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Belov, Aleksandr Aleksandrovich
Professor
Doctor of physico-mathematical sciences (1994)
Speciality: 01.04.03 (Radio physics)
Birth date: 6.05.1939
E-mail: ,
Website: http://osc.phys.msu.ru/index.php/Белов_Александр_Александрович

https://www.mathnet.ru/eng/person81174
List of publications on Google Scholar
https://elibrary.ru/author_items.asp?authorid=896332
ISTINA https://istina.msu.ru/workers/437850
https://orcid.org/0000-0002-0918-9263
https://www.webofscience.com/wos/author/record/Q-5064-2016
https://www.scopus.com/authid/detail.url?authorId=57191950560

Publications in Math-Net.Ru Citations
2025
1. A. A. Belov, M. A. Tintul, “Cubatures with super-power convergence law”, Mat. Model., 37:2 (2025),  128–144  mathnet
2. A. A. Belov, V. S. Khokhlachev, Zh. O. Dombrovskaya, “Difference schemes based on exponentially converging quadratures for the Cauchy integral”, Zh. Vychisl. Mat. Mat. Fiz., 65:9 (2025),  1469–1478  mathnet  elib; Comput. Math. Math. Phys., 65:9 (2025), 2053–2062
3. A. A. Belov, Zh. O. Dombrovskaya, “Exact solution of a bicompact difference scheme for Maxwell’s equations”, Zh. Vychisl. Mat. Mat. Fiz., 65:2 (2025),  193–202  mathnet  elib; Comput. Math. Math. Phys., 65:2 (2025), 372–382
2024
4. A. A. Belov, M. A. Tintul, P. A. Polyakov, “Exact solution of the problem of the interaction between a point charge and an insulator with nonlinear susceptibility”, TMF, 220:3 (2024),  578–590  mathnet  mathscinet; Theoret. and Math. Phys., 220:3 (2024), 1556–1566  scopus
5. A. A. Belov, Zh. O. Dombrovskaya, “Generalization of the method of scattering matrices to problems in nonlinear dispersion media”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1217–1232  mathnet  elib; Comput. Math. Math. Phys., 64:7 (2024), 1491–1503
6. A. A. Belov, V. S. Khokhlachev, “Improving the accuracy of exponentially converging quadratures”, Zh. Vychisl. Mat. Mat. Fiz., 64:1 (2024),  7–16  mathnet  elib; Comput. Math. Math. Phys., 64:1 (2024), 1–10 2
2023
7. A. A. Belov, M. A. Tintul, “Multidimensional cubatures with super-power convergence”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  107–111  mathnet  elib; Dokl. Math., 108:3 (2023), 514–518
8. A. A. Belov, Zh. O. Dombrovskaya, “The method of optical paths for the numerical solution of integrated photonics problems”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023),  1040–1058  mathnet  elib; Comput. Math. Math. Phys., 63:6 (2023), 1137–1154
2022
9. A. A. Belov, Zh. O. Dombrovskaya, “Testing bicompact schemes for the one-dimensional Maxwell equations in stratified media”, Zh. Vychisl. Mat. Mat. Fiz., 62:9 (2022),  1532–1550  mathnet  elib; Comput. Math. Math. Phys., 62:9 (2022), 1496–1514 4
10. A. A. Belov, Zh. O. Dombrovskaya, “Highly accurate methods for solving one-dimensional Maxwell equations in stratified media”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  90–104  mathnet  elib; Comput. Math. Math. Phys., 62:1 (2022), 84–97  isi  scopus 7
2021
11. A. A. Belov, N. N. Kalitkin, M. A. Tintul, “Multidimensional cubatures on Sobol sequences”, Keldysh Institute preprints, 2021, 008, 24 pp.  mathnet 1
2020
12. A. A. Belov, Zh. O. Dombrovskaya, “Bicompact finite-difference scheme for Maxwell’s equations in layered media”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020),  15–19  mathnet  zmath  elib; Dokl. Math., 101:3 (2020), 185–188 10
13. A. A. Belov, N. N. Kalitkin, “Reciprocal function method for Cauchy problems with first-order poles”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020),  102–106  mathnet  zmath  elib; Dokl. Math., 101:2 (2020), 165–168 1
14. A. A. Belov, A. S. Vergazov, N. N. Kalitkin, “Accuracy control in stiff system integration”, Keldysh Institute preprints, 2020, 088, 27 pp.  mathnet  elib
15. A. A. Belov, N. N. Kalitkin, “Numerical integration of Cauchy problems with singularity points”, Keldysh Institute preprints, 2020, 076, 36 pp.  mathnet
