A MEASURE-THEORETIC COMPUTATIONAL METHOD FOR INVERSE SENSITIVITY PROBLEMS I: METHOD AND ANALYSIS

We consider the inverse sensitivity analysis problem of quantifying the uncertainty of inputs to a deterministic map given specified uncertainty in a linear functional of the output of the map. This is a version of the model calibration or parameter estimation problem for a deterministic map. We ass...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 49; no. 5/6; pp. 1836 - 1859
Main Authors:	BREIDT, J., BUTLER, T., ESTEP, D.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.09.2011
Subjects:	Adjoints Aeronautics Alloys Approximation Density Determinism Exact sciences and technology Global analysis, analysis on manifolds Heat Inverse problems Laboratories Load Mathematical analysis Mathematical independent variables Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical linear algebra Parameter estimation Parametric models Random variables Real functions Sciences and techniques of general use Sensitivity analysis Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Values nonparametric density estimation Parameter estimation Sensitivity analysis Approximation Numerical linear algebra model calibration Probability distribution 34F05 Inverse problem Regularization method inverse sensitivity analysis Numerical analysis 60-08 set-valued inverse Distribution function adjoint problem Ill posed problem Linear functional Random variable density estimation sensitivity analysis parameter estimation
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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