17–21 Jun 2019
Gran Sasso Science Institute, L'Aquila
Europe/Rome timezone

High-order stroboscopic averaging methods for highly oscillatory delay problems

18 Jun 2019, 15:15
45m
Gran Sasso Science Institute, L'Aquila

Gran Sasso Science Institute, L'Aquila

Viale F. Crispi, 7 67100 L'Aquila

Speaker

Prof. Mari Paz Calvo (University of Valladolid)

Description

In this talk we introduce and analyze 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 order, which are based on the idea of the stroboscopic averaging method for highly oscillatory ordinary differential equations. Numerical experiments illustrating the performance of the methods are also reported.

Co-authors

Beibei Zhu (National Center for Mathematics and Interdisciplinary Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences) Prof. Jesus M. Sanz Serna (University Charles III, Madrid)

Presentation materials

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