Volkov Vasilii Mikhailovich

Publications in Math-Net.Ru

1. Chebyshev spectral method for one class of singular integro-differential equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:2 (2025),  162–171
2. An iterative Chebyshev spectral solver for two-dimensional elliptic equations with variable coefficients
   
   Journal of the Belarusian State University. Mathematics and Informatics, 3 (2023),  53–62
3. Iterative realization of finite difference schemes in the fictitious domain method for elliptic problems with mixed derivatives
   
   Journal of the Belarusian State University. Mathematics and Informatics, 1 (2019),  69–76
4. Chebyshev spectral method for numerical simulations of counter-propagating optical waves interaction in nonlinear media
   
   Journal of the Belarusian State University. Mathematics and Informatics, 3 (2018),  75–81
5. Spectrum superbroadening in self-focusing of pulsed vortex beams in air
   
   Kvantovaya Elektronika, 43:2 (2013),  157–161
6. About numerical simulation of oil extraction process
   
   Mat. Model., 23:1 (2011),  19–28
7. On the Numerical Error of Vector-Additive Iterative Methods
   
   Differ. Uravn., 41:7 (2005),  990–993
8. The Paraxial Approximation to the Wave Equation in Curvilinear Coordinates for Numerical Simulation of Optical Beam Diffraction
   
   Differ. Uravn., 39:7 (2003),  904–911
9. On the spectral–spatial instability of a light wave in a medium with cubic nonlinearity
   
   Kvantovaya Elektronika, 33:11 (2003),  987–988
10. Specific Features of the Numerical Solution of Problems for a Generalized Nonlinear Schrödinger Equation
    
    Differ. Uravn., 37:7 (2001),  913–916
11. Conservativity, accuracy, and asymptotic properties of numerical methods for nonlinear Schrödinger type equations
    
    Differ. Uravn., 36:7 (2000),  930–938
12. The formation dynamics of a shock wave of the ultrashort pulse envelope in a medium with relaxing cubic nonlinearity
    
    Kvantovaya Elektronika, 30:11 (2000),  1002–1004
13. On a class of difference methods for solving Navier–Stokes equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 5,  3–11
14. Kinetics of a distributed-feedback laser with a static grating operating in the travelling pump-wave regime
    
    Kvantovaya Elektronika, 29:2 (1999),  123–126
15. Multicomponent iterative methods of decomposition type for two-dimensional stationary problems of dissipative transfer
    
    Differ. Uravn., 33:7 (1997),  927–933
16. Spectrum of the transverse modes of a laser with static distributed feedback by a phase grating
    
    Kvantovaya Elektronika, 24:6 (1997),  528–530
17. Spectral-threshold characteristics of an active distributed-feedback structure with a linearly chirped period
    
    Kvantovaya Elektronika, 24:1 (1997),  31–32
18. On an adaptive iterative method for realizing implicit difference schemes for the nonlinear multidimensional Schrödinger equation
    
    Differ. Uravn., 32:7 (1996),  928–934
19. Numerical modeling and some other analytic aspects of the vortex dynamics of light fields in laser systems
    
    Differ. Uravn., 31:7 (1995),  1184–1192
20. Efficient methods for solving first-order hyperbolic systems
    
    Differ. Uravn., 30:7 (1994),  1187–1193
21. Conservative difference schemes with improved dispersion properties for nonlinear equations of Schrödinger type
    
    Differ. Uravn., 29:7 (1993),  1156–1162
22. Complex propagation regimes of soliton-like light pulses in birefringent optical fibers
    
    Kvantovaya Elektronika, 20:7 (1993),  725–728


23. Vyacheslav Nikolaevich Abrashin
    
    Differ. Uravn., 41:4 (2005),  561–569
24. Errata to the article: Complex propagation regimes of soliton-like light pulses in birefringent optical fibers
    
    Kvantovaya Elektronika, 20:9 (1993),  936