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Nefedov, Nikolai Nikolaevich

Statistics Math-Net.Ru
Total publications: 61
Scientific articles: 56
Presentations: 1

Number of views:
This page:1731
Abstract pages:12494
Full texts:4689
References:1380
Professor
Doctor of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person19451
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/226766

Publications in Math-Net.Ru
2019
1. N. N. Nefedov, E. I. Nikulin, “Existence and Asymptotic Stability of Periodic Two-Dimensional Contrast Structures in the Problem with Weak Linear Advection”, Mat. Zametki, 106:5 (2019),  708–722  mathnet; Math. Notes, 106:5 (2019), 771–783  isi  scopus
2. N. T. Levashova, N. N. Nefedov, A. O. Orlov, “Асимптотическая устойчивость стационарного решения многомерного уравнения реакция-диффузия с разрывным источником”, Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019),  611–620  mathnet  elib
3. V.T. Volkov, D. V. Lukyanenko, N. N. Nefedov, “Аналитико-численный подход для описания периодических по времени движущихся фронтов в сингулярно возмущенных моделях реакция–диффузия–адвекция”, Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019),  50–62  mathnet  elib
2018
4. N. T. Levashova, N. N. Nefedov, A. V. Yagremtsev, “Existence of a solution in the form of a moving front of a reaction-diffusion-advection problem in the case of balanced advection”, Izv. RAN. Ser. Mat., 82:5 (2018),  131–152  mathnet  elib; Izv. Math., 82:5 (2018), 984–1005  isi  scopus
5. N. N. Nefedov, E. I. Nikulin, “Existence and stability of the periodic solution with an interior transitional layer in the problem with a weak linear advection”, Model. Anal. Inform. Sist., 25:1 (2018),  125–132  mathnet  elib
6. E. A. Antipov, N. T. Levashova, N. N. Nefedov, “Asymptotic approximation of the solution of the reaction-diffusion-advection equation with a nonlinear advective term”, Model. Anal. Inform. Sist., 25:1 (2018),  18–32  mathnet  elib
7. V. F. Butuzov, N. N. Nefedov, L. Recke, K. R. Schneider, “Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation”, Comput. Math. Math. Phys., 58:12 (2018), 1989–2001  mathnet  isi  elib  scopus
2017
8. D. V. Luk'yanenko, V. T. Volkov, N. N. Nefedov, “Dynamically adapted mesh construction for the efficient numerical solution of a singular perturbed reaction-diffusion-advection equation”, Model. Anal. Inform. Sist., 24:3 (2017),  322–338  mathnet  elib
9. E. A. Antipov, V. T. Volkov, N. T. Levashova, N. N. Nefedov, “Moving front solution of the reaction-diffusion problem”, Model. Anal. Inform. Sist., 24:3 (2017),  259–279  mathnet  elib
10. M. A. Davydova, N. N. Nefedov, “Existence and stability of the solutions with internal layers in multidimensional problems of the reaction-diffusion-advection type with balanced nonlinearity”, Model. Anal. Inform. Sist., 24:1 (2017),  31–38  mathnet  mathscinet  elib
11. N. T. Levashova, N. N. Nefedov, A. O. Orlov, “Time-independent reaction-diffusion equation with a discontinuous reactive term”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  854–866  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:5 (2017), 854–866  isi  scopus
2016
12. N. N. Nefedov, E. I. Nikulin, “Existence and stability of periodic solutions for reaction-diffusion equations in the two-dimensional case”, Model. Anal. Inform. Sist., 23:3 (2016),  342–348  mathnet  mathscinet  elib
13. D. V. Lukyanenko, V. T. Volkov, N. N. Nefedov, L. Recke, K. Schneider, “Analytic-numerical approach to solving singularly perturbed parabolic equations with the use of dynamic adapted meshes”, Model. Anal. Inform. Sist., 23:3 (2016),  334–341  mathnet  mathscinet  elib
