On optimal solution error covariances in variational data assimilation

V. Shutyaev; F.X. Le Dimet; I.Y. Gejadze

doi:10.1515/RJNAMM.2008.012

On optimal solution error covariances in variational data assimilation

V. Shutyaev, F.X. Le Dimet, I.Y. Gejadze

Civil And Environmental Engineering

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	197-205
Number of pages	8
Journal	Russian Journal of Numerical Analysis and Mathematical Modelling
Volume	23
Issue number	2
DOIs	https://doi.org/10.1515/RJNAMM.2008.012
Publication status	Published - 2008

Keywords

variational data assimilation
parameter estimation
optimal solution error covariances
hessian
preconditioning

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10.1515/RJNAMM.2008.012

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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.",

keywords = "variational data assimilation, parameter estimation, optimal solution error covariances, hessian, preconditioning",

author = "V. Shutyaev and {Le Dimet}, F.X. and I.Y. Gejadze",

year = "2008",

doi = "10.1515/RJNAMM.2008.012",

language = "English",

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pages = "197--205",

journal = "Russian Journal of Numerical Analysis and Mathematical Modelling",

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T1 - On optimal solution error covariances in variational data assimilation

AU - Shutyaev, V.

AU - Le Dimet, F.X.

AU - Gejadze, I.Y.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - variational data assimilation

KW - parameter estimation

KW - optimal solution error covariances

KW - hessian

KW - preconditioning

UR - http://strathprints.strath.ac.uk/16315/

UR - http://dx.doi.org/10.1515/RJNAMM.2008.012

U2 - 10.1515/RJNAMM.2008.012

DO - 10.1515/RJNAMM.2008.012

M3 - Article

SN - 0927-6467

VL - 23

SP - 197

EP - 205

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

IS - 2

ER -

On optimal solution error covariances in variational data assimilation

Abstract

Keywords

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