Belov Aleksandr Aleksandrovich

Publications in Math-Net.Ru

1. Superfast finite-difference algorithms for solving the fredholm equations of the 1$^{\mathrm{st}}$ and the 2$^{\mathrm{nd}}$ kind
   
   Mat. Model., 38:1 (2026),  155–173
2. Cubatures with super-power convergence law
   
   Mat. Model., 37:2 (2025),  128–144
3. Difference schemes based on exponentially converging quadratures for the Cauchy integral
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:9 (2025),  1469–1478
4. Exact solution of a bicompact difference scheme for Maxwell’s equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:2 (2025),  193–202
5. Exact solution of the problem of the interaction between a point charge and an insulator with nonlinear susceptibility
   
   TMF, 220:3 (2024),  578–590
6. Generalization of the method of scattering matrices to problems in nonlinear dispersion media
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1217–1232
7. Improving the accuracy of exponentially converging quadratures
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:1 (2024),  7–16
8. Multidimensional cubatures with super-power convergence
   
   Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  107–111
9. The method of optical paths for the numerical solution of integrated photonics problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023),  1040–1058
10. Testing bicompact schemes for the one-dimensional Maxwell equations in stratified media
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:9 (2022),  1532–1550
11. Highly accurate methods for solving one-dimensional Maxwell equations in stratified media
    
    Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  90–104
12. Multidimensional cubatures on Sobol sequences
    
    Keldysh Institute preprints, 2021, 008, 24 pp.
13. Bicompact finite-difference scheme for Maxwell’s equations in layered media
    
    Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020),  15–19
14. Reciprocal function method for Cauchy problems with first-order poles
    
    Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020),  102–106
15. Accuracy control in stiff system integration
    
    Keldysh Institute preprints, 2020, 088, 27 pp.
16. Numerical integration of Cauchy problems with singularity points
    
    Keldysh Institute preprints, 2020, 076, 36 pp.
17. Improved error estimates for an exponentially convergent quadratures
    
    Keldysh Institute preprints, 2020, 075, 24 pp.
18. Superfast calculation method of multicomponent plasma composition and thermodynamics
    
    Mat. Model., 32:12 (2020),  95–102
19. Unreliability of available pseudorandom number generators
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020),  1807–1814
20. Method for experimental data processing concerning chemical reaction rates in low-atomic gases
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:7 (2020),  1239–1247
21. Comparative analysis of automatic step selection algorithms for stiff Cauchy problems
    
    Keldysh Institute preprints, 2019, 146, 34 pp.
22. Numerical solution error of stiff Cauchy problems on geometrically adaptive meshes
    
    Keldysh Institute preprints, 2019, 138, 23 pp.
23. Visual verification of pseudo-random number generators
    
    Keldysh Institute preprints, 2019, 137, 28 pp.
24. Refined approximations of cross sections and reactivities significant for controlled thermonuclear fusion
    
    Keldysh Institute preprints, 2019, 122, 28 pp.
25. Numerical solution of the Cauchy problem with singularities
    
    Keldysh Institute preprints, 2019, 121, 16 pp.
26. Quasi-independent particles model for heterogeneous plasma microfield
    
    Keldysh Institute preprints, 2019, 093, 28 pp.
27. Reactivities of the reactions important for controlled fusion targets
    
    Mat. Model., 31:9 (2019),  39–53
28. Solution of stiff Cauchy problems with explicit schemes with geometrical-adaptive step selection
    
    Keldysh Institute preprints, 2018, 227, 20 pp.
29. Plasma microfield heterogeneity
    
    Keldysh Institute preprints, 2018, 220, 16 pp.
30. TEFIS database. Thermodynamic functions of substances
    
    Keldysh Institute preprints, 2018, 219, 20 pp.
31. Chemical kinetics calculation using explicit schemes with geometric adaptive step selection
    
    Keldysh Institute preprints, 2018, 173, 32 pp.
32. Solution of the Fredholm equation of the first kind by mesh method with Tikhonov regularization
    
    Mat. Model., 30:8 (2018),  67–88
33. Regularization of the double period method for experimental data processing
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1771–1781
34. Numerical diagnostics of solution blowup in differential equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017),  111–121
35. Numerical methods of solving Cauchy problems with contrast structures
    
    Model. Anal. Inform. Sist., 23:5 (2016),  529–538
36. Mesh step selection based on curvature for stiff Cauchy problems
    
    Mat. Model., 28:11 (2016),  97–112
37. Features of contrast structure calculation in Cauchy problems
    
    Mat. Model., 28:10 (2016),  97–109
38. Chemical kinetics simulation in gases
    
    Mat. Model., 28:8 (2016),  46–64
39. Nonlinearity difficulty in numerical solving of superstiff Cauchy problems
    
    Mat. Model., 28:4 (2016),  16–32
40. GACK package for chemical kinetics calculation with guaranteed accuracy
    
    Keldysh Institute preprints, 2015, 071, 12 pp.
41. SuFaReC programs for superfast elliptic problems solving in rectangular domain
    
    Keldysh Institute preprints, 2015, 044, 12 pp.
42. Numerical simulations of boundary layer problems
    
    Mat. Model., 27:11 (2015),  47–55
43. Comparison of highly stable forms of iterative conjugate directions methods
    
    Mat. Model., 27:9 (2015),  110–136
44. Superfast method with guaranteed accuracy for elliptic equations in rectangular domain
    
    Mat. Model., 27:7 (2015),  37–43
45. Evolutional factorization and superfast relaxation count
    
    Mat. Model., 26:9 (2014),  47–64
46. Numerical-analytic investigation of the dynamics of viscoelastic and porous elastic bodies
    
    Prikl. Mekh. Tekh. Fiz., 55:1 (2014),  108–114
47. Evolutional factorization and superfast relaxation count
    
    Keldysh Institute preprints, 2013, 069, 36 pp.
48. On the coefficients of the Euler–Macloren formulae for numerical integration
    
    Mat. Model., 25:6 (2013),  72–79
49. Distributed on-board computer system prototype
    
    Keldysh Institute preprints, 2004, 025, 22 pp.
50. The software for the distributed on-board computer system prototype
    
    Keldysh Institute preprints, 2004, 014, 25 pp.
51. The russian small satellite for hyperspectral monitoring of gas pipelines
    
    Keldysh Institute preprints, 2003, 017, 14 pp.
52. The russian small satellite for hyperspectral monitoring of gas pipelines
    
    Keldysh Institute preprints, 2003, 012, 14 pp.