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 problemsA stroboscopic averaging algorithm for highly oscillatory delay problemsresearch articleMatemáticashttps://doi.org/10.1093/imanum/dry020open access111031133IMA Journal of Numerical Analysis39AR/0000026336