References

• 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
• 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
• 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
• 2009Fast Numerical Methods for Stochastic Computations: A Review608 cited
• 2004Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes451 cited
• 2004Uncertainty propagation using Wiener–Haar expansions438 cited
• 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
• 2010Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison176 cited
• 2010ASSESSMENT OF COLLOCATION AND GALERKIN APPROACHES TO LINEAR DIFFUSION EQUATIONS WITH RANDOM DATA81 cited
• 2013A stochastic Galerkin method for the Euler equations with Roe variable transformation72 cited
• 2012Multilevel Monte Carlo Finite Volume Methods for Shallow Water Equations with Uncertain Topography in Multi-dimensions48 cited
• 2017Uncertainty Quantification for Hyperbolic Systems of Conservation Laws45 cited
• 2012Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws41 cited
• 2019Comparison of intrusive and nonintrusive polynomial chaos expansion-based approaches for high dimensional parametric uncertainty quantification and propagation