ON ONE ALGORITHM FOR SOLVING THE PROBLEM OF SOURCE FUNCTION RECONSTRUCTION.
In: International Journal of Applied Mathematics & Computer Science, Jg. 20 (2010-06-01), Heft 2, S. 239-247
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Zugriff:
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. [ABSTRACT FROM AUTHOR]
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Titel: |
ON ONE ALGORITHM FOR SOLVING THE PROBLEM OF SOURCE FUNCTION RECONSTRUCTION.
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Autor/in / Beteiligte Person: | MAKSIMOV, VYACHESLAV |
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Zeitschrift: | International Journal of Applied Mathematics & Computer Science, Jg. 20 (2010-06-01), Heft 2, S. 239-247 |
Veröffentlichung: | 2010 |
Medientyp: | academicJournal |
ISSN: | 1641-876X (print) |
DOI: | 10.2478/v10006-010-0017-3 |
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