A stroboscopic averaging algorithm for highly oscillatory delay problems Articles uri icon

publication date

  • June 2019

start page

  • 1110

end page

  • 1133

issue

  • 3

volume

  • 39

International Standard Serial Number (ISSN)

  • 0272-4979

Electronic International Standard Serial Number (EISSN)

  • 1464-3642

abstract

  • We 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/Omega2) errors with a computational effort that grows like H−1 (the inverse of the step size), uniformly in the forcing frequency Omega⁠.