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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
S. I. Martynenko, “Modeling of heat and mass transfer in the discontinuum approximation”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:1 (2024), 137–164  |
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2023 |
| 2. |
L. S. Yanovskii, A. Yu. Varaksin, K. J. Arefyev, V. M. Ezhov, S. I. Martynenko, N. A. Chervonnaya, “Ignition and combustion of synthetic high molecular hydrocarbons in high enthalpy airflow”, Fizika Goreniya i Vzryva, 59:4 (2023), 35–43  ; Combustion, Explosion and Shock Waves, 59:4 (2023), 424–431 |
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2022 |
| 3. |
S. I. Martynenko, I. Gökalp, V. A. Bakhtin, M. Karaca, P. D. Toktaliev, P. A. Semenev, “Application of robust multigrid technique for parallel solution of the initial-boundary problems”, Matem. Mod., 34:5 (2022), 73–87  |
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2021 |
| 4. |
S. I. Martynenko, “Numerical solving of boundary value problems on multiblock grids”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021), 1403–1415 ; Comput. Math. Math. Phys., 61:9 (2021), 1375–1386   |
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2019 |
| 5. |
S. I. Martynenko, “On the approximation error in the problems of conjugate convective heat transfer”, Num. Meth. Prog., 20:4 (2019), 438–443 |
| 6. |
A. S. Surovezhko, S. I. Martynenko, “On optimization of technical devices based on a hierarchy of mathematical models”, Num. Meth. Prog., 20:4 (2019), 411–427 |
| 7. |
S. I. Martynenko, “Numerical methods for black box software”, Num. Meth. Prog., 20:2 (2019), 147–169 |
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2016 |
| 8. |
S. I. Martynenko, V. M. Volokhov, L. S. Yanovskiy, “Parallel multigrid technique: reduction to independent problems”, Matem. Mod., 28:6 (2016), 89–97 ; Math. Models Comput. Simul., 9:1 (2017), 120–126 |
| 9. |
V. M. Volokhov, S. I. Martynenko, P. D. Toktaliev, L. S. Yanovskii, A. V. Volokhov, “New approaches to the development of highly efficient parallel algorithms for numerical solution of boundary value problems on structured grids”, Num. Meth. Prog., 17:1 (2016), 72–80 |
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2015 |
| 10. |
S. I. Martynenko, “Parallel multigrid algorithms”, Mat. Mod. Chisl. Met., 2015, no. 6, 105–120 |
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2012 |
| 11. |
S. I. Martynenko, “On the proving of convergence of multigrid methods”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:4 (2012), 5–16 |
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2010 |
| 12. |
S. I. Martynenko, “About convergence of the robust multigrid technique”, Matem. Mod., 22:10 (2010), 18–34 ; Math. Models Comput. Simul., 3:3 (2011), 333–345 |
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| 13. |
S. I. Martynenko, “Remarks on pressure computation at solving Navier–Stokes equations”, Matem. Mod., 22:3 (2010), 105–119  ; Math. Models Comput. Simul., 2:5 (2010), 658–668 |
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2009 |
| 14. |
S. I. Martynenko, “Robust multigrid technique”, Matem. Mod., 21:9 (2009), 66–79 ; Math. Models Comput. Simul., 2:2 (2010), 232–244 |
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2008 |
| 15. |
S. I. Martynenko, “Formalization of Computations at Numerical Solution of Boundary Value Problems”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 150:1 (2008), 76–90 |
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| 16. |
S. I. Martynenko, “Adaptation of Navier–Stokes equations to the robust multigrid technique”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3, 75–80 |
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2007 |
| 17. |
S. I. Martynenko, “Development of algorithms for solving the Navier–Stokes equations in “velocity–pressure” variables”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 149:4 (2007), 105–120 |
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2003 |
| 18. |
S. I. Martynenko, “Parallelization of robust multigrid technique”, Num. Meth. Prog., 4:1 (2003), 45–51 |
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2002 |
| 19. |
S. I. Martynenko, “Software for robust multigrid technique”, Matem. Mod., 14:9 (2002), 87–90 |
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2001 |
| 20. |
S. I. Martynenko, “The package of application programs for the robust multigrid technique: building blocks and diagnostic tools”, Num. Meth. Prog., 2:4 (2001), 1–6 |
| 21. |
S. I. Martynenko, “A robust multigrid technique for solving systems of partial differential equations”, Num. Meth. Prog., 2:1 (2001), 1–11 |
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2000 |
| 22. |
S. I. Martynenko, “Robust multigrid technique for solving partial differential equations on structured grids”, Num. Meth. Prog., 1:1 (2000), 83–102 |
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