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Publications in Math-Net.Ru
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High-precision difference boundary conditions for bicompact circuits split by transfer processes
Zh. Vychisl. Mat. Mat. Fiz., 65:9 (2025), 1525–1539
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Bicompact schemes on locally adaptive cartesian grids for the convection-diffusion equation
Zh. Vychisl. Mat. Mat. Fiz., 65:4 (2025), 528–547
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Upwind bicompact schemes for hyperbolic conservation laws
Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024), 50–56
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A comparison of two approaches to construct combined schemes for multidimensional Euler equations
Mat. Model., 36:6 (2024), 74–88
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Numerical modeling of compressible mixing layers with a bicompact scheme
Mat. Model., 36:2 (2024), 3–24
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Actual accuracy of linear schemes of high-order approximation in gasdynamic simulations
Zh. Vychisl. Mat. Mat. Fiz., 64:1 (2024), 149–161
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Bicompact Schemes for Compressible Navier–Stokes Equations
Dokl. RAN. Math. Inf. Proc. Upr., 509 (2023), 17–22
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Experimental and numerical investigation of the dynamics of development of Rayleigh–Taylor instability at Atwood numbers close to unity
Mat. Model., 35:1 (2023), 59–82
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Implicit-explicit bicompact schemes for hyperbolic systems of conservation laws
Mat. Model., 34:6 (2022), 3–21
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Combined numerical schemes
Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022), 1763–1803
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Influence of monotonization on the spectral resolution of bicompact schemes in the inviscid Taylor–Green vortex problem
Zh. Vychisl. Mat. Mat. Fiz., 62:4 (2022), 625–641
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Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations
Mat. Model., 33:12 (2021), 49–66
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Entropy stable discontinuous Galerkin method for two-dimensional Euler equations
Mat. Model., 33:2 (2021), 125–140
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Accuracy of bicompact schemes in the problem of Taylor–Green vortex decay
Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021), 1759–1778
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Bicompact schemes for the multidimensional convection–diffusion equation
Zh. Vychisl. Mat. Mat. Fiz., 61:4 (2021), 625–643
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Bicompact schemes for gas dynamics problems: introducing complex domains using the free boundary method
Computer Research and Modeling, 12:3 (2020), 487–504
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Combined multidimensional bicompact scheme with higher order accuracy in domains of influence of nonstationary shock waves
Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 9–13
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Combined monotone bicompact scheme of higher order accuracy in domains of influence of nonstationary shock waves
Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 79–84
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Entropy stability of bicompact schemes in gas dynamics problems
Mat. Model., 32:11 (2020), 114–128
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High-order bicompact schemes for numerical modelling of multispecies multi-reaction gas flows
Mat. Model., 32:6 (2020), 21–36
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Discontinuous Galerkin method with entropic slope limiter for Euler equations
Mat. Model., 32:2 (2020), 113–128
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On the accuracy of bicompact schemes as applied to computation of unsteady shock waves
Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020), 884–899
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Ensuring the entropy stability of the discontinuous Galerkin method in gas-dynamics problems
Keldysh Institute preprints, 2019, 051, 22 pp.
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Verification of an entropic regularization method for discontinuous Galerkin schemes applied to hyperbolic equations
Keldysh Institute preprints, 2019, 018, 25 pp.
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Bicompact schemes for multidimensional hyperbolic equations on Cartesian meshes with solution-based AMR
Keldysh Institute preprints, 2019, 011, 27 pp.
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A conservative limiting method for bicompact schemes
Keldysh Institute preprints, 2019, 008, 26 pp.
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Analytical solution of equations of the physical theory of meteors for a non-fragmenting body with ablation in a nonisothermal atmosphere
Prikl. Mekh. Tekh. Fiz., 60:5 (2019), 13–18
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High-order bicompact schemes for shock-capturing computations of detonation waves
Zh. Vychisl. Mat. Mat. Fiz., 59:8 (2019), 1381–1391
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On the convergence of the method of iterative approximate factorization of difference operators of high-order accurate bicompact scheme for nonstationary three-dimensional hyperbolic equations
Keldysh Institute preprints, 2018, 132, 16 pp.
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Iterative approximate factorization of difference operators of high-order accurate bicompact schemes for multidimensional nonhomogeneous quasilinear hyperbolic systems
Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018), 313–325
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A new hybrid scheme for computing discontinuous solutions of hyperbolic equations
Keldysh Institute preprints, 2016, 022, 22 pp.
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Minimal dissipation hybrid bicompact schemes for hyperbolic equations
Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 958–972
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Hybrid running schemes with upwind and bicompact symmetric differencing for hyperbolic equations
Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015), 1196–1207
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Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations
Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 815–820
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The locally adaptive choise of time step in molecular dynamics' problems
Keldysh Institute preprints, 2013, 062, 39 pp.
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