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Publications in Math-Net.Ru |
Citations |
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2025 |
| 1. |
I. S. Nikitin, V. I. Golubev, A. D. Nikitin, B. A. Stratula, “Numerical simulation of selective laser melting of titanium and aluminum alloy powders”, Mat. Model., 37:1 (2025), 61–80  |
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2024 |
| 2. |
Vasily I. Golubev, Ilia S. Nikitin, Xi Mi, “Numerical schemes of higher approximation orders for dynamic problems of elastoviscoplastic media”, J. Sib. Fed. Univ. Math. Phys., 17:1 (2024), 8–17 |
| 3. |
N. G. Burago, I. S. Nikitin, A. D. Nikitin, B. A. Stratula, “Numerical modeling of fatigue fracture based on the nonlocal theory of cyclic damage”, Mat. Model., 36:3 (2024), 3–19 ; Math. Models Comput. Simul., 16:5 (2024), 655–666 |
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| 4. |
I. S. Nikitin, A. D. Nikitin, B. A. Stratula, “Model and method for calculating cyclic damageability under high-frequency loading of corset samples”, Prikl. Mekh. Tekh. Fiz., 65:1 (2024), 136–149  ; J. Appl. Mech. Tech. Phys., 65:1 (2024), 121–133 |
| 5. |
A. V. Shevchenko, I. S. Nikitin, V. I. Golubev, I. B. Petrov, “Explicit-implicit numerical scheme for problems in the dynamics of elastoviscoplastic media with softening”, Zh. Vychisl. Mat. Mat. Fiz., 64:9 (2024), 1689–1698 ; Comput. Math. Math. Phys., 64:9 (2024), 2066–2075 |
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2023 |
| 6. |
I. B. Petrov, V. I. Golubev, A. V. Shevchenko, I. S. Nikitin, “About the boundary condition approximation in the higher-order grid-characteristic schemes”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023), 52–58 ; Dokl. Math., 108:3 (2023), 466–471 |
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| 7. |
V. I. Golubev, I. S. Nikitin, “Refined schemes for computing the dynamics of elastoviscoplastic media”, Zh. Vychisl. Mat. Mat. Fiz., 63:10 (2023), 1674–1686 ; Comput. Math. Math. Phys., 63:10 (2023), 1874–1885 |
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| 8. |
D. D. Zakharov, I. S. Nikitin, “Determining the spectrum of eigenvalues and eigenfunctions for the Bernoulli–Euler equation with variable coefficients by the Peano method”, Zh. Vychisl. Mat. Mat. Fiz., 63:10 (2023), 1637–1647 ; Comput. Math. Math. Phys., 63:10 (2023), 1837–1847 |
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2022 |
| 9. |
I. S. Nikitin, A. D. Nikitin, “Multi regime model and numerical algorithm for calculations on various types quasi crack developing under cyclic loading”, Computer Research and Modeling, 14:4 (2022), 873–885  |
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2021 |
| 10. |
I. B. Petrov, V. I. Golubev, V. Yu. Petrukhin, I. S. Nikitin, “Simulation of seismic waves in anisotropic media”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021), 59–64  ; Dokl. Math., 103:3 (2021), 146–150  |
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| 11. |
Ilia S. Nikitin, Vasily I. Golubev, “Explicit-implicit schemes for calculating the dynamics of layered media with nonlinear conditions at contact boundaries”, J. Sib. Fed. Univ. Math. Phys., 14:6 (2021), 768–778  |
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2019 |
| 12. |
N. G. Burago, I. S. Nikitin, “Mathematical model and algorithm for calculating pressing and sintering”, Mat. Model., 31:2 (2019), 3–17 ; Math. Models Comput. Simul., 11:5 (2019), 731–739 |
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2018 |
| 13. |
N. G. Burago, I. S. Nikitin, “Algorithms of through calculation for damage processes”, Computer Research and Modeling, 10:5 (2018), 645–666 |
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| 14. |
N. G. Burago, A. B. Zhuravlev, I. S. Nikitin, “Continuum model and method of calculating for dynamics of inelastic layered medium”, Mat. Model., 30:11 (2018), 59–74 ; Math. Models Comput. Simul., 11:3 (2019), 488–498 |
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| 15. |
N. G. Burago, I. S. Nikitin, “Matrix-free conjugate gradient implementation of implicit schemes”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018), 50–61 ; Comput. Math. Math. Phys., 58:8 (2018), 1247–1258 |
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2016 |
| 16. |
N. G. Burago, A. B. Zhuravlev, I. S. Nikitin, V. L. Yakushev, “Study of different modes of fatigue fracture and durability estimation for compressor disc of gas turbine engine”, Mat. Model., 28:2 (2016), 53–64 ; Math. Models Comput. Simul., 8:5 (2016), 523–532 |
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| 17. |
N. G. Burago, I. S. Nikitin, V. L. Yakushev, “Hybrid numerical method with adaptive overlapping meshes for solving nonstationary problems in continuum mechanics”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 1082–1092 ; Comput. Math. Math. Phys., 56:6 (2016), 1065–1074 |
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2013 |
| 18. |
I. S. Nikitin, A. V. Filimonov, V. L. Yakushev, “Propagation of Rayleigh waves at oblique impact of the meteorite aboutthe Earth's surface and their effects on buildings and structures”, Computer Research and Modeling, 5:6 (2013), 981–992 |
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2018 |
| 19. |
B. N. Chetverushkin, E. E. Tyrtyshnikov, N. N. Kudryavtsev, V. P. Dymnikov, Yu. I. Zhuravlev, E. E. Son, K. V. Rudakov, Yu. G. Evtushenko, A. B. Zhizhchenko, Yu. V. Gulyaev, A. S. Bugaev, A. N. Konovalov, V. P. Maslov, V. M. Berdyshev, A. L. Semenov, E. I. Moiseev, I. B. Petrov, Yu. A. Flerov, I. G. Pospelov, S. I. Kabanikhin, M. V. Iakobovski, V. F. Tishkin, Yu. V. Vassilevski, A. A. Shananin, V. A. Gushchin, I. S. Nikitin, A. I. Lobanov, V. V. Demchenko, E. L. Stupitsky, V. L. Yakushev, A. V. Babakov, Yu. D. Shevelev, S. A. Ishanov, V. S. Ryaben'kii, “In memory of Aleksandr Sergeevich Kholodov”, Mat. Model., 30:1 (2018), 135–136 |
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2017 |
| 20. |
I. B. Petrov, B. N. Chetverushkin, Vl. V. Voevodin, V. A. Gushchin, K. V. Rudakov, A. I. Tolstykh, A. A. Shananin, A. I. Lobanov, G. Yu. Riznichenko, A. V. Borisov, A. V. Koganov, V. I. Kosarev, S. A. Ishanov, I. S. Nikitin, V. B. Pirogov, A. A. Polezhaev, G. A. Tirskii, I. G. Tormasov, S. S. Simakov, E. L. Stupitsky, P. S. Utkin, Ya. A. Kholodov, V. L. Yakushev, “In memory of A. S. Kholodov”, Computer Research and Modeling, 9:5 (2017), 677–678 |
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