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Title: Basis adaptation in homogeneous chaos spaces

We present a new method for the characterization of subspaces associated with low-dimensional quantities of interest (QoI). The probability density function of these QoI is found to be concentrated around one-dimensional subspaces for which we develop projection operators. Our approach builds on the properties of Gaussian Hilbert spaces and associated tensor product spaces.
Authors:
 [1] ;  [2]
  1. Computational Mathematics Department, Pacific Northwest National Laboratory, PO Box 999, Richland, WA 99352 (United States)
  2. 210 KAP Hall, University of Southern California, Los Angeles, CA 90089 (United States)
Publication Date:
OSTI Identifier:
22230868
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 259; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CHAOS THEORY; HILBERT SPACE; POLYNOMIALS; PROBABILITY DENSITY FUNCTIONS; PROJECTION OPERATORS; STOCHASTIC PROCESSES; TENSORS