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Bakushinskii, Anatolii Borisovich
Statistics Math-Net.Ru
Total publications: 68
Scientific articles: 66
Presentations: 1

Number of views:
This page:4546
Abstract pages:17438
Full texts:7110
References:1398
Professor
Doctor of physico-mathematical sciences
Birth date: 28.03.1937
E-mail:

https://www.mathnet.ru/eng/person24754
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/211172
https://elibrary.ru/author_items.asp?authorid=4450
ISTINA https://istina.msu.ru/workers/337893549

Publications in Math-Net.Ru Citations
2022
1. M. Yu. Kokurin, A. B. Bakushinsky, “On the achievable level of accuracy in solving abstract ill-posed problems and nonlinear operator equations in Banach space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3,  21–27  mathnet; Russian Math. (Iz. VUZ), 66:3 (2022), 16–21
2. A. B. Bakushinsky, A. S. Leonov, “Computing magnifier for refining the position and shape of three-dimensional objects in acoustic sensing”, Matem. Mod., 34:5 (2022),  3–26  mathnet  mathscinet; Math. Models Comput. Simul., 14:6 (2022), 955–971
3. A. B. Bakushinskii, A. S. Leonov, “Fast solution algorithm for a three-dimensional inverse multifrequency problem of scalar acoustics with data in a cylindrical domain”, Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022),  289–304  mathnet  elib; Comput. Math. Math. Phys., 62:2 (2022), 287–301  isi  scopus 5
2020
4. A. B. Bakushinskii, A. S. Leonov, “Numerical solution of an inverse multifrequency problem in scalar acoustics”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  1013–1026  mathnet  elib; Comput. Math. Math. Phys., 60:6 (2020), 987–999  isi  scopus 9
5. A. B. Bakushinskii, M. Yu. Kokurin, M. M. Kokurin, “Direct and converse theorems for iterative methods of solving irregular operator equations and finite difference methods for solving ill-posed Cauchy problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  939–962  mathnet  elib; Comput. Math. Math. Phys., 60:6 (2020), 915–937  isi  scopus 5
2019
6. A. B. Bakushinsky, A. S. Leonov, “Numerical solution to a three-dimensional coefficient inverse problem for the wave equation with integral data in a cylindrical domain”, Sib. Zh. Vychisl. Mat., 22:4 (2019),  381–397  mathnet; Num. Anal. Appl., 12:4 (2019), 311–325  isi 1
2018
7. A. B. Bakushinskii, A. S. Leonov, “Low-cost numerical method for solving a coefficient inverse problem for the wave equation in three-dimensional space”, Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018),  561–574  mathnet  elib; Comput. Math. Math. Phys., 58:4 (2018), 548–561  isi  scopus 13
2016
8. A. B. Bakushinskii, M. Yu. Kokurin, “Iteratively regularized Gauss–Newton method for operator equations with normally solvable derivative at the solution”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 8,  3–11  mathnet; Russian Math. (Iz. VUZ), 60:8 (2016), 1–8  isi  scopus 6
2015
9. A. B. Bakushinskii, M. Yu. Kokurin, “Iterative methods of stochastic approximation for solving non-regular nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1637–1645  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:10 (2015), 1597–1605  isi  elib  scopus 2
2014
10. A. B. Bakushinskii, A. S. Leonov, “New a posteriori error estimates for approximate solutions to iregular operator equations”, Num. Meth. Prog., 15:2 (2014),  359–369  mathnet 4
2012
11. A. B. Bakushinskii, M. M. Kokurin, M. Yu. Kokurin, “On a complete discretization scheme for an ill-posed Cauchy problem in a Banach space”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  96–108  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 53–65  isi  scopus 11
12. A. B. Bakushinskii, M. M. Kokurin, M. Yu. Kokurin, “On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012),  483–498  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 52:3 (2012), 411–426  isi  elib  scopus 9
2010
13. A. B. Bakushinskii, M. Yu. Kokurin, V. V. Klyuchev, “Convergence rate estimation for finite-difference methods of solving the ill-posed Cauchy problem for second-order linear differential equations in a Banach space”, Num. Meth. Prog., 11:1 (2010),  25–31  mathnet 3
2006
