Filtering complex turbulent systems

Andrew J. Majda, John Harlim

Research output: Book/ReportBook

107 Citations (Scopus)

Abstract

Many natural phenomena ranging from climate through to biology are described by complex dynamical systems. Getting information about these phenomena involves filtering noisy data and prediction based on incomplete information (complicated by the sheer number of parameters involved), and often we need to do this in real time, for example for weather forecasting or pollution control. All this is further complicated by the sheer number of parameters involved leading to further problems associated with the 'curse of dimensionality' and the 'curse of small ensemble size'. The authors develop, for the first time in book form, a systematic perspective on all these issues from the standpoint of applied mathematics. The book contains enough background material from filtering, turbulence theory and numerical analysis to make the presentation self-contained and suitable for graduate courses as well as for researchers in a range of disciplines where applied mathematics is required to enlighten observations and models.

Original languageEnglish (US)
PublisherCambridge University Press
Number of pages357
ISBN (Electronic)9781139061308
ISBN (Print)9781107016668
DOIs
StatePublished - Jan 1 2012

Fingerprint

Applied mathematics
Filtering
Complex Dynamical Systems
Curse of Dimensionality
Incomplete Information
Noisy Data
Pollution
Climate
Weather
Biology
Forecasting
Numerical Analysis
Turbulence
Ensemble
Prediction
Range of data
Model
Background
Observation
Presentation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Majda, Andrew J. ; Harlim, John. / Filtering complex turbulent systems. Cambridge University Press, 2012. 357 p.
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Filtering complex turbulent systems. / Majda, Andrew J.; Harlim, John.

Cambridge University Press, 2012. 357 p.

Research output: Book/ReportBook

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