Low-rank approximations for computing observation impact in 4D-Var data assimilation

dc.contributor.authorCioaca, Alexandruen
dc.contributor.authorSandu, Adrianen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2017-03-06T18:38:13Zen
dc.date.available2017-03-06T18:38:13Zen
dc.date.issued2014-07-01en
dc.description.abstractWe present an efficient computational framework to quantify the impact of individual observations in four dimensional variational data assimilation. The proposed methodology uses first and second order adjoint sensitivity analysis, together with matrix-free algorithms to obtain low-rank approximations of observation impact matrix. We illustrate the application of this methodology to important applications such as data pruning and the identification of faulty sensors for a two dimensional shallow water test system.en
dc.description.versionPublished versionen
dc.format.extent2112 - 2126 (15) page(s)en
dc.identifier.doihttps://doi.org/10.1016/j.camwa.2014.01.024en
dc.identifier.issn0898-1221en
dc.identifier.issue12en
dc.identifier.urihttp://hdl.handle.net/10919/75275en
dc.identifier.volume67en
dc.language.isoenen
dc.publisherPergamon-Elsevieren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000338816600004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMathematics, Applieden
dc.subjectMathematicsen
dc.subjectCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONSen
dc.subjectMATHEMATICS, APPLIEDen
dc.subjectData assimilationen
dc.subjectObservation impacten
dc.subjectReduced order modelen
dc.subjectVARIATIONAL DATA ASSIMILATIONen
dc.subjectSENSITIVITY-ANALYSISen
dc.subjectADJOINT SENSITIVITYen
dc.subjectMATRICESen
dc.subjectMODELSen
dc.subjectDECOMPOSITIONSen
dc.subjectEQUATIONSen
dc.subjectMETRICSen
dc.titleLow-rank approximations for computing observation impact in 4D-Var data assimilationen
dc.title.serialComputers & Mathematics With Applicationsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/COE T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineering/Computer Scienceen

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