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Numerical Solution of Scalar Conservation Laws with Random Flux Functions

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References

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2017A multilevel Monte Carlo finite difference method for random scalar degenerate convection–diffusion equations26 cited
2019A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations

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2021Uncertainty Quantification for the BGK Model of the Boltzmann Equation Using Multilevel Variance Reduced Monte Carlo Methods19 cited

2022DYNAMICAL LOW-RANK APPROXIMATION FOR BURGERS' EQUATION WITH UNCERTAINTY18 cited

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2021Multilevel Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random Data14 cited

2021Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux13 cited

2015Multilevel Monte Carlo front-tracking for random scalar conservation laws12 cited

2017Monte-Carlo Finite-Volume Methods in Uncertainty Quantification for Hyperbolic Conservation Laws10 cited