On Optimal Recovery of Solutions to Difference Equations from Inaccurate Data
We prove a theorem on the optimal recovery of powers of a normal operator. To illustrate the result, we prove assertion concerning the optimal recovery of the temperature of a body in the difference model of the heat equation and the optimal recovery of a solution in the difference model of a system of ordinary differential equations. Bibliography: 6 titles.
KeywordsOrthonormal Basis Heat Equation Normal Matrix Admissible Function Optimal Recovery
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