RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 
Bakhvalov Nikolai Sergeevich
(1934–2005)

Statistics Math-Net.Ru
Total publications: 62
Scientific articles: 46

Number of views:
This page:2111
Abstract pages:12567
Full texts:4690
References:445
Member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1964)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 29.05.1934
Keywords: computational mathematics; numerically-asymptotical methods; theory of functions; mechanics of composite matherials; waves physics.
   
Main publications:
  • Bakhvalov N. S. Chislennye metody. M.: Nauka, 1973, 1975.
  • Bakhvalov N. S., Zhileikin Ya. M., Zabolotskaya E. A. Nelineinoe teoriya zvukovykh puchkov. M.: Nauka, 1982.
  • Bakhvalov N. S., Panasenko G. P. Osrednenie protsessov v periodicheskikh sredakh. Matematicheskie zadachi mekhaniki kompozitsionnykh materialov. M.: Nauka, 1984.
  • Bakhvalov N. S., Zhidkov N.P., Kobelkov G. M. Chislennye metody. M.: Nauka, 1987, 2000, 2001.

http://www.mathnet.ru/eng/person11168
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:bakhvalov.nikolai-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/29680

Publications in Math-Net.Ru
1. High-order accurate equations describing vibrations of thin bars
N. S. Bakhvalov, M. È. Èglit
Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006),  457–472
2. Efficient methods for stiff multidimensional multiparametric problems
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 39:12 (1999),  2019–2049
3. Automatic construction of integration mesh for boundary value problems with boundary layers
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 39:8 (1999),  1290–1295
4. An efficient algorithm for stiff elliptic problems with applications to the method of fictitious domains
N. S. Bakhvalov, K. Yu. Bogachev, Zh. F. Mètr
Zh. Vychisl. Mat. Mat. Fiz., 39:6 (1999),  919–931
5. Effective moduli of composites reinforced by systems of plates and bars
N. S. Bakhvalov, M. È. Èglit
Zh. Vychisl. Mat. Mat. Fiz., 38:5 (1998),  813–834
6. The effective properties of structures and composites with inclusions in the form of walls and rods
N. S. Bakhvalov, G. P. Panasenko, M. È. Èglit
Zh. Vychisl. Mat. Mat. Fiz., 36:12 (1996),  73–79
7. The limiting behaviour of periodic media with soft-modular inclusions
N. S. Bakhvalov, M. È. Èglit
Zh. Vychisl. Mat. Mat. Fiz., 35:6 (1995),  905–917
8. Energy estimates in the case of nonapplicability of the Korn inequality, and orthogonal decompositions in spaces of matrices
N. S. Bakhvalov, M. È. Èglit
Trudy Mat. Inst. Steklov., 203 (1994),  21–32
9. An estimate of the error of averaging the dynamics of small perturbations of very inhomogeneous mixtures
N. S. Bakhvalov, M. È. Èglit
Zh. Vychisl. Mat. Mat. Fiz., 34:3 (1994),  395–414
10. Averaging of the equations of the dynamics of composites of slightly compressible elastic components
N. S. Bakhvalov, M. È. Èglit
Zh. Vychisl. Mat. Mat. Fiz., 33:7 (1993),  1066–1082
11. Variational properties of averaged equations for periodic media
N. S. Bakhvalov, M. È. Èglit
Trudy Mat. Inst. Steklov., 192 (1990),  5–19
12. The averaging method for partial differential equations and its applications
N. S. Bakhvalov, G. P. Panasenko, A. L. Štaras
Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 34 (1988),  215–241
13. Numerical solution of problems with nonsmooth data and interpolation theorems
N. S. Bakhvalov
Trudy Mat. Inst. Steklov., 166 (1984),  18–22
14. Fast methods for solving the Poisson equation
N. S. Bakhvalov, M. Yu. Orekhov
Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1386–1392
15. Numerical modeling of the motion of a dense electron cloud in an inhomogeneous medium
N. S. Bakhvalov, E. P. Zhidkov, E. P. Kadantseva, S. B. Rubin, S. I. Serdyukova
Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  685–689
16. Averaging of the heat transfer process in periodic media in the presence of radiation
N. S. Bakhvalov
Differ. Uravn., 17:10 (1981),  1765–1773
17. Iteration processes for a problem of stationary heat exchange in a system of absolutely black bodies
A. A. Amosov, N. S. Bakhvalov, J. I. Osipik
Zh. Vychisl. Mat. Mat. Fiz., 20:1 (1980),  104–111
18. The numerical solution of a model selfconsistent electrodynamic problem
N. S. Bakhvalov, S. I. Serdyukova, S. B. Rubin, E. P. Kadantseva, E. P. Zhidkov
Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1228–1236
19. Numerical solution of maxwell's equations in an inhomogeneous region with a moving discontinuity on the right side
N. S. Bakhvalov, V. S. Bondarenko, E. P. Zhidkov, S. B. Rubin, S. I. Serdyukova
Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976),  697–704
20. Averaging of nonlinear partial differential equations with rapidly oscillating coefficients
N. S. Bakhvalov
Dokl. Akad. Nauk SSSR, 225:2 (1975),  249–252
21. Averaging of partial differential equations with rapidly oscillating coefficients
N. S. Bakhvalov
Dokl. Akad. Nauk SSSR, 221:3 (1975),  516–519
22. Averaged characteristics of bodies with periodic structure
N. S. Bakhvalov
Dokl. Akad. Nauk SSSR, 218:5 (1974),  1046–1048
23. A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative
N. S. Bakhvalov
Mat. Zametki, 12:6 (1972),  655–664
24. The stable calculation of polynomial values
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 11:6 (1971),  1568–1574
25. The optimization of methods of solution for ordinary differential equations with strongly oscillating solutions
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 11:5 (1971),  1318–1322
26. On the optimality of linear methods for operator approximation in convex classes of functions
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 11:4 (1971),  1014–1018
27. Regularization of Ritz method on an example of polynomial approximation
N. S. Bakhvalov, M. Shtrekho
Mat. Zametki, 7:4 (1970),  483–493
28. The existence in the large of a regular solution of a quasilinear hyperbolic system
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 10:4 (1970),  969–980
29. The properties of optimal methods of solving problems in mathematical physics
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 10:3 (1970),  555–568
30. On the optimization of the methods for solving boundary value problems in the presence of a boundary layer
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 9:4 (1969),  841–859
31. Evaluation of the integrals of oscillating functions by interpolation at nodes of gaussian quadratures
N. S. Bakhvalov, L. G. Vasil'eva
Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968),  175–181
32. Parabolic systems with small parameters in the higher derivatives
N. S. Bakhvalov
Dokl. Akad. Nauk SSSR, 174:2 (1967),  263–266
33. The asymptotics for small $\varepsilon$ of the solution of the equation $u_t+(\varphi(u))_{x}=\varepsilon u_{xx}$, corresponding to a rarefaction wave, in the degenerate case
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 7:6 (1967),  1229–1236
34. On the optimal speed of integrating analytic functions
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 7:5 (1967),  1011–1020
35. On the convergence of a relaxation method with natural constraints on the elliptic operator
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 6:5 (1966),  861–883
36. On the asymptotics with small $\varepsilon$ of the solution of the equation $u_t+(\varphi(u))_x=\varepsilon u_{xx}$, corresponding to a rarefaction wave
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 6:3 (1966),  521–526
37. Evaluations of the closeness of solutions of the Cauchy problem for non-linear differential equations
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966),  229–237
38. A lower bound for the randomness measure required in the use of the Monte Carlo method
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965),  760–763
39. Optimal convergence bounds for quadrature processes and integration methods of Monte Carlo type for classes of functions
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 4:supplement to № 4 (1964),  5–63
40. On the hypothesis of the independence of round-off errors in numerical integration
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964),  399–404
41. On optimal methods of specifying information during the solution of differential equations
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 2:4 (1962),  569–592
42. Estimation of the error of numerical integration of a first-order quasilinear equation
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 1:5 (1961),  771–783
43. An estimate of the mean remainder term in quadrature formulae
N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 1:1 (1961),  64–77
44. Construction of difference equations for an approximate solution of Laplace's equation
N. S. Bakhvalov
Dokl. Akad. Nauk SSSR, 114:6 (1957),  1146–1148
45. A method for an approximate solution of Laplace's equation
N. S. Bakhvalov
Dokl. Akad. Nauk SSSR, 114:3 (1957),  455–458
46. On the number of arithmetical operations in solving Poissonís equation for a square by means of finite differences
N. S. Bakhvalov
Dokl. Akad. Nauk SSSR, 113:2 (1957),  252–254

