Long-time uncertainty propagation using generalized polynomial chaos and flow map composition

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Dongbin Xiu, George Em Karniadakis · SIAM Journal on Scientific Computing · 2002 · 4.7K citations

Natural Sciences, Computational Engineering, Mathematics +16

The Homogeneous Chaos

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Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows

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Natural Sciences, Mathematics, Physics +16

Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics

Habib N. Najm · Annual Review of Fluid Mechanics · 2008 · 772 citations

Computing, Computational Engineering, Computational Fluid Dynamics +13