05.13.18 (Mathematical modeling, numerical methods, and the program systems)
E-mail:
Main publications:
D. Yu. Ivanov, “Inverse boundary value problems for an abstract elliptic equation”, Differential Equations, 36:4 (2000), 579-586
D. Yu. Ivanov, “Validation of a numerical algorithm for solving inverse boundary value problems for heat equation that takes into account the semigroup symmetry”, Computational Mathematics and Mathematical Physics, 38:12 (1998), 1948-1961
D. Yu. Ivanov
R. P. Tarasov, “Numerical solution of integral equations with a one-parameter semigroup of symmetries”, Computational Mathematics and Mathematical Physics, 36:7 (1996), 869-887
D. Yu. Ivanov, “Solution of two-dimensional boundary value problems corresponding to initial-boundary value problems of diffusion on a right cylinder”, Differential Equations, 46:8 (2010), 1104-1113
Ivanov D.Yu., “Semianalytic approximation of normal derivative of double layer potential near and at boundary of two–dimensional domain”, Ufa Math. J., 17:3 (2025), 17–45
2024
2.
Ivanov D.Yu., “Semi-analytical approximation of the normal derivative of the heat simple layer potential near the boundary of a two-dimensional domain”, Izv. Saratov Univ. Math. Mech. Inform., 24:4 (2024), 476–487
3.
Ivanov D.Yu., “On the uniform convergence of approximations to the tangential and normal derivatives of the single-layer potential near the boundary of a two-dimensional domain”, Comput. Math. Math. Phys., 64:7 (2024), 1504–1522
2023
4.
Ivanov D.Yu., “On one semi-analytical approximation of the normal derivative of the simple layer potential near the boundary of a two-dimensional domain”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:3 (2023), 434–451
5.
D. Yu. Ivanov, “On approximation of the normal derivative of the single layer heat potential near the boundary of a two-dimensional domain”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2023, no. 83, 31–51
6.
D. Yu. Ivanov, “On uniform convergence of semi-analytic solution of Dirichlet problem for dissipative Helmholtz equation in vicinity of boundary of two-dimensional domain”, Ufa Math. J., 15:4 (2023), 76–99
7.
D. Yu. Ivanov, O. A. Platonova, “An approximation of the double-layer heat potential near the boundary of a two-dimensional spatial domain”, MODERN APPROACHES IN ENGINEERING AND NATURAL SCIENCES: MAENS-2021 (10 September 2021
Tver, Russia), AIP Conference Proceedings, 2526, 2023, 020007 (to appear) , 6 pp.
2022
8.
Ivanov D.Yu., “On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:1 (2022), 26–43
2021
9.
Ivanov D.Yu., “On the joint application of the collocation boundary element method and the Fourier method for solving problems of heat conduction in finite cylinders with smooth directrices”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2021, no. 72, 15–38
2020
10.
Ivanov D.Yu., “A refinement of the boundary element collocation method near the boundary of a two-dimensional domain using semianalytic approximation of the double layer heat potential”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2020, no. 65, 30–52
2019
11.
Ivanov D.Yu., “A refinement of the boundary element collocation method near the boundary of domain in the case of two-dimensional problems of non-stationary heat conduction with boundary conditions of the second and third kind”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2019, no. 57, 5–25
12.
Ivanov D.Yu., “Solution of boundary problems for a two-dimensional elliptic operatordifferential equation in an abstract Hilbert space using the method of boundary integral equations”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2019, no. 60, 11–31
2017
13.
D. Yu. Ivanov, “On solving plane problems of non-stationary heat conduction by the collocation boundary element method”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2017, no. 50, 9–29
14.
D. Yu. Ivanov, “Closedness of sums of unbounded operators acting on different variables in the spaces of square-integrable functions of several variables”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2017, no. 45, 35–48
2015
15.
D. Yu. Ivanov, “Stable solvability in spaces of differentiable functions of some two-dimensional integral equations of heat conduction with an operator-semigroup kernel”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2015, no. 6(38), 33–45
2010
16.
D. Yu. Ivanov, “Solution of two-dimensional boundary value problems corresponding to initial-boundary value problems of diffusion on a right cylinder”, Differential Equations, 46:8 (2010), 1104–1113 (to appear)
2000
17.
D. Yu. Ivanov, “Inverse boundary value problems for an abstract elliptic equation”, Differential Equations, 36:4 (2000), 579–586
1998
18.
D. Yu. Ivanov, “Validation of an algorithm for the numerical solution of inverse boundary value problems of heat conduction that takes into account the semigroup symmetry of such problems”, Comput. Math. Math. Phys., 38:12 (1998), 1948–1961
1996
19.
D. Yu. Ivanov, R. P. Tarasov, “Numerical solution of integral equations with a one-parameter semigroup of symmetries”, Comput. Math. Math. Phys., 36:7 (1996), 869–-887 (to appear)
2025