47. Aleksei Georgievich Sveshnikov (on his 80th birthday)
N. S. Bakhvalov, A. N. Bogolyubov, V. F. Butuzov, V. V. Voevodin, V. A. Il'in, A. S. Il'inskii, D. P. Kostomarov, E. I. Moiseev, A. A. Samarskii
Uspekhi Mat. Nauk, 60:2(362) (2005),  187–190
48. Aleksei Georgievich Sveshnikov (on the occasion of his eightieth birthday)
N. S. Bakhvalov, A. N. Bogolyubov, V. F. Butuzov, V. V. Voevodin, V. A. Il'in, A. S. Il'inskii, D. P. Kostomarov, E. I. Moiseev, A. A. Samarskii
Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005),  371–373
49. Viktor Antonovich Sadovnichii (A tribute in honor of his sixty-fifth birthday)
N. S. Bakhvalov, V. S. Vladimirov, A. A. Gonchar, S. V. Emel'yanov, Yu. I. Zhuravlev, V. A. Il'in, V. V. Kozlov, S. K. Korovin, L. D. Kudryavtsev, O. B. Lupanov, V. P. Maslov, E. I. Moiseev, Yu. S. Osipov, D. E. Okhotsimskii, P. L. Ul'yanov, L. D. Faddeev, E. I. Shemyakin
Differ. Uravn., 40:4 (2004),  435–442
50. Vera Nikolaevna Maslennikova (obituary)
A. V. Arutyunov, N. S. Bakhvalov, M. E. Bogovskii, V. S. Vladimirov, A. A. Dezin, V. A. Il'in, E. F. Mishchenko, V. P. Maslov, S. M. Nikol'skii, S. V. Uspenskii, V. M. Filippov
Uspekhi Mat. Nauk, 56:4(340) (2001),  129–132
51. Stanislav Nikolaevich Kruzhkov (obituary)
N. S. Bakhvalov, M. I. Zelikin, A. S. Kalashnikov, V. L. Kamynin, O. A. Oleinik, E. Yu. Panov, N. S. Petrosyan, V. M. Tikhomirov, A. V. Faminskii, V. N. Chubarikov
Uspekhi Mat. Nauk, 53:5(323) (1998),  213–220
52. Petr Lavrent'evich Ul'yanov (on his seventieth birthday)
N. S. Bakhvalov, O. V. Besov, S. M. Nikol'skii, M. K. Potapov
Uspekhi Mat. Nauk, 53:3(321) (1998),  211–220
53. Sergei Mikhailovich Kozlov (obituary)
N. S. Bakhvalov, A. Yu. Belyaev, M. I. Vishik, V. V. Zhikov, V. P. Maslov, O. A. Oleinik, G. P. Panasenko, A. L. Piatnitski
Uspekhi Mat. Nauk, 51:4(310) (1996),  145–146
54. Ol'ga Arsen'evna Oleinik (on her seventieth birthday)
N. S. Bakhvalov, S. P. Novikov, A. T. Fomenko
Uspekhi Mat. Nauk, 50:4(304) (1995),  177–186
55. Nikolai Nikolaevich Chentsov (obituary)
V. I. Arnol'd, N. S. Bakhvalov, K. V. Brushlinskii, I. M. Gel'fand, R. L. Dobrushin, A. V. Zabrodin, I. A. Ibragimov, S. P. Kurdyumov, S. P. Novikov, D. E. Okhotsimskii, Yu. V. Prokhorov, Yu. B. Radvogin, Ya. G. Sinai, R. Z. Khas'minskii, A. S. Holevo, A. N. Shiryaev, T. M. Eneev
Uspekhi Mat. Nauk, 48:2(290) (1993),  165–168
56. Memorial: Nikolai Nikolaevitch Chentsov
N. S. Bakhvalov, A. A. Borovkov, R. L. Dobrushin, A. V. Zabrodin, V. M. Zolotarev, I. A. Ibragimov, Yu. V. Prokhorov, B. A. Sevast'yanov, Ya. G. Sinai, A. V. Skorokhod, V. A. Statulyavichus, R. Z. Khas'minskii, A. S. Kholevo, D. M. Chibisov, A. N. Shiryaev
Teor. Veroyatnost. i Primenen., 38:3 (1993),  613–623
57. Sergei L'vovich Sobolev (on his eightieth birthday)
N. S. Bakhvalov, V. S. Vladimirov, A. A. Gonchar, L. D. Kudryavtsev, V. I. Lebedev, S. M. Nikol'skii, S. P. Novikov, O. A. Oleinik, Yu. G. Reshetnyak
Uspekhi Mat. Nauk, 43:5(263) (1988),  3–16
58. School-Seminar “Approximation Theory and Problems of Calculus Mathematics”
K. I. Babenko, N. S. Bakhvalov, V. M. Tikhomirov, V. B. Demidovich
Uspekhi Mat. Nauk, 42:4(256) (1987),  221–222
59. Meeting-seminar of heads of departments of applied and computational mathematics of universities
A. N. Tikhonov, N. S. Bakhvalov, O. Yu. Tikhomirov
Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 7,  86–88
60. Sergei L'vovich Sobolev (on his seventieth birthday)
P. S. Aleksandrov, R. A. Aleksandryan, V. M. Babich, N. S. Bakhvalov, O. V. Besov, L. V. Kantorovich, V. I. Lebedev, V. N. Maslennikova, O. A. Oleinik, S. V. Uspenskii
Uspekhi Mat. Nauk, 34:1(205) (1979),  3–15
61. All-Union Conference on Computational Mathematics
N. S. Bakhvalov, A. N. Tikhonov
Uspekhi Mat. Nauk, 20:3(123) (1965),  254–255
62. The all-union conference on computational mathematics
A. N. Tikhonov, N. S. Bakhvalov
Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965),  779–780

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018