%0 Journal Article %T Numerical Methods for the Optimal Control of Scalar Conservation Laws %A M. Herty %A L. Pareschi %A S. Steffensen %J Mathematics %D 2012 %I arXiv %X We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation schemes for scalar, one-- conservation laws. We present numerical results on tracking type problems with nonsmooth desired states and convergence results for higher--order spatial and temporal discretization schemes. %U http://arxiv.org/abs/1207.3671v1