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Publications in Math-Net.Ru
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An analysis of the efficiency of higher-order symplectic schemes by the example of a problem of the collision of a nanoparticle with an obstacle
Num. Meth. Prog., 25:2 (2024), 214–237
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Smoothed particle hydrodynamics method used for numerical simulation of impact between an aluminum particle and a titanium obstacle
Prikl. Mekh. Tekh. Fiz., 63:6 (2022), 150–165
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Explicit higher-order schemes for molecular dynamics problems
Num. Meth. Prog., 22:2 (2021), 87–108
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A divergence-free method of collocations and least squares for the computation of incompressible fluid flows and its efficient implementation
Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:3 (2020), 542–573
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A p-version of the collocation method for solving the Fredholm integral equations of the second kind in the Mathematica environment
Num. Meth. Prog., 20:1 (2019), 1–11
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On combining different acceleration techniques at the iterative solution of PDEs by the method of collocations and least residuals
Model. Anal. Inform. Sist., 24:1 (2017), 39–63
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On combining the techniques for convergence acceleration of iteration processes during the numerical solution of Navier-Stokes equations
Num. Meth. Prog., 18:1 (2017), 80–102
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Construction of third-order schemes using Lagrange-Burmann expansions for the numerical integration of inviscid gas equations
Num. Meth. Prog., 17:1 (2016), 21–43
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Numerical solution of the Poisson equation in polar coordinates by the method of collocations and least residuals
Model. Anal. Inform. Sist., 22:5 (2015), 648–664
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Application of computer algebra systems to the construction of the collocations and least residuals method for solving the 3D Navier–Stokes equations
Model. Anal. Inform. Sist., 21:5 (2014), 131–147
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The method of collocations and least residuals for three-dimensional Navier-Stokes equations
Num. Meth. Prog., 14:3 (2013), 306–322
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Application of Lagrange–Burmann expansions for the
numerical integration of the inviscid gas equations
Num. Meth. Prog., 12:3 (2011), 348–361
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Derivation of explicit difference schemes for ordinary differential
equations with the aid of Lagrange-Burmann expansions
Num. Meth. Prog., 11:2 (2010), 198–209
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Analytical and numerical study of gas flow in a casing with a rotating disk
Num. Meth. Prog., 10:3 (2009), 348–362
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A mathematical model of the quasi-two-dimensional fluid flow in the compensator channel of a drilling mechanism
Sib. Zh. Ind. Mat., 10:1 (2007), 52–61
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The application of a spinor calculus to the investigation of the stability of finite-difference schemes
Zh. Vychisl. Mat. Mat. Fiz., 43:2 (2003), 235–250
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Parallel implementation of stability analysis of difference schemes with MATHEMATICA
Zap. Nauchn. Sem. POMI, 258 (1999), 231–255
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Analysis of the stability of finite-difference schemes on a
computer by means of symbolic transformations and optimization methods
Dokl. Akad. Nauk SSSR, 306:5 (1989), 1033–1037
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On the property of $K$-compatibility of difference schemes in gas dynamics
Dokl. Akad. Nauk SSSR, 259:1 (1981), 18–24
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On the theory of differential analyzers of contact discontinuities
Dokl. Akad. Nauk SSSR, 247:1 (1979), 48–52
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Differential analysers of shock waves
Dokl. Akad. Nauk SSSR, 227:1 (1976), 50–53
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