14. A. B. Bakushinskii, M. Yu. Kokurin, V. V. Klyuchev, “A rate of convergence and error estimates for difference methods used to approximate solutions to ill-posed Cauchy problems in a Banach space”, Num. Meth. Prog., 7:2 (2006),  163–171  mathnet 7
2004
15. A. B. Bakushinskii, M. Yu. Kokurin, “Continuous methods for stable approximation of solutions to nonlinear equations in the Banach space based on the regularized Newton–Kantarovich scheme”, Sib. Zh. Vychisl. Mat., 7:1 (2004),  1–12  mathnet  zmath 1
16. A. B. Bakushinskii, “An iteratively regularized gradient method for solving nonlinear irregular equations”, Zh. Vychisl. Mat. Mat. Fiz., 44:5 (2004),  805–811  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:5 (2004), 759–765 4
2003
17. A. B. Bakushinskii, M. Yu. Kokurin, A. I. Kozlov, “Stable gradient design method for inverse problem of gravimetry”, Matem. Mod., 15:7 (2003),  37–45  mathnet  mathscinet  zmath
18. A. B. Bakushinskii, A. I. Kozlov, M. Yu. Kokurin, “On some inverse problem for a three-dimensional wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 43:8 (2003),  1201–1209  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:8 (2003), 1149–1158 12
2002
19. A. B. Bakushinskii, M. Yu. Kokurin, N. A. Yusupova, “Iterative Newton-type methods with projecting for solution of nonlinear ill-posed operator equations”, Sib. Zh. Vychisl. Mat., 5:2 (2002),  101–111  mathnet  zmath 2
20. A. B. Bakushinskii, “Convergence rate of iterative regularization algorithms for linear problems with convex constraints”, Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002),  933–936  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:7 (2002), 897–900 2
2001
21. A. B. Bakushinskii, M. Yu. Kokurin, N. A. Yusupova, “On iterative methods of gradient type for solving nonlinear ill-posed equations”, Sib. Zh. Vychisl. Mat., 4:4 (2001),  317–329  mathnet  zmath 2
22. A. B. Bakushinskii, M. Yu. Kokurin, “Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part II”, Num. Meth. Prog., 2:1 (2001),  65–91  mathnet
2000
23. A. B. Bakushinskii, M. Yu. Kokurin, “Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part I”, Num. Meth. Prog., 1:1 (2000),  62–82  mathnet 2
24. A. B. Bakushinskii, “Gradient-type iterative methods with projection onto a fixed subspace for solving irregular operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 40:10 (2000),  1447–1450  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:10 (2000), 1387–1390 6
25. A. B. Bakushinskii, M. Yu. Kokurin, N. A. Yusupova, “Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000),  986–996  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:7 (2000), 945–954 5
1999
26. A. B. Bakushinskii, M. Yu. Kokurin, “Iterative regularization algorithms for monotone variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 39:4 (1999),  553–560  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 39:4 (1999), 525–532 1
1998
27. A. B. Bakushinskii, “Iterative methods of gradient type of irregular operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 38:12 (1998),  1962–1966  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:12 (1998), 1884–1887 7
28. A. B. Bakushinskii, “On the rate of convergence of iterative processes for nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 38:4 (1998),  559–563  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:4 (1998), 538–542 9
1997
29. A. B. Bakushinskii, “Iterative methods for the solution of nonlinear operator equations without the property of the regularity”, Fundam. Prikl. Mat., 3:3 (1997),  685–692  mathnet  mathscinet  zmath 9
1996
30. A. B. Bakushinskiĭ, “Linear approximation of the solutions of nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 36:9 (1996),  6–12  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:9 (1996), 1169–1174  isi 1
1995
31. A. B. Bakushinskii, “Iterative methods without saturation for solving degenerate nonlinear operator equations”, Dokl. Akad. Nauk, 344:1 (1995),  7–8  mathnet  mathscinet  zmath 8
1994
32. A. B. Bakushinskiĭ, “Note on the regularizing properties of methods of conjugate directions”, Zh. Vychisl. Mat. Mat. Fiz., 34:3 (1994),  481–483  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:3 (1994), 407–408  isi
1993
