Two-sided methods, interval analysis, numerical probabilistic analysis, calculations with high accuracy, finite element method
Main publications:
Boris S. Dobronets, Artem M. Krantsevich, Nikolay M. Krantsevich, “Software implementation of numerical operations on random variables”, Zhurn. SFU. Ser. Matem. i fiz., 6:2 (2013), 168–173
Boris S. Dobronets, Olga A. Popova, “Chislennye operatsii nad sluchainymi velichinami i ikh prilozheniya”, Zhurn. SFU. Ser. Matem. i fiz., 4:2 (2011), 229–239
Boris S. Dobronets, “Priblizheniya mnozhestv reshenii parametricheskimi mnozhestvami”, Zhurn. SFU. Ser. Matem. i fiz., 2:3 (2009), 305–311
B. S. Dobronets, V. S. Zlobin, “Chislennoe modelirovanie temperaturnykh polei s intervalnymi neopredelennostyami”, Sib. zhurn. industr. matem., 7:3 (2004), 95–101
V. A. Gerasimov, B. S. Dobronets, M. Yu. Shustrov, “Chislennye operatsii gistogrammnoi arifmetiki i ikh primeneniya”, Avtomat. i telemekh., 1991, № 2, 83–88; Autom. Remote Control, 52:2 (1991), 208–212
B. S. Dobronets, O. A. Popova, “Computational aspects of digital economy”, UBS, 84 (2020), 114–129
2017
2.
Boris S. Dobronets, Olga A. Popova, “Improving the accuracy of the probability density function estimation”, J. Sib. Fed. Univ. Math. Phys., 10:1 (2017), 16–21
A. Yu. Babushkin, А. K. Abkaryan, B. S. Dobronets, V. S. Krasikov, A. N. Filonov, “The ground state of the Frenkel–Kontorova model”, Fizika Tverdogo Tela, 58:9 (2016), 1772–1782; Phys. Solid State, 58:9 (2016), 1834–1845
А. K. Abkaryan, A. Yu. Babushkin, B. S. Dobronets, V. S. Krasikov, A. N. Filonov, “Ground state of a periodic elastic atomic chain in an arbitrary periodic potential”, Fizika Tverdogo Tela, 58:2 (2016), 336–340; Phys. Solid State, 58:2 (2016), 346–350
Boris S. Dobronets, Alexsandr N. Filonov, “Numerical Simulation of the Ground-state of Elastic-periodic Chain of Atoms in Periodic Potential of Arbitrary Shape”, J. Sib. Fed. Univ. Math. Phys., 6:3 (2013), 279–282
Boris S. Dobronets, Artem M. Krantsevich, Nikolay M. Krantsevich, “Software implementation of numerical operations on random variables”, J. Sib. Fed. Univ. Math. Phys., 6:2 (2013), 168–173
Boris S. Dobronets, Olga A. Popova, “Numerical operations on random variables and their application”, J. Sib. Fed. Univ. Math. Phys., 4:2 (2011), 229–239
V. A. Gerasimov, B. S. Dobronets, M. Yu. Shustov, “Numerical operations for histogram arithmetic and their applications”, Avtomat. i Telemekh., 1991, no. 2, 83–88; Autom. Remote Control, 52:2 (1991), 208–212