A stroboscopic averaging algorithm for highly oscillatory delay problems
Numerical Analysis
2018-03-16 v2 Dynamical Systems
Abstract
We propose and analyze a heterogenous multiscale method for the efficient integration of constant-delay differential equations subject to fast periodic forcing. The stroboscopic averaging method (SAM) suggested here may provide approximations with \(\mathcal{O}(H^2+1/\Omega^2)\) errors with a computational effort that grows like \(H^{-1}\) (the inverse of the stepsize), uniformly in the forcing frequency Omega.
Cite
@article{arxiv.1703.07300,
title = {A stroboscopic averaging algorithm for highly oscillatory delay problems},
author = {J. M. Sanz-Serna and Beibei Zhu},
journal= {arXiv preprint arXiv:1703.07300},
year = {2018}
}