10 citations · 19 across the 4 of their papers we have counts for
Showing math.NAShow all
3 papers · 1 filter
math.NA2024★ 2 cited
On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation
Alexander Zlotnik, Timofey Lomonosov
We deal with an initial-boundary value problem for the multidimensional acoustic wave equation, with the variable speed of sound. For a three-level semi-explicit in time higher-ord…
math.NA2023★ 7 cited
On a Doubly Reduced Model for Dynamics of Heterogeneous Mixtures of Stiffened Gases, its Regularizations and their Implementations
A. Zlotnik, T. Lomonosov
We deal with the reduced four-equation model for the dynamics of heterogeneous compressible binary mixtures with the stiffened gas equations of state. We study its further reduced…
math.NA2018★ 10 cited
On conditions for weak conservativeness of regularized explicit finite-difference schemes for 1D barotropic gas dynamics equations
A. Zlotnik, T. Lomonosov
We consider explicit two-level three-point in space finite-difference schemes for solving 1D barotropic gas dynamics equations. The schemes are based on special quasi-gasdynamic an…