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Amosov, Andrey Avenirovitch
Statistics Math-Net.Ru
Total publications: 42
Scientific articles: 41
Presentations: 2

Number of views:
This page:5420
Abstract pages:11655
Full texts:6946
References:925
Professor
Doctor of physico-mathematical sciences (1998)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 6.03.1954
E-mail: ,
Keywords: mathematical physics equations, nonlinear boundary value problems, week solution, finite-difference scheme, error estimate, homogenization, projection methods.
UDC: 512.831/99, 517.9, 517.958, 519.21, 533.7, 621.391.1, 519.634, 519.934

Subject:

Nonlinear partial differential equations. Homogenization. Numerical methods. Integral equations.
   
Main publications:
  1. Amosov A.A. and Zlotnik A.A., “A study of finite-difference method for one-dimensional viscous heat conductive gas flow equation. Part I: A priori estimates and stability”, Sov. J. Numer. Anal. Math. Modelling, 2:3 (1987), 159–178  mathscinet  zmath
  2. Amosov A.A., Dubinskii Ju.A., Kopchenova N.V., Computational Methods for Engineers, Vystshaja Shkola, Moscow, 1994; Second edition, MPEI, Moscow, 2003; Third edition, MPEI Publisher House, Moscow, 2008
  3. Amosov A.A. and Zlotnik A.A., “An error estimate of quasi-averaging of the equations of motion of a viscous barotropic medium with rapidly oscillating data”, Comp. Maths. Math. Phys., 36:10 (1996), 1415–1428  mathscinet  zmath
  4. Amosov A.A., “The existence of global generalised solutions of the equations of one-dimensional motion of a real gas with discontinuous data”, Differential Equations, 36:4 (2000), 540–558  crossref  mathscinet  zmath
  5. Amosov A.A., “Global solvability of a nonlinear nonstationary problem with a nonlocal boundary value condition of radiative heat transfer type”, Differential Equations, 41:1 (2005), 96–109  crossref  mathscinet  zmath

https://www.mathnet.ru/eng/person19482
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/217584

