Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2020_108_3_a11, author = {A. V. Vedenin and V. S. Voevodkin and V. D. Galkin and E. Yu. Karatetskaya and I. D. Remizov}, title = {Speed of {Convergence} of {Chernoff} {Approximations} to {Solutions} of {Evolution} {Equations}}, journal = {Matemati\v{c}eskie zametki}, pages = {463--468}, publisher = {mathdoc}, volume = {108}, number = {3}, year = {2020}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a11/} }
TY - JOUR AU - A. V. Vedenin AU - V. S. Voevodkin AU - V. D. Galkin AU - E. Yu. Karatetskaya AU - I. D. Remizov TI - Speed of Convergence of Chernoff Approximations to Solutions of Evolution Equations JO - Matematičeskie zametki PY - 2020 SP - 463 EP - 468 VL - 108 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a11/ LA - ru ID - MZM_2020_108_3_a11 ER -
%0 Journal Article %A A. V. Vedenin %A V. S. Voevodkin %A V. D. Galkin %A E. Yu. Karatetskaya %A I. D. Remizov %T Speed of Convergence of Chernoff Approximations to Solutions of Evolution Equations %J Matematičeskie zametki %D 2020 %P 463-468 %V 108 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a11/ %G ru %F MZM_2020_108_3_a11
A. V. Vedenin; V. S. Voevodkin; V. D. Galkin; E. Yu. Karatetskaya; I. D. Remizov. Speed of Convergence of Chernoff Approximations to Solutions of Evolution Equations. Matematičeskie zametki, Tome 108 (2020) no. 3, pp. 463-468. http://geodesic.mathdoc.fr/item/MZM_2020_108_3_a11/
[1] K.-J. Engel, R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Springer, New York, 2000 | MR
[2] V. I. Bogachev, O. G. Smolyanov, Deistvitelnyi i funtsionalnyi analiz, RKhD, Izhevsk, 2011
[3] I. D. Remizov, J. Funct. Anal., 270:12 (2016), 4540–4557 | DOI | MR
[4] P. R. Chernoff, J. Funct. Anal., 2:2 (1968), 238–242 | DOI | MR
[5] Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, TMF, 172:1 (2012), 122–137 | DOI | MR
[6] V. Zagrebnov, Notes on the Chernoff Product Formula, 2019, arXiv: 1911.09480
[7] A. Gomilko, S. Kosowicz, Yu. Tomilov, A General Approach to Approximation Theory of Operator Semigroups, 2018, arXiv: 1801.06749
[8] I. D. Remizov, “On estimation of error in approximations provided by Chernoff's product formula”, International Conference “Shilnikov Workshop-2018”, Book of Abstracts, Nizhny Novgorod University, Nizhny Novgorod, 2018, 38–41
[9] I. D. Remizov, Appl. Math. Comput., 328 (2018), 243–246 | DOI | MR
[10] A. V. Vedenin, Bystro skhodyaschiesya chernovskie approksimatsii k resheniyu parabolicheskogo differentsialnogo uravneniya na veschestvennoi pryamoi, Diplomnaya rabota, NIU VShE, Nizhnii Novgorod, 2019
[11] I. D. Remizov, Dokl. AN, 476:1 (2017), 17–21 | MR
[12] I. D. Remizov, M. F. Starodubtseva, Matem. zametki, 104:5 (2018), 790–795 | DOI
[13] A. A. Loboda, Matem. zametki, 106:2 (2019), 311–315 | DOI