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Publications in Math-Net.Ru |
Citations |
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2023 |
| 1. |
V. Goloviznin, Petr Mayorov, Pavel Mayorov, A. Solovjev, N. Afanasiev, “Explicit numerical algorithm for non-hydrostatic fluid dynamics equations based on the CABARET scheme”, Matem. Mod., 35:5 (2023), 62–86   ; Math. Models Comput. Simul., 15:6 (2023), 1008–1023 |
| 2. |
V. M. Goloviznin, P. A. Maiorov, N. A. Afanasiev, P. A. Maiorov, A. V. Solov'ev, “Explicit-implicit scheme CABARETI–NH for the equations of a weakly compressible fluid dynamics”, Num. Meth. Prog., 24:2 (2023), 152–169 |
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2022 |
| 3. |
N. A. Afanasiev, V. M. Goloviznin, P. A. Maiorov, A. V. Solov'ev, “Simulating the dynamics of a fluid with a free surface in a gravitational field by a CABARET method”, Mathematical notes of NEFU, 29:4 (2022), 77–94 |
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| 4. |
V. M. Goloviznin, D. Yu. Gorbachev, N. A. Afanasiev, “Conservative-characteristic method for solving hyperbolic systems of equations on triangular computational grids”, Num. Meth. Prog., 23:4 (2022), 365–378 |
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| 5. |
N. A. Afanasiev, N. È. Shagirov, V. M. Goloviznin, “Interpolatory conservative-characteristic scheme with improved dispersion properties for computational fluid dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022), 1868–1882  ; Comput. Math. Math. Phys., 62:11 (2022), 1885–1899 |
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2021 |
| 6. |
V. M. Goloviznin, N. A. Afanasiev, “Monolithic balance-characteristic method for solving problems of interaction of liquid and gas with deformable objects”, Matem. Mod., 33:10 (2021), 65–82 ; Math. Models Comput. Simul., 14:3 (2022), 398–410 |
| 7. |
N. A. Afanasiev, V. M. Goloviznin, V. N. Semenov, A. M. Sipatov, S. S. Nesterov, “Direct simulation of thermoacoustic instability in gas generators using “CABARET” scheme”, Matem. Mod., 33:2 (2021), 3–19 ; Math. Models Comput. Simul., 13:5 (2021), 820–830 |
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N. A. Afanasiev, P. A. Maiorov, “Cabaret scheme on moving grids for two-dimensional equations of gas dynamics and dynamic elasticity”, Num. Meth. Prog., 22:4 (2021), 306–321 |
| 9. |
N. A. Afanasiev, V. M. Goloviznin, A. V. Solov'ev, “CABARET scheme with improved dispersion properties for systems of linear hyperbolic-type differential equations”, Num. Meth. Prog., 22:1 (2021), 67–76 |
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