2016/12/03 by Will Handley, W. J. Handley, Handley, W. J. +5
Engineering · Mathematics · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Numerical methods for differential equations #astro-ph.IM #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.1612.02288
8 pages, 5 figures, submitted to the Journal of Computational Physics
openalex publication_date 2016/12/03 · arxiv created 2016/12/09 · arxiv updated 2016/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.