Adaptive Sparse Grid Approaches to Polynomial Chaos Expansions for Uncertainty Quantification

Adaptive Sparse Grid Approaches to Polynomial Chaos Expansions for Uncertainty Quantification

<p>Polynomial chaos expansions provide an efficient and robust framework to analyze and quantify uncertainty in computational models. This dissertation explores the use of adaptive sparse grids to reduce the computational cost of determining a polynomial model surrogate while examining and imp...

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Bibliographic Details
Main Author: Winokur, Justin Gregory
Other Authors: Knio, Omar M
Published: 2015
Subjects:
Mechanical engineering
Applied mathematics
adaptive methods
polynomial chaos expansion
sparse grids
uncertainty quantification
Online Access:http://hdl.handle.net/10161/9845

Internet

http://hdl.handle.net/10161/9845

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