  Strongly and weakly stable linear multistep methods can behave very
differently. The latter class can produce spurious oscillations in some of the
cases for which the former class works flawlessly. The main question is if we
can find a well defined property which clearly tells the difference between
them. There are many explanations from different viewpoints. We cite Spijker's
example which shows that the explicit two step midpoint method is unstable with
respect to the Spijker norm. We show that this result can be extended for the
general weakly stable case.
