Adaptive Smolyak Pseudospectral Approximations

Polynomial approximations of computationally intensive models are central to uncertainty quantification. This paper describes an adaptive method for nonintrusive pseudospectral approximation, based on Smolyak's algorithm with generalized sparse grids. We rigorously analyze and extend the nonada...

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Bibliographic Details
Main Authors: Marzouk, Youssef M., Conrad, Patrick Raymond
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2014
Online Access:http://hdl.handle.net/1721.1/86020
https://orcid.org/0000-0001-8242-3290