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Publications in Math-Net.Ru |
Citations |
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2003 |
1. |
G. M. Vainikko, I. K. Lifanov, “Approaches to the summability of divergent multidimensional integrals”, Mat. Sb., 194:8 (2003), 25–54 ; Sb. Math., 194:8 (2003), 1137–1166 |
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2002 |
2. |
G. M. Vainikko, I. K. Lifanov, “On the Notion of the Finite Part of Divergent Integrals in Integral Equations”, Differ. Uravn., 38:9 (2002), 1233–1246 ; Differ. Equ., 38:9 (2002), 1313–1326 |
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3. |
G. M. Vainikko, N. V. Lebedeva, I. K. Lifanov, “Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function”, Mat. Sb., 193:10 (2002), 3–16 ; Sb. Math., 193:10 (2002), 1397–1410 |
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2000 |
4. |
G. M. Vainikko, I. K. Lifanov, “Modeling of aerodynamic and wave diffraction problems and extensions of Cauchy type integral operators on closed and open curves”, Differ. Uravn., 36:9 (2000), 1184–1195 ; Differ. Equ., 36:9 (2000), 1310–1322 |
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1991 |
5. |
G. M. Vainikko, “A piecewise-constant approximation of the solutions of multidimensional weakly singular integral equations”, Zh. Vychisl. Mat. Mat. Fiz., 31:6 (1991), 832–849 ; U.S.S.R. Comput. Math. Math. Phys., 31:6 (1991), 37–50 |
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1989 |
6. |
G. M. Vainikko, “On the smoothness of the solutions of multidimensional weakly singular integral equations”, Mat. Sb., 180:12 (1989), 1709–1723 ; Math. USSR-Sb., 68:2 (1991), 585–600 |
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1987 |
7. |
G. M. Vainikko, A. Pedas, “On solution of weakly singular integral equations by the method of mechanical quadratures”, Trudy Mat. Inst. Steklov., 180 (1987), 76–77 ; Proc. Steklov Inst. Math., 180 (1989), 86–87 |
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1985 |
8. |
G. M. Vaĭnikko, U. A. Khyamarik, “Projection methods and self-regularization in ill-posed problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 10, 3–17 ; Soviet Math. (Iz. VUZ), 29:10 (1985), 1–20 |
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9. |
G. M. Vainikko, “Error bounds in regularization