On the equivalence of dynamically orthogonal and bi-orthogonal methods: Theory and numerical simulations

The Karhunen–Lòeve (KL) decomposition provides a low-dimensional representation for random fields as it is optimal in the mean square sense. Although for many stochastic systems of practical interest, described by stochastic partial differential equations (SPDEs), solutions possess this low-dimensio...

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Bibliographic Details
Main Authors: Choi, Minseok, Sapsis, Themistoklis P., Karniadakis, George Em
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Elsevier 2016
Online Access:http://hdl.handle.net/1721.1/103865
https://orcid.org/0000-0003-0302-0691