On one algorithm for solving the problem of source function reconstruction
International Journal of Applied Mathematics and Computer Science (2010)
- Volume: 20, Issue: 2, page 239-247
- ISSN: 1641-876X
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topVyacheslav Maksimov. "On one algorithm for solving the problem of source function reconstruction." International Journal of Applied Mathematics and Computer Science 20.2 (2010): 239-247. <http://eudml.org/doc/207983>.
@article{VyacheslavMaksimov2010,
abstract = {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.},
author = {Vyacheslav Maksimov},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {reconstruction; source function; feedback control},
language = {eng},
number = {2},
pages = {239-247},
title = {On one algorithm for solving the problem of source function reconstruction},
url = {http://eudml.org/doc/207983},
volume = {20},
year = {2010},
}
TY - JOUR
AU - Vyacheslav Maksimov
TI - On one algorithm for solving the problem of source function reconstruction
JO - International Journal of Applied Mathematics and Computer Science
PY - 2010
VL - 20
IS - 2
SP - 239
EP - 247
AB - 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.
LA - eng
KW - reconstruction; source function; feedback control
UR - http://eudml.org/doc/207983
ER -
References
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