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Publications in Math-Net.Ru |
Citations |
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2025 |
| 1. |
A. A. Zlotnik, T. A. Lomonosov, “Application of regularized equations for dynamics of heterogeneous binary mixtures to modeling water-vapor phase transitions”, Mat. Model., 37:1 (2025), 151–170  |
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2024 |
| 2. |
A. A. Zlotnik, T. A. Lomonosov, “On properties of a semi-explicit vector compact scheme for the acoustic wave equation”, Russian Journal of Cybernetics, 5:3 (2024), 6–12 |
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2023 |
| 3. |
A. A. Zlotnik, T. A. Lomonosov, “Regularized equations for dynamics of the heterogeneous binary mixtures of the Noble-Abel stiffened-gases and their application”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023), 26–33  ; Dokl. Math., 108:3 (2023), 443–449 |
5
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2022 |
| 4. |
A. A. Zlotnik, T. A. Lomonosov, “On $L^2$-dissipativity of a linearized scheme on staggered meshes with a regularization for 1D barotropic gas dynamics equations”, Zh. Vychisl. Mat. Mat. Fiz., 62:12 (2022), 1981–2001 ; Comput. Math. Math. Phys., 62:12 (2022), 1817–1837 |
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2021 |
| 5. |
A. A. Zlotnik, T. A. Lomonosov, “On $L^2$-dissipativity of a linearized difference scheme on staggered meshes with a quasi-hydrodynamic regularization for $\mathrm{1D}$ barotropic gas dynamics equations”, Keldysh Institute preprints, 2021, 072, 27 pp. |
| 6. |
A. A. Zlotnik, T. A. Lomonosov, “$L^2$-dissipativity of finite-difference schemes for $\mathrm{1D}$ regularized barotropic gas dynamics equations at small Mach numbers”, Mat. Model., 33:5 (2021), 16–34 ; Math. Models Comput. Simul., 13:6 (2021), 1097–1108 |
2
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2020 |
| 7. |
A. A. Zlotnik, T. A. Lomonosov, “On $L^2$-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 31–37  ; Dokl. Math., 101:3 (2020), 198–204 |
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2019 |
| 8. |
A. A. Zlotnik, T. A. Lomonosov, “Conditions for $L^2$-dissipativity of linearized explicit difference schemes with regularization for $\mathrm{1D}$ barotropic gas dynamics equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019), 481–493 ; Comput. Math. Math. Phys., 59:3 (2019), 452–464   |
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