10 citations · 19 across the 4 of their papers we have counts for
4 papers
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…
Algebraic Modification of the Method of Undetermined Coefficients For Solving Nonhomogeneous Linear Difference Equations
Timofey Lomonosov
In this paper, an algebraic modification of the method of undetermined coefficients for solving nonhomogeneous linear stationary difference equations for quasipolynomial right-hand…
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…
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…