{"id":"https://openalex.org/W2144576196","doi":"https://doi.org/10.1515/156939506776382120","title":"Distributed optimal control of lambda\u2013omega systems","display_name":"Distributed optimal control of lambda\u2013omega systems","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2144576196","doi":"https://doi.org/10.1515/156939506776382120","mag":"2144576196"},"language":"en","primary_location":{"id":"doi:10.1515/156939506776382120","is_oa":false,"landing_page_url":"https://doi.org/10.1515/156939506776382120","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","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/A5027648225","display_name":"Alfio Borz\u0131\u0300","orcid":"https://orcid.org/0000-0002-8050-1336"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"A. Borz\u00ec","raw_affiliation_strings":["University of Graz"],"affiliations":[{"raw_affiliation_string":"University of Graz","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109253409","display_name":"Roland Griesse","orcid":null},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"funder","lineage":["https://openalex.org/I138211613"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"R. Griesse","raw_affiliation_strings":["Austrian Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Austrian Academy of Sciences","institution_ids":["https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027648225"],"corresponding_institution_ids":["https://openalex.org/I15766117"],"apc_list":null,"apc_paid":null,"fwci":1.5089,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.85201504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9966999888420105,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9965999722480774,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.7449780702590942},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.7046521902084351},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.6832975149154663},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6454613208770752},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5179823637008667},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4756331443786621},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46117934584617615},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4206179678440094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.307448148727417},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14498832821846008},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.12941259145736694},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06987294554710388}],"concepts":[{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.7449780702590942},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.7046521902084351},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6832975149154663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6454613208770752},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5179823637008667},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4756331443786621},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46117934584617615},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4206179678440094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.307448148727417},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14498832821846008},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.12941259145736694},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06987294554710388},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/156939506776382120","is_oa":false,"landing_page_url":"https://doi.org/10.1515/156939506776382120","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W594510519","https://openalex.org/W1513026061","https://openalex.org/W1527244075","https://openalex.org/W1527437055","https://openalex.org/W1555674425","https://openalex.org/W1594759473","https://openalex.org/W1597209545","https://openalex.org/W1863504080","https://openalex.org/W1866311589","https://openalex.org/W1969272920","https://openalex.org/W1994700621","https://openalex.org/W2022977680","https://openalex.org/W2038991247","https://openalex.org/W2045940260","https://openalex.org/W2059117148","https://openalex.org/W2061858150","https://openalex.org/W2065884217","https://openalex.org/W2066867844","https://openalex.org/W2067135402","https://openalex.org/W2075728316","https://openalex.org/W2078570074","https://openalex.org/W2086126894","https://openalex.org/W2092796375","https://openalex.org/W2109168354","https://openalex.org/W2113020599","https://openalex.org/W2151317657","https://openalex.org/W2158868485","https://openalex.org/W3042562017","https://openalex.org/W4240855764","https://openalex.org/W4250028192","https://openalex.org/W4250530934","https://openalex.org/W4292081050","https://openalex.org/W4292360407","https://openalex.org/W4298228534","https://openalex.org/W4298356938"],"related_works":["https://openalex.org/W2021116964","https://openalex.org/W2116481540","https://openalex.org/W4283206119","https://openalex.org/W4305008485","https://openalex.org/W2049181531","https://openalex.org/W2131567983","https://openalex.org/W1999380073","https://openalex.org/W2141249778","https://openalex.org/W2013294304","https://openalex.org/W2953188243"],"abstract_inverted_index":{"The":[0],"formulation,":[1],"analysis,":[2],"and":[3,30,38,82],"numerical":[4,85],"solution":[5],"of":[6,33,48,76,84],"distributed":[7,49],"optimal":[8],"control":[9,50],"problems":[10],"governed":[11],"by":[12],"lambda\u2013omega":[13,40,53],"systems":[14,18,54],"is":[15,66],"presented.":[16],"These":[17],"provide":[19],"a":[20,56,62,70],"universal":[21],"model":[22],"for":[23],"reaction-diffusion":[24],"phenomena":[25],"with":[26],"turbulent":[27],"behavior.":[28],"Existence":[29],"regularity":[31],"properties":[32,75],"solutions":[34],"to":[35,51,58],"the":[36,46,77],"free":[37],"controlled":[39],"models":[41],"are":[42,80,87],"investigated.":[43],"To":[44],"validate":[45],"ability":[47],"drive":[52],"from":[55],"chaotic":[57],"an":[59],"ordered":[60],"state,":[61],"space-time":[63],"multigrid":[64,78],"method":[65],"developed":[67],"based":[68],"on":[69],"new":[71],"smoothing":[72],"scheme.":[73],"Convergence":[74],"scheme":[79],"discussed":[81],"results":[83],"experiments":[86],"reported.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
