Goal Oriented Time Adaptivity Using Local Error Estimates
We consider initial value problems (IVPs) where we are interested in a quantity of interest(QoI) that is the integral in time of a functional of the solution. For these, we analyze goal orientedtime adaptive methods that use only local error estimates. A local error estimate and timestepcontroller for step-wise contributions to the QoI are derived. We prove convergence of the error in theQoI for t
