Russian Journal of Numerical Analysis and Mathematical Modelling
Editor-in-Chief: Dymnikov, Valentin P. / Kuznetsov, Yuri
Managing Editor: Vassilevski, Yuri V.
Editorial Board: Agoshkov, Valeri I. / Amosov, Andrey A. / Kaporin, Igor E. / Kobelkov, Georgy M. / Mikhailov, Gennady A. / Repin, Sergey I. / Shaidurov, Vladimir V. / Shokin, Yuri I. / Tyrtyshnikov, Eugene E.
IMPACT FACTOR 2018: 0.779
CiteScore 2018: 0.92
SCImago Journal Rank (SJR) 2018: 0.512
Source Normalized Impact per Paper (SNIP) 2018: 1.275
Mathematical Citation Quotient (MCQ) 2018: 0.08
On error covariances in variational data assimilation
The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find the initial condition function. The equation for the error of the optimal solution (analysis) is derived through the statistical errors of the input data (background and observation errors). The numerical algorithm is developed to construct the covariance operator of the analysis error using the covariance operators of the input errors. Numerical examples are presented.
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