http://arxiv.org/abs/1612.02288
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.
W. Handley, A. Lasenby and M. Hobson
Thu, 8 Dec 16
54/69
Comments: 8 pages, 5 figures, submitted to the Journal of Computational Physics
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