33. A. B. Bakushinskii, “Iterative methods for solving nonlinear operator equations without regularity. A new approach”, Dokl. Akad. Nauk, 330:3 (1993),  282–284  mathnet  mathscinet  zmath; Dokl. Math., 47:3 (1993), 451–454 3
1992
34. A. B. Bakushinskii, “The problem of the convergence of the iteratively regularized Gauss–Newton method”, Zh. Vychisl. Mat. Mat. Fiz., 32:9 (1992),  1503–1509  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:9 (1992), 1353–1359  isi 8
1990
35. N. Yu. Bakaev, A. B. Bakushinskii, “On the theory of approximate methods for solving an ill-posed abstract Cauchy problem”, Dokl. Akad. Nauk SSSR, 312:4 (1990),  777–782  mathnet  mathscinet  zmath; Dokl. Math., 41:3 (1990), 475–480 1
1988
36. A. B. Bakushinskii, A. V. Goncharsky, S. Yu. Levitan, “Fast linear iterative algorithms of image restoration”, Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988),  933–937  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 210–213 1
1987
37. A. B. Bakushinskii, V. N. Trushnikov, “Rough conjugate directions methods”, Zh. Vychisl. Mat. Mat. Fiz., 27:12 (1987),  1763–1770  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 105–109 1
38. A. B. Bakushinskii, “Iterative regularizing algorithms for nonlinear problems”, Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987),  617–621  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 196–199
1984
39. A. B. Bakushinskii, “Remarks on the choice of regularization parameter from quasioptimality and relation tests”, Zh. Vychisl. Mat. Mat. Fiz., 24:8 (1984),  1258–1259  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 181–182 105
1983
40. A. B. Bakushinskii, “An asymptotic relation for the iteratively regularized Newton–Kantorovich method”, Zh. Vychisl. Mat. Mat. Fiz., 23:1 (1983),  216–218  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 23:1 (1983), 152–153
1982
41. A. B. Bakushinskii, “Principle of the residual in the case of a perturbed operator for general regularizing algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 22:4 (1982),  989–993  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:4 (1982), 225–230 1
42. A. B. Bakushinskii, V. S. Sizikov, “Some nonstandard regularizing algorithms and their numerical realization”, Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  532–539  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:3 (1982), 37–44 1
1979
43. A. B. Bakushinskii, “Equivalent transformations of variational inequalities and their use”, Dokl. Akad. Nauk SSSR, 247:6 (1979),  1297–1300  mathnet  mathscinet  zmath
44. A. B. Bakushinskii, “On the principle of iterative regularization”, Zh. Vychisl. Mat. Mat. Fiz., 19:4 (1979),  1040–1043  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:4 (1979), 256–260 4
1978
45. A. B. Bakushinskii, “Optimal and quasi-optimal methods for the solution of linear problems that are generated by regularizing algorithms”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 11,  6–10  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:11 (1978), 1–4 2
1977
46. A. B. Bakushinskii, “Methods for the solution of monotone variational inequalities that are based on the principle of iterative regularization”, Zh. Vychisl. Mat. Mat. Fiz., 17:6 (1977),  1350–1362  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:6 (1977), 12–24 22
1976
47. A. B. Bakushinskii, “A regularizing algorithm on the basis of the Newton–Kantorovič method for the solution of variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 16:6 (1976),  1397–1404  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:6 (1976), 16–23 7
48. A. B. Bakushinskii, “The stability and domain of convergence of certain regularizing algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 16:1 (1976),  228–232  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:1 (1976), 219–224 3
1975
49. A. B. Bakushinskii, A. S. Apartsyn, “Methods of stochastic approximation type for the solution of linear ill-posed problems”, Sibirsk. Mat. Zh., 16:1 (1975),  12–18  mathnet  mathscinet  zmath; Siberian Math. J., 16:1 (1975), 9–14  isi 2
1974
50. A. B. Bakushinskii, B. T. Polyak, “On the solution of variational inequalities”, Dokl. Akad. Nauk SSSR, 219:5 (1974),  1038–1041  mathnet  mathscinet  zmath 6
