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Iterated averaging of three-scale oscillatory systems

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Publication:482248
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DOI10.4310/CMS.2014.V12.N5.A1zbMath1316.34050MaRDI QIDQ482248

Gil Ariel, Seong Jun Kim, Yen-Hsi Richard Tsai, Björn Engquist

Publication date: 22 December 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

asymptotic expansionsiterated averagingnested convolutions with averaging kernelsThree-scales oscillatory dynamical system


Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13)


Related Items (3)

Temporal upscaling in micromagnetism via heterogeneous multiscale methods ⋮ A Multiscale Computation for Highly Oscillatory Dynamical Systems using EMPIRICAL MODE DECOMPOSITION (EMD)--type Methods ⋮ Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems







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