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

authors

CALVO, MARI PAZ
SANZ SERNA, JESUS MARIA
ZHU, BEIBEI

published in

Applied Numerical Mathematics Journal

publication date

June 2020

start page

446

end page

479

volume

152

Digital Object Identifier (DOI)

https://doi.org/10.1016/j.apnum.2019.11.009

full text

http://hdl.handle.net/10016/35728

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.

subjects

Mathematics

keywords

delay differential equations; stroboscopic averaging; highly oscillatory problems