Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.jcp.2013.12.009 | J. Comput. Physics |
Keywords | Field | DocType |
low-dimensional quantity,basis adaptation,projection operator,one-dimensional subspaces,tensor product space,new method,gaussian hilbert space,homogeneous chaos space,probability density function,uncertainty quantification,stochastic analysis,polynomial chaos,curse of dimensionality | Hilbert space,Tensor product,Mathematical optimization,Mathematical analysis,Polynomial chaos,Curse of dimensionality,Linear subspace,Gaussian,Operator (computer programming),Probability density function,Mathematics | Journal |
Volume | ISSN | Citations |
259, | 0021-9991 | 10 |
PageRank | References | Authors |
0.69 | 3 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ramakrishna Tipireddy | 1 | 11 | 3.07 |
| Roger Ghanem | 2 | 183 | 26.72 |