A. Yu. Gornov, A. S. Anikin, T. S. Zarodnyuk, P. S. Sorokovikov, “Modification of the confidence bar algorithm based on approximations of the main diagonal of the Hessian matrix for solving optimal control problems”, Avtomat. i Telemekh., 2022, no. 10, 122–133; Autom. Remote Control, 83:10 (2022), 1590–1599
2021
2.
A. N. Andrianov, A. S. Anikin, A. Yu. Gornov, “Numerical study of high-dimensional optimization problems using a modification of Polyak's method”, Zh. Vychisl. Mat. Mat. Fiz., 61:7 (2021), 1059–1069; Comput. Math. Math. Phys., 61:7 (2021), 1053–1062
Rentsen Enkhbat, Sukhee Batbileg, Anton Anikin, Natsagdorj Tungalag, Alexander Gornov, “A note on four-players triple game”, Contributions to Game Theory and Management, 12 (2019), 100–112
4.
A. S. Anikin, O. A. Bol'shakova, A. V. Gasnikov, A. Yu. Gornov, T. V. Ermak, D. V. Makarenko, V. P. Morozov, B. O. Neterebskii, P. A. Yakovlev, “Local algorithms for minimizing the force field for 3D representation of macromolecules”, Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019), 2060–2076; Comput. Math. Math. Phys., 59:12 (2019), 1994–2008
2017
5.
R. Enkhbat, S. Batbileg, N. Tungalag, Anton Anikin, Alexander Gornov, “A computational method for solving $N$-person game”, Bulletin of Irkutsk State University. Series Mathematics, 20 (2017), 109–121
E. Finkelstein, A. Gornov, “Algorithm of quasiuniform filling of reachable set for nonlinear control system”, Bulletin of Irkutsk State University. Series Mathematics, 19 (2017), 217–223
A. Yu. Gornov, A. I. Tyatyushkin, E. A. Finkelshtein, “Numerical methods for solving terminal optimal control problems”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016), 224–237; Comput. Math. Math. Phys., 56:2 (2016), 221–234
A. Yu. Gornov, E. A. Finkel'shtein, “Algorithm for piecewise-linear approximation of the reachable set boundary”, Avtomat. i Telemekh., 2015, no. 3, 22–31; Autom. Remote Control, 76:3 (2015), 385–393
A. Yu. Gornov, A. I. Tyatyushkin, E. A. Finkelshtein, “Numerical methods for solving applied optimal control problems”, Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013), 2014–2028; Comput. Math. Math. Phys., 53:12 (2013), 1825–1838
A. Yu. Gornov, A. V. Dvurechenskii, T. S. Zarodnyuk, A. F. Zinov'eva, A. V. Nenashev, “Problem of optimal control in the system of semiconductor quantum points”, Avtomat. i Telemekh., 2011, no. 6, 108–114; Autom. Remote Control, 72:6 (2011), 1242–1247
A. Yu. Gornov, A. V. Dvurechenskii, T. S. Zarodnyuk, A. F. Zinov'eva, A. V. Nenashev, “The numerical technique of optimization of two-dimensional controlled voltage impulse in the quantum dots system”, Program Systems: Theory and Applications, 2:1 (2011), 27–38