An algorithm for the study of parameter dependence for hyperbolic systems
Tuesday 18th January 2011
Arioli, G.; Gamba, M.
We introduce a new technique for computing the explicit dependence of the result of the numerical integration of a conservation law with respect to one or more parameters. The method is intrusive, but it relies on an automatic differentiation algorithm, therefore it requires minimal modications of the code used for the plain numerical integration. We present an example of application to the study of the shock tube, that is Euler s system of equations with discontinuous initial conditions.