Scientific article
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A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations

Published inFoundations of Computational Mathematics, vol. 20, no. 1
Publication date2020
Abstract

We introduce a new methodology to design uniformly accurate methods for oscillatory evolution equations. The targeted models are envisaged in a wide spectrum of regimes, from non-stiff to highly-oscillatory. Thanks to an averaging transformation, the stiffness of the problem is softened, allowing for standard schemes to retain their usual orders of convergence. Overall, high-order numerical approximations are obtained with errors and at a cost independent of the regime.

Keywords
  • Highly-oscillatory problems
  • Stroboscopic averaging
  • Standard averaging
  • Micro-macro method
  • Pullback method
  • Uniform accuracy.
Research groups
Citation (ISO format)
CHARTIER, Philippe et al. A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations. In: Foundations of Computational Mathematics, 2020, vol. 20, n° 1. doi: 10.1007/s10208-019-09413-3
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Article (Accepted version)
accessLevelPublic
Identifiers
Additional URL for this publicationhttp://link.springer.com/10.1007/s10208-019-09413-3
Journal ISSN1615-3383
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Technical informations

Creation27/03/2020 17:53:00
First validation27/03/2020 17:53:00
Update time15/03/2023 22:22:03
Status update15/03/2023 22:22:02
Last indexation31/10/2024 19:10:52
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