Figure 9.

Example 3.7: homogenization of the convection equation. (a,b) are the simulations computed using 1 048 576 grid points with $ϵ=\frac{1}{16}$ (a) and $ϵ=\frac{1}{64}$ (b). The larger value of ϵ yields an oscillatory solution while the smaller value is closer (numerically) to the homogenized dynamics. (c) is the learned solution using 65 536 grid points. (Online version in colour.)