Numerical analysis of iterative methods for solving evolution data assimilation problems

In this paper we consider a data assimilation problem for an evolution problem with a Linear equation of state. We consider a class of iterative methods of solving the corresponding discrete problem of optimal control and study them numerically. We give the results of numerical experiments on the solution of an identification problem of the initial data in parabolic problems with variable coefficients. The results presented are an extension of those in [10] to the case in which the operator of the original problem is nonsymmetric and may be time-dependent.