Sanz Serna, Jesús MaríaZhu, Beibei2021-05-042021-05-042019-07Sanz-Serna, J. M. & Zhu, B. (2019). A stroboscopic averaging algorithm for highly oscillatory delay problems. IMA Journal of Numerical Analysis, 39(3), 1110–1133.0272-4979https://hdl.handle.net/10016/32524We propose and analyse a heterogeneous multiscale method for the efficient integration of constant-delay differential equations subject to fast periodic forcing. The stroboscopic averaging method suggested here may provide approximations with O(H2+1/Ω2) errors with a computational effort that grows like H−1 (the inverse of the step size), uniformly in the forcing frequency Ω⁠.24eng© The Author(s) 2018. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications.Delay differential equationsStroboscopic averagingHighly oscillatory problemsresearch articleMatemáticashttps://doi.org/10.1093/imanum/dry020open access111031133IMA Journal of Numerical Analysis39AR/0000026336