On the numerical simulation of a confined cavitating tip leakage vortex under geometrical and operational uncertainties

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

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

Numerical Analysis, Engineering, Orthogonal Polynomials +10

The Homogeneous Chaos

Norbert Wiener · American Journal of Mathematics · 1938 · 3K citations

Chaos Theory, Entropy, High-dimensional Chaos +2

On the distribution of points in a cube and the approximate evaluation of integrals

I. M. Sobol · USSR Computational Mathematics and Mathematical Physics · 1967 · 2.8K citations

Geometric Modeling, Geometric Algorithm, Natural Sciences +7

Global sensitivity analysis using polynomial chaos expansions

Bruno Sudret · Reliability Engineering & System Safety · 2007 · 2.3K citations

Numerical Analysis, Engineering, Chaos Theory +5

Mathematical Basis and Validation of the Full Cavitation Model

A.K. Singhal, M. M. Athavale, Huiying Li et al. · Journal of Fluids Engineering · 2002 · 1.6K citations

Cavitation, Engineering, Fluid Mechanics +18