Solov'ev Andrei Valer'evich

Publications in Math-Net.Ru

1. Explicit numerical algorithm for non-hydrostatic fluid dynamics equations based on the CABARET scheme
   
   Matem. Mod., 35:5 (2023),  62–86
2. 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
3. Explicit-implicit scheme CABARETI–NH for the equations of a weakly compressible fluid dynamics
   
   Num. Meth. Prog., 24:2 (2023),  152–169
4. 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
5. 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
6. CABARET scheme with improved dispersion properties for systems of linear hyperbolic-type differential equations
   
   Num. Meth. Prog., 22:1 (2021),  67–76
7. A modification of the CABARET scheme for resolving the sound points in gas flows
   
   Num. Meth. Prog., 20:4 (2019),  481–488
8. Using the Sharp scheme of higher-order accuracy for solving some nonlinear hyperbolic systems of equations
   
   Num. Meth. Prog., 20:1 (2019),  45–53
9. Application of the CABARET algorithm for modeling turbulent mixing on the example of the Richtmyer–Meshkov instability
   
   Matem. Mod., 30:8 (2018),  3–16
10. A higher-order difference scheme of the Cabaret class for solving the transport equation
    
    Num. Meth. Prog., 19:2 (2018),  185–193
11. 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
12. An approximation algorithm for the treatment of sound points in the CABARET scheme
    
    Num. Meth. Prog., 17:2 (2016),  166–176
13. 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
14. A modification of the CABARET scheme for the computation of multicomponent gaseous flows
    
    Num. Meth. Prog., 16:1 (2015),  18–25
15. 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
16. 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
17. Investigation of the approximation of difference operators on a grid of Dirichlet cells
    
    Differ. Uravn., 22:7 (1986),  1227–1237