The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
Dongbin Xiu;George Em Karniadakis.
SIAM Journal on Scientific Computing (2002)
High-Order Collocation Methods for Differential Equations with Random Inputs
Dongbin Xiu;Jan S. Hesthaven.
SIAM Journal on Scientific Computing (2005)
Numerical Methods for Stochastic Computations: A Spectral Method Approach
Dongbin Xiu.
(2010)
Modeling uncertainty in flow simulations via generalized polynomial chaos
Dongbin Xiu;George Em Karniadakis.
Journal of Computational Physics (2003)
Fast numerical methods for stochastic computations: A review
Dongbin Xiu.
Communications in Computational Physics (2009)
Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos
Dongbin Xiu;George Em Karniadakis.
Computer Methods in Applied Mechanics and Engineering (2002)
Efficient collocational approach for parametric uncertainty analysis
Dongbin Xiu.
Communications in Computational Physics (2007)
Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos
Dongbin Xiu;Didier Lucor;C.-H. Su;George Em Karniadakis.
Journal of Fluids Engineering-transactions of The Asme (2001)
Numerical Methods for Stochastic Computations
Dongbin Xiu.
(2010)
A stochastic collocation approach to Bayesian inference in inverse problems
Youssef Marzouk;Dongbin Xiu.
Communications in Computational Physics (2009)
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