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Bayesian Methods For Uncertainty Quantification

dc.contributor.authorBilionis, Iliasen_US
dc.contributor.chairZabaras, Nicholas Johnen_US
dc.contributor.committeeMemberBindel, David S.en_US
dc.contributor.committeeMemberVladimirsky, Alexander B.en_US
dc.contributor.committeeMemberSamorodnitsky, Gennadyen_US
dc.date.accessioned2013-09-05T15:56:45Z
dc.date.available2018-05-27T06:00:38Z
dc.date.issued2013-05-26en_US
dc.description.abstractComputer codes simulating physical systems usually have responses that consist of a set of distinct outputs (e.g., velocity and pressure) that evolve also in space and time and depend on many unknown input parameters (e.g., physical constants, initial/boundary conditions, etc.). Furthermore, essential engineering procedures such as uncertainty quantification, inverse problems or design are notoriously difficult to carry out mostly due to the limited simulations available. The aim of this work is to introduce a fully Bayesian approach for treating these problems which accounts for the uncertainty induced by the infinite number of observations.en_US
dc.identifier.otherbibid: 8267220
dc.identifier.urihttps://hdl.handle.net/1813/34013
dc.language.isoen_USen_US
dc.subjectBayesianen_US
dc.subjectuncertainty quantificationen_US
dc.subjectcomputer surrogateen_US
dc.subjectprobabilityen_US
dc.subjectlimited simulationsen_US
dc.subjectexpensive solversen_US
dc.titleBayesian Methods For Uncertainty Quantificationen_US
dc.typedissertation or thesisen_US
thesis.degree.disciplineApplied Mathematics
thesis.degree.grantorCornell Universityen_US
thesis.degree.levelDoctor of Philosophy
thesis.degree.namePh. D., Applied Mathematics

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