Introduction to data assimilation 

Ensemble Kalman filter

Ensemble Kalman's filter algorithm (double ensemble+pert.obs)

Starting with the prior discret ensemble

Analysis step:

  1. Compute the mean for or

  2. Compute the covariance matrix where

  3. Compute the gain matrix

  4. Compute the ensemble of analysis

Forecast step:

  1. Compute the time evolution

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