7 citations · 12 across the 4 of their papers we have counts for
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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…
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…
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 properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation
Alexander Zlotnik
An initial-boundary value problem for the -dimensional wave equation is considered. A three-level explicit in time and conditionally stable 4th-order compact scheme constructed…