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Publications in Math-Net.Ru |
Citations |
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2023 |
| 1. |
O. V. Ilyin, “Nonclassical heat transfer in a microchannel and a problem for lattice Boltzmann equations”, Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023), 2016–2024   ; Comput. Math. Math. Phys., 63:12 (2023), 2297–2305 |
| 2. |
O. V. Ilyin, “A modified secant method for entropic lattice Boltzmann equations”, Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023), 1206–1215 ; Comput. Math. Math. Phys., 63:7 (2023), 1332–1340 |
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2022 |
| 3. |
O. V. Ilyin, “A discrete nine-velocity model of the Boltzmann equation: solution in the form of Wild sum and applications to simulating incompressible flows”, Zh. Vychisl. Mat. Mat. Fiz., 62:4 (2022), 705–720 ; Comput. Math. Math. Phys., 62:4 (2022), 685–699  |
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2020 |
| 4. |
O. V. Ilyin, “Boundary conditions for lattice Boltzmann equations in applications to hemodynamics”, Computer Research and Modeling, 12:4 (2020), 865–882 |
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2019 |
| 5. |
O. V. Ilyin, “The modeling of nonlinear pulse waves in elastic vessels using the Lattice Boltzmann method”, Computer Research and Modeling, 11:4 (2019), 707–722 |
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2018 |
| 6. |
V. V. Aristov, O. V. Ilyin, “Methods and problems in the kinetic approach for simulating biological structures”, Computer Research and Modeling, 10:6 (2018), 851–866 |
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| 7. |
O. V. Ilyin, “A method for simulating the dynamics of rarefied gas based on lattice Boltzmann equations and the BGK equation”, Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018), 1889–1899 ; Comput. Math. Math. Phys., 58:11 (2018), 1817–1827  |
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2016 |
| 8. |
O. V. Ilyin, “Symmetries and invariant solutions of the one-dimensional Boltzmann equation for inelastic collisions”, TMF, 186:2 (2016), 221–229  ; Theoret. and Math. Phys., 186:2 (2016), 183–191 |
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| 9. |
O. V. Ilyin, “Solutions of the generalized kinetic model of annihilation for a mixture of particles of two types”, Zh. Vychisl. Mat. Mat. Fiz., 56:12 (2016), 2110–2114 ; Comput. Math. Math. Phys., 56:12 (2016), 2079–2083 |
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2014 |
| 10. |
V. V. Aristov, O. V. Ilyin, “Description of the rapid invasion processes by means of the kinetic model”, Computer Research and Modeling, 6:5 (2014), 829–838 |
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| 11. |
O. V. Ilyin, “Symmetries, the current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model”, TMF, 179:3 (2014), 350–359 ; Theoret. and Math. Phys., 179:3 (2014), 679–688 |
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2012 |
| 12. |
O. V. Ilyin, “Stationary solutions of the kinetic Broadwell model”, TMF, 170:3 (2012), 481–488 ; Theoret. and Math. Phys., 170:3 (2012), 406–412 |
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2009 |
| 13. |
O. V. Ilyin, “Stability analysis of the plane Couette flow for a model kinetic equation”, Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009), 902–915  ; Comput. Math. Math. Phys., 49:5 (2009), 867–880 |
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2007 |
| 14. |
O. V. Ilyin, “Existence and stability analysis for the Carleman kinetic system”, Zh. Vychisl. Mat. Mat. Fiz., 47:12 (2007), 2076–2087 ; Comput. Math. Math. Phys., 47:12 (2007), 1990–2001 |
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