On optimal solution error covariances in variational data assimilation

Shutyaev, V. and Le Dimet, F.X. and Gejadze, I.Y. (2008) On optimal solution error covariances in variational data assimilation. Russian Journal of Numerical Analysis and Mathematical Modelling, 23 (2). pp. 197-205. ISSN 0927-6467 (http://dx.doi.org/10.1515/RJNAMM.2008.012)

Abstract

The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find some unknown parameters of the model. The equation for the error of the optimal solution is derived through the statistical errors of the input data. The covariance operator of the optimal solution error is obtained using the Hessian of an auxiliary data assimilation problem based on the tangent linear model constraints.

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• Item metadata

  Item type:	Article
  ID code:	19601
  Dates:	Date Event 2008 Published
  Subjects:	Science > Mathematics > Probabilities. Mathematical statistics Technology > Engineering (General). Civil engineering (General)
  Department:	Faculty of Engineering > Civil and Environmental Engineering
  Depositing user:	Strathprints Administrator
  Date deposited:	18 May 2010 14:12
  Last modified:	22 Nov 2024 22:38
  Related URLs:	http://strathprints.strath.ac.uk/16315/
  URI:	https://strathprints.strath.ac.uk/id/eprint/19601