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Efficient Collocational Approach for Parametric Uncertainty Analysis

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References

2007Brownian Motion and Stochastic Calculus7,421 cited
1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2016Numerical solution of stochastic differential equations5,001 cited
2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
1987Stochastic Differential Equations: An Introduction with Applications.3,963 cited
2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
2004Uncertainty propagation using Wiener–Haar expansions438 cited
2004Finite elements for elliptic problems with stochastic coefficients364 cited
1997An efficient method for parametric uncertainty analysis of numerical geophysical models334 cited

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