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
Lutsky, A. E.; Chetverushkin, B. N. Limits for detailed description of problems in continuous media mechanics and numerical algorithm for viscous gas flow simulation. (English. Russian original) Zbl 1481.76147 Dokl. Math. 102, No. 1, 309-312 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 57-61 (2020). MSC: 76M12 76M20 76N15 76P05 76J20 PDFBibTeX XMLCite \textit{A. E. Lutsky} and \textit{B. N. Chetverushkin}, Dokl. Math. 102, No. 1, 309--312 (2020; Zbl 1481.76147); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 57--61 (2020) Full Text: DOI
Zlotnik, A. A.; Chetverushkin, B. N. Stability of numerical methods for solving second-order hyperbolic equations with a small parameter. (English. Russian original) Zbl 1528.65063 Dokl. Math. 101, No. 1, 30-35 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 35-41 (2020). MSC: 65M22 65N06 65N30 65M12 35L10 PDFBibTeX XMLCite \textit{A. A. Zlotnik} and \textit{B. N. Chetverushkin}, Dokl. Math. 101, No. 1, 30--35 (2020; Zbl 1528.65063); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 35--41 (2020) Full Text: DOI
Chetverushkin, B. N.; Saveliev, A. V.; Saveliev, V. I. Modeling of problems in magnetohydrodynamics on high performance computational systems. (Russian. English summary) Zbl 1454.76062 Mat. Model. 32, No. 12, 3-13 (2020). MSC: 76M20 76W05 65Y15 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} et al., Mat. Model. 32, No. 12, 3--13 (2020; Zbl 1454.76062) Full Text: DOI MNR
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
Glotov, V. Y.; Goloviznin, V. M.; Chetverushkin, B. N. Balance & characteristic finite difference schemes for the equations of the parabolic type. (Russian. English summary) Zbl 1440.65121 Mat. Model. 32, No. 4, 94-106 (2020). MSC: 65M25 65M06 PDFBibTeX XMLCite \textit{V. Y. Glotov} et al., Mat. Model. 32, No. 4, 94--106 (2020; Zbl 1440.65121) Full Text: DOI MNR
Chetverushkin, B. N.; Saveliev, Andrey V.; Saveliev, Valeri I. Compact quasi-gasdynamic system for high-performance computations. (English. Russian original) Zbl 1416.76173 Comput. Math. Math. Phys. 59, No. 3, 493-500 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 3, 526-533 (2019). MSC: 76M20 76N15 65Y10 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} et al., Comput. Math. Math. Phys. 59, No. 3, 493--500 (2019; Zbl 1416.76173); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 3, 526--533 (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
Chetverushkin, Boris N.; Churbanova, Natalia G.; Kuleshov, Andrey A.; Lyupa, Anastasiya A.; Trapeznikova, Marina A. Application of kinetic approach to porous medium flow simulation in environmental hydrology problems on high-performance computing systems. (English) Zbl 06617144 Russ. J. Numer. Anal. Math. Model. 31, No. 4, 187-196 (2016). MSC: 65C20 65M06 76S05 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} et al., Russ. J. Numer. Anal. Math. Model. 31, No. 4, 187--196 (2016; Zbl 06617144) Full Text: DOI
D’Ascenzo, N.; Saveliev, V. I.; Chetverushkin, B. N. On an algorithm for solving parabolic and elliptic equations. (English. Russian original) Zbl 1327.65159 Comput. Math. Math. Phys. 55, No. 8, 1290-1297 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 8, 1320-1328 (2015). MSC: 65M06 35Q85 65Y05 35K20 35J05 65N06 65M12 65N12 85-08 PDFBibTeX XMLCite \textit{N. D'Ascenzo} et al., Comput. Math. Math. Phys. 55, No. 8, 1290--1297 (2015; Zbl 1327.65159); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 8, 1320--1328 (2015) Full Text: DOI
