{"id":"https://openalex.org/W4361986939","doi":"https://doi.org/10.1109/tac.2023.3263753","title":"Numerical Computation of Neumann Controls for the Heat Equation on a Finite Interval","display_name":"Numerical Computation of Neumann Controls for the Heat Equation on a Finite Interval","publication_year":2023,"publication_date":"2023-03-31","ids":{"openalex":"https://openalex.org/W4361986939","doi":"https://doi.org/10.1109/tac.2023.3263753"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3263753","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3263753","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5076763613","display_name":"Konstantinos Kalimeris","orcid":"https://orcid.org/0000-0002-7337-6231"},"institutions":[{"id":"https://openalex.org/I206127235","display_name":"Academy of Athens","ror":"https://ror.org/00qsdn986","country_code":"GR","type":"education","lineage":["https://openalex.org/I206127235"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Konstantinos Kalimeris","raw_affiliation_strings":["Mathematics Research Center, Academy of Athens, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Mathematics Research Center, Academy of Athens, Athens, Greece","institution_ids":["https://openalex.org/I206127235"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002370197","display_name":"T\u00fcrker \u00d6zsar\u0131","orcid":"https://orcid.org/0000-0003-4240-5252"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"T\u00fcrker \u00d6zsar\u0131","raw_affiliation_strings":["Department of Mathematics, Bilkent University, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bilkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008391218","display_name":"\u039d\u03b9\u03ba\u03cc\u03bb\u03b1\u03bf\u03c2 \u0394\u03b9\u03ba\u03b1\u03af\u03bf\u03c2","orcid":"https://orcid.org/0000-0001-9865-0260"},"institutions":[{"id":"https://openalex.org/I206127235","display_name":"Academy of Athens","ror":"https://ror.org/00qsdn986","country_code":"GR","type":"education","lineage":["https://openalex.org/I206127235"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nikolaos Dikaios","raw_affiliation_strings":["Mathematics Research Center, Academy of Athens, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Mathematics Research Center, Academy of Athens, Athens, Greece","institution_ids":["https://openalex.org/I206127235"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5076763613"],"corresponding_institution_ids":["https://openalex.org/I206127235"],"apc_list":null,"apc_paid":null,"fwci":2.2537,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.87633108,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"69","issue":"1","first_page":"161","last_page":"173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9993000030517578,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9987000226974487,"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/von-neumann-stability-analysis","display_name":"Von Neumann stability analysis","score":0.689997136592865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6259109377861023},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.5798500180244446},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5368754267692566},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.5267668962478638},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5159593224525452},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.5047551393508911},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5017919540405273},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4848514795303345},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.47797033190727234},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4532219171524048},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.44083431363105774},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4319016933441162},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33734700083732605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2987940311431885},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23671743273735046},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10807442665100098}],"concepts":[{"id":"https://openalex.org/C71477052","wikidata":"https://www.wikidata.org/wiki/Q458556","display_name":"Von Neumann stability analysis","level":4,"score":0.689997136592865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6259109377861023},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.5798500180244446},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5368754267692566},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.5267668962478638},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5159593224525452},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.5047551393508911},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5017919540405273},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4848514795303345},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.47797033190727234},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4532219171524048},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.44083431363105774},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4319016933441162},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33734700083732605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2987940311431885},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23671743273735046},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10807442665100098},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3263753","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3263753","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W204347044","https://openalex.org/W630764638","https://openalex.org/W1574206859","https://openalex.org/W1597976016","https://openalex.org/W1981740375","https://openalex.org/W2002744405","https://openalex.org/W2006207162","https://openalex.org/W2014228145","https://openalex.org/W2020684833","https://openalex.org/W2033517841","https://openalex.org/W2049687571","https://openalex.org/W2053023596","https://openalex.org/W2066096538","https://openalex.org/W2070461805","https://openalex.org/W2082009002","https://openalex.org/W2087536702","https://openalex.org/W2094143568","https://openalex.org/W2119461276","https://openalex.org/W2126306296","https://openalex.org/W2167017315","https://openalex.org/W2304678551","https://openalex.org/W2499641798","https://openalex.org/W2570676862","https://openalex.org/W2741314003","https://openalex.org/W2766922840","https://openalex.org/W2788533761","https://openalex.org/W2963578704","https://openalex.org/W2964206258","https://openalex.org/W3000591973","https://openalex.org/W3027475226","https://openalex.org/W3045942965","https://openalex.org/W3160922718","https://openalex.org/W3202720580","https://openalex.org/W4302819252","https://openalex.org/W4307599309","https://openalex.org/W4312534232","https://openalex.org/W4389262325","https://openalex.org/W6742150121"],"related_works":["https://openalex.org/W2169469906","https://openalex.org/W2134050719","https://openalex.org/W1996622347","https://openalex.org/W1990829983","https://openalex.org/W4305028647","https://openalex.org/W2747570188","https://openalex.org/W1532087607","https://openalex.org/W3091265647","https://openalex.org/W61736495","https://openalex.org/W2994324903"],"abstract_inverted_index":{"This":[0,24],"article":[1],"presents":[2],"a":[3,26,76],"new":[4],"numerical":[5,44,73],"method,":[6],"which":[7,37],"approximates":[8],"Neumann":[9],"type":[10,87],"null":[11,54],"controls":[12],"for":[13,29,51],"the":[14,21,34,39,53,61,65,69,72],"heat":[15],"equation":[16],"and":[17,85],"is":[18,25],"based":[19],"on":[20],"Fokas":[22,66],"method.":[23],"direct":[27],"method":[28,67],"solving":[30],"problems":[31],"originating":[32],"from":[33],"control":[35,55],"theory,":[36],"allows":[38],"realization":[40],"of":[41,64,71,79,88],"an":[42],"efficient":[43],"algorithm":[45,74],"that":[46],"requires":[47],"small":[48,58],"computational":[49],"effort":[50],"determining":[52],"with":[56],"exponentially":[57],"error.":[59],"Furthermore,":[60],"unified":[62],"character":[63],"makes":[68],"extension":[70],"to":[75],"wide":[77],"range":[78],"other":[80],"linear":[81],"partial":[82],"differential":[83],"equations":[84],"different":[86],"boundary":[89],"conditions":[90],"straightforward.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
