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pro vyhledávání: '"Robert Dan Berry"'
Publikováno v:
International Journal for Uncertainty Quantification. 4:111-132
We outline the use of a data-free inference procedure for estimation of uncertain model parameters for a chemical model of methane-air ignition. The method involves a nested pair of Markov chains, exploring both the data and parametric spaces, to dis
Autor:
John H. Carpenter, Ann E. Mattsson, Robert Dan Berry, William J. Rider, Allen C. Robinson, Bert Debusschere, Richard Roy Drake
Publikováno v:
Computers & Fluids. 83:187-193
Uncertainty quantification (UQ) deals with providing reasonable estimates of the uncertainties associated with an engineering model and propagating them to final engineering quantities of interest. We present a conceptual UQ framework for the case of
Publikováno v:
Journal of Computational Physics. 231:2180-2198
A critical problem in accurately estimating uncertainty in model predictions is the lack of details in the literature on the correlation (or full joint distribution) of uncertain model parameters. In this paper we describe a framework and a class of
Publikováno v:
SIAM Journal on Scientific Computing. 33:1212-1233
Projection onto polynomial chaos (PC) basis functions is often used to reformulate a system of ordinary differential equations (ODEs) with uncertain parameters and initial conditions as a deterministic ODE system that describes the evolution of the P