For growth from a supersaturated solution, the linear stability with r
espect to step bunching of a step train forming a vicinal face is cons
idered accounting for both capillarity and anistropy of interface kine
tics. It is found that the step motion with respect to a stagnant solu
tion provides stabilization at sufficiently large wavelengths for whic
h the typical diffusion rate is comparable to the rate of incorporatio
n of the crystallizing species at the steps, i.e., to the kinetic coef
ficient. Since capillarity can stabilize the interface against short w
avelength perturbations, the combined action of both kinetic anisotrop
y and capillarity provides complete linear stability at sufficiently h
igh growth rates.