{"id":"https://openalex.org/W1981867789","doi":"https://doi.org/10.15439/2014f279","title":"An error estimate of Gaussian Recursive Filter in 3Dvar problem","display_name":"An error estimate of Gaussian Recursive Filter in 3Dvar problem","publication_year":2014,"publication_date":"2014-09-29","ids":{"openalex":"https://openalex.org/W1981867789","doi":"https://doi.org/10.15439/2014f279","mag":"1981867789"},"language":"en","primary_location":{"id":"doi:10.15439/2014f279","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2014f279","pdf_url":null,"source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.15439/2014f279","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002497813","display_name":"Salvatore Cuomo","orcid":"https://orcid.org/0000-0003-4128-2588"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Salvatore Cuomo","raw_affiliation_strings":["University of Naples \u2010 Federico II Department of Mathematics and Applications \u201cR. Caccioppoli\u201d Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Naples \u2010 Federico II Department of Mathematics and Applications \u201cR. Caccioppoli\u201d Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070800537","display_name":"Ardelio Galletti","orcid":"https://orcid.org/0000-0002-5208-6219"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ardelio Galletti","raw_affiliation_strings":["University of Naples \u201cParthenope\u201d, Department of Science and Technology, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Naples \u201cParthenope\u201d, Department of Science and Technology, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018448887","display_name":"Livia Marcellino","orcid":"https://orcid.org/0000-0003-2319-8008"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Livia Marcellino","raw_affiliation_strings":["University of Naples \u201cParthenope\u201d, Department of Science and Technology, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Naples \u201cParthenope\u201d, Department of Science and Technology, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007560656","display_name":"R. Farina","orcid":null},"institutions":[{"id":"https://openalex.org/I4210111827","display_name":"CMCC Foundation - Euro-Mediterranean Center on Climate Change","ror":"https://ror.org/01tf11a61","country_code":"IT","type":"funder","lineage":["https://openalex.org/I4210111827"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Raffaele Farina","raw_affiliation_strings":["Centro Euro-Mediterraneo sui Cambiamenti Climatici (CMCC), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro Euro-Mediterraneo sui Cambiamenti Climatici (CMCC), Italy","institution_ids":["https://openalex.org/I4210111827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018448887","display_name":"Livia Marcellino","orcid":"https://orcid.org/0000-0003-2319-8008"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Livia Marcellino","raw_affiliation_strings":["University of Naples \u201cParthenope\u201d, Department of Science and Technology, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Naples \u201cParthenope\u201d, Department of Science and Technology, Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5002497813"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":null,"apc_paid":null,"fwci":41.7202,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.99931647,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2","issue":null,"first_page":"587","last_page":"595"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10029","display_name":"Climate variability and models","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/data-assimilation","display_name":"Data assimilation","score":0.7146085500717163},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6710382699966431},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.588621973991394},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5811700820922852},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5807902812957764},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.570669949054718},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5492177605628967},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5489221811294556},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.5157907009124756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4819881319999695},{"id":"https://openalex.org/keywords/gaussian-filter","display_name":"Gaussian filter","score":0.4752989709377289},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4624268412590027},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.43494173884391785},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4148111045360565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39555594325065613},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10604876279830933},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08388116955757141},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06633242964744568}],"concepts":[{"id":"https://openalex.org/C24552861","wikidata":"https://www.wikidata.org/wiki/Q2670177","display_name":"Data