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High-order stroboscopic averaging methods for highly oscillatory delay problems

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URI: https://hdl.handle.net/10016/35728
ISSN: 0168-9274
DOI: https://doi.org/10.1016/j.apnum.2019.11.009
UXXI: AR/0000026332
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High_ANM_2019.ps.pdf (609.04 KB)
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2020-06
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ELSEVIER BV
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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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Delay differential equations, Stroboscopic averaging, Highly oscillatory problems
Bibliographic 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
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