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Iterative Polynomial Approximation Adapting to Arbitrary Probability Distribution
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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited
  • 1997An efficient method for parametric uncertainty analysis of numerical geophysical models334 cited
  • 2001Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos273 cited
  • 2006Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients202 cited
  • 2007Stochastic model reduction for chaos representations191 cited
  • 2008Uncertainty quantification for systems of conservation laws177 cited
  • 2010Time-dependent generalized polynomial chaos173 cited

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  • 2005Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs153 cited
  • 2005Uncertainty propagation in finite deformations––A spectral stochastic Lagrangian approach64 cited
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