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On error analysis in data assimilation problems
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F.-X. Le Dimet
Published/Copyright:
October 9, 2014
Abstract -
We consider the data assimilation problem for a nonlinear evolution model to identify the initial condition. We derive an equation for the error of the optimal solution through the errors of the input data, which is based on the Hessian of a misfit functional, and study the solvability of the error equation. Fundamental control functions are used for error analysis. We obtain error sensitivity coefficients, using the singular vectors of the specific response operators in the error equation. We show the application of the data assimilation problem in hydrology and give numerical results.
Published Online: 2014-10-9
Published in Print: 2002-2-1
© 2014 by Walter de Gruyter Berlin/Boston
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- On high-order compact schemes in the finite element method
- On implicit extrapolation methods for ordinary differential equations
- On error analysis in data assimilation problems
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Articles in the same Issue
- Contents
- High-order time-accuracy schemes for parabolic singular perturbation problems with convection
- On high-order compact schemes in the finite element method
- On implicit extrapolation methods for ordinary differential equations
- On error analysis in data assimilation problems
- Mathematical modelling of the three-dimensional boundary value problem of the discharge of the well system in a homogeneous layer
- Parallel realization of statistical simulation and random number generators
