English

High-order stroboscopic averaging methods for highly oscillatory delay problems

Numerical Analysis 2018-12-03 v1

Abstract

We introduce and analyze a family of heterogeneous multiscale methods for the numerical integration of highly oscillatory systems of delay differential equations with constant delays. The methodology suggested provides algorithms of arbitrarily high accuracy.

Keywords

Cite

@article{arxiv.1811.12767,
  title  = {High-order stroboscopic averaging methods for highly oscillatory delay problems},
  author = {M. P. Calvo and J. M. Sanz-Serna and Beibei Zhu},
  journal= {arXiv preprint arXiv:1811.12767},
  year   = {2018}
}
R2 v1 2026-06-23T06:26:57.365Z