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Bykov, Aleksei Aleksandrovich
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person40930
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/193527

Publications in Math-Net.Ru Citations
2019
1. A. A. Bykov, K. E. Ermakova, “Nonstationary contrast structures of the problem of reaction-diffusion with roots of integral sheet in a inhomogeneous medium”, Mat. Model., 31:9 (2019),  101–130  mathnet  elib; Math. Models Comput. Simul., 12:3 (2020), 329–347 2
2018
2. A. A. Bykov, K. E. Ermakova, “Exact solutions of equations of a nonstationary front with equilibrium points of a fractional order”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018),  2060–2073  mathnet  elib; Comput. Math. Math. Phys., 58:12 (2018), 1977–1988  isi  scopus 1
2017
3. A. A. Bykov, K. E. Ermakova, “Nonstationary equations for the reaction layer with the degenerate equilibrium points”, Model. Anal. Inform. Sist., 24:3 (2017),  309–321  mathnet  elib
2016
4. A. A. Bykov, “Numerical scheme for the pseudoparabolic singularly perturbed initial-boundary problem with interior transitional layer”, Model. Anal. Inform. Sist., 23:3 (2016),  259–282  mathnet  mathscinet  elib 3
2014
5. A. A. Bykov, A. S. Sharlo, “Nonstationary contrast structures in adjacency of the special point”, Mat. Model., 26:8 (2014),  107–125  mathnet; Math. Models Comput. Simul., 7:2 (2015), 165–178  scopus 2
6. A. A. Bykov, N. N. Nefedov, A. S. Sharlo, “Contrast structures for a quasilinear Sobolev-type equation with unbalanced nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014),  1270–1280  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 54:8 (2014), 1234–1243  isi  elib  scopus 2
2007
7. A. A. Bykov, A. R. Maikov, V. Yu. Popov, “Nonstationary three-dimensional contrasting structures”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007),  64–66  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:1 (2007), 62–64  scopus 1
2003
8. A. A. Bykov, D. O. Zubo, V. Yu. Popov, “On stable contrast structures in a smoothly inhomogeneous medium”, Zh. Vychisl. Mat. Mat. Fiz., 43:5 (2003),  690–696  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:5 (2003), 658–664
1999
9. A. A. Bukov, Vl. V. Voevodin, O. V. Kozyreva, V. Yu. Popov, D. D. Sokolov, “Evolution of two-dimensional contrast structures of complex form”, Zh. Vychisl. Mat. Mat. Fiz., 39:5 (1999),  801–811  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:5 (1999), 769–778 2
10. A. A. Bykov, V. Yu. Popov, “A one-dimensional unsteady contrast structure in an honhomogeneous medium”, Zh. Vychisl. Mat. Mat. Fiz., 39:3 (1999),  458–471  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:3 (1999), 435–447 3
11. A. A. Bykov, V. Yu. Popov, “On the lifetime of one-dimensional transient contrast structures”, Zh. Vychisl. Mat. Mat. Fiz., 39:2 (1999),  280–288  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:2 (1999), 266–273 7
1993
12. A. A. Bykov, V. Yu. Popov, “On the application of singular expansions with respect to a small parameter in problems on the excitation of open periodic wave guides”, Dokl. Akad. Nauk, 329:6 (1993),  726–728  mathnet  mathscinet; Dokl. Math., 38:4 (1993), 144–146
1991
13. A. A. Bykov, V. Yu. Popov, A. G. Sveshnikov, “Simulation of ion streams in a field of magnetic protection”, Mat. Model., 3:10 (1991),  116–125  mathnet
14. A. A. Bykov, V. Yu. Popov, A. V. Tikhonravov, “The scattering of plane wave on columnar structure of thin films”, Mat. Model., 3:9 (1991),  31–40  mathnet
15. A. A. Bykov, A. G. Sveshnikov, M. K. Trubetskov, “Reduced Galerkin's method application to calculations of eigenwaves in open waveguides”, Mat. Model., 3:7 (1991),  111–123  mathnet  mathscinet  zmath
1990
16. A. A. Bykov, A. G. Sveshnikov, M. K. Trubetskov, “Application of the incomplete Galerkin method for solving problems of the diffraction of electromagnetic waves by a nonhomogeneous cylinder”, Zh. Vychisl. Mat. Mat. Fiz., 30:6 (1990),  894–909  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 179–190 3
