Sevastyanov Leonid Antonovich

Publications in Math-Net.Ru

1. On periodic approximate solutions of ordinary differential equations
   
   Zap. Nauchn. Sem. POMI, 543 (2025),  68–81
2. Numerical solution of first-order exact differential equations by the integrating factor method
   
   Izv. Saratov Univ. Math. Mech. Inform., 24:4 (2024),  512–525
3. A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method
   
   Izv. Saratov Univ. Math. Mech. Inform., 23:1 (2023),  36–47
4. Reversible differential schemes for elliptical oscillators
   
   Zap. Nauchn. Sem. POMI, 528 (2023),  54–78
5. On the trajectories of dynamical systems with quadratic right sides, calculated by reversible difference schemes
   
   Zap. Nauchn. Sem. POMI, 517 (2022),  17–35
6. On normal modes of a waveguide
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022),  403–420
7. On transfer learning methods in biomedical images classification tasks
   
   Inform. Primen., 15:4 (2021),  59–64
8. On differential approximations of difference schemes
   
   Izv. Saratov Univ. Math. Mech. Inform., 21:4 (2021),  472–488
9. On periodic approximate solutions of dynamical systems with a quadratic right-hand side
   
   Zap. Nauchn. Sem. POMI, 507 (2021),  157–172
10. On methods for improving the accuracy of multiclass classification on imbalanced data
    
    Inform. Primen., 14:1 (2020),  63–70
11. Skin lesion classification using deep learning methods
    
    Mat. Biolog. Bioinform., 15:2 (2020),  180–194
12. Properties of nematic LC planar and smoothly-irregular waveguide structures: research in the experiment and using computer modeling
    
    Computer Optics, 43:6 (2019),  976–982
13. On calculation of an automorphism group of a hyperelliptic curve
    
    Zap. Nauchn. Sem. POMI, 485 (2019),  140–154
14. On the representation of electromagnetic fields in discontinuously filled closed waveguides by means of continuous potentials
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019),  342–354
15. Differential schemes for the ordinary differential equations defining a projective correspondence between layers
    
    Zap. Nauchn. Sem. POMI, 468 (2018),  202–220
16. Application of functional integrals to stochastic equations
    
    Mat. Model., 28:11 (2016),  113–125
17. Analytical calculations of derivation partial differential equations for coefficient Kantorovich functions
    
    Mat. Model., 27:7 (2015),  103–110
18. Application of incomplete Galerkin method to irregular junction in open planar waveguides
    
    Mat. Model., 27:7 (2015),  44–50
19. Stable computer modeling of thin-film generalized waveguide Luneburg lens
    
    Mat. Model., 26:11 (2014),  37–44
20. Method of adiabatic modes in research of smoothly irregular integrated optical waveguides: zero approximation
    
    Kvantovaya Elektronika, 44:2 (2014),  167–173
21. Application of adiabatic modes method for calculation and design of thin-film waveguide generalized Luneburg lens
    
    Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, no. 3,  35–45
22. Zero approximation of vector model for smoothly-irregular optical waveguide
    
    Mat. Model., 22:8 (2010),  42–54
23. Simulation of guided modes (eigenmodes) and synthesis of a thin-film generalised waveguide Luneburg lens in the zero-order vector approximation
    
    Kvantovaya Elektronika, 40:9 (2010),  830–836
24. Дифракция света на анизотропных покрытиях
    
    Matem. Mod. Kraev. Zadachi, 4 (2009),  22–25
25. Structure of modes of a smoothly irregular integrated-optical four-layer three-dimensional waveguide
    
    Kvantovaya Elektronika, 39:6 (2009),  566–574
26. Properties of integral operators of the mathematical model for shadowed sputtering
    
    Mat. Model., 10:10 (1998),  3–7
27. Macroparameters of an effective distribution and of a sourse function in the mathematical model of shadowed sputtering
    
    Mat. Model., 10:9 (1998),  35–40
28. The mathematical model of shadowed sputtering
    
    Mat. Model., 10:4 (1998),  13–22
29. Shadowing effects for noninteracting corpuscular fluxes
    
    Mat. Model., 10:4 (1998),  3–12


30. On the conference “Computational physics and mathematical modeling”
    
    Mat. Model., 2:3 (1990),  155–156
31. Computational physics and mathematical modelling
    
    Mat. Model., 1:3 (1989),  152–153