Spectral and multiresolution Wiener expansions of oscillatory stochastic processes

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

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

Natural Sciences, Computational Engineering, Mathematics +16

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering

Steven H. Strogatz, Mark J. Friedman, A. John Mallinckrodt et al. · Computers in Physics · 1994 · 4.7K citations

Natural Sciences, Physics, Dynamical Systems +7

Modeling uncertainty in flow simulations via generalized polynomial chaos

Dongbin Xiu, George Em Karniadakis · Journal of Computational Physics · 2003 · 1.4K citations

Computing, Computational Engineering, Physics +13

A Stochastic Projection Method for Fluid Flow

Olivier Le Maı̂tre, Matthew T. Reagan, Habib N. Najm et al. · Journal of Computational Physics · 2002 · 494 citations

Engineering, Computational Engineering, Computational Fluid Dynamics +6

Essential wavelets for statistical applications and data analysis

Choice Reviews Online · 1997 · 448 citations

Natural Sciences, Mathematics, Statistics +12