assimilation","level":2,"score":0.7146085500717163},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6710382699966431},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.588621973991394},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5811700820922852},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5807902812957764},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.570669949054718},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5492177605628967},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5489221811294556},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.5157907009124756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4819881319999695},{"id":"https://openalex.org/C65892221","wikidata":"https://www.wikidata.org/wiki/Q1113935","display_name":"Gaussian filter","level":3,"score":0.4752989709377289},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4624268412590027},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.43494173884391785},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4148111045360565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39555594325065613},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10604876279830933},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08388116955757141},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06633242964744568},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.15439/2014f279","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2014f279","pdf_url":null,"source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:doaj.org/article:3eb7cf19fd9e4f41b3e4bc8e7286ab5e","is_oa":false,"landing_page_url":"https://doaj.org/article/3eb7cf19fd9e4f41b3e4bc8e7286ab5e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of computer science and information systems, Vol 2, Pp 587-595 (2014)","raw_type":"article"},{"id":"pmh:oai:ricerca.uniparthenope.it:11367/30199","is_oa":false,"landing_page_url":"http://hdl.handle.net/11367/30199","pdf_url":null,"source":{"id":"https://openalex.org/S4377196432","display_name":"CINECA IRIS Institutial research information system (Parthenope University of Naples)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I183638586","host_organization_name":"Parthenope University of Naples","host_organization_lineage":["https://openalex.org/I183638586"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.15439/2014f279","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2014f279","pdf_url":null,"source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.8799999952316284,"display_name":"Life below water","id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1488278650","https://openalex.org/W1533537779","https://openalex.org/W1807159344","https://openalex.org/W1980805564","https://openalex.org/W1982901957","https://openalex.org/W2004889365","https://openalex.org/W2007339479","https://openalex.org/W2015112542","https://openalex.org/W2024499982","https://openalex.org/W2037416330","https://openalex.org/W2038967276","https://openalex.org/W2042624383","https://openalex.org/W2086946527","https://openalex.org/W2109863423","https://openalex.org/W2132361536","https://openalex.org/W2141861439","https://openalex.org/W2146079359","https://openalex.org/W2155919893","https://openalex.org/W2163649185","https://openalex.org/W2268475346","https://openalex.org/W2335131637","https://openalex.org/W2341059552","https://openalex.org/W2606231213"],"related_works":["https://openalex.org/W2355713379","https://openalex.org/W4220715471","https://openalex.org/W2945089857","https://openalex.org/W2185023212","https://openalex.org/W2368436887","https://openalex.org/W2163158482","https://openalex.org/W1492046297","https://openalex.org/W2369676483","https://openalex.org/W2994298368","https://openalex.org/W4297891612"],"abstract_inverted_index":{"Computational":[0],"kernel":[1],"of":[2,18,26,158,162],"the":[3,70,78,81,102,109,119,130,154,163],"three-dimensional":[4],"variational":[5],"data":[6,96],"assimilation":[7,97],"(3D-Var)":[8],"problem":[9],"is":[10,30,54,105],"a":[11,31,35,50,55,64,135,140],"linear":[12,103],"system,":[13],"generally":[14],"solved":[15,106],"by":[16,107,114],"means":[17],"an":[19,93],"iterative":[20,28],"method.":[21],"The":[22],"most":[23],"costly":[24],"part":[25],"each":[27,117],"step":[29],"matrix-vector":[32],"product":[33],"with":[34,92,122,134],"very":[36,56],"large":[37],"covariance":[38],"matrix":[39],"having":[40],"Gaussian":[41,51,71,120],"correlation":[42],"structure.":[43],"This":[44],"operation":[45],"may":[46],"be":[47],"interpreted":[48],"as":[49],"convolution,":[52],"that":[53],"expensive":[57],"numerical":[58],"kernel.":[59],"Recursive":[60],"Filters":[61],"(RFs)":[62],"are":[63,74],"well":[65],"known":[66],"way":[67],"to":[68],"approximate":[69],"convolution":[72,121,132],"and":[73,83,139,152,160],"intensively":[75],"applied":[76],"in":[77,80,84,156],"meteorology,":[79],"oceanography":[82],"forecast":[85],"models.":[86],"In":[87],"this":[88],"paper,":[89],"we":[90,125],"deal":[91],"oceanographic":[94],"3D-Var":[95],"scheme,":[98],"named":[99],"OceanVar,":[100],"where":[101],"system":[104],"using":[108],"Conjugate":[110],"Gradient":[111],"(GC)":[112],"method":[113],"replacing,":[115],"at":[116],"step,":[118],"RFs.":[123],"Here":[124],"give":[126],"theoretical":[127],"issues":[128],"on":[129],"discrete":[131],"approximation":[133],"first":[136],"order":[137,142],"(1st-RF)":[138],"third":[141],"(3rd-RF)":[143],"recursive":[144],"filters.":[145],"Numerical":[146],"experiments":[147],"confirm":[148],"given":[149],"error":[150],"bounds":[151],"show":[153],"benefits,":[155],"terms":[157],"accuracy":[159],"performance,":[161],"3-rd":[164],"RF.":[165]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}