High-order stroboscopic averaging methods for highly oscillatory delay problems Articles uri icon

publication date

  • June 2020

start page

  • 446

end page

  • 479

volume

  • 152

International Standard Serial Number (ISSN)

  • 0168-9274

Electronic International Standard Serial Number (EISSN)

  • 1873-5460

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

  • delay differential equations; stroboscopic averaging; highly oscillatory problems