  We demonstrate the effectiveness of a novel scheme for numerically solving
linear differential equations whose solutions exhibit extreme oscillation. We
take a standard Runge-Kutta approach, but replace the Taylor expansion formula
with a Wentzel-Kramers-Brillouin method. The method is demonstrated by
application to the Airy equation, along with a more complicated
burst-oscillation case. Finally, we compare our scheme to existing approaches.
