The problem of variational data assimilation for a nonlinear evolution model is considered to identify the initial condition. An equation for the error of the optimal solution through the statistical errors of input data is derived, based on the Hessian of the misfit functional and second-order adjoint techniques. The covariance operator of the optimal solution error is expressed through the covariance operators of input errors. Numerical algorithms are developed for constructing the covariance operator of the optimal solution error using the covariance operators of input errors.
|Number of pages||13|
|Journal||Russian Journal of Numerical Analysis and Mathematical Modelling|
|Publication status||Published - 2006|
- nonlinear evolution models
- numerical algorithms
- input errors
- variational data assimilation