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arxiv: 1811.12767 · v1 · pith:LTPVY3ELnew · submitted 2018-11-30 · 🧮 math.NA · cs.NA

High-order stroboscopic averaging methods for highly oscillatory delay problems

classification 🧮 math.NA cs.NA
keywords delayhighlymethodsoscillatoryaccuracyalgorithmsanalyzearbitrarily
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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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