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Intrusive methods in uncertainty quantification and their connection to kinetic theory

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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
2008Uncertainty quantification for systems of conservation laws177 cited
2008Galerkin Method for Wave Equations with Uncertain Coefficients112 cited
2013Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method66 cited
2018A hyperbolicity-preserving stochastic Galerkin approximation for uncertain hyperbolic systems of equations41 cited

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2020Spectral convergence of the generalized Polynomial Chaos reduced model obtained from the uncertain linear Boltzmann equation11 cited

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