Martynenko Sergei Ivanovich

Publications in Math-Net.Ru

1. Formulation of phenomenological laws of gradient type in problems of computational macromechanics
   
   Izv. IMI UdGU, 66 (2025),  70–86
2. Mathematical modeling of anisotropic physical and chemical processes
   
   Mat. Model., 37:3 (2025),  190–200
3. Modeling of heat and mass transfer in the discontinuum approximation
   
   Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:1 (2024),  137–164
4. Ignition and combustion of synthetic high molecular hydrocarbons in high enthalpy airflow
   
   Fizika Goreniya i Vzryva, 59:4 (2023),  35–43
5. Application of robust multigrid technique for parallel solution of the initial-boundary problems
   
   Mat. Model., 34:5 (2022),  73–87
6. Numerical solving of boundary value problems on multiblock grids
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021),  1403–1415
7. On the approximation error in the problems of conjugate convective heat transfer
   
   Num. Meth. Prog., 20:4 (2019),  438–443
8. On optimization of technical devices based on a hierarchy of mathematical models
   
   Num. Meth. Prog., 20:4 (2019),  411–427
9. Numerical methods for black box software
   
   Num. Meth. Prog., 20:2 (2019),  147–169
10. Parallel multigrid technique: reduction to independent problems
    
    Mat. Model., 28:6 (2016),  89–97
11. 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
12. Parallel multigrid algorithms
    
    Mat. Mod. Chisl. Met., 2015, no. 6,  105–120
13. On the proving of convergence of multigrid methods
    
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:4 (2012),  5–16
14. About convergence of the robust multigrid technique
    
    Mat. Model., 22:10 (2010),  18–34
15. Remarks on pressure computation at solving Navier–Stokes equations
    
    Mat. Model., 22:3 (2010),  105–119
16. Robust multigrid technique
    
    Mat. Model., 21:9 (2009),  66–79
17. Formalization of Computations at Numerical Solution of Boundary Value Problems
    
    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 150:1 (2008),  76–90
18. Adaptation of Navier–Stokes equations to the robust multigrid technique
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3,  75–80
19. 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
20. Parallelization of robust multigrid technique
    
    Num. Meth. Prog., 4:1 (2003),  45–51
21. Software for robust multigrid technique
    
    Mat. Model., 14:9 (2002),  87–90
22. The package of application programs for the robust multigrid technique: building blocks and diagnostic tools
    
    Num. Meth. Prog., 2:4 (2001),  1–6
23. A robust multigrid technique for solving systems of partial differential equations
    
    Num. Meth. Prog., 2:1 (2001),  1–11
24. Robust multigrid technique for solving partial differential equations on structured grids
    
    Num. Meth. Prog., 1:1 (2000),  83–102