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Mikhlin, Solomon Grigor'evich
(1908–1990)

Statistics Math-Net.Ru
Total publications: 62
Scientific articles: 50

Number of views:
This page:3782
Abstract pages:25928
Full texts:15503
References:158
Professor
Doctor of physico-mathematical sciences (1935)
Birth date: 23.04.1908

https://www.mathnet.ru/eng/person22344
https://ru.wikipedia.org/wiki/Mikhlin_Solomon_Grigorevich
List of publications on Google Scholar
https://zbmath.org/authors/ai:mikhlin.solomon-grigorevich
https://mathscinet.ams.org/mathscinet/MRAuthorID/198715

Publications in Math-Net.Ru Citations
1987
1. S. G. Michlin, “Error estimates of A.I. Koshelev's universal process for finite-dimensional systems of equations”, Zap. Nauchn. Sem. LOMI, 159 (1987),  128–131  mathnet  zmath
1984
2. S. G. Mikhlin, “Errors for the Gauss method of solution of linear algebraic systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 2,  43–48  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:2 (1984), 59–67
3. S. G. Mikhlin, “Errors of solutions of linear algebraic systems”, Zap. Nauchn. Sem. LOMI, 139 (1984),  94–110  mathnet  mathscinet  zmath; J. Soviet Math., 36:2 (1987), 240–251
1981
4. S. G. Mikhlin, “Errors of computing processes. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 8,  32–38  mathnet  mathscinet  zmath
5. S. G. Mikhlin, “Errors of computing processes. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 7,  62–71  mathnet  mathscinet  zmath
6. S. G. Mikhlin, “Error of the Bubnov–Galerkin method for elliptic boundary-value problems”, Zap. Nauchn. Sem. LOMI, 111 (1981),  137–144  mathnet  mathscinet  zmath; J. Soviet Math., 24:1 (1984), 89–94
1980
7. S. G. Mikhlin, “The approximate solution of one-sided variational problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 2,  45–58  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 24:2 (1980), 45–59
8. S. G. Mikhlin, “On the stability of solutions of unilateral variational problems with application to the plasticity theory”, Zap. Nauchn. Sem. LOMI, 102 (1980),  68–101  mathnet  mathscinet  zmath; J. Soviet Math., 22:2 (1983), 1207–1225
1979
9. S. G. Mikhlin, “On the minimal constant of continuation of functions of Sobolev classes”, Zap. Nauchn. Sem. LOMI, 90 (1979),  150–185  mathnet  mathscinet  zmath; J. Soviet Math., 20:2 (1982), 2011–2036
1978
10. S. G. Mikhlin, “Equivalent norms in Sobolev spaces and the norm of the extension operator”, Sibirsk. Mat. Zh., 19:5 (1978),  1141–1153  mathnet  mathscinet  zmath; Siberian Math. J., 19:5 (1979), 804–813  isi
11. S. G. Mikhlin, “The constant factor in error estimates of the variational-difference approximation”, Zap. Nauchn. Sem. LOMI, 80 (1978),  125–166  mathnet  mathscinet  zmath; J. Soviet Math., 28:3 (1985), 360–386
1977
12. S. G. Mikhlin, V. D. Sapoznikova, “The method of potentials in a mixed problem for the wave equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 10,  100–108  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:10 (1977), 82–89 1
13. S. G. Mikhlin, V. D. Sapozhnikov, “Potentials of the wave equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 9,  48–64  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:9 (1977), 39–51 1
1976
14. S. G. Mikhlin, “Operator power series”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 2,  33–38  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 20:2 (1976), 29–34
15. S. G. Mikhlin, “Remarks on the resolvent method”, Zap. Nauchn. Sem. LOMI, 58 (1976),  5–14  mathnet  mathscinet  zmath; J. Soviet Math., 13:2 (1980), 187–194 1
1974
16. S. G. Mikhlin, R. K. Radaeva, “The approximate solution of singular integral equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 5,  158–162  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 18:5 (1974), 132–136 2
17. S. G. Mikhlin, “Variational-difference approximation”, Zap. Nauchn. Sem. LOMI, 48 (1974),  32–188  mathnet  mathscinet  zmath 6
1973
18. S. G. Mikhlin, “On a class of coordinate functions for the variational-difference method”, Dokl. Akad. Nauk SSSR, 211:5 (1973),  1057–1059  mathnet  mathscinet  zmath 2
19. S. G. Mikhlin, “Some approximation problems in the variational-difference method”, Dokl. Akad. Nauk SSSR, 209:2 (1973),  299–301  mathnet  mathscinet  zmath 2
20. S. G. Mikhlin, “The spectrum of a family of operators in the theory of elasticity”, Uspekhi Mat. Nauk, 28:3(171) (1973),  43–82  mathnet  mathscinet  zmath; Russian Math. Surveys, 28:3 (1973), 45–88 37
21. S. G. Mikhlin, “On the minimal number of the initial functions in the variational difference method”, Zap. Nauchn. Sem. LOMI, 35 (1973),  103–105  mathnet  mathscinet  zmath 2
