Filtering complex turbulent systems

Filtering complex turbulent systems

by Majda, Andrew

Type Book
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Title Statements

  • Full title :Filtering complex turbulent systems / Andrew J. Majda, John Harlim.

Edition Statements

  • Publication Date:2012.

Publication Statements

Notes

MSC 65xx.

The Physical Object

  • Description:VII, 357 p. : : il. ; : 26 cm

Edition Identifiers

  • ISBN:9781107016668, 1107016665
  • oclc:on1322981003
  • Dewey Decimal:660.2842450151

Table of Contents

1. Introduction and overview: mathematical strategies for filtering turbulent systems -- 2. Filtering a stochastic complex scalar: the prototype test problem -- 3. The Kalman filter for vector systems: reduced filters and a three-dimensional toy model -- 4. Continuous and discrete Fourier series and numerical discretization -- 5. Stochastic models for turbulence -- 6. Filtering turbulent signals: plentiful observations -- 7. Filtering turbulent signals: regularly spaced sparse observations -- 8. Filtering linear stochastic PDE models with instability and model error -- 9. Strategies for filtering nonlinear systems -- 10. Filtering prototype nonlinear slow-fast systems -- 11. Filtering turbulent nonlinear dynamical systems by finite ensemble methods -- 12. Filtering turbulent nonlinear dynamical systems by linear stochastic models -- 13. Stochastic parametrized extended Kalman filter for filtering turbulent signals with model error -- 14. Filtering turbulent tracers from partial observations: an exactly solvable test model -- 15. The search for efficient skillful particle filters for high-dimensional turbulent dynamical systems.

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