Chetverushkin, B. N.; D’Ascenzo, N.; Saveliev, V. I. Three-level scheme for solving parabolic and elliptic equations. (English. Russian original) Zbl 1325.65145 Dokl. Math. 91, No. 3, 341-343 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 4, 404-407 (2015). MSC: 65N06 35J05 65M06 35K20 65N12 65M12 65Y05 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} et al., Dokl. Math. 91, No. 3, 341--343 (2015; Zbl 1325.65145); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 4, 404--407 (2015) Full Text: DOI
Elizarova, T. G.; Zlotnik, A. A.; Chetverushkin, B. N. On quasi-gasdynamic and quasi-hydrodynamic equations for binary gas mixtures. (English. Russian original) Zbl 1315.76028 Dokl. Math. 90, No. 3, 719-723 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 4, 395-399 (2014). MSC: 76N15 76M20 PDFBibTeX XMLCite \textit{T. G. Elizarova} et al., Dokl. Math. 90, No. 3, 719--723 (2014; Zbl 1315.76028); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 4, 395--399 (2014) Full Text: DOI
Chetverushkin, B. N.; Gulin, A. V. Explicit schemes and numerical simulation using ultrahigh-performance computer systems. (English. Russian original) Zbl 1393.82001 Dokl. Math. 86, No. 2, 681-683 (2012); translation from Dokl. Akad. Nauk. 446, No. 5, 501-503 (2012). MSC: 82-08 82C80 65M06 76M20 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} and \textit{A. V. Gulin}, Dokl. Math. 86, No. 2, 681--683 (2012; Zbl 1393.82001); translation from Dokl. Akad. Nauk. 446, No. 5, 501--503 (2012) Full Text: DOI
Ivakhnenko, I. A.; Polyakov, S. V.; Chetverushkin, B. N. Quasi-hydrodynamic model and small scale turbulence. (Russian. English summary) Zbl 1150.76449 Mat. Model. 20, No. 2, 13-20 (2008). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76M20 76F06 76D05 PDFBibTeX XMLCite \textit{I. A. Ivakhnenko} et al., Mat. Model. 20, No. 2, 13--20 (2008; Zbl 1150.76449) Full Text: MNR
Chetverushkin, B. N.; Shilnikov, E. V. Software package for 3D viscous gas flow simulation on multiprocessor computer systems. (Russian, English) Zbl 1224.65318 Zh. Vychisl. Mat. Mat. Fiz. 48, No. 2, 309-320 (2008); translation in Comput. Math. Math. Phys. 48, No. 1, 295-305 (2008). MSC: 65Y05 68Q10 76M20 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} and \textit{E. V. Shilnikov}, Zh. Vychisl. Mat. Mat. Fiz. 48, No. 2, 309--320 (2008; Zbl 1224.65318); translation in Comput. Math. Math. Phys. 48, No. 1, 295--305 (2008) Full Text: DOI
Kovalev, V. F.; Chetverushkin, B. N. On the Galilean group for balance relations generating kinetic schemes. (Russian, English) Zbl 1210.65181 Zh. Vychisl. Mat. Mat. Fiz. 46, No. 3, 485-489 (2006); translation in Comput. Math. Math. Phys. 46, No. 3, 465-469 (2006). MSC: 65N06 PDFBibTeX XMLCite \textit{V. F. Kovalev} and \textit{B. N. Chetverushkin}, Zh. Vychisl. Mat. Mat. Fiz. 46, No. 3, 485--489 (2006; Zbl 1210.65181); translation in Comput. Math. Math. Phys. 46, No. 3, 465--469 (2006)
Chetverushkin, Boris Kinetic schemes and a quasi-gas-dynamic system of equations. (Кинетические схемы и квазит азодинамическая система уравнений.) (Russian) Zbl 1217.82002 Prikladnaya Matematika i Informatika. Moskva: MAKS Press (ISBN 5-317-00974-X). 328 p. (2004). Reviewer: Piotr Garbaczewski (Opole) MSC: 82-02 82C40 82C80 76P05 76D05 65M06 65Z05 65Y05 PDFBibTeX XMLCite \textit{B. Chetverushkin}, Кинетические схемы и квазит азодинамическая система уравнений (Russian). Moskva: MAKS Press (2004; Zbl 1217.82002)
Chetverushkin, B.; Churbanova, N.; Trapeznikova, M.; Romanyukha, N. Solution of computational fluid dynamics problems on parallel computers with distributed memory. (English) Zbl 1077.76534 Chetverushkin, Boris (ed.) et al., Parallel computational fluid dynamics. Advanced numerical methods, software and applications. Proceedings of the parallel CFD 2003 conference, Moscow, Russia, May 13–15, 2003. Amsterdam: Elsevier (ISBN 0-444-51612-3/hbk). 489-496 (2004). MSC: 76M20 76N15 76V05 65Y05 PDFBibTeX XMLCite \textit{B. Chetverushkin} et al., in: Parallel computational fluid dynamics. Advanced numerical methods, software and applications. Proceedings of the parallel CFD 2003 conference, Moscow, Russia, May 13--15, 2003. Amsterdam: Elsevier. 489--496 (2004; Zbl 1077.76534)