Publications in Math-Net.Ru Citations
2017
1. A. A. Amosov, “Stationary problem of complex heat transfer in a system of semitransparent bodies with boundary conditions of diffuse reflection and refraction of radiation”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  510–535  mathnet  elib; Comput. Math. Math. Phys., 57:3 (2017), 515–540  isi  scopus 14
2016
2. A. A. Amosov, “Nonstationary problem of complex heat transfer in a system of semitransparent bodies with radiation diffuse reflection and refraction boundary-value conditions”, CMFD, 59 (2016),  5–34  mathnet 3
2007
3. A. A. Amosov, I. A. Goshev, “Substantiation of two-scale homogenization of the equations governing the longitudinal vibrations of a viscoelastoplastic Ishlinskii material”, Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007),  988–1006  mathnet; Comput. Math. Math. Phys., 47:6 (2007), 943–961  scopus 1
2006
4. A. A. Amosov, A. E. Vestfal'skii, “Finite-difference scheme for two-scale homogenized equations of one-dimensional motion of a thermoviscoelastic Voigt-type body”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006),  727–754  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 46:4 (2006), 691–718  scopus
2005
5. A. A. Amosov, “Global solvability of a nonlinear nonstationary problem with a nonlocal boundary condition of radiative heat transfer type”, Differ. Uravn., 41:1 (2005),  93–104  mathnet  mathscinet; Differ. Equ., 41:1 (2005), 96–109 39
2002
6. A. A. Amosov, “Existence of Global Weak Solutions to the Equations of One-Dimensional Nonlinear Thermoviscoelasticity with Discontinuous Data”, Trudy Mat. Inst. Steklova, 236 (2002),  11–19  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 236 (2002), 3–11 4
2001
7. A. A. Amosov, A. A. Zlotnik, “Substantiation of two-scale homogenization of one-dimensional nonlinear thermoviscoelasticity equations with nonsmooth data”, Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001),  1713–1733  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:11 (2001), 1630–1650 4
2000
8. A. A. Amosov, “The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data”, Differ. Uravn., 36:4 (2000),  486–499  mathnet  mathscinet; Differ. Equ., 36:4 (2000), 540–558 12
1999
9. A. A. Amosov, A. A. Zlotnik, “A semidiscrete method for solving equations of the one-dimensional motion of a viscous heat-conducting gas with nonsmooth data. Regularity of solutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 5,  12–25  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:5 (1999), 10–23 3
10. A. A. Amosov, A. A. Zlotnik, “A finite difference scheme for quasi-averaged equations of one-dimensional viscous heat-conducting gas flow with nonsmooth data”, Zh. Vychisl. Mat. Mat. Fiz., 39:4 (1999),  592–611  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:4 (1999), 564–583 4
1998
11. A. A. Zlotnik, A. A. Amosov, “Stability of generalized solutions to equations of one-dimensional motion of viscous heat-conducting gases”, Mat. Zametki, 63:6 (1998),  835–846  mathnet  mathscinet  zmath; Math. Notes, 63:6 (1998), 736–746  isi 24
12. A. A. Amosov, A. A. Zlotnik, “Quasi-averaging of the system of equations of one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating data”, Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998),  1204–1219  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:7 (1998), 1152–1167 8
1997
13. A. A. Amosov, A. A. Zlotnik, “Justification of the quasi-averaging of equations of the one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating properties”, Dokl. Akad. Nauk, 354:4 (1997),  439–442  mathnet  mathscinet  zmath 2
14. A. A. Amosov, A. A. Zlotnik, “On properties of generalized solutions of one-dimensional linear parabolic problems with nonsmooth coefficients”, Differ. Uravn., 33:1 (1997),  83–95  mathnet  mathscinet; Differ. Equ., 33:1 (1997), 83–96 2
15. A. A. Amosov, A. A. Zlotnik, “A semidiscrete method for solving equations of the one-dimensional motion of a non-homogeneous viscous heat-conducting gas with nonsmooth data”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 4,  3–19  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:4 (1997), 1–17 25
16. A. A. Amosov, “Weak convergence for a class of rapidly oscillating functions”, Mat. Zametki, 62:1 (1997),  145–150  mathnet  mathscinet  zmath; Math. Notes, 62:1 (1997), 122–126  isi 11
17. A. A. Zlotnik, A. A. Amosov, “On the stability of generalized solutions of equations of one-dimensional motion of a viscous heat-conducting gas”, Sibirsk. Mat. Zh., 38:4 (1997),  767–789  mathnet  mathscinet  zmath; Siberian Math. J., 38:4 (1997), 663–684  isi 49
1996
18. A. A. Amosov, A. A. Zlotnik, “Properties “in the large” of quasi-averaged equations of the one-dimensional motion of a viscous heat-conducting gas”, Dokl. Akad. Nauk, 346:2 (1996),  151–154  mathnet  mathscinet  zmath 2
19. A. A. Amosov, A. A. Zlotnik, “An estimate of the error of quasi-averaging of the equations of motion of a viscous barotropic medium with rapidly oscillating data”, Zh. Vychisl. Mat. Mat. Fiz., 36:10 (1996),  111–128  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:10 (1996), 1415–1428  isi 3
20. A. A. Amosov, A. A. Zlotnik, “On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data”, Zh. Vychisl. Mat. Mat. Fiz., 36:2 (1996),  87–110  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:2 (1996), 203–220  isi 20
1995
21. A. A. Amosov, A. A. Zlotnik, “Justification of quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating properties”, Dokl. Akad. Nauk, 342:3 (1995),  295–299  mathnet  mathscinet  zmath 4
22. A. A. Amosov, A. A. Zlotnik, “Uniqueness and stability of generalized solutions of quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium”, Differ. Uravn., 31:7 (1995),  1123–1131  mathnet  mathscinet  zmath; Differ. Equ., 31:7 (1995), 1056–1066 4
