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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
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 ; Theoret. and Math. Phys., 220:3 (2024), 1556–1566 |
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2023 |
2. |
A. A. Belov, M. A. Tintul, “Multidimensional cubatures with super-power convergence”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023), 107–111 ; Dokl. Math., 108:3 (2023), 514–518 |
3. |
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 ; Comput. Math. Math. Phys., 63:6 (2023), 1137–1154 |
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2022 |
4. |
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 ; Comput. Math. Math. Phys., 62:9 (2022), 1496–1514 |
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5. |
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 ; Comput. Math. Math. Phys., 62:1 (2022), 84–97 |
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2021 |
6. |
A. A. Belov, N. N. Kalitkin, M. A. Tintul, “Multidimensional cubatures on Sobol sequences”, Keldysh Institute preprints, 2021, 008, 24 pp. |
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2020 |
7. |
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 ; Dokl. Math., 101:3 (2020), 185–188 |
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8. |
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 ; Dokl. Math., 101:2 (2020), 165–168 |
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9. |
A. A. Belov, A. S. Vergazov, N. N. Kalitkin, “Accuracy control in stiff system integration”, Keldysh Institute preprints, 2020, 088, 27 pp. |
10. |
A. A. Belov, N. N. Kalitkin, “Numerical integration of Cauchy problems with singularity points”, Keldysh Institute preprints, 2020, 076, 36 pp. |
11. |
A. A. Belov, N. N. Kalitkin, V. S. Khokhlachev, “Improved error estimates for an exponentially convergent quadratures”, Keldysh Institute preprints, 2020, 075, 24 pp. |
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12. |
A. A. Belov, V. S. Dimakov, I. A. Kozlitin, “Superfast calculation method of multicomponent plasma composition and thermodynamics”, Matem. Mod., 32:12 (2020), 95–102 ; Math. Models Comput. Simul., 13:4 (2021), 692–697 |
13. |
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 ; Comput. Math. Math. Phys., 60:11 (2020), 1747–1753 |
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14. |
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 ; Comput. Math. Math. Phys., 60:7 (2020), 1199–1207 |
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2019 |
15. |
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. |
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16. |
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. |
17. |
A. A. Belov, N. N. Kalitkin, M. A. Tintul, “Visual verification of pseudo-random number generators”, Keldysh Institute preprints, 2019, 137, 28 pp. |
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18. |
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. |
19. |
A. A. Belov, O. V. Valianikov, N. N. Kalitkin, “Numerical solution of the Cauchy problem with singularities”, Keldysh Institute preprints, 2019, 121, 16 pp. |
20. |
A. A. Belov, N. N. Kalitkin, “Quasi-independent particles model for heterogeneous plasma microfield”, Keldysh Institute preprints, 2019, 093, 28 pp. |
21. |
A. A. Belov, N. N. Kalitkin, O. I. Topor, I. A. Fedorov, “Reactivities of the reactions important for controlled fusion targets”, Matem. Mod., 31:9 (2019), 39–53 ; Math. Models Comput. Simul., 12:3 (2020), 293–301 |
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2018 |
22. |
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. |
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23. |
A. A. Belov, N. N. Kalitkin, I. A. Kozlitin, “Plasma microfield heterogeneity”, Keldysh Institute preprints, 2018, 220, 16 pp. |
24. |
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. |
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25. |
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. |
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26. |
A. A. Belov, N. N. Kalitkin, “Solution of the Fredholm equation of the first kind by mesh method with Tikhonov regularization”, Matem. Mod., 30:8 (2018), 67–88 ; Math. Models Comput. Simul., 11:2 (2019), 287–300 |
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2017 |
27. |
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 ; Comput. Math. Math. Phys., 57:11 (2017), 1741–1750 |
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28. |
A. A. Belov, “Numerical diagnostics of solution blowup in differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017), 111–121 ; Comput. Math. Math. Phys., 57:1 (2017), 122–132 |
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2016 |
29. |
A. A. Belov, N. N. Kalitkin, “Numerical methods of solving Cauchy problems with contrast structures”, Model. Anal. Inform. Sist., 23:5 (2016), 529–538 |
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30. |
A. A. Belov, N. N. Kalitkin, “Mesh step selection based on curvature for stiff Cauchy problems”, Matem. Mod., 28:11 (2016), 97–112 ; Math. Models Comput. Simul., 9:3 (2017), 305–317 |
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31. |
A. A. Belov, N. N. Kalitkin, “Features of contrast structure calculation in Cauchy problems”, Matem. Mod., 28:10 (2016), 97–109 ; Math. Models Comput. Simul., 9:3 (2017), 281–291 |
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32. |
A. A. Belov, N. N. Kalitkin, L. V. Kuzmina, “Chemical kinetics simulation in gases”, Matem. Mod., 28:8 (2016), 46–64 ; Math. Models Comput. Simul., 9:1 (2017), 24–39 |
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33. |
A. A. Belov, N. N. Kalitkin, “Nonlinearity difficulty in numerical solving of superstiff Cauchy problems”, Matem. Mod., 28:4 (2016), 16–32 ; Math. Models Comput. Simul., 8:6 (2016), 638–650 |
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2015 |
34. |
A. A. Belov, “GACK package for chemical kinetics calculation with guaranteed accuracy”, Keldysh Institute preprints, 2015, 071, 12 pp. |
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35. |
A. A. Belov, “SuFaReC programs for superfast elliptic problems solving in rectangular domain”, Keldysh Institute preprints, 2015, 044, 12 pp. |
36. |
A. A. Belov, N. N. Kalitkin, “Numerical simulations of boundary layer problems”, Matem. Mod., 27:11 (2015), 47–55 ; Math. Models Comput. Simul., 8:4 (2016), 341–347 |
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37. |
A. A. Belov, N. N. Kalitkin, L. V. Kuzmina, “Comparison of highly stable forms of iterative conjugate directions methods”, Matem. Mod., 27:9 (2015), 110–136 ; Math. Models Comput. Simul., 8:2 (2016), 155–174 |
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38. |
A. A. Belov, N. N. Kalitkin, “Superfast method with guaranteed accuracy for elliptic equations in rectangular domain”, Matem. Mod., 27:7 (2015), 37–43 |
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2014 |
39. |
A. A. Belov, N. N. Kalitkin, “Evolutional factorization and superfast relaxation count”, Matem. Mod., 26:9 (2014), 47–64 ; Math. Models Comput. Simul., 7:2 (2015), 103–116 |
6
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40. |
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 |
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2013 |
41. |
A. A. Belov, N. N. Kalitkin, “Evolutional factorization and superfast relaxation count”, Keldysh Institute preprints, 2013, 069, 36 pp. |
3
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42. |
A. A. Belov, “On the coefficients of the Euler–Macloren formulae for numerical integration”, Matem. Mod., 25:6 (2013), 72–79 ; Math. Models Comput. Simul., 6:1 (2014), 32–37 |
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2004 |
43. |
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. |
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44. |
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. |
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2003 |
45. |
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. |
46. |
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. |
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