14. V. F. Butuzov, N. N. Nefedov, L. Recke, K. Schneider, “Asymptotics, stability and region of attraction of a periodic solution to a singularly perturbed parabolic problem in case of a multiple root of the degenerate equation”, Model. Anal. Inform. Sist., 23:3 (2016),  248–258  mathnet  mathscinet  elib; Automatic Control and Computer Sciences, 51:7 (2017), 606–613
2015
15. N. N. Nefedov, Minkang Ni, “Internal layers in the one-dimensional reaction–diffusion equation with a discontinuous reactive term”, Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015),  2042–2048  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:12 (2015), 2001–2007  isi  scopus
2014
16. E. A. Antipov, N. T. Levashova, N. N. Nefedov, “Asymptotics of the front motion in the reaction-diffusion-advection problem”, Zh. Vychisl. Mat. Mat. Fiz., 54:10 (2014),  1594–1607  mathnet  elib; Comput. Math. Math. Phys., 54:10 (2014), 1536–1549
17. 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
2013
18. N. T. Levashova, N. N. Nefedov, A. V. Yagremtsev, “Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection”, Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013),  365–376  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 53:3 (2013), 273–283  isi  elib  scopus
2012
19. N. N. Nefedov, A. G. Nikitin, “The initial boundary value problem for a nonlocal singularly perturbed reaction–diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1042–1047  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:6 (2012), 926–931  isi  elib  scopus
2011
20. N. N. Nefedov, A. G. Nikitin, “Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor”, Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1081–1090  mathnet  mathscinet; Comput. Math. Math. Phys., 51:6 (2011), 1011–1019  isi  scopus
2010
21. V. T. Volkov, N. E. Grachev, A. V. Dmitriev, N. N. Nefedov, “Front formation and dynamics in the reaction-diffusion-advection model”, Matem. Mod., 22:8 (2010),  109–118  mathnet  mathscinet; Math. Models Comput. Simul., 3:2 (2011), 158–164  scopus
22. N. N. Nefyodov, “General scheme of asymptotic investigation of stable contrast structures”, Nelin. Dinam., 6:1 (2010),  181–186  mathnet
23. A. B. Vasil'eva, V. F. Butuzov, N. N. Nefedov, “Singularly perturbed problems with boundary and internal layers”, Tr. Mat. Inst. Steklova, 268 (2010),  268–283  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 268 (2010), 258–273  isi  elib  scopus
24. N. E. Grachev, A. V. Dmitriev, D. S. Senin, V. T. Volkov, N. N. Nefedov, “Simulation of in-situ combustion front dynamics”, Vychisl. Metody Programm., 11:4 (2010),  306–312  mathnet
25. Yu. V. Bozhevol'nov, N. N. Nefëdov, “Front motion in a parabolic reaction-diffusion problem”, Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010),  276–285  mathnet  mathscinet; Comput. Math. Math. Phys., 50:2 (2010), 264–273  isi  scopus
2008
26. N. N. Nefedov, K. R. Schneider, “On immediate-delayed exchange of stabilities and periodic forced canards”, Zh. Vychisl. Mat. Mat. Fiz., 48:1 (2008),  46–61  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 48:1 (2008), 43–58  isi  scopus
2007
27. V. T. Volkov, N. E. Grachëv, N. N. Nefedov, A. N. Nikolaev, “On the formation of sharp transition layers in two-dimensional reaction-diffusion models”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007),  1356–1364  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 47:8 (2007), 1301–1309  scopus
28. N. N. Nefedov, A. G. Nikitin, “The Cauchy problem for a singularly perturbed integro-differential Fredholm equation”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  655–664  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:4 (2007), 629–637  scopus
2006
29. N. N. Nefedov, A. G. Nikitin, “Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case”, Differ. Uravn., 42:5 (2006),  690–700  mathnet  mathscinet; Differ. Equ., 42:5 (2006), 739–749
