{"id":"https://openalex.org/W4411917701","doi":"https://doi.org/10.1017/s0962492925000029","title":"Optimization problems governed by systems of PDEs with uncertainties","display_name":"Optimization problems governed by systems of PDEs with uncertainties","publication_year":2025,"publication_date":"2025-07-01","ids":{"openalex":"https://openalex.org/W4411917701","doi":"https://doi.org/10.1017/s0962492925000029"},"language":"en","primary_location":{"id":"doi:10.1017/s0962492925000029","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0962492925000029","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/AA58A4CF702C05F375F12242C8833C46/S0962492925000029a.pdf/div-class-title-optimization-problems-governed-by-systems-of-pdes-with-uncertainties-div.pdf","source":{"id":"https://openalex.org/S124973578","display_name":"Acta Numerica","issn_l":"0962-4929","issn":["0962-4929","1474-0508"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Numerica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/AA58A4CF702C05F375F12242C8833C46/S0962492925000029a.pdf/div-class-title-optimization-problems-governed-by-systems-of-pdes-with-uncertainties-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070192811","display_name":"Matthias Heinkenschloss","orcid":"https://orcid.org/0000-0002-9305-4221"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthias Heinkenschloss","raw_affiliation_strings":["Department of Computational Applied Mathematics and Operations Research, Rice University, 6100 Main St, Houston, TX 77005, USA E-mail:"],"raw_orcid":"https://orcid.org/0000-0002-9305-4221","affiliations":[{"raw_affiliation_string":"Department of Computational Applied Mathematics and Operations Research, Rice University, 6100 Main St, Houston, TX 77005, USA E-mail:","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054813354","display_name":"Drew Kouri","orcid":"https://orcid.org/0000-0002-7079-3195"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Drew P. Kouri","raw_affiliation_strings":["Optimization and Uncertainty Quantification, Sandia National Laboratories, PO Box 5800, Albuquerque, NM 87125, USA E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Optimization and Uncertainty Quantification, Sandia National Laboratories, PO Box 5800, Albuquerque, NM 87125, USA E-mail:","institution_ids":["https://openalex.org/I192454743","https://openalex.org/I4210104735"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4260,"currency":"USD","value_usd":4260},"apc_paid":{"value":4260,"currency":"USD","value_usd":4260},"fwci":0.6842,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74060512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"34","issue":null,"first_page":"491","last_page":"577"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.349700003862381,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.349700003862381,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5907799005508423},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4061395525932312},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37668246030807495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23954924941062927}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5907799005508423},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4061395525932312},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37668246030807495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23954924941062927}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0962492925000029","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0962492925000029","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/AA58A4CF702C05F375F12242C8833C46/S0962492925000029a.pdf/div-class-title-optimization-problems-governed-by-systems-of-pdes-with-uncertainties-div.pdf","source":{"id":"https://openalex.org/S124973578","display_name":"Acta Numerica","issn_l":"0962-4929","issn":["0962-4929","1474-0508"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Numerica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s0962492925000029","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0962492925000029","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/AA58A4CF702C05F375F12242C8833C46/S0962492925000029a.pdf/div-class-title-optimization-problems-governed-by-systems-of-pdes-with-uncertainties-div.pdf","source":{"id":"https://openalex.org/S124973578","display_name":"Acta Numerica","issn_l":"0962-4929","issn":["0962-4929","1474-0508"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Numerica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1090354770","display_name":null,"funder_award_id":"FA9550\u201022\u20101\u20100248","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G11630931","display_name":null,"funder_award_id":"DENA0003525","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1166951225","display_name":null,"funder_award_id":"DE-NA-0003525","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G1509273647","display_name":null,"funder_award_id":"FA9550-22-1-0004","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G2214935549","display_name":null,"funder_award_id":"NA0003525","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G280414146","display_name":null,"funder_award_id":"DE-NA0003525","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G336692854","display_name":null,"funder_award_id":"NA0003525","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G413247060","display_name":null,"funder_award_id":"DE\u2010NA,0003525","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G4176796873","display_name":null,"funder_award_id":"DENA0003525","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G4771968897","display_name":null,"funder_award_id":"NA0003525","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4903105778","display_name":null,"funder_award_id":"NA0003525","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5339743583","display_name":null,"funder_award_id":"NA0003525","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G5556147165","display_name":null,"funder_award_id":"DE-NA0003525","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6338696783","display_name":null,"funder_award_id":"DE\u2010NA0003525","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G855168022","display_name":null,"funder_award_id":"DENA-0003525","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411917701.pdf","grobid_xml":"https://content.openalex.org/works/W4411917701.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W4400652145","https://openalex.org/W4405218311","https://openalex.org/W6602913238","https://openalex.org/W6605492526","https://openalex.org/W6610306070","https://openalex.org/W6631441180","https://openalex.org/W6637573932","https://openalex.org/W6675430651","https://openalex.org/W6720531214"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"This":[0,37],"paper":[1,38],"reviews":[2],"current":[3],"theoretical":[4],"and":[5,33,53,61,82,100,131,136,168,171,178],"numerical":[6,138],"approaches":[7,177],"to":[8,75,83,90,114,145],"optimization":[9,98,125,151,164,176,188],"problems":[10,26,41,72,189],"governed":[11],"by":[12,49],"partial":[13],"differential":[14],"equations":[15],"(PDEs)":[16],"that":[17],"depend":[18],"on":[19,40,103],"random":[20,23,51],"variables":[21],"or":[22],"fields.":[24],"Such":[25],"arise":[27],"in":[28,42,93,148,155],"many":[29],"engineering,":[30],"science,":[31],"economics":[32],"societal":[34],"decision-making":[35],"tasks.":[36],"focuses":[39],"which":[43],"the":[44,50,54,59,77,85,94,97,104,120,123,129,149,182,185],"governing":[45],"PDEs":[46],"are":[47,56,62,73,153,192,199],"parametrized":[48],"variables/fields,":[52],"decisions":[55],"made":[57],"at":[58],"beginning":[60],"not":[63],"revised":[64],"once":[65],"uncertainty":[66,92,147,191],"is":[67,112],"revealed.":[68],"Examples":[69],"of":[70,79,87,96,119,133,184],"such":[71],"presented":[74],"motivate":[76],"topic":[78],"this":[80],"paper,":[81],"illustrate":[84],"impact":[86,102],"different":[88],"ways":[89,144],"model":[91,146],"formulations":[95],"problem":[99,111,126,152],"their":[101],"solution.":[105],"A":[106],"linear\u2013quadratic":[107],"elliptic":[108],"optimal":[109],"control":[110],"used":[113],"provide":[115],"a":[116],"detailed":[117],"discussion":[118],"set-up":[121],"for":[122,140,181],"risk-neutral":[124],"formulation,":[127],"study":[128],"existence":[130],"characterization":[132],"its":[134],"solution,":[135],"survey":[137],"methods":[139,180],"computing":[141],"it.":[142],"Different":[143],"PDE-constrained":[150,187],"surveyed":[154],"an":[156],"abstract":[157],"setting,":[158],"including":[159],"risk":[160],"measures,":[161],"distributionally":[162],"robust":[163],"formulations,":[165],"probabilistic":[166],"functions":[167],"chance":[169],"constraints,":[170],"stochastic":[172,179],"orders.":[173],"Furthermore,":[174],"approximation-based":[175],"solution":[183],"large-scale":[186],"under":[190],"described.":[193],"Some":[194],"possible":[195],"future":[196],"research":[197],"directions":[198],"outlined.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}