Belotserkovskaya, M. S.; Oparin, A. M.; Chetverushkin, B. N. Application of the embedded grids for modeling of a filtration process. (Russian. English summary) Zbl 1091.76046 Mat. Model. 16, No. 12, 3-10 (2004). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76M20 76S05 65Y05 PDFBibTeX XMLCite \textit{M. S. Belotserkovskaya} et al., Mat. Model. 16, No. 12, 3--10 (2004; Zbl 1091.76046) Full Text: MNR
Chetverushkin, B.; Churbanova, N.; Iakobovski, M.; Romanyukha, M. Simulation of combustion problems using multiprocessor computer systems. (English) Zbl 1072.76597 Matsuno, K. (ed.) et al., Parallel computational fluid dynamics. New frontiers and multi-disciplinary applications. Proceedings of the 14th parallel CFD 2002 conference, Kansei Science City, Japan, May 20–22, 2002. Amsterdam: North-Holland (ISBN 0-444-50680-2/hbk). 141-148 (2003). MSC: 76M20 76V05 65Y05 80A25 PDFBibTeX XMLCite \textit{B. Chetverushkin} et al., in: Parallel computational fluid dynamics. New frontiers and multi-disciplinary applications. Proceedings of the 14th parallel CFD 2002 conference, Kansei Science City, Japan, May 20--22, 2002. Amsterdam: North-Holland. 141--148 (2003; Zbl 1072.76597)
Kovalev, V. F.; Chetverushkin, B. N. On the invariance of quasi-gasdynamic equations. (Russian) Zbl 1046.76030 Dokl. Akad. Nauk, Ross. Akad. Nauk 388, No. 6, 743-746 (2003); translation in Dokl. Math. 67, No. 1, 116-118 (2003). Reviewer: Andrei Zemskov (Moskva) MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{V. F. Kovalev} and \textit{B. N. Chetverushkin}, Dokl. Akad. Nauk, Ross. Akad. Nauk 388, No. 6, 743--746 (2003; Zbl 1046.76030); translation in Dokl. Math. 67, No. 1, 116--118 (2003)
Dorodnitsyn, L. W.; Chetverushkin, B. N. On a new version of the quasi-gas-dynamic system of equations. (Russian. English summary) Zbl 1029.76047 Mat. Model. 15, No. 1, 78-86 (2003). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76N15 76M20 PDFBibTeX XMLCite \textit{L. W. Dorodnitsyn} and \textit{B. N. Chetverushkin}, Mat. Model. 15, No. 1, 78--86 (2003; Zbl 1029.76047) Full Text: MNR
Chetverushkin, B. N. Kinetic schemes and high performance multiprocessor computations in gas dynamics. (Russian. English summary) Zbl 1150.76446 Vychisl. Tekhnol. 7, No. 6, 65-89 (2002). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{B. N. Chetverushkin}, Vychisl. Tekhnol. 7, No. 6, 65--89 (2002; Zbl 1150.76446)
Zhokhova, A. V.; Chetverushkin, B. N. Modeling of unsteady gasdynamic flows. (Russian. English summary) Zbl 1024.76034 Mat. Model. 14, No. 4, 35-44 (2002). MSC: 76M20 76N15 80A20 PDFBibTeX XMLCite \textit{A. V. Zhokhova} and \textit{B. N. Chetverushkin}, Mat. Model. 14, No. 4, 35--44 (2002; Zbl 1024.76034) Full Text: MNR
Trapeznikova, M. A.; Belotserkovskaya, M. S.; Chetverushkin, B. N. Analog of kinetic-consistent schemes for simulation of a filtration problem. (Russian. English summary) Zbl 1014.76059 Mat. Model. 14, No. 10, 69-76 (2002). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76M20 76S05 PDFBibTeX XMLCite \textit{M. A. Trapeznikova} et al., Mat. Model. 14, No. 10, 69--76 (2002; Zbl 1014.76059) Full Text: MNR
Abalakin, I. V.; Antonov, A. N.; Antonov, M. A.; Kozubskaya, T. K.; Chetverushkin, B. N. Application of kinetically consistent finite difference schemes for turbulent supersonic jet noise prediction. (Russian. English summary) Zbl 1091.76530 Mat. Model. 13, No. 10, 56-76 (2001). MSC: 76M20 76Q05 76F60 PDFBibTeX XMLCite \textit{I. V. Abalakin} et al., Mat. Model. 13, No. 10, 56--76 (2001; Zbl 1091.76530) Full Text: MNR
