High-order stroboscopic averaging methods for highly oscillatory delay problems
arXiv:1811.127673 citationsh-index: 41
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Provides a new numerical approach for solving a class of challenging differential equations with oscillations and delays, which is incremental in the context of existing multiscale methods.
The paper introduces a family of multiscale methods for numerically integrating highly oscillatory delay differential equations, achieving arbitrarily high accuracy.
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.