{"id":"https://openalex.org/W2041659296","doi":"https://doi.org/10.1137/070708330","title":"A Novel Formulation of the Adjoint Method in the Optimal Design of Quantum Electronic Devices","display_name":"A Novel Formulation of the Adjoint Method in the Optimal Design of Quantum Electronic Devices","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2041659296","doi":"https://doi.org/10.1137/070708330","mag":"2041659296"},"language":"en","primary_location":{"id":"doi:10.1137/070708330","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070708330","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5084440814","display_name":"A. F. J. Levi","orcid":"https://orcid.org/0000-0002-6983-2855"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. F. J. Levi","raw_affiliation_strings":["alevi@usc.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"alevi@usc.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042461595","display_name":"I. G. Rosen","orcid":"https://orcid.org/0000-0001-6801-9769"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I. G. Rosen","raw_affiliation_strings":["grosen@math.usc.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"grosen@math.usc.edu#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.066,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.77438527,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"5","first_page":"3191","last_page":"3223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10913","display_name":"Molecular Junctions and Nanostructures","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematics","display_name":"Mathematics","score":0.7605054378509521},{"id":"https://openalex.org/keywords/adjoint-equation","display_name":"Adjoint equation","score":0.6672542095184326},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5575213432312012},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.546790599822998},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5073902010917664},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5052669644355774},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5038220286369324},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4794448912143707},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46039313077926636},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.45947661995887756},{"id":"https://openalex.org/keywords/optimal-design","display_name":"Optimal design","score":0.44414636492729187},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4298287630081177},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4238205850124359},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41276615858078003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2581707239151001},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.23180317878723145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1641533076763153},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14014431834220886}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7605054378509521},{"id":"https://openalex.org/C165551260","wikidata":"https://www.wikidata.org/wiki/Q4428962","display_name":"Adjoint equation","level":3,"score":0.6672542095184326},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5575213432312012},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.546790599822998},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5073902010917664},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5052669644355774},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5038220286369324},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4794448912143707},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46039313077926636},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.45947661995887756},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.44414636492729187},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4298287630081177},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4238205850124359},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41276615858078003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2581707239151001},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.23180317878723145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1641533076763153},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14014431834220886},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/070708330","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070708330","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.155.4303","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.155.4303","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.usc.edu/dept/engineering/eleceng/Adv_Network_Tech/Html/publications/262.SIAM_2010.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W580341738","https://openalex.org/W639940401","https://openalex.org/W1567262822","https://openalex.org/W1575147392","https://openalex.org/W1581774080","https://openalex.org/W1587799944","https://openalex.org/W1636718625","https://openalex.org/W1967594308","https://openalex.org/W1970031354","https://openalex.org/W1973078074","https://openalex.org/W2010383704","https://openalex.org/W2022216960","https://openalex.org/W2046090405","https://openalex.org/W2219526191","https://openalex.org/W2798556646","https://openalex.org/W2947596026","https://openalex.org/W3021722416","https://openalex.org/W4242297579"],"related_works":["https://openalex.org/W3048332761","https://openalex.org/W2985995409","https://openalex.org/W2804047031","https://openalex.org/W1974935850","https://openalex.org/W2074350688","https://openalex.org/W2125545644","https://openalex.org/W4210646296","https://openalex.org/W2361732403","https://openalex.org/W4362554031","https://openalex.org/W93614833"],"abstract_inverted_index":{"The":[0,129],"adjoint":[1,116],"method":[2,70,117,134],"is":[3,29,44,58,120],"used":[4],"to":[5,13,55,111,142,151,163],"efficiently":[6],"and":[7,71,135,146],"accurately":[8],"compute":[9],"gradients":[10,100,148],"with":[11,102,149],"respect":[12,150],"the":[14,18,34,40,47,59,67,72,75,94,112,115,124,133,136,139,143,152,158,161,164],"design":[15,42,153,166],"parameters":[16,154],"in":[17,123],"identification":[19],"of":[20,23,33,49,61,74,97,114,126,132,138,160],"optimal":[21,41,165],"designs":[22],"electronic":[24],"devices":[25],"whose":[26],"physical":[27],"behavior":[28],"determined":[30],"by":[31],"solutions":[32,141,162],"Schr\u00f6dinger":[35,84],"equation.":[36],"In":[37,91],"this":[38,92],"study,":[39],"problem":[43,79],"formulated":[45],"as":[46,86,118,155,157],"minimization":[48],"a":[50,87],"least-squares":[51],"performance":[52],"metric.":[53],"Key":[54],"our":[56],"approach":[57],"use":[60,113],"finite":[62],"dimensional":[63],"approximation":[64],"based":[65],"on":[66],"propagation":[68],"matrix":[69],"reformulation":[73],"underlying":[76],"boundary":[77],"value":[78,89],"for":[80,107],"an":[81],"approximating":[82,140],"time-independent":[83],"equation":[85],"terminal":[88],"problem.":[90],"way":[93],"efficient":[95],"computation":[96],"highly":[98],"accurate":[99],"(i.e.,":[101],"zero":[103],"truncation":[104],"error)":[105],"required":[106],"optimization":[108],"becomes":[109],"amenable":[110],"it":[119],"typically":[121],"applied":[122],"context":[125],"evolution":[127],"equations.":[128],"numerical":[130],"stability":[131],"convergence":[137,159],"state":[144],"equations":[145],"their":[147],"well":[156],"problems":[167],"themselves":[168],"are":[169],"all":[170],"rigorously":[171],"established.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
