Geodesic
On one algorithm for solving the problem of source function reconstruction
International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) no. 2, pp. 239-247.

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In the paper, the problem of source function reconstruction in a differential equation of the parabolic type is investigated. Using the semigroup representation of trajectories of dynamical systems, we build a finite-step iterative procedure for solving this problem. The algorithm originates from the theory of closed-loop control (the method of extremal shift). At every step of the algorithm, the sum of a quality criterion and a linear penalty term is minimized. This procedure is robust to perturbations in problems data.
Keywords: reconstruction, source function, feedback control
Mots-clés : rekonstrukcja, funkcja źródła, sterowanie, sprzężenie zwrotne 
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Maksimov, V. On one algorithm for solving the problem of source function reconstruction. International Journal of Applied Mathematics and Computer Science, Tome 20 (2010) no. 2, pp. 239-247. http://geodesic.mathdoc.fr/item/IJAMCS_2010_20_2_a1/

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