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Uncertainty analysis of simplified 1D and 2D shallow water equations via the Karhunen–Loéve expansion and Monte Carlo simulations
6 references·0 citing·20 second hop
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 2004Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes451 cited
  • 2007Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods253 cited
  • 2008Stochastic Solution for Uncertainty Propagation in Nonlinear Shallow-Water Equations27 cited
  • 2020Conditional Karhunen-Loève expansion for uncertainty quantification and active learning in partial differential equation models21 cited

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