Abalakin, I. V.; Zhokhova, A. V.; Chetverushkin, B. N. Kinetically consistent high-accuracy schemes. (Russian. English summary) Zbl 1044.76045 Mat. Model. 13, No. 5, 53-61 (2001). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{I. V. Abalakin} et al., Mat. Model. 13, No. 5, 53--61 (2001; Zbl 1044.76045) Full Text: MNR
Dorodnitsyn, L. V.; Chetverushkin, B. N.; Churbanova, N. G. Kinetically-consistent difference schemes and quasi-gas-dynamic model for flows of dense gases and fluids. (Russian. English summary) Zbl 1052.76044 Mat. Model. 13, No. 4, 47-57 (2001). MSC: 76M20 76P05 PDFBibTeX XMLCite \textit{L. V. Dorodnitsyn} et al., Mat. Model. 13, No. 4, 47--57 (2001; Zbl 1052.76044) Full Text: MNR
Abalakin, I. V.; Zhokhova, A. V.; Chetverushkin, B. N. Difference schemes based on kinetic splitting of flux vector. (Russian. English summary) Zbl 1027.76616 Mat. Model. 12, No. 4, 73-82 (2000). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{I. V. Abalakin} et al., Mat. Model. 12, No. 4, 73--82 (2000; Zbl 1027.76616) Full Text: MNR
Abalakin, I. V.; Antonov, A. N.; Chetverushkin, B. N.; Graur, I. A. Application of the algebraic turbulent model to the unsteady flow simulation around a cavity. (Russian. English summary) Zbl 1027.76587 Mat. Model. 12, No. 1, 45-56 (2000). MSC: 76F40 76M20 PDFBibTeX XMLCite \textit{I. V. Abalakin} et al., Mat. Model. 12, No. 1, 45--56 (2000; Zbl 1027.76587) Full Text: MNR
Abalakin, I. V.; Antonov, A. N.; Antonov, M. A.; Chetverushkin, B. N. Numerical simulation of supersonic jets using kinetically-consistent finite difference schemes. (Russian. English summary) Zbl 1091.76529 Mat. Model. 12, No. 1, 25-37 (2000). MSC: 76M20 76J20 PDFBibTeX XMLCite \textit{I. V. Abalakin} et al., Mat. Model. 12, No. 1, 25--37 (2000; Zbl 1091.76529) Full Text: MNR
Andrianov, A. N.; Zhokhova, A. V.; Chetverushkin, B. N. Using parallel algorithms to compute gas-dynamic flows on irregular grids. (English. Russian original) Zbl 1041.76051 Comput. Math. Model. 12, No. 1, 50-58 (2001); translation from Prikl. Mat. Inf. 4, 68-76 (2000). MSC: 76M20 76J20 65Y05 76-04 PDFBibTeX XMLCite \textit{A. N. Andrianov} et al., Comput. Math. Model. 12, No. 1, 51--58 (2000; Zbl 1041.76051); translation from Prikl. Mat. Inf. 4, 68--76 (2000) Full Text: DOI
Dorodnitsyn, L. V.; Chetverushkin, B. N. Kinetically consistent schemes for simulations of viscous gas flows. (English. Russian original) Zbl 0998.76059 Comput. Math. Math. Phys. 40, No. 12, 1801-1815 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 12, 1875-1889 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{L. V. Dorodnitsyn} and \textit{B. N. Chetverushkin}, Comput. Math. Math. Phys. 40, No. 12, 1801--1815 (2000; Zbl 0998.76059); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 12, 1875--1889 (2000)
Kozubskaya, T. K.; Chetverushkin, B. N.; Yukhno, L. F. Harmonic analysis of the quasi-gasdynamic system of equations for viscous gas flows and kinetically consistent finite difference schemes in their linear approximations. (English. Russian original) Zbl 0985.76077 Comput. Math. Math. Phys. 40, No. 2, 253-260 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 2, 265-273 (2000). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 76N15 76M20 PDFBibTeX XMLCite \textit{T. K. Kozubskaya} et al., Comput. Math. Math. Phys. 40, No. 2, 253--260 (2000; Zbl 0985.76077); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 2, 265--273 (2000)
Dorodnitsyn, L. V.; Chetverushkin, B. N.; Shil’nikov, E. V. On implicit kinetically consistent schemes. (Russian. English summary) Zbl 1189.76360 Mat. Model. 11, No. 7, 64-74 (1999). MSC: 76M20 76P05 PDFBibTeX XMLCite \textit{L. V. Dorodnitsyn} et al., Mat. Model. 11, No. 7, 64--74 (1999; Zbl 1189.76360) Full Text: MNR
