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4D-VAR: four-dimensional variational assimilation

O. Talagrand

in Advanced Data Assimilation for Geosciences: Lecture Notes of the Les Houches School of Physics: Special Issue, June 2012

Published in print:
2014
Published Online:
March 2015
ISBN:
9780198723844
eISBN:
9780191791185
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198723844.003.0001
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

In this chapter, four-dimensional variational assimilation (4D-VAR) is described in the context of statistical linear estimation, in which it defines the best linear unbiased estimate (BLUE) of the ... More


Introduction to the Kalman filter

C. Snyder

in Advanced Data Assimilation for Geosciences: Lecture Notes of the Les Houches School of Physics: Special Issue, June 2012

Published in print:
2014
Published Online:
March 2015
ISBN:
9780198723844
eISBN:
9780191791185
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198723844.003.0003
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

This chapter introduces The Kalman filter, which implements Bayesian data assimilation for linear, Gaussian systems. Its update equations can also be derived as the best linear unbiased estimator ... More


Selected topics in multiscale data assimilation

M. Bocquet, L. Wu, F. Chevallier, and M. R. Kookhan

in Advanced Data Assimilation for Geosciences: Lecture Notes of the Les Houches School of Physics: Special Issue, June 2012

Published in print:
2014
Published Online:
March 2015
ISBN:
9780198723844
eISBN:
9780191791185
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198723844.003.0018
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

This chapter discusses several approaches to developing original theoretical approaches to assimilate information at a given scale and consistently propagate it to other scales. This is motivated by ... More


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