Non-intrusive polynomial chaos for efficient uncertainty analysis in parametric roll simulations

Author:

Cooper M. D.,Wu W.,McCue L. S.

Funder

Office of Naval Research

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,Ocean Engineering,Oceanography

Reference20 articles.

1. Metropolis N (1987) The beginning of the Monte Carlo method. Los Alamos Sci (1987 Special Issue dedicated to Stanisław Ulam) 15(584):125–130

2. Hosder S, Walters RW, Perez R (2006) A non-intrusive polynomial chaos method for uncertainty propagation in CFD simulations. In: 44th AIAA aerospace sciences meeting and exhibit, Reno, Nevada

3. Wu W, Bulian G, McCue LS (2011) Uncertainty analysis for parametric roll using non-intrusive polynomial chaos. In: Proceedings of the 12th international ship stability workshop, Washington, DC, USA

4. Wiener N (1938) The homogeneous chaos. Am J Math 60(4):897–936

5. Cameron R, Martin W (1947) The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals. Ann Math 48(2):385–392

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