3 papers
math.NA2025
A Semi-Explicit Compact Fourth-Order Finite-Difference Scheme for the General Acoustic Wave Equation
A. Zlotnik, T. Lomonosov
We construct a new compact semi-explicit three-level in time fourth-order finite-difference scheme for numerical solving the general multidimensional acoustic wave equation, where…
math.NA2024
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
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…