Zlotnik, A. A.; Chetverushkin, B. N. Properties and errors of second-order parabolic and hyperbolic perturbations of a first-order symmetric hyperbolic system. (English. Russian original) Zbl 07786606 Sb. Math. 214, No. 4, 444-478 (2023); translation from Mat. Sb. 214, No. 4, 3-37 (2023). MSC: 35B45 35L45 35L52 35K40 PDFBibTeX XMLCite \textit{A. A. Zlotnik} and \textit{B. N. Chetverushkin}, Sb. Math. 214, No. 4, 444--478 (2023; Zbl 07786606); translation from Mat. Sb. 214, No. 4, 3--37 (2023) Full Text: DOI MNR
Zlotnik, Alexander; Fedchenko, Anna On properties of aggregated regularized systems of equations for a homogeneous multicomponent gas mixture. (English) Zbl 1527.35316 Math. Methods Appl. Sci. 45, No. 15, 8906-8927 (2022). MSC: 35Q35 35K45 35K51 PDFBibTeX XMLCite \textit{A. Zlotnik} and \textit{A. Fedchenko}, Math. Methods Appl. Sci. 45, No. 15, 8906--8927 (2022; Zbl 1527.35316) Full Text: DOI
Zlotnik, A. A.; Chetverushkin, B. N. Spectral stability conditions for an explicit three-level finite-difference scheme for a multidimensional transport equation with perturbations. (English. Russian original) Zbl 1496.65133 Differ. Equ. 57, No. 7, 891-900 (2021); translation from Differ. Uravn. 57, No. 7, 922-931 (2021). MSC: 65M06 65N06 65F15 65L12 65L15 65H04 35B20 35L10 76N15 35Q49 PDFBibTeX XMLCite \textit{A. A. Zlotnik} and \textit{B. N. Chetverushkin}, Differ. Equ. 57, No. 7, 891--900 (2021; Zbl 1496.65133); translation from Differ. Uravn. 57, No. 7, 922--931 (2021) Full Text: DOI
Osipov, V. P.; Chetverushkin, B. N. Numerical algorithms for systems with extramassive parallelism. (English. Russian original) Zbl 1451.65122 Comput. Math. Math. Phys. 60, No. 5, 783-794 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 802-814 (2020). MSC: 65M08 PDFBibTeX XMLCite \textit{V. P. Osipov} and \textit{B. N. Chetverushkin}, Comput. Math. Math. Phys. 60, No. 5, 783--794 (2020; Zbl 1451.65122); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 802--814 (2020) Full Text: DOI
Zlotnik, A. A.; Chetverushkin, B. N. Stability of implicit difference schemes for a linearized hyperbolic quasi-gasdynamic system of equations. (English. Russian original) Zbl 1446.65087 Differ. Equ. 56, No. 7, 910-922 (2020); translation from Differ. Uravn. 56, No. 7, 936-947 (2020). MSC: 65M06 76M20 76N15 35Q35 PDFBibTeX XMLCite \textit{A. A. Zlotnik} and \textit{B. N. Chetverushkin}, Differ. Equ. 56, No. 7, 910--922 (2020; Zbl 1446.65087); translation from Differ. Uravn. 56, No. 7, 936--947 (2020) Full Text: DOI
Elizarova, T. G.; Zlotnik, A. A.; Shil’nikov, E. V. Regularized equations for numerical simulation of flows of homogeneous binary mixtures of viscous compressible gases. (English. Russian original) Zbl 1433.76051 Comput. Math. Math. Phys. 59, No. 11, 1832-1847 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 11, 1899-1914 (2019). MSC: 76E17 76N15 76-10 PDFBibTeX XMLCite \textit{T. G. Elizarova} et al., Comput. Math. Math. Phys. 59, No. 11, 1832--1847 (2019; Zbl 1433.76051); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 11, 1899--1914 (2019) Full Text: DOI
Goloviznin, V. M.; Chetverushkin, B. N. New generation algorithms for computational fluid dynamics. (English. Russian original) Zbl 1412.76073 Comput. Math. Math. Phys. 58, No. 8, 1217-1225 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 8 (2018). MSC: 76M20 65M06 65M25 76-04 PDFBibTeX XMLCite \textit{V. M. Goloviznin} and \textit{B. N. Chetverushkin}, Comput. Math. Math. Phys. 58, No. 8, 1217--1225 (2018; Zbl 1412.76073); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 8 (2018) Full Text: DOI