22. S. G. Mikhlin, “Approximation on a radial-annular net”, Zap. Nauchn. Sem. LOMI, 35 (1973),  95–102  mathnet  mathscinet  zmath 2
23. Yu. K. Demjanovich, S. G. Mikhlin, “On a net approximation of functions of Sobolev spaces”, Zap. Nauchn. Sem. LOMI, 35 (1973),  6–11  mathnet  mathscinet  zmath 4
1971
24. S. G. Mikhlin, “On coordinate systems for the variational difference method”, Dokl. Akad. Nauk SSSR, 200:3 (1971),  526–529  mathnet  mathscinet  zmath 3
25. S. G. Mikhlin, “On the variational-difference method for one-dimensional boundary value problems”, Dokl. Akad. Nauk SSSR, 198:1 (1971),  39–41  mathnet  mathscinet  zmath 2
26. S. G. Michlin, “On the difference-variational method for the multidimensional boundary value problems”, Zap. Nauchn. Sem. LOMI, 23 (1971),  99–114  mathnet  mathscinet  zmath 3
1968
27. S. Michlin, “Certain properties of polynomial Ritz approximations”, Dokl. Akad. Nauk SSSR, 180:2 (1968),  276–278  mathnet  mathscinet  zmath 1
1967
28. Yu. S. Verzbinskaya, N. P. Kanareva, S. G. Michlin, B. A. Samokish, “Solution of a three-dimensional problem of the theory of elasticity by Ritz's method”, Zh. Vychisl. Mat. Mat. Fiz., 7:5 (1967),  1134–1143  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:5 (1967), 224–235 1
1966
29. S. G. Mikhlin, “Computation of the index of a system of one-dimensional singular equations”, Dokl. Akad. Nauk SSSR, 168:6 (1966),  1248–1250  mathnet  mathscinet  zmath 1
1964
30. S. G. Mikhlin, “On the stability of certain computational processes”, Dokl. Akad. Nauk SSSR, 157:2 (1964),  271–273  mathnet  mathscinet  zmath 1
1963
31. S. G. Mikhlin, “On the index of a system of singular equations”, Dokl. Akad. Nauk SSSR, 152:3 (1963),  555–558  mathnet  mathscinet  zmath 1
1962
32. S. G. Mikhlin, “The Ritz method for non-linear problems”, Dokl. Akad. Nauk SSSR, 142:4 (1962),  792–793  mathnet  mathscinet  zmath 1
33. S. G. Michlin, “On the rational choice of coordinate functions in Ritz's method”, Zh. Vychisl. Mat. Mat. Fiz., 2:3 (1962),  437–444  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 2:3 (1963), 461–468 1
1961
34. S. G. Mikhlin, “Singular integral equations in Lipschitz function classes”, Dokl. Akad. Nauk SSSR, 138:3 (1961),  541–544  mathnet  mathscinet  zmath 1
35. L. N. Gagen-Torn, S. G. Mikhlin, “On the solvability of non-linear Ritz systems”, Dokl. Akad. Nauk SSSR, 138:2 (1961),  258–260  mathnet  mathscinet  zmath 2
1960
36. S. G. Mikhlin, “The stability of the Ritz method”, Dokl. Akad. Nauk SSSR, 135:1 (1960),  16–19  mathnet  mathscinet  zmath 1
37. S. G. Mikhlin, “Remarks on the solution of multidimensional singular integral equations”, Dokl. Akad. Nauk SSSR, 131:5 (1960),  1019–1021  mathnet  mathscinet  zmath
38. S. G. Mikhlin, “On the convergence of a direct method”, Uspekhi Mat. Nauk, 15:1(91) (1960),  221–223  mathnet  mathscinet  zmath 1
1958
39. S. G. Mikhlin, “Remarks on coordinate functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 5,  91–94  mathnet  mathscinet  zmath 1
1957
40. S. G. Mikhlin, “Singular integrals in $L_p$ spaces”, Dokl. Akad. Nauk SSSR, 117:1 (1957),  28–31  mathnet  mathscinet  zmath 1
1951
41. S. G. Mikhlin, “On an inequality for the boundary of harmonic functions”, Uspekhi Mat. Nauk, 6:6(46) (1951),  158–159  mathnet  mathscinet  zmath
1950
42. S. G. Mikhlin, “Variational methods of solution of problems of mathematical physics”, Uspekhi Mat. Nauk, 5:6(40) (1950),  3–51  mathnet  mathscinet  zmath
1948
43. S. G. Mikhlin, “Singular integral equations”, Uspekhi Mat. Nauk, 3:3(25) (1948),  29–112  mathnet  mathscinet 9
1938
44. S. Michlin, “Le problème d'équivalence dans la théorie des équations intégrates singulières”, Rec. Math. [Mat. Sbornik] N.S., 3(45):1 (1938),  121–141  mathnet  zmath
1937
45. S. G. Mikhlin, “The current state of the mathematical theory of plasticity”, Uspekhi Mat. Nauk, 1937, no. 3,  175–193  mathnet 1
1936
46. S. Michlin, “Complément à l'article "Équations intégrales singulières à deux variables indépendantes”, Rec. Math. [Mat. Sbornik] N.S., 1(43):6 (1936),  963–964  mathnet  zmath 1
47. S. Michlin, “Équations intégrales singulières à deux variables indépendantes”, Rec. Math. [Mat. Sbornik] N.S., 1(43):4 (1936),  535–552  mathnet  zmath 2
1934
48. S. Michlin, “Quelques remarques relatives à la solution des problèmes plans d'èlasticité”, Mat. Sb., 41:3 (1934),  408–420  mathnet  zmath 2
49. S. Michlin, “La théorème de l'unicité relatif au problème biharmonique fondamental”, Mat. Sb., 41:2 (1934),  284–291  mathnet  zmath
1932
50. S. G. Michlin, “Sur la convergence uniforme des séries de fonctions analytiques”, Mat. Sb., 39:3 (1932),  88–96  mathnet  zmath 1

