Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems.

@article{Sapsis2013StatisticallyAL,
  title={Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems.},
  author={Themistoklis P. Sapsis and Andrew J. Majda},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={2013},
  volume={110 34},
  pages={13705-10}
}
A framework for low-order predictive statistical modeling and uncertainty quantification in turbulent dynamical systems is developed here. These reduced-order, modified quasilinear Gaussian (ROMQG) algorithms apply to turbulent dynamical systems in which there is significant linear instability or linear nonnormal dynamics in the unperturbed system and energy-conserving nonlinear interactions that transfer energy from the unstable modes to the stable modes where dissipation occurs, resulting in… CONTINUE READING
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Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge

  • P Holmes, JL Lumley, G Berkooz
  • 1996
Highly Influential
4 Excerpts

Attractor local dimensionality, nonlinear energy transfers and finitetime instabilities in unstable dynamical systems with applications to two-dimensional fluid flows

  • TP Sapsis
  • Proc Roy Soc A
  • 2013

Filtering Complex Turbulent Systems

  • AJ Majda, J Harlim
  • 2013
1 Excerpt

Fundemantal limitations of polynomical chaos for uncertainty quantification in systems with intermmitent instabilities

  • M Branicki, AJ Majda
  • Comm Math Sci 11(1):55–103
  • 2013

Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows (Cambridge

  • AJ Majda, X Wang
  • 2013

New methods for estimating poleward eddy heat transport using satellite altimetry

  • S Keating, AJ Majda, KS Smith
  • Mon Weather Rev 140(5):1703–1722
  • 2012

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