Iterative method for initial-data reconstruction in singularly perturbed evolutionary problems (Q1975120)

Presently, there is a growing interest in various fields of science to the problems of the assimilation and processing of measurement data. Mathematically, these problems can be formulated as problems of optimal control. The present work is devoted to the numerical solution of the problem of data assimilation for a linear singularly perturbed evolutionary problem. A set of iterative methods for solving this problem is considered, the conditions for their convergence are studied, and numerical examples are presented.