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Martynenko, Sergei Ivanovich
Senior Researcher
Candidate of physico-mathematical sciences
E-mail: , ;

https://www.mathnet.ru/eng/person31787
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2025
1. S. I. Martynenko, A. Antonik, V. A. Varaksina, N. S. Zub, A. A. Mochalov, “Formulation of phenomenological laws of gradient type in problems of computational macromechanics”, Izv. IMI UdGU, 66 (2025),  70–86  mathnet
2. S. I. Martynenko, “Mathematical modeling of anisotropic physical and chemical processes”, Mat. Model., 37:3 (2025),  190–200  mathnet
2024
3. 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  mathnet 1
2023
4. 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  mathnet  elib; Combustion, Explosion and Shock Waves, 59:4 (2023), 424–431 1
2022
5. 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”, Mat. Model., 34:5 (2022),  73–87  mathnet  mathscinet; Math. Models Comput. Simul., 14:6 (2022), 1002–1010
2021
6. S. I. Martynenko, “Numerical solving of boundary value problems on multiblock grids”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021),  1403–1415  mathnet  elib; Comput. Math. Math. Phys., 61:9 (2021), 1375–1386  isi  scopus
2019
7. S. I. Martynenko, “On the approximation error in the problems of conjugate convective heat transfer”, Num. Meth. Prog., 20:4 (2019),  438–443  mathnet
8. 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  mathnet
9. S. I. Martynenko, “Numerical methods for black box software”, Num. Meth. Prog., 20:2 (2019),  147–169  mathnet  elib
2016
10. S. I. Martynenko, V. M. Volokhov, L. S. Yanovskiy, “Parallel multigrid technique: reduction to independent problems”, Mat. Model., 28:6 (2016),  89–97  mathnet  elib; Math. Models Comput. Simul., 9:1 (2017), 120–126  scopus
11. 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  mathnet
2015
12. S. I. Martynenko, “Parallel multigrid algorithms”, Mat. Mod. Chisl. Met., 2015, no. 6,  105–120  mathnet 2
2012
13. S. I. Martynenko, “On the proving of convergence of multigrid methods”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:4 (2012),  5–16  mathnet
2010
14. S. I. Martynenko, “About convergence of the robust multigrid technique”, Mat. Model., 22:10 (2010),  18–34  mathnet  mathscinet; Math. Models Comput. Simul., 3:3 (2011), 333–345  scopus 2
15. S. I. Martynenko, “Remarks on pressure computation at solving Navier–Stokes equations”, Mat. Model., 22:3 (2010),  105–119  mathnet  zmath; Math. Models Comput. Simul., 2:5 (2010), 658–668  scopus 1
2009
16. S. I. Martynenko, “Robust multigrid technique”, Mat. Model., 21:9 (2009),  66–79  mathnet  mathscinet  zmath; Math. Models Comput. Simul., 2:2 (2010), 232–244  scopus 6
2008
17. 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  mathnet  zmath 2
18. 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  mathnet
2007
19. 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  mathnet
2003
20. S. I. Martynenko, “Parallelization of robust multigrid technique”, Num. Meth. Prog., 4:1 (2003),  45–51  mathnet 4
2002
21. S. I. Martynenko, “Software for robust multigrid technique”, Mat. Model., 14:9 (2002),  87–90  mathnet  zmath 1
2001
22. 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  mathnet
23. S. I. Martynenko, “A robust multigrid technique for solving systems of partial differential equations”, Num. Meth. Prog., 2:1 (2001),  1–11  mathnet 1
2000
24. S. I. Martynenko, “Robust multigrid technique for solving partial differential equations on structured grids”, Num. Meth. Prog., 1:1 (2000),  83–102  mathnet 4

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