Malykh Mikhail Dmitrievich

Publications in Math-Net.Ru

1. On calculation of asymptotic series in computer algebra systems
   
   Zap. Nauchn. Sem. POMI, 543 (2025),  82–91
2. On periodic approximate solutions of ordinary differential equations
   
   Zap. Nauchn. Sem. POMI, 543 (2025),  68–81
3. Reversible differential schemes for elliptical oscillators
   
   Zap. Nauchn. Sem. POMI, 528 (2023),  54–78
4. Analytical study of cubature formulas on a sphere in computer algebra systems
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:1 (2023),  93–101
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 differential approximations of difference schemes
   
   Izv. Saratov Univ. Math. Mech. Inform., 21:4 (2021),  472–488
8. On periodic approximate solutions of dynamical systems with a quadratic right-hand side
   
   Zap. Nauchn. Sem. POMI, 507 (2021),  157–172
9. On calculation of an automorphism group of a hyperelliptic curve
   
   Zap. Nauchn. Sem. POMI, 485 (2019),  140–154
10. 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
11. Differential schemes for the ordinary differential equations defining a projective correspondence between layers
    
    Zap. Nauchn. Sem. POMI, 468 (2018),  202–220
12. On the transcendental functions connected with integration of differential equations in finite terms
    
    Zap. Nauchn. Sem. POMI, 432 (2015),  196–223
13. On a class of nonlocal parabolic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1056–1063
14. Two-sided estimates for the eigenvalues of the Laplace operator with Dirichlet boundary conditions and their application to problems in the mathematical theory of waveguides
    
    Num. Meth. Prog., 10:1 (2009),  83–93
15. The existence of a generalized fourier transform for a solution as a radiation condition for a class of problems generalizing oscillation excitation problems in regular waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009),  293–300
16. On the emptiness criteria for the discrete spectrum of the Dirichlet problem for the equation $\Delta v+\lambda v=0$
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009),  288–292
17. Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006),  2228–2234
18. Time asymptotics of a field excited in a waveguide by a harmonic current
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005),  2219–2231
19. On the perturbation theory of spectral characteristics of waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:7 (2003),  1049–1061
20. Remark on radiation conditions for an irregular waveguide
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003),  585–588
21. On an example of trapped modes in an irregular waveguide
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:1 (2003),  127–132
22. Resonance in a waveguide with an inhomogeneous filling
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:12 (2002),  1816–1830
23. On the root vectors of a cylindrical waveguide
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:1 (2001),  126–129