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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, Pavel A. Mayorov, Petr A. Mayorov, A. V. Solovjev, “Numerical modelling of three-dimensional variable-density flows by the multilayer hydrostatic model based on the CABARET scheme”, Matem. Mod., 35:3 (2023), 79–92 ; Math. Models Comput. Simul., 15:5 (2023), 832–841 |
| 3. |
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 |
| 4. |
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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2021 |
| 5. |
V. M. Goloviznin, A. V. Solovjev, “Dissipative and dispersive properties of finite difference schemes for the linear transport equation on the $4\times3$ meta-template”, Matem. Mod., 33:6 (2021), 45–58 ; Math. Models Comput. Simul., 14:1 (2022), 28–37 |
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| 6. |
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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2019 |
| 7. |
A. V. Danilin, A. V. Solov'ev, “A modification of the CABARET scheme for resolving the sound points in gas flows”, Num. Meth. Prog., 20:4 (2019), 481–488 |
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| 8. |
A. V. Solov'ev, A. V. Danilin, “Using the Sharp scheme of higher-order accuracy for solving some nonlinear hyperbolic systems of equations”, Num. Meth. Prog., 20:1 (2019), 45–53 |
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2018 |
| 9. |
A. V. Danilin, A. V. Solovjev, “Application of the CABARET algorithm for modeling turbulent mixing on the example of the Richtmyer–Meshkov instability”, Matem. Mod., 30:8 (2018), 3–16 ; Math. Models Comput. Simul., 11:2 (2019), 247–255 |
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| 10. |
A. V. Solov'ev, A. V. Danilin, “A higher-order difference scheme of the Cabaret class for solving the transport equation”, Num. Meth. Prog., 19:2 (2018), 185–193 |
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2017 |
| 11. |
A. V. Danilin, A. V. Solov'ev, A. M. Zaitsev, “A modification of the CABARET scheme for numerical simulation of one-dimensional detonation flows using a one-stage irreversible model of chemical kinetics”, Num. Meth. Prog., 18:1 (2017), 1–10 |
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2016 |
| 12. |
V. M. Goloviznin, A. V. Solov'ev, V. A. Isakov, “An approximation algorithm for the treatment of sound points in the CABARET scheme”, Num. Meth. Prog., 17:2 (2016), 166–176 |
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2015 |
| 13. |
A. V. Danilin, A. V. Solov'ev, A. M. Zaitsev, “A modification of the CABARET scheme for numerical simulation of multicomponent gaseous flows in two-dimensional domains”, Num. Meth. Prog., 16:3 (2015), 436–445 |
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| 14. |
A. V. Danilin, A. V. Solov'ev, “A modification of the CABARET scheme for the computation of multicomponent gaseous flows”, Num. Meth. Prog., 16:1 (2015), 18–25 |
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1988 |
| 15. |
A. V. Solov'ev, M. Yu. Shashkov, “A difference scheme for the method of “Dirichlet particles” in cylindrical coordinates that preserves the symmetry of gas-dynamic flows”, Differ. Uravn., 24:7 (1988), 1249–1257 ; Differ. Equ., 24:7 (1988), 817–823 |
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1987 |
| 16. |
A. V. Solov'ev, E. V. Solov'eva, V. F. Tishkin, A. P. Favorski, M. Yu. Shashkov, “Difference schemes of the method of “Dirichlet particles”, which preserve the one-dimensionality of gas dynamic flows in Cartesian, cylindrical and spherical coordinates”, Differ. Uravn., 23:12 (1987), 2133–2147  |
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1986 |
| 17. |
A. V. Solov'ev, E. V. Solov'eva, V. F. Tishkin, A. P. Favorski, M. Yu. Shashkov, “Investigation of the approximation of difference operators on a grid of Dirichlet cells”, Differ. Uravn., 22:7 (1986), 1227–1237 |
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