30. N. N. Nefedov, “Spike-type contrast structures in reaction-diffusion systems”, Fundam. Prikl. Mat., 12:5 (2006),  121–134  mathnet  mathscinet  zmath; J. Math. Sci., 150:6 (2008), 2540–2549  scopus
31. N. N. Nefedov, A. G. Nikitin, T. A. Urazgil'dina, “The Cauchy problem for a singularly perturbed Volterra integro-differential equation”, Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006),  805–812  mathnet  mathscinet; Comput. Math. Math. Phys., 46:5 (2006), 768–775  scopus
32. N. N. Nefedov, O. E. Omel'chenko, L. Recke, “Stationary internal layers in a reaction-advection-diffusion integro-differential system”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006),  624–646  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 46:4 (2006), 594–615  scopus
33. V. T. Volkov, N. N. Nefedov, “Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006),  615–623  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 46:4 (2006), 585–593  scopus
2005
34. N. N. Nefedov, M. Radziunas, K. R. Schneider, A. B. Vasil'eva, “Change of the type of contrast structures in parabolic Neumann problems”, Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005),  41–55  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:1 (2005), 37–51
2004
35. N. N. Nefedov, M. Radziunas, K. R. Schneider, “Analytical-numerical investigation of delayed exchange of stabilities in singularly perturbed parabolic problems”, Zh. Vychisl. Mat. Mat. Fiz., 44:7 (2004),  1281–1288  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:7 (2004), 1213–1220
2003
36. N. N. Nefedov, K. R. Schneider, “Delay of exchange of stabilities in singularly perturbed parabolic problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003),  121–130  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S144–S154
2002
37. O. E. Omel'chenko, N. N. Nefëdov, “Boundary-layer solutions to quasilinear integro-differential equations of the second order”, Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  491–503  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:4 (2002), 470–482
38. V. F. Butuzov, N. N. Nefedov, K. R. Schneider, “On a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation”, Zh. Vychisl. Mat. Mat. Fiz., 42:2 (2002),  185–196  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 42:2 (2002), 176–187
2001
39. N. N. Nefedov, A. G. Nikitin, “Asymptotic stability of contrasting structures of step-like data type in singularly perturbed integro-differential equations in two-dimensional case”, Matem. Mod., 13:12 (2001),  65–74  mathnet  mathscinet  zmath
40. N. N. Nefëdov, A. G. Nikitin, “Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:7 (2001),  1057–1066  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:7 (2001), 1005–1014
2000
41. N. N. Nefedov, A. G. Nikitin, “The asymptotic method of differential inequalities for singularly perturbed integro-differential equations”, Differ. Uravn., 36:10 (2000),  1398–1404  mathnet  mathscinet; Differ. Equ., 36:10 (2000), 1544–1550
42. N. N. Nefedov, “An asymptotic method of differential inequalities for the investigation of periodic contrast structures: Existence, asymptotics, and stability”, Differ. Uravn., 36:2 (2000),  262–269  mathnet  mathscinet; Differ. Equ., 36:2 (2000), 298–305
1998
43. V. F. Butuzov, N. N. Nefedov, “A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability”, Mat. Zametki, 63:3 (1998),  354–362  mathnet  mathscinet  zmath; Math. Notes, 63:3 (1998), 311–318  isi
1997
44. V. F. Butuzov, A. B. Vasil'eva, N. N. Nefedov, “Asymptotic Theory of Contrasting Structures. A Survey”, Avtomat. i Telemekh., 1997, 7,  4–32  mathnet  mathscinet  zmath; Autom. Remote Control, 58:7 (1997), 1068–1091
1996
45. N. N. Nefedov, “The method of differential inequalities for nonlinear singularly perturbed problems with contrast structures of step type in the critical case”, Differ. Uravn., 32:11 (1996),  1529–1537  mathnet  mathscinet; Differ. Equ., 32:11 (1996), 1526–1534