16. A. A. Belov, N. N. Kalitkin, V. S. Khokhlachev, “Improved error estimates for an exponentially convergent quadratures”, Keldysh Institute preprints, 2020, 075, 24 pp.  mathnet 1
17. A. A. Belov, V. S. Dimakov, I. A. Kozlitin, “Superfast calculation method of multicomponent plasma composition and thermodynamics”, Mat. Model., 32:12 (2020),  95–102  mathnet; Math. Models Comput. Simul., 13:4 (2021), 692–697
18. A. A. Belov, N. N. Kalitkin, M. A. Tintul, “Unreliability of available pseudorandom number generators”, Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020),  1807–1814  mathnet  elib; Comput. Math. Math. Phys., 60:11 (2020), 1747–1753  isi  scopus 4
19. A. A. Belov, N. N. Kalitkin, “Method for experimental data processing concerning chemical reaction rates in low-atomic gases”, Zh. Vychisl. Mat. Mat. Fiz., 60:7 (2020),  1239–1247  mathnet  elib; Comput. Math. Math. Phys., 60:7 (2020), 1199–1207  isi  scopus 2
2019
20. A. A. Belov, P. E. Bulatov, N. N. Kalitkin, “Comparative analysis of automatic step selection algorithms for stiff Cauchy problems”, Keldysh Institute preprints, 2019, 146, 34 pp.  mathnet 2
21. A. A. Belov, A. S. Vergazov, N. N. Kalitkin, “Numerical solution error of stiff Cauchy problems on geometrically adaptive meshes”, Keldysh Institute preprints, 2019, 138, 23 pp.  mathnet
22. A. A. Belov, N. N. Kalitkin, M. A. Tintul, “Visual verification of pseudo-random number generators”, Keldysh Institute preprints, 2019, 137, 28 pp.  mathnet 2
23. A. A. Belov, N. N. Kalitkin, O. I. Topor, I. A. Fedorov, “Refined approximations of cross sections and reactivities significant for controlled thermonuclear fusion”, Keldysh Institute preprints, 2019, 122, 28 pp.  mathnet
24. A. A. Belov, O. V. Valianikov, N. N. Kalitkin, “Numerical solution of the Cauchy problem with singularities”, Keldysh Institute preprints, 2019, 121, 16 pp.  mathnet
25. A. A. Belov, N. N. Kalitkin, “Quasi-independent particles model for heterogeneous plasma microfield”, Keldysh Institute preprints, 2019, 093, 28 pp.  mathnet
26. A. A. Belov, N. N. Kalitkin, O. I. Topor, I. A. Fedorov, “Reactivities of the reactions important for controlled fusion targets”, Mat. Model., 31:9 (2019),  39–53  mathnet  elib; Math. Models Comput. Simul., 12:3 (2020), 293–301
2018
27. E. K. Zholkovskii, A. A. Belov, N. N. Kalitkin, “Solution of stiff Cauchy problems with explicit schemes with geometrical-adaptive step selection”, Keldysh Institute preprints, 2018, 227, 20 pp.  mathnet  elib 5
28. A. A. Belov, N. N. Kalitkin, I. A. Kozlitin, “Plasma microfield heterogeneity”, Keldysh Institute preprints, 2018, 220, 16 pp.  mathnet  elib
29. A. A. Belov, R. V. Golovanov, N. N. Kalitkin, I. A. Kozlitin, P. V. Koryakin, L. V. Kuzmina, “TEFIS database. Thermodynamic functions of substances”, Keldysh Institute preprints, 2018, 219, 20 pp.  mathnet  elib 2
30. P. E. Bulatov, A. A. Belov, N. N. Kalitkin, “Chemical kinetics calculation using explicit schemes with geometric adaptive step selection”, Keldysh Institute preprints, 2018, 173, 32 pp.  mathnet  elib 1
31. A. A. Belov, N. N. Kalitkin, “Solution of the Fredholm equation of the first kind by mesh method with Tikhonov regularization”, Mat. Model., 30:8 (2018),  67–88  mathnet; Math. Models Comput. Simul., 11:2 (2019), 287–300 1
2017
32. A. A. Belov, N. N. Kalitkin, “Regularization of the double period method for experimental data processing”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1771–1781  mathnet  elib; Comput. Math. Math. Phys., 57:11 (2017), 1741–1750  isi  scopus 10
33. A. A. Belov, “Numerical diagnostics of solution blowup in differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017),  111–121  mathnet  elib; Comput. Math. Math. Phys., 57:1 (2017), 122–132  isi  scopus 9
2016
34. A. A. Belov, N. N. Kalitkin, “Numerical methods of solving Cauchy problems with contrast structures”, Model. Anal. Inform. Sist., 23:5 (2016),  529–538  mathnet  mathscinet  elib 7
