\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2010, Volume 27, Issue 2: 441-486. Doi: 10.3934/dcds.2010.27.441
This issue Previous Article The Cauchy problem for Schrödinger flows into Kähler manifolds Next Article Inelastic interaction of nearly equal solitons for the BBM equation

Mathematical strategies for filtering turbulent dynamical systems

  • 1.

    Department of Mathematics and Center for Atmosphere and Ocean Science, Courant Institute for Mathematical Sciences, New York University, New York, NY 10012-1110

  • 2.

    Depatment of Mathematics, North Carolina State University, Raleigh, NC 27695

Received:  September 30, 2009
Revised:  January 31, 2010
Published:  June 2010
Abstract Related Papers Cited by
    Abstract
  • The modus operandi of modern applied mathematics in developing very recent mathematical strategies for filtering turbulent dynamical systems is emphasized here. The approach involves the synergy of rigorous mathematical guidelines, exactly solvable nonlinear models with physical insight, and novel cheap algorithms with judicious model errors to filter turbulent signals with many degrees of freedom. A large number of new theoretical and computational phenomena such as "catastrophic filter divergence" in finite ensemble filters are reviewed here with the intention to introduce mathematicians, applied mathematicians, and scientists to this remarkable emerging scientific discipline with increasing practical importance.
    Mathematics Subject Classification: Primary: 93E11, 62L12; Secondary: 65C20.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(100) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences