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Journal Articles Numerische Mathematik Year : 2017

Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics

Abstract

In this paper, we are concerned with the application of the recently introduced multi-revolution composition methods, on the one hand, and two-scale methods, on the other hand, to a class of highly-oscillatory evolution equations with multiple frequencies. The main idea relies on a well-balanced reformulation of the problem as an equivalent mono-frequency equation which allows for the use of the two aforementioned techniques.
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Dates and versions

hal-01281950 , version 1 (04-03-2016)
hal-01281950 , version 2 (10-10-2016)

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Cite

Philippe Chartier, Mohammed Lemou, Florian Méhats. Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Numerische Mathematik, 2017, 136 (4), pp.907-939. ⟨10.1007/s00211-016-0864-4⟩. ⟨hal-01281950v2⟩
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