Geodesic
On asymptotic accuracy in $L_1$ of a dynamical algorithm for reconstructing a disturbance
Trudy Instituta matematiki i mehaniki, Control, stability, and inverse problems of dynamics, Tome 12 (2006) no. 2, pp. 18-26 
A. Yu. Vdovin; A. V. Kim; S. S. Rubleva. On asymptotic accuracy in $L_1$ of a dynamical algorithm for reconstructing a disturbance. Trudy Instituta matematiki i mehaniki, Control, stability, and inverse problems of dynamics, Tome 12 (2006) no. 2, pp. 18-26. http://geodesic.mathdoc.fr/item/TIMM_2006_12_2_a1/
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     title = {On asymptotic accuracy in $L_1$ of a~dynamical algorithm for reconstructing a~disturbance},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In the paper, a modification of the dynamical algorithm by Yu. S. Osipov and A. V. Kryazhimskii is suggested. This modification possesses in the space $L_1$ an asymptotic order of accuracy arbitrarily close to 1/2. A possibility to attain this order in the class of finite-step dynamical algorithms is considered.

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