On the numerical solution of second order differential equations in the high-frequency regime
Skip to main content
eScholarship
Open Access Publications from the University of California

Department of Mathematics

Faculty bannerUC Davis

On the numerical solution of second order differential equations in the high-frequency regime

Published Web Location

https://arxiv.org/pdf/1409.6049.pdf
No data is associated with this publication.
Abstract

We describe an algorithm for the numerical solution of second order linear differential equations in the highly-oscillatory regime. It is founded on the recent observation that the solutions of equations of this type can be accurately represented using nonoscillatory phase functions. Unlike standard solvers for ordinary differential equations, the running time of our algorithm is independent of the frequency of oscillation of the solutions. We illustrate the performance of the method with several numerical experiments.

Item not freely available? Link broken?
Report a problem accessing this item