1987
51. M. I. Vishik, E. M. Landis, S. G. Mikhlin, O. A. Oleinik, I. V. Skripnik, “Aleksandr Ivanovich Koshelev (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 42:5(257) (1987),  225–226  mathnet  mathscinet; Russian Math. Surveys, 42:5 (1987), 185–187  isi 1
1976
52. S. G. Mikhlin, “Variation-difference approximation”, Zap. Nauchn. Sem. LOMI, 58 (1976),  155–156  mathnet  mathscinet; J. Soviet Math., 13:2 (1980), 312
1968
53. O. A. Ladyzhenskaya, S. M. Lozinskii, S. G. Mikhlin, “Vladimir Ivanovich Smirnov (on his eightieth birthday)”, Uspekhi Mat. Nauk, 23:4(142) (1968),  255–267  mathnet  mathscinet  zmath; Russian Math. Surveys, 23:4 (1968), 181–199
1963
54. S. G. Mikhlin, “Partial differential equations at the Prague Conference on Differential Equations”, Uspekhi Mat. Nauk, 18:2(110) (1963),  197–199  mathnet 1
55. S. G. Mikhlin, “Н. Sagап. Boundary and eigenvalue problems in mathematical physics. Book Review”, Zh. Vychisl. Mat. Mat. Fiz., 3:5 (1963),  972–975  mathnet; U.S.S.R. Comput. Math. Math. Phys., 3:5 (1963), 1330–1335
1960
56. S. G. Mikhlin, “Поправки к статье “Замечания о решении многомерных сингулярных интегральных уравнений” (ДАН, т. 131, № 5, 1960 г.)”, Dokl. Akad. Nauk SSSR, 133:5 (1960),  998  mathnet 1
1953
57. S. G. Mikhlin, “Concerning a theorem on boundedness of a singular integral operator”, Uspekhi Mat. Nauk, 8:1(53) (1953),  213–217  mathnet  mathscinet 1
1951
58. S. G. Mikhlin, “V. D. Kupradze, Boundary problems of the theory of vibrations and integral equations (review)”, Uspekhi Mat. Nauk, 6:5(45) (1951),  206–207  mathnet  mathscinet
1950
59. S. G. Mikhlin, “I. G. Petrovskii, Lectures on the theory of integral equations (review)”, Uspekhi Mat. Nauk, 5:4(38) (1950),  185–186  mathnet  mathscinet
60. S. G. Mikhlin, “L. V. Kantorovich, V. I. Krylov, Approximate methods of higher analysis (review)”, Uspekhi Mat. Nauk, 5:4(38) (1950),  183–185  mathnet  mathscinet
1947
61. S. G. Mikhlin, “N. I. Muskhelishvili, Singular integral equations (review)”, Uspekhi Mat. Nauk, 2:2(18) (1947),  235–237  mathnet  mathscinet
1936
62. S. L. Sobolev, S. G. Mikhlin, “Mathematical Seismology in the USSR”, Uspekhi Mat. Nauk, 1936, no. 1,  228–255  mathnet 1

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