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...
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| Veröffentlicht in: | Journal of computational physics 2014-02, Vol.259 |
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| container_title | Journal of computational physics |
| container_volume | 259 |
| creator | Tipireddy, Ramakrishna Ghanem, Roger |
| description | 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. |
| doi_str_mv | 10.1016/J.JCP.2013.12.009 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0021-9991 |
| ispartof | Journal of computational physics, 2014-02, Vol.259 |
| issn | 0021-9991 1090-2716 |
| language | eng |
| recordid | cdi_osti_scitechconnect_22230868 |
| source | Elsevier ScienceDirect Journals |
| subjects | CHAOS THEORY HILBERT SPACE MATHEMATICAL METHODS AND COMPUTING POLYNOMIALS PROBABILITY DENSITY FUNCTIONS PROJECTION OPERATORS STOCHASTIC PROCESSES TENSORS |
| title | Basis adaptation in homogeneous chaos spaces |
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