Galerkin reduced-order modeling scheme for time-dependent randomly parametrized linear partial differential equations-Reference-Cited by-同舟云学术

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Galerkin reduced-order modeling scheme for time-dependent randomly parametrized linear partial differential equations

Published:2012-06-07 Issue:4 Volume:92 Page:370-398
ISSN:0029-5981
Container-title:International Journal for Numerical Methods in Engineering
language:en
Short-container-title:Int. J. Numer. Meth. Engng

Author:

Audouze Christophe¹,Nair Prasanth B.²

Affiliation:

1. The Laboratory of Signals and Systems (L2S); University Paris-Sud Orsay - CNRS - Supélec; 3 rue Joliot-Curie; 91192; Gif-sur-Yvette; France

2. University of Toronto Institute for Aerospace Studies; 4925 Dufferin Street; Toronto; Ontario; M3H 5T6; Canada

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference28 articles.

1. The homogeneous chaos;Wiener;American Journal of Mathematics,1938

2. Stochastic Finite Elements: A Spectral Approach

3. Modeling uncertainty in steady-state diffusion problems via generalized polynomial chaos;Xiu;Computer Methods in Applied Mechanics and Engineering,2003

4. Stochastic model reduction for chaos representations;Doostan;Computer Methods in Applied Mechanics and Engineering,2007

5. High order collocation methods for differential equations with random inputs;Xiu;SIAM Journal of Scientific Computing,2005

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