High-order stroboscopic averaging methods for highly oscillatory delay problems

Calvo, Mari Paz; Sanz Serna, Jesús María; Zhu, Beibei

High-order stroboscopic averaging methods for highly oscillatory delay problems

Author(s): Calvo, Mari Paz; Sanz Serna, Jesús María; Zhu, Beibei

Publisher: ELSEVIER BV

Issued date: 2020-06

Citation: Calvo, M. P., Sanz-Serna, J. M., & Zhu, B. (2020). High-order stroboscopic averaging methods for highly oscillatory delay problems. In Applied Numerical Mathematics, 152, 466–479

ISSN: 0168-9274

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

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: The authors are indebted to A. Murua for the discussion that started this project. M.P.C and J.M.S. were supported by project MTM2016-77660-P (AEI/FEDER, UE) funded by MINECO (Spain). M.P.C. was also supported by project VA024P17 (Consejería de Educación, Junta de Castilla y León, ES, cofinanced by FEDER funds). B.Z. was supported by the National Center for Mathematics and Interdisciplinary Sciences, CAS and the National Natural Science Foundation of China (Grant No. 11771438 and Grant No. 11901564) and by China Postdoctoral Science Foundation (Grant No. 2018M641505).

Publisher version: https://www.sciencedirect.com/science/article/pii/S0168927419303174?via%3Dihub

Project: Gobierno de España. MTM2016-77660-P

Keywords: Delay differential equations , Stroboscopic averaging , Highly oscillatory problems

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

Rights: © 2019 IMACS. Published by Elsevier B.V. All rights reserved.
Atribución-NoComercial-SinDerivadas 3.0 España

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. [+]

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