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Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed
11 references·4 citing·30 second hop
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2009Fast Numerical Methods for Stochastic Computations: A Review608 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 2007Efficient Collocational Approach for Parametric Uncertainty Analysis309 cited
  • 2009A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems285 cited
  • 2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
  • 2006Long-term behavior of polynomial chaos in stochastic flow simulations173 cited
  • 2008Galerkin Method for Wave Equations with Uncertain Coefficients112 cited
  • 2003Numerical Methods and Smolyak Quadrature for Nonlinear Stochastic Partial Differential Equations61 cited

Cited by

  • 2015Analysis and computation of the elastic wave equation with random coefficients28 cited
  • 2015A Stochastic Galerkin Method for Hamilton--Jacobi Equations with Uncertainty24 cited
  • 2011Galerkin Methods for Stochastic Hyperbolic Problems Using Bi-Orthogonal Polynomials

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24 cited
  • 2019Data-driven polynomial chaos expansions: A weighted least-square approximation23 cited