  In this paper the analysis of an asymptotic preserving (AP) IMEX-RK finite
volume scheme for the wave equation system in the zero Mach number limit is
presented. The accuracy of a numerical scheme at low Mach numbers is its
ability to maintain the solution close to the incompressible solution for all
times, and this can be formulated in terms of the invariance of a space of
constant densities and divergence-free velocities. An IMEX-RK methodology is
employed to obtain a time semi-discrete scheme, and a space-time fully-discrete
scheme is derived by using standard finite volume techniques. The existence of
a unique numerical solution, its uniform stability with respect to the Mach
number, the AP property, and the accuracy at low Mach numbers are established
for both time semi-discrete, and space-time fully-discrete schemes. Extensive
numerical case studies confirm uniform second order convergence of the scheme
with respect to the Mach number, and all the above-mentioned properties.