Chetverushkin, B. N.; Dorodnitsyn, L. V. Kinetically consistent schemes in gas dynamics. (Russian. English summary) Zbl 1189.76359 Mat. Model. 11, No. 5, 84-100 (1999). MSC: 76M20 76N15 76P05 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} and \textit{L. V. Dorodnitsyn}, Mat. Model. 11, No. 5, 84--100 (1999; Zbl 1189.76359) Full Text: MNR
Milyukova, O. Yu.; Chetverushkin, B. N. Parallel version of the alternating triangular method. (English. Russian original) Zbl 0951.65102 Comput. Math. Math. Phys. 38, No. 2, 219-229 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 228-238 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65N06 65F10 65Y05 35J25 PDFBibTeX XMLCite \textit{O. Yu. Milyukova} and \textit{B. N. Chetverushkin}, Comput. Math. Math. Phys. 38, No. 2, 1 (1998; Zbl 0951.65102); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 228--238 (1998)
Chetverushkin, B. N.; Churbanova, N. G. Simulation of gas flows for small Mach numbers. (English. Russian original) Zbl 0962.76063 Differ. Equations 34, No. 7, 991-996 (1998); translation from Differ. Uravn. 34, No. 7, 988-992 (1998). Reviewer: Valentin Chernyatin (Szczecin) MSC: 76M20 76N15 76D05 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} and \textit{N. G. Churbanova}, Differ. Equations 34, No. 7, 991--996 (1998; Zbl 0962.76063); translation from Differ. Uravn. 34, No. 7, 988--992 (1998)
Graur, I. A.; Chetverushkin, B. N. The validation of kinetically consistent finite difference schemes with correction. (Russian. English summary) Zbl 1071.76545 Mat. Model. 9, No. 11, 111-118 (1997). MSC: 76M20 76N15 65M06 PDFBibTeX XMLCite \textit{I. A. Graur} and \textit{B. N. Chetverushkin}, Mat. Model. 9, No. 11, 111--118 (1997; Zbl 1071.76545) Full Text: MNR
Abalakin, I. V.; Zhokhova, A. V.; Chetverushkin, B. N. Kinetically consistent difference schemes on irregular grids. (Russian. English summary) Zbl 1071.76542 Mat. Model. 9, No. 7, 44-53 (1997). MSC: 76M20 76P05 PDFBibTeX XMLCite \textit{I. V. Abalakin} et al., Mat. Model. 9, No. 7, 44--53 (1997; Zbl 1071.76542) Full Text: MNR
Dorodnitsyn, L. V.; Chetverushkin, B. N. On an implicit scheme for simulation of low Mach number gas flow. (Russian. English summary) Zbl 0993.76542 Mat. Model. 9, No. 5, 108-118 (1997). MSC: 76M20 76G25 PDFBibTeX XMLCite \textit{L. V. Dorodnitsyn} and \textit{B. N. Chetverushkin}, Mat. Model. 9, No. 5, 108--118 (1997; Zbl 0993.76542) Full Text: MNR
Chetverushkin, B. On improvement of gas flow description via kinetically-consistent difference schemes. (English) Zbl 0961.76059 Chetverushkin, B. N. (ed.) et al., Experimentation, modelling and computation in flow, turbulence and combustion. Vol. 2. Proceedings of the 3rd French-Russian-Uzbek workshop on Fluid dynamics, Tashkent, Uzbekistan, April 23-28, 1995. Chichester: Wiley. CMAS: Computational Methods in Applied Sciences. 27-37 (1997). Reviewer: W.Zulehner (Linz) MSC: 76M20 76N15 76P05 PDFBibTeX XMLCite \textit{B. Chetverushkin}, in: Experimentation, modelling and computation in flow, turbulence and combustion. Volume 2. Proceedings of the 3rd French-Russian-Uzbek workshop on fluid dynamics, Tashkent, Uzbekistan, April 23--28, 1995. Chichester: Wiley. 27--37 (1997; Zbl 0961.76059)
Abalakin, I. V.; Chetverushkin, B. N. Kinetically consistent finite difference schemes as a model for gasdynamic flow description. (Russian. English summary) Zbl 1063.76601 Mat. Model. 8, No. 8, 17-36 (1996). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{I. V. Abalakin} and \textit{B. N. Chetverushkin}, Mat. Model. 8, No. 8, 17--36 (1996; Zbl 1063.76601) Full Text: MNR