1994
23. A. A. Amosov, A. A. Zlotnik, “Solvability “in the large” of a class of quasilinear systems of equations of composite type with nonsmooth data”, Differ. Uravn., 30:4 (1994),  596–609  mathnet  mathscinet  zmath; Differ. Equ., 30:4 (1994), 545–558 7
24. A. A. Amosov, A. A. Zlotnik, “Uniqueness and stability of generalized solutions for a class of quasilinear systems of composite type equations”, Mat. Zametki, 55:6 (1994),  13–31  mathnet  mathscinet  zmath; Math. Notes, 55:6 (1994), 555–567  isi 10
1992
25. A. A. Amosov, A. A. Zlotnik, “Solvability “in the large” of a system of equations of the one-dimensional motion of an inhomogeneous viscous heat-conducting gas”, Mat. Zametki, 52:2 (1992),  3–16  mathnet  mathscinet  zmath; Math. Notes, 52:2 (1992), 753–763  isi 33
1989
26. A. A. Amosov, A. A. Zlotnik, “A difference scheme on a non-uniform mesh for the equations of one-dimensional magnetic gas dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 29:4 (1989),  521–534  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:2 (1989), 129–139 17
1988
27. A. A. Amosov, A. A. Zlotnik, “Generalized solutions “in the large” of the equations of the one-dimensional motion of a viscous heat-conducting gas”, Dokl. Akad. Nauk SSSR, 301:1 (1988),  11–15  mathnet  mathscinet  zmath; Dokl. Math., 38:1 (1989), 1–5 5
28. A. A. Zlotnik, A. A. Amosov, “Generalized solutions “in the large” of equations of the one-dimensional motion of a viscous barotropic gas”, Dokl. Akad. Nauk SSSR, 299:6 (1988),  1303–1307  mathnet  mathscinet  zmath; Dokl. Math., 37:2 (1988), 554–558 3
29. A. A. Amosov, A. A. Zlotnik, “A family of difference schemes for equations of one-dimensional magnetogasdynamics: properties and error estimates “in the large””, Dokl. Akad. Nauk SSSR, 299:6 (1988),  1295–1299  mathnet  mathscinet  zmath; Dokl. Math., 37:2 (1988), 545–549 1
1987
30. A. A. Amosov, A. A. Zlotnik, “Difference schemes of second-order of accuracy for the equations of the one-dimensional motion of a viscous gas”, Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  1032–1049  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:4 (1987), 46–57 17
1986
31. A. A. Amosov, A. A. Zlotnik, “A difference scheme for equations of one-dimensional motion of a viscous barotropic gas, its properties and estimates of the error “in the large””, Dokl. Akad. Nauk SSSR, 288:2 (1986),  270–275  mathnet  mathscinet  zmath
1985
32. A. A. Amosov, A. A. Zlotnik, “A difference scheme for equations of motion of a viscous heat conducting gas, its properties and error estimates “in the large””, Dokl. Akad. Nauk SSSR, 284:2 (1985),  265–269  mathnet  mathscinet  zmath 1
33. A. A. Amosov, “Correctness “in the large” of initial-boundary value problems for a system of equations of the dynamics of a viscous radiating gas”, Dokl. Akad. Nauk SSSR, 280:6 (1985),  1326–1329  mathnet  mathscinet  zmath 1
1982
34. A. A. Amosov, A. B. Borisov, V. D. Valedinskii, M. V. Vladimirov, Ya. M. Zhileikin, A. A. Zlotnik, M. A. Kuz'mina, “A set of routines for the solution of problems of nonlinear optics”, Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  756–758  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 22:3 (1982), 275–277
1980
35. A. A. Amosov, N. S. Bakhvalov, J. I. Osipik, “Iteration processes for a problem of stationary heat exchange in a system of absolutely black bodies”, Zh. Vychisl. Mat. Mat. Fiz., 20:1 (1980),  104–111  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:1 (1980), 110–120 3
1979
36. A. A. Amosov, “The limit connection between two problems of radiation heat transfer”, Dokl. Akad. Nauk SSSR, 246:5 (1979),  1080–1083  mathnet  mathscinet 3
37. A. A. Amosov, “The solvability of a problem of radiation heat transfer”, Dokl. Akad. Nauk SSSR, 245:6 (1979),  1341–1344  mathnet  mathscinet 6
1977
38. A. A. Amosov, “A positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type”, Mat. Zametki, 22:1 (1977),  117–128  mathnet  mathscinet  zmath; Math. Notes, 22:1 (1977), 555–561 6
39. A. A. Amosov, V. D. Valedinskii, Ya. M. Zhileikin, A. A. Zlotnik, “Description of a program set for solution of the light-wave propagation equations”, Zh. Vychisl. Mat. Mat. Fiz., 17:4 (1977),  1074–1076  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:4 (1977), 253–256
1976
40. A. A. Amosov, V. V. Kolpakov, “Ordering of Information Criteria for Discrimination of Probability Distributions”, Probl. Peredachi Inf., 12:4 (1976),  3–9  mathnet  mathscinet  zmath; Problems Inform. Transmission, 12:4 (1976), 245–250
1972
41. A. A. Amosov, V. V. Kolpakov, “Scalar-Matrix Differentiation and Its Applications to Constructive Problems of Communication Theory”, Probl. Peredachi Inf., 8:1 (1972),  3–15  mathnet  mathscinet  zmath; Problems Inform. Transmission, 8:1 (1972), 1–9 3
2017
42. A. A. Amosov, Yu. A. Dubinskii, V. V. Kozlov, M. K. Kerimov, L. G. Popov, A. L. Skubachevskii, V. M. Filippov, M. F. Cherepova, “In memory of Professor Stanislav Ivanovich Pokhozhaev, Corresponding Member of RAS”, Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  379–380  mathnet  elib

Presentations in Math-Net.Ru
1. О предельном поведении решений уравнения переноса излучения в системе полупрозрачных тел при стремлении коэффициентов поглощения и рассеяния к бесконечности
A. A. Amosov
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 15, 2023 16:30   
2. О разрешимости начально-краевой задачи сложного теплообмена с краевыми условиями диффузного отражения и преломления для излучения
A. A. Amosov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 27, 2015 15:20

Organisations
 
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