  This report considers linear multistep methods through time filtering. The
approach has several advantages. It is modular and requires the addition of
only one line of additional code. Error estimation and variable timesteps is
straightforward and the individual effect of each step\ is conceptually clear.
We present its development for the backward Euler method and a curvature
reducing time filter leading to a 2-step, strongly A-stable, second order
linear multistep method.