Antonov, M. A.; Graur, I. A.; Kosarev, L. V.; Chetverushkin, B. N. Numerical modeling of pressure pulsations in three-dimensional cavities. (Russian. English summary) Zbl 1063.76602 Mat. Model. 8, No. 5, 76-90 (1996). MSC: 76M20 76J20 PDFBibTeX XMLCite \textit{M. A. Antonov} et al., Mat. Model. 8, No. 5, 76--90 (1996; Zbl 1063.76602) Full Text: MNR
Chetverushkin, B. N. Kinetically consistent finite difference schemes and their application to transient flow prediction. (English) Zbl 0885.76062 Désidéri, J. A. (ed.) et al., Experimentation, modelling, and computation in flow, turbulence and combustion. Volume 1. Proceedings of the 2nd French-Russian workshop on fluid dynamics, Sophia Antipolis, France, April 1993. Chichester: John Wiley & Sons Ltd. CMAS: Computational Methods in Applied Sciences. 211-220 (1996). Reviewer: Th.Sonar (Hamburg) MSC: 76M20 76F10 76P05 PDFBibTeX XMLCite \textit{B. N. Chetverushkin}, in: Experimentation, modelling, and computation in flow, turbulence and combustion. Volume 1. Proceedings of the 2nd French-Russian workshop on fluid dynamics, Sophia Antipolis, France, April 1993. Chichester: John Wiley \& Sons Ltd.. 211--220 (1996; Zbl 0885.76062)
Lukshin, An. V.; Chetverushkin, B. N. On the theory of kinetically consistent difference schemes. (Russian. English summary) Zbl 0993.76536 Mat. Model. 7, No. 11, 109-125 (1995). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{An. V. Lukshin} and \textit{B. N. Chetverushkin}, Mat. Model. 7, No. 11, 109--125 (1995; Zbl 0993.76536) Full Text: MNR
Antonov, M. A.; Graur, I. A.; Kosarev, L. V.; Chetverushkin, B. N. Numerical modelling of oscillatory flow in an open cavity. (Russian. English summary) Zbl 0974.76563 Mat. Model. 7, No. 11, 3-15 (1995). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{M. A. Antonov} et al., Mat. Model. 7, No. 11, 3--15 (1995; Zbl 0974.76563) Full Text: MNR
Kornilina, M. A.; Samarskaya, E. A.; Chetverushkin, B. N.; Churbanova, N. G.; Jakobovskij, M. V. Modelling of oil reservoir exploitation on parallel computer systems. (Russian. English summary) Zbl 0993.76534 Mat. Model. 7, No. 2, 35-48 (1995). MSC: 76M20 76S05 86A05 65Y05 PDFBibTeX XMLCite \textit{M. A. Kornilina} et al., Mat. Model. 7, No. 2, 35--48 (1995; Zbl 0993.76534) Full Text: MNR
Abalakin, I. V.; Chetverushkin, B. N. On an extension of the gas flow description by means of kinetically-consistent difference schemes. (Russian. English summary) Zbl 1075.76591 Mat. Model. 6, No. 7, 3-14 (1994). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{I. V. Abalakin} and \textit{B. N. Chetverushkin}, Mat. Model. 6, No. 7, 3--14 (1994; Zbl 1075.76591) Full Text: MNR
Graur, I. A.; Elizarova, T. G.; Kosarev, L. V.; Chetverushkin, B. N. Numerical modelling of heat and mass transfer in three-dimensional cavities. (Russian. English summary) Zbl 1075.76602 Mat. Model. 6, No. 5, 37-54 (1994). MSC: 76M20 76N15 80A20 65Y05 PDFBibTeX XMLCite \textit{I. A. Graur} et al., Mat. Model. 6, No. 5, 37--54 (1994; Zbl 1075.76602) Full Text: MNR
Samarskaya, E. A.; Chetverushkin, B. N.; Churbanova, N. G.; Yakobovskij, M. V. Simulation of pollution spreading in subsoil water horizons using parallel systems. (Russian. English summary) Zbl 1075.76678 Mat. Model. 6, No. 4, 3-12 (1994). MSC: 76S05 76M20 86A05 65Y05 PDFBibTeX XMLCite \textit{E. A. Samarskaya} et al., Mat. Model. 6, No. 4, 3--12 (1994; Zbl 1075.76678) Full Text: MNR
Pavlov, A. N.; Chaika, A. S.; Chetverushkin, B. N. Finite difference schemes with artificial kinetic-consistent viscosity for Navier-Stokes equations on curvilinear orthogonal grids. (Russian. English summary) Zbl 1075.76614 Mat. Model. 5, No. 4, 57-75 (1993). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{A. N. Pavlov} et al., Mat. Model. 5, No. 4, 57--75 (1993; Zbl 1075.76614) Full Text: MNR
