@TechReport{	  it:2000-020,
  author	= {Karl H{\"o}rnell and Per L{\"o}tstedt},
  title		= {Time step selection for shock problems},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2000},
  number	= {2000-020},
  month		= aug,
  abstract	= {The solution to a conservation law is integrated in time
		  by an embedded Runge-Kutta method. The time steps are
		  chosen so that a bound on the local error is satisfied. At
		  discontinuities such as shocks in the solution the time
		  step is too pessimistic. By filtering the error estimate
		  the time steps are determined by the smooth parts of the
		  solution. The technique is justified theoretically and in
		  numerical experiments. }
}