":[80],"leveraging":[81],"research":[85],"may":[86],"have":[87],"significant":[88],"applications;":[89],"for":[90,97,141,162],"instance,":[91],"it":[92],"could":[93,119],"provide":[94],"model":[96],"strategically":[98],"placing":[99],"devices":[100,124,147],"measure":[102],"number":[104],"pollutants":[106],"emanating":[107],"factory":[109],"smokestacks":[110],"dispersing":[112],"area.":[116],"Space-time":[117],"be":[120],"collected":[121],"using":[122],"measuring":[123,146],"placed":[125],"at":[126,132],"various":[127],"spatial":[128],"locations":[129],"activated":[131],"different":[133],"times.":[134],"We":[135],"present":[136],"necessary":[137],"sufficient":[139],"conditions":[140],"positioning":[143],"these":[145],"successfully":[149],"resolve":[150],"sampling":[153],"problem.":[154],"paper":[156],"provides":[157],"theoretical":[160],"foundation":[161],"systems":[169],"potential":[171],"practical":[172],"applications.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2024-04-19T00:00:00"}
