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Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method

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References

2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
2011Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients296 cited
2005Stochastic Approaches to Uncertainty Quantification in CFD Simulations281 cited
2008Uncertainty quantification for systems of conservation laws177 cited
2005Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs153 cited
2010Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems127 cited
2012Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions113 cited
2008Galerkin Method for Wave Equations with Uncertain Coefficients112 cited
2009Padé–Legendre approximants for uncertainty analysis with discontinuous response surfaces76 cited
2004Uncertainty analysis for the steady-state flows in a dual throat nozzle74 cited

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