amplitudes as in equation and list these in section \[sec:cases\] and table \[tab:forcing\_response\].

Numerical parameters
--------------------

For the capillary cases, the domain is a sphere whose radius is $2{R}$ (see section \[sec:numerics\] and figures \[fig:l=2\] and \[fig:l=2\_out\]). The Eulerian mesh is uniform and Cartesian, with a resolution of $N_x^3$, which is generally $128^3$. The Lagrangian triangular grid used to represent the interface is constructed in such a way that the sides of the triangles remain close to the length of the diagonals of the cubic Eulerian mesh. The grid spacing $\Delta x=4R/N_x$ for the capillary cases should be compared to the circumference $2\pi R$ of the drop and to the approximate wavelengths $2\pi R/\ell$. The radius and circumference are spanned by $R/\Delta x = N_x/4$ and $2\pi R/\Delta x=N_x \pi/2$, which are 32 and 201, respectively for the $128^3$ grid. The number of gridpoints per wavelength $N_x\pi/(2\ell)$ goes from 201 for $\ell=1$ to 33 points for $\ell=6$ for this grid. The interface is represented by approximately $4\pi R^2/(\Delta x)^2
= N_x^2\pi/4$ points, i.e. 12,868 points for $N_x=128$. For the gravitational cases, the radius of the bounding sphere is $2.4{R}$, leading to slightly different but similar numbers for the resolution, e.g. 