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We present an a posteriori error analysis for one-dimensional randomhyperbolic systems of conservation laws. For the discretization of the randomspace we consider the Non-Intrusive Spectral Projection method, thespatio-temporal discretization uses the Runge--Kutta Discontinuous Galerkinmethod. We derive an a posteriori error estimator using smooth reconstructionsof the numerical solution, which combined with the relative entropy stabilityframework yields computable error bounds for the space-stochasticdiscretization error. Moreover, we show that the estimator admits a splittinginto a stochastic and deterministic part.

An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws