{"id":"https://openalex.org/W2085881580","doi":"https://doi.org/10.1515/cmam-2013-0018","title":"Operator Differential-Algebraic Equations Arising in Fluid Dynamics","display_name":"Operator Differential-Algebraic Equations Arising in Fluid Dynamics","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2085881580","doi":"https://doi.org/10.1515/cmam-2013-0018","mag":"2085881580"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2013-0018","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2013-0018","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"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":"Computational Methods in Applied 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/A5085447239","display_name":"Etienne Emmrich","orcid":"https://orcid.org/0000-0001-9869-0334"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Etienne Emmrich","raw_affiliation_strings":["1Institut f\u00fcr Mathematik, TU Berlin, Stra\u00dfe des 17.\u00a0Juni 136, 10623 Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"1Institut f\u00fcr Mathematik, TU Berlin, Stra\u00dfe des 17.\u00a0Juni 136, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016940729","display_name":"Volker Mehrmann","orcid":"https://orcid.org/0000-0001-5051-2870"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Volker Mehrmann","raw_affiliation_strings":["2Institut f\u00fcr Mathematik, TU Berlin, Stra\u00dfe des 17.\u00a0Juni 136, 10623 Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"2Institut f\u00fcr Mathematik, TU Berlin, Stra\u00dfe des 17.\u00a0Juni 136, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085447239"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":1.4136,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.8081914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"13","issue":"4","first_page":"443","last_page":"470"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9915000200271606,"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/mathematics","display_name":"Mathematics","score":0.7817015647888184},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7193971276283264},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5267386436462402},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.515245258808136},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.4922980070114136},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.48121264576911926},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.46222081780433655},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4480472505092621},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4014526605606079},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39249783754348755},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3877752423286438},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12848851084709167}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7817015647888184},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7193971276283264},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5267386436462402},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.515245258808136},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.4922980070114136},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.48121264576911926},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.46222081780433655},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4480472505092621},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4014526605606079},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39249783754348755},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3877752423286438},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12848851084709167},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2013-0018","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2013-0018","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"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":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4298023222","https://openalex.org/W2611574177","https://openalex.org/W2049253768"],"abstract_inverted_index":{"Abstract.":[0],"Existence":[1],"and":[2,30],"uniqueness":[3],"of":[4,14,23,36],"generalized":[5],"solutions":[6],"to":[7,70],"initial":[8],"value":[9],"problems":[10],"for":[11,87],"a":[12,54],"class":[13,22],"abstract":[15],"differential-algebraic":[16],"equations":[17,24,50],"(DAEs)":[18],"is":[19],"shown.":[20],"The":[21,49,65,75],"covers,":[25],"in":[26,77,82,94,101],"particular,":[27],"the":[28,34,88],"Stokes":[29],"Oseen":[31],"problem":[32,66],"describing":[33],"motion":[35],"an":[37],"incompressible":[38,41],"or":[39],"nearly":[40],"Newtonian":[42],"fluid":[43],"but":[44],"also":[45],"their":[46],"spatial":[47],"semi-discretization.":[48],"are":[51,68,80,99],"governed":[52],"by":[53],"block":[55],"operator":[56],"matrix":[57],"with":[58,84],"entries":[59],"that":[60,90],"fulfill":[61],"suitable":[62],"inf-sup":[63],"conditions.":[64,74],"data":[67],"required":[69],"satisfy":[71],"appropriate":[72],"consistency":[73],"results":[76],"infinite":[78],"dimensions":[79],"compared":[81],"detail":[83],"those":[85],"known":[86],"DAEs":[89],"arise":[91],"after":[92],"semi-discretization":[93],"space.":[95],"Explicit":[96],"solution":[97],"formulas":[98],"derived":[100],"both":[102],"cases.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-03T08:47:05.690250","created_date":"2025-10-10T00:00:00"}