35. A. A. Belov, N. N. Kalitkin, “Mesh step selection based on curvature for stiff Cauchy problems”, Mat. Model., 28:11 (2016),  97–112  mathnet  elib; Math. Models Comput. Simul., 9:3 (2017), 305–317  scopus 13
36. A. A. Belov, N. N. Kalitkin, “Features of contrast structure calculation in Cauchy problems”, Mat. Model., 28:10 (2016),  97–109  mathnet  elib; Math. Models Comput. Simul., 9:3 (2017), 281–291  scopus 10
37. A. A. Belov, N. N. Kalitkin, L. V. Kuzmina, “Chemical kinetics simulation in gases”, Mat. Model., 28:8 (2016),  46–64  mathnet  elib; Math. Models Comput. Simul., 9:1 (2017), 24–39  scopus 24
38. A. A. Belov, N. N. Kalitkin, “Nonlinearity difficulty in numerical solving of superstiff Cauchy problems”, Mat. Model., 28:4 (2016),  16–32  mathnet  elib; Math. Models Comput. Simul., 8:6 (2016), 638–650  scopus 10
2015
39. A. A. Belov, “GACK package for chemical kinetics calculation with guaranteed accuracy”, Keldysh Institute preprints, 2015, 071, 12 pp.  mathnet 3
40. A. A. Belov, “SuFaReC programs for superfast elliptic problems solving in rectangular domain”, Keldysh Institute preprints, 2015, 044, 12 pp.  mathnet
41. A. A. Belov, N. N. Kalitkin, “Numerical simulations of boundary layer problems”, Mat. Model., 27:11 (2015),  47–55  mathnet  mathscinet  elib; Math. Models Comput. Simul., 8:4 (2016), 341–347 4
42. A. A. Belov, N. N. Kalitkin, L. V. Kuzmina, “Comparison of highly stable forms of iterative conjugate directions methods”, Mat. Model., 27:9 (2015),  110–136  mathnet  mathscinet  elib; Math. Models Comput. Simul., 8:2 (2016), 155–174  scopus 1
43. A. A. Belov, N. N. Kalitkin, “Superfast method with guaranteed accuracy for elliptic equations in rectangular domain”, Mat. Model., 27:7 (2015),  37–43  mathnet  mathscinet  elib
2014
44. A. A. Belov, N. N. Kalitkin, “Evolutional factorization and superfast relaxation count”, Mat. Model., 26:9 (2014),  47–64  mathnet; Math. Models Comput. Simul., 7:2 (2015), 103–116  scopus 6
45. L. A. Igumnov, A. V. Amenitskii, A. A. Belov, S. Yu. Litvinchuk, A. N. Petrov, “Numerical-analytic investigation of the dynamics of viscoelastic and porous elastic bodies”, Prikl. Mekh. Tekh. Fiz., 55:1 (2014),  108–114  mathnet  elib 7
2013
46. A. A. Belov, N. N. Kalitkin, “Evolutional factorization and superfast relaxation count”, Keldysh Institute preprints, 2013, 069, 36 pp.  mathnet 3
47. A. A. Belov, “On the coefficients of the Euler–Macloren formulae for numerical integration”, Mat. Model., 25:6 (2013),  72–79  mathnet  mathscinet; Math. Models Comput. Simul., 6:1 (2014), 32–37  scopus 3
2004
48. A. A. Belov, P. Behr, D. V. Vorontsov, B. V. Zubkov, A. A. Ilyin, A. P. Kalinin, S. Montenegro, A. M. Ovchinnikov, M. Yu. Ovchinnikov, A. G. Orlov, A. N. Ostanniy, S. Pletner, I. V. Ritus, A. I. Rodionov, I. D. Rodionov, I. P. Rodionova, E. Yu. Fedunin, “Distributed on-board computer system prototype”, Keldysh Institute preprints, 2004, 025, 22 pp.  mathnet 1
49. A. A. Belov, P. Behr, D. V. Vorontsov, B. V. Zubkov, A. A. Ilyin, S. K. Kalashnikov, A. P. Kalinin, S. Montenegro, A. M. Ovchinnikov, M. Yu. Ovchinnikov, A. G. Orlov, A. N. Ostanniy, S. Pletner, I. V. Ritus, A. I. Rodionov, I. D. Rodionov, I. P. Rodionova, “The software for the distributed on-board computer system prototype”, Keldysh Institute preprints, 2004, 014, 25 pp.  mathnet
2003
50. A. A. Belov, D. V. Vorontsov, A. P. Kalinin, M. Yu. Ovchinnikov, A. G. Orlov, A. A. Ponomarev, A. I. Rodionov, I. D. Rodionov, R. S. Salikhov, E. Yu. Fedunin, N. N. Khrenov, “The russian small satellite for hyperspectral monitoring of gas pipelines”, Keldysh Institute preprints, 2003, 017, 14 pp.  mathnet
51. A. A. Belov, D. V. Vorontsov, A. A. Ilyin, M. Yu. Ovchinnikov, A. G. Orlov, A. A. Ponomarev, I. D. Rodionov, R. S. Salikhov, N. N. Khrenov, “The russian small satellite for hyperspectral monitoring of gas pipelines”, Keldysh Institute preprints, 2003, 012, 14 pp.  mathnet

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