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Kolotov, Igor Ivanovich


https://www.mathnet.ru/eng/person136558
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2025
1. I. È. Stepanova, I. I. Kolotov, A. V. Shchepetilov, A. G. Yagola, A. N. Levashov, “On variational settings of the inverse coefficient problems in magnetic hydrodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 65:7 (2025),  1265–1276  mathnet  elib; Comput. Math. Math. Phys., 65:7 (2025), 1646–1658
2. I. È. Stepanova, I. I. Kolotov, A. G. Yagola, A. V. Shchepetilov, A. N. Levashov, “On the uniqueness of discrete gravity and magnetic potentials”, Zh. Vychisl. Mat. Mat. Fiz., 65:3 (2025),  376–389  mathnet  elib; Comput. Math. Math. Phys., 65:3 (2025), 603–617
2024
3. I. È. Stepanova, I. I. Kolotov, A. V. Shchepetilov, A. G. Yagola, A. N. Levashov, “On the uniqueness of the finite-difference analogues of the fundamental solution of the heat equation and the wave equation in discrete potential theory”, Zh. Vychisl. Mat. Mat. Fiz., 64:12 (2024),  2378–2389  mathnet  elib; Comput. Math. Math. Phys., 64:12 (2024), 2893–2904
4. I. È. Stepanova, D. V. Lukyanenko, I. I. Kolotov, A. V. Shchepetilov, A. G. Yagola, A. N. Levashov, “Erratum to: On the construction of an optimal network of observation points when solving inverse linear problems of gravimetry and magnetometry”, Comput. Math. Math. Phys., 64:11 (2024), 2736  mathnet
5. I. E. Stepanova, I. I. Kolotov, A. G. Yagola, A. N. Levashov, “On the uniqueness of determining the mesh fundamental solution of Laplace’s equation in the theory of discrete potential”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1253–1267  mathnet  elib; Comput. Math. Math. Phys., 64:7 (2024), 1523–1536 3
6. I. È. Stepanova, D. V. Lukyanenko, I. I. Kolotov, A. V. Shchepetilov, A. G. Yagola, I. A. Kerimov, A. N. Levashov, “On the simultaneous determination of the distribution density of sources equivalent in the external field and the spectrum of the useful signal”, Zh. Vychisl. Mat. Mat. Fiz., 64:5 (2024),  867–880  mathnet  elib; Comput. Math. Math. Phys., 64:5 (2024), 1089–1102
7. I. È. Stepanova, D. V. Lukyanenko, I. I. Kolotov, A. V. Shchepetilov, A. G. Yagola, A. N. Levashov, “On the construction of an optimal network of observation points when solving inverse linear problems of gravimetry and magnetometry”, Zh. Vychisl. Mat. Mat. Fiz., 64:3 (2024),  403–414  mathnet  elib; Comput. Math. Math. Phys., 64:3 (2024), 281–391
2023
8. I. I. Kolotov, D. V. Lukyanenko, I. È. Stepanova, A. V. Shchepetilov, A. G. Yagola, “On the uniqueness of solution to systems of linear algebraic equations to which the inverse problems of gravimetry and magnetometry are reduced: A regional variant”, Zh. Vychisl. Mat. Mat. Fiz., 63:9 (2023),  1446–1457  mathnet  elib; Comput. Math. Math. Phys., 63:9 (2023), 1588–1599 14
9. I. I. Kolotov, D. V. Lukyanenko, I. É. Stepanova, A. G. Yagola, “On the uniqueness of solutions to systems of linear algebraic equations resulting from the reduction of linear inverse problems of gravimetry and magnetometry: a local case”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023),  1317–1331  mathnet  elib; Comput. Math. Math. Phys., 63:8 (2023), 1452–1465 13
2020
10. Y. Wang, I. I. Kolotov, D. V. Lukyanenko, A. G. Yagola, “Reconstruction of magnetic susceptibility using full magnetic gradient data”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  1027–1034  mathnet  elib; Comput. Math. Math. Phys., 60:6 (2020), 1000–1007  isi  scopus 8
2019
11. I. I. Kolotov, A. A. Panin, “On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study”, Mat. Zametki, 105:5 (2019),  708–723  mathnet  mathscinet  elib; Math. Notes, 105:5 (2019), 694–706  isi  scopus 1

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