Peĭgin, S. I.; Timchenko, S. V.; Chetverushkin, B. N.; Churbanova, N. G. Simulation of flow in three-dimensional viscous shock layer on distributed memory multiprocessor system. (Russian. English summary) Zbl 1002.76546 Mat. Model. 5, No. 7, 41-48 (1993). MSC: 76M20 76K05 65Y05 PDFBibTeX XMLCite \textit{S. I. Peĭgin} et al., Mat. Model. 5, No. 7, 41--48 (1993; Zbl 1002.76546) Full Text: MNR
Abalakin, I. V.; Chetverushkin, B. N. Kinetically-consistent finite difference schemes as a model for the flows of moderately rarefied gases. (Russian. English summary) Zbl 0974.76549 Mat. Model. 5, No. 5, 61-70 (1993). MSC: 76M20 76P05 PDFBibTeX XMLCite \textit{I. V. Abalakin} and \textit{B. N. Chetverushkin}, Mat. Model. 5, No. 5, 61--70 (1993; Zbl 0974.76549) Full Text: MNR
Chetverushkin, B. N.; Churbanova, N. G. Application of the geometric parallelism principle for the (\(\alpha\)-\(\beta\))-iterative algorithm. (Russian. English summary) Zbl 1189.65270 Mat. Model. 3, No. 3, 123-129 (1991). MSC: 65N06 65Y05 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} and \textit{N. G. Churbanova}, Mat. Model. 3, No. 3, 123--129 (1991; Zbl 1189.65270) Full Text: MNR
Elizarova, T. G.; Tsynkov, S. V.; Chetverushkin, B. N. Kinetically consistent difference schemes in curvilinear coordinates. (English. Russian original) Zbl 0797.76053 Differ. Equations 27, No. 7, 813-820 (1991); translation from Differ. Uravn. 27, No. 7, 1161-1169 (1991). MSC: 76M20 76P05 PDFBibTeX XMLCite \textit{T. G. Elizarova} et al., Differ. Equations 27, No. 7, 813--820 (1991; Zbl 0797.76053); translation from Differ. Uravn. 27, No. 7, 1161--1169 (1991)
Antonov, A. N.; Elizarova, T. G.; Chetverushkin, B. N.; Sheretov, Yu. V. Numerical modelling of pulsating regimes accompanying supersonic flow round a hollow cylinder. (English. Russian original) Zbl 0727.76083 U.S.S.R. Comput. Math. Math. Phys. 30, No. 2, 139-144 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 4, 548-556 (1990). MSC: 76M20 76J20 76N15 PDFBibTeX XMLCite \textit{A. N. Antonov} et al., U.S.S.R. Comput. Math. Math. Phys. 30, No. 2, 139--144 (1990; Zbl 0727.76083); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 4, 548--556 (1990) Full Text: DOI
Chetverushkin, B. N.; Shil’nikov, E. V. Construction of kinetically-consistent difference schemes for calculation of flows of electrically charged media. (Russian. English summary) Zbl 0974.78545 Mat. Model. 2, No. 8, 127-138 (1990). MSC: 78M20 78A35 PDFBibTeX XMLCite \textit{B. N. Chetverushkin} and \textit{E. V. Shil'nikov}, Mat. Model. 2, No. 8, 127--138 (1990; Zbl 0974.78545) Full Text: MNR
Graur, I. A.; Elizarova, T. G.; Chetverushkin, B. N. Numerical simulation of turbulent flow about a forward-facing step. (Russian. English summary) Zbl 0974.76548 Mat. Model. 2, No. 11, 31-44 (1990). MSC: 76M20 76F50 76N15 PDFBibTeX XMLCite \textit{I. A. Graur} et al., Mat. Model. 2, No. 11, 31--44 (1990; Zbl 0974.76548) Full Text: MNR
Bochkov, M. V.; Makhviladze, T. M.; Pekarchuk, S. B.; Chetverushkin, B. N. Numerical modelling of etching of polymers in an oxygen-containing atmosphere. (Russian) Zbl 0969.76603 Mat. Model. 1, No. 2, 1-13 (1989). MSC: 76V05 76R50 76M20 PDFBibTeX XMLCite \textit{M. V. Bochkov} et al., Mat. Model. 1, No. 2, 1--13 (1989; Zbl 0969.76603) Full Text: MNR
Biryukova, L. Yu.; Nikolaeva, V. A.; Ryzhij, V. I.; Chetverushkin, B. N. Quasihydrodynamical algorithms for the calculation of processes in electron plasma in submicron semiconductor structures. (Russian) Zbl 0972.78532 Mat. Model. 1, No. 5, 11-22 (1989). MSC: 78M20 82D37 82D10 PDFBibTeX XMLCite \textit{L. Yu. Biryukova} et al., Mat. Model. 1, No. 5, 11--22 (1989; Zbl 0972.78532) Full Text: MNR