1973
51. A. B. Bakushinskii, “A remark on a class of regularizing algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 13:6 (1973),  1596–1598  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:6 (1973), 278–282
52. A. B. Bakushinskii, “The problem of constructing linear regularizing algorithms in Banach spaces”, Zh. Vychisl. Mat. Mat. Fiz., 13:1 (1973),  204–210  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:1 (1973), 261–270 5
1972
53. A. B. Bakushinskii, “Difference methods of solving ill-posed Cauchy problems for evolution equations in a complex $B$-space”, Differ. Uravn., 8:9 (1972),  1661–1668  mathnet  mathscinet  zmath 8
54. A. B. Bakushinskii, “The solution by difference methods of an ill-posed Cauchy problem for a second order abstract differential equation”, Differ. Uravn., 8:5 (1972),  881–890  mathnet  mathscinet  zmath
1971
55. A. B. Bakushinskii, “Difference schemes for the solution of ill-posed abstract Cauchy problems”, Differ. Uravn., 7:10 (1971),  1876–1885  mathnet  mathscinet 3
56. A. B. Bakushinskii, “Stabilization of solutions of linear differential equations in Hilbert space”, Mat. Zametki, 9:4 (1971),  415–420  mathnet  mathscinet  zmath; Math. Notes, 9 (1971), 239–242
1970
57. A. B. Bakushinskii, “Remarks on the Kupradze–Aleksidze method”, Differ. Uravn., 6:7 (1970),  1298–1301  mathnet  mathscinet  zmath
58. A. B. Bakushinskii, “On extending the principle of the residual”, Zh. Vychisl. Mat. Mat. Fiz., 10:1 (1970),  210–213  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:1 (1970), 288–293 1
1969
59. A. B. Bakushinskii, “The construction of regularizing algorithms in the case of random noise”, Dokl. Akad. Nauk SSSR, 189:2 (1969),  231–233  mathnet  mathscinet  zmath 3
1968
60. A. B. Bakushinskii, “Regularization algorithms for linear equations with unbounded operators”, Dokl. Akad. Nauk SSSR, 183:1 (1968),  12–14  mathnet  mathscinet  zmath
61. A. B. Bakushinskii, “Some properties of regularizing algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 8:2 (1968),  426–429  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:2 (1968), 254–259
62. A. B. Bakushinskii, V. N. Strakhov, “The solution of some integral equations of the first kind by the method of successive approximation”, Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968),  181–185  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:1 (1968), 250–256 2
1967
63. A. B. Bakushinskii, “A general method of constructing regularizing algorithms for a linear incorrect equation in Hilbert space”, Zh. Vychisl. Mat. Mat. Fiz., 7:3 (1967),  672–677  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:3 (1967), 279–287 34
1965
64. A. B. Bakushinskii, “A numerical method for solving Fredholm integral equations of the 1st kind”, Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965),  744–749  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 5:4 (1965), 226–233 18
1963
65. A. B. Bakushinskii, “A method of solving “degenerate” and “almost degenerate” linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 3:6 (1963),  1113–1114  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 3:6 (1963), 1522–1524
66. V. K. Vlasov, A. B. Bakushinskii, “The method of potentials and the numerical solution of Dirichlet' s problem for the Laplace equation”, Zh. Vychisl. Mat. Mat. Fiz., 3:3 (1963),  574–580  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 3:3 (1963), 767–776 3
1999
67. A. A. Bakushinskii, “Correction to: “On the problem of linear approximation of solutions of nonlinear operator equations””, Zh. Vychisl. Mat. Mat. Fiz., 39:4 (1999),  704  mathnet  mathscinet; Comput. Math. Math. Phys., 39:4 (1999), 674
1964
68. A. B. Bakushinskii, S. S. Gaysaryan, A. D. Gorbunov, “Numerical solution of ordinary and partial differential equation. Ed. L. Fox . Book Review”, Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964),  615–617  mathnet; U.S.S.R. Comput. Math. Math. Phys., 4:3 (1964), 321–324

Presentations in Math-Net.Ru
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A. B. Bakushinskii
PreMoLab Seminar
December 11, 2013 17:00   

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