  Leveraging on the work of De Vore and Zuazua, we further explore their
methodology and deal with two open questions presented in their paper. We show
that for a class of linear evolutionary PDEs the admissible choice of relevant
parameters used to construct the near-optimal sampling sequence is not
influenced by the spectrum of of the operator controlling the spatial part of
the PDE, but only by its order. Furthermore, we show that it is possible to
extend their algorithm to a simple version of a non-autonomous heat equation in
which the heat diffusivity coefficient depends explicitly on time.
