Here, we give an example of the opposite effect in case of time-dependent arrivals.
Remark 1 A different approach in case of time-dependent arrivals is the stationary process approximation, see [ 18].
The proof of Lemma 3.3 in the case of time-dependent coefficients is given in [15] and [13].
In the case of time-dependent travel speed, this assumption is not valid though.
In the case of time-dependent FBA, choosing the time step intervals for the simulation implies a trade-off between the risk of propagating an error due to the numerical solution in case of a long time step and the high computation time in case of a short time step.
However, in case of a time-dependent gradient operator, which can appear in case of time-varying meshes, additional order conditions need to be satisfied to ensure the correct order of accuracy.
The method is the extension of the approach in [8, 9, 11] to the case of time-dependent metrics.
On the other hand, in the present paper we tackle the case of time-dependent constraints (even if of a peculiar form).
Specialized conditions are provided for the case of time-dependent quadratic IDSs with prescribed resetting times.
This generalizes previous methods tailored to stationary data to the case of time-dependent input.