1989
17. A. A. Bykov, “A stable method for solving stiff boundary value problems for second-order ordinary differential equations with a slowly varying matrix”, Dokl. Akad. Nauk SSSR, 308:1 (1989),  15–19  mathnet  mathscinet  zmath; Dokl. Math., 40:2 (1990), 273–277
18. A. A. Bykov, A. G. Sveshnikov, S. A. Yakunin, “Solution of a kinetic equation for the electronic component of plasma in the magnetic filter with multigroup method”, Dokl. Akad. Nauk SSSR, 304:6 (1989),  1333–1337  mathnet
19. A. A. Bykov, V. Yu. Popov, A. G. Sveshnikov, S. A. Yakunin, “Inner transitional layers for potential in a strongly magnetized plasma”, Mat. Model., 1:6 (1989),  33–47  mathnet  zmath 3
20. A. A. Bykov, V. Yu. Popov, A. G. Sveshnikov, S. A. Yakunin, “Mathematical modelling of current in a medium with strong Hall effect”, Mat. Model., 1:4 (1989),  45–53  mathnet  zmath
21. A. A. Bykov, “The pivotal-condensation method for solving stiff boundary value problems for systems of linear difference equations”, Zh. Vychisl. Mat. Mat. Fiz., 29:3 (1989),  355–370  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:2 (1989), 21–31 1
22. A. A. Bykov, M. K. Trubetskov, “Optimization of the form of a periodic interface between two homogeneous media with different dielectric permeabilities”, Zh. Vychisl. Mat. Mat. Fiz., 29:1 (1989),  75–81  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 29:1 (1989), 52–57
1988
23. A. A. Bykov, A. I. Morozov, A. G. Sveshnikov, S. A. Yakunin, “Dynamics of an electron component of quasi-neutral plasma in the magnetic net region”, Dokl. Akad. Nauk SSSR, 299:6 (1988),  1357–1362  mathnet
1986
24. A. A. Bykov, “Numerical solution of stiff boundary value problems for systems of linear difference equations by the double sweep method”, Dokl. Akad. Nauk SSSR, 288:3 (1986),  521–524  mathnet  mathscinet
1984
25. A. A. Bykov, “A stable numerical method for constructing a fundamental matrix for a system of linear ordinary differential equations”, Dokl. Akad. Nauk SSSR, 274:1 (1984),  11–14  mathnet  mathscinet  zmath
1982
26. A. A. Bykov, A. S. Il'inskii, “Analysis of the statistical properties of periodic antenna arrays with local excitation by means of the Galerkin incomplete method”, Dokl. Akad. Nauk SSSR, 262:4 (1982),  843–847  mathnet  mathscinet
1981
27. A. A. Bykov, “Stability to rounding errors of directed orthogonalization”, Zh. Vychisl. Mat. Mat. Fiz., 21:5 (1981),  1154–1167  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:5 (1981), 80–94
1980
28. A. A. Bykov, “A stable numerical method of solving boundary-value problems for systems of linear ordinary differential equations”, Dokl. Akad. Nauk SSSR, 251:5 (1980),  1040–1044  mathnet  mathscinet  zmath 1
29. A. A. Bykov, “A numerical method for solving multidimensional integral equations”, Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980),  1058–1062  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:4 (1980), 259–265
1979
30. A. A. Bykov, A. S. Il'inskii, “Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  631–639  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 74–82 8
2020
31. V. F. Butuzov, A. A. Bykov, I. E. Mogilevskii, Yu. V. Mukhartova, N. N. Nefedov, A. G. Sveshnikov, D. D. Sokoloff, N. A. Tikhonov, N. E. Shapkina, A. G. Yagola, “К семидесятипятилетию Александра Николаевича Боголюбова”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1451–1452  mathnet  elib
2015
32. V. F. Butuzov, A. A. Bykov, A. L. Delitsyn, M. K. Kerimov, I. E. Mogilevskii, Yu. V. Mukhartova, N. N. Nefedov, A. G. Sveshnikov, D. D. Sokoloff, N. A. Tikhonov, N. E. Shapkina, A. G. Yagola, “On the 70th anniversary of birthday of Professor Aleksandr Nikolaevich Bogolyubov”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1635–1636  mathnet  elib

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