46. A. B. Vasil'eva, N. N. Nefedov, I. V. Radchenko, “An internal transition layer in a singularly perturbed initial-value problem”, Zh. Vychisl. Mat. Mat. Fiz., 36:9 (1996),  105–111  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:9 (1996), 1251–1256  isi
1995
47. N. N. Nefedov, “The method of differential inequalities for some classes of nonlinear singularly perturbed problems with internal layers”, Differ. Uravn., 31:7 (1995),  1142–1149  mathnet  mathscinet  zmath; Differ. Equ., 31:7 (1995), 1077–1085
48. N. N. Nefedov, “The method of differential inequalities for some singularly perturbed partial differential equations”, Differ. Uravn., 31:4 (1995),  719–722  mathnet  mathscinet; Differ. Equ., 31:4 (1995), 668–671
1994
49. V. T. Volkov, N. N. Nefedov, “Periodic solutions with boundary layers of a singularly perturbed reaction–diffusion model”, Zh. Vychisl. Mat. Mat. Fiz., 34:8-9 (1994),  1307–1315  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:8-9 (1994), 1133–1140
1992
50. N. N. Nefedov, “The nonstationary contrast structures in the reaction-diffusion system”, Matem. Mod., 4:8 (1992),  58–65  mathnet  mathscinet
1991
51. N. N. Nefedov, “The contrast structures in the reaction–advection–diffusion equations”, Matem. Mod., 3:2 (1991),  135–140  mathnet  mathscinet
1989
52. V. F. Butuzov, N. N. Nefedov, E. V. Polezhaeva, “The asymptotic solution of linearized problems on the natural and forced resonance oscillations of a medium of low viscosity”, Zh. Vychisl. Mat. Mat. Fiz., 29:7 (1989),  1023–1035  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:4 (1989), 41–49
1987
53. V. F. Butuzov, N. N. Nefedov, E. V. Fedotova, “Asymptotic solution of the linearized problem of the propagation of sound in a bounded medium with low viscosity”, Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987),  226–236  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:1 (1987), 146–153
1985
54. N. N. Nefedov, “Asymptotic solution of a problem of modeling heat and mass exchange in interpenetrating media”, Differ. Uravn., 21:10 (1985),  1819–1821  mathnet  mathscinet  zmath
1978
55. N. N. Nefedov, “A class of singularly perturbed equations”, Zh. Vychisl. Mat. Mat. Fiz., 18:1 (1978),  93–105  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:1 (1978), 89–101
1976
56. V. F. Butuzov, N. N. Nefedov, “A problem in the theory of singular perturbations”, Differ. Uravn., 12:10 (1976),  1736–1747  mathnet  mathscinet  zmath

2017
57. V. F. Butuzov, S. D. Glyzin, N. N. Nefedov, “From the editors of the special issue”, Model. Anal. Inform. Sist., 24:3 (2017),  257  mathnet  elib
2015
58. 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
2010
59. N. N. Nefedov, L. Recke, K. R. Schneider, “Asymptotic stability via the Krein–Rutman theorem for singularly perturbed parabolic periodic Dirichlet problems”, Regul. Chaotic Dyn., 15:2-3 (2010),  382–389  mathnet  mathscinet  zmath
1999
60. A. B. Vasil'eva, V. A. Il'in, N. N. Nefedov, N. Kh. Rozov, A. A. Samarskii, A. G. Sveshnikov, “Valentin Fedorovich Butuzov (on his 60th birthday)”, Uspekhi Mat. Nauk, 54:6(330) (1999),  179–181  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:6 (1999), 1265–1267  isi
1998
61. A. B. Vasil'eva, V. F. Butuzov, N. N. Nefedov, “Contrast structures in singularly perturbed problems”, Fundam. Prikl. Mat., 4:3 (1998),  799–851  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Singularly perturbed problems with boundary and internal layers
A. B. Vasil'eva, V. F. Butuzov, N. N. Nefedov
International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin
June 22, 2008 10:00   

Organisations
 
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