Identification of composite uncertain material parameters from experimental modal data

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

Kendall's Advanced Theory of Statistics.

Aa, Alan Stuart, Keith Ord · Journal of the American Statistical Association · 1995 · 2.7K citations

Statistical Foundation, Statistical Inference, Statistical Science +3

Optimal Discretization of Random Fields

Chun‐Ching Li, Armen Der Kiureghian · Journal of Engineering Mechanics · 1993 · 713 citations

Numerical Analysis, Large Deviations, Engineering +18

An adaptive multi-element generalized polynomial chaos method for stochastic differential equations

Xiaoliang Wan, George Em Karniadakis · Journal of Computational Physics · 2005 · 569 citations

Numerical Analysis, Engineering, Chaos Theory +7