Antonov, A. N.; Elizarova, T. G.; Pavlov, A. N.; Chetverushkin, B. N. Mathematical modelling of oscillating regimes for flows around a spike-tipped body. (Russian) Zbl 0974.76541 Mat. Model. 1, No. 1, 13-23 (1989). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{A. N. Antonov} et al., Mat. Model. 1, No. 1, 13--23 (1989; Zbl 0974.76541) Full Text: MNR
Elizarova, T. G.; Chetverushkin, B. N. Kinetically coordinated difference schemes for modelling flows of a viscous heat-conducting gas. (English. Russian original) Zbl 0702.76084 U.S.S.R. Comput. Math. Math. Phys. 28, No. 6, 64-75 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 11, 1695-1710 (1988). MSC: 76N15 76M20 PDFBibTeX XMLCite \textit{T. G. Elizarova} and \textit{B. N. Chetverushkin}, U.S.S.R. Comput. Math. Math. Phys. 28, No. 6, 64--75 (1988; Zbl 0702.76084); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 11, 1695--1710 (1988) Full Text: DOI
Rusanov, V. V.; Chetverushkin, B. N. A structural model of a class of numerical algorithms. (Russian) Zbl 0589.65049 Kibern. Vychisl. Tekh., Mosk. 1, 118-126 (1985). Reviewer: O.Vaarmann MSC: 65J10 68Q25 PDFBibTeX XMLCite \textit{V. V. Rusanov} and \textit{B. N. Chetverushkin}, Kibern. Vychisl. Tekh., Mosk. 1, 118--126 (1985; Zbl 0589.65049)
Chetverushkin, B. N. Solution of two-dimensional problems of the dynamics of radiating gas. (Russian) Zbl 0557.76080 Current problems of mathematical physics and of numerical mathematics, Collect. Artic., Moskva 1982, 321-332 (1982). MSC: 76N15 80A20 76M20 85A25 PDFBibTeX XML
Volchinskaya, M. I.; Chetverushkin, B. N. The solution of two-dimensional non-stationary problems of radiation gas dynamics. (English) Zbl 0503.76101 U.S.S.R. Comput. Math. Math. Phys. 19, No. 5, 176-189 (1980). MSC: 76N15 76M20 35Q99 85A25 PDFBibTeX XMLCite \textit{M. I. Volchinskaya} and \textit{B. N. Chetverushkin}, U.S.S.R. Comput. Math. Math. Phys. 19, No. 5, 176--189 (1980; Zbl 0503.76101) Full Text: DOI
Volchinskaya, M. I.; Chetverushkin, B. N. On the solution of two-dimensional non-stationary problems of radiative gas dynamics. (Die Lösung zweidimensionaler instationärer Probleme der Strahlungs- Gasdynamik.) (Russian) Zbl 0436.76064 Zh. Vychisl. Mat. Mat. Fiz. 19, 1262-1275 (1979). Reviewer: I. Pop MSC: 76N15 76M20 35Q99 85A25 PDFBibTeX XMLCite \textit{M. I. Volchinskaya} and \textit{B. N. Chetverushkin}, Zh. Vychisl. Mat. Mat. Fiz. 19, 1262--1275 (1979; Zbl 0436.76064)
Volchinskaya, M. I.; Chetverushkin, B. N. An iterative method of solving the two-dimensional equations of radiative diffusion. (English) Zbl 0382.76074 U.S.S.R. Comput. Math. Math. Phys. 17(1977), No. 2, 135-144 (1978). MSC: 76M20 80M20 76R99 80A20 PDFBibTeX XMLCite \textit{M. I. Volchinskaya} and \textit{B. N. Chetverushkin}, U.S.S.R. Comput. Math. Math. Phys. 17, No. 2, 135--144 (1978; Zbl 0382.76074) Full Text: DOI
Volchinskaya, M. I.; Chetverushkin, B. N. On an iterative method of solving the two-dimensional equations of radiative diffusion. (Über eine Iterationsmethode zur Lösung zweidimensionaler Gleichungen der Strahlungsdiffusion.) (Russian) Zbl 0362.76146 Zh. Vychisl. Mat. Mat. Fiz. 17, 428-436 (1977). MSC: 76M20 80M20 76R99 80A20 PDFBibTeX XMLCite \textit{M. I. Volchinskaya} and \textit{B. N. Chetverushkin}, Zh. Vychisl. Mat. Mat. Fiz. 17, 428--436 (1977; Zbl 0362.76146)
Kulikov, Yu. N.; Chetverushkin, B. N. An implicit difference method for temperature determination in problems of radiation gas dynamics. (English. Russian original) Zbl 0344.76055 U.S.S.R. Comput. Math. Math. Phys. 13(1973), No. 1, 174-186 (1974); translation from Zh. Vychisl. Mat. Mat. Fiz. 13, 136-146 (1973). Reviewer: F. T. Sun MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{Yu. N. Kulikov} and \textit{B. N. Chetverushkin}, U.S.S.R. Comput. Math. Math. Phys. 13, No. 1, 174--186 (1974; Zbl 0344.76055); translation from Zh. Vychisl. Mat. Mat. Fiz. 13, 136--146 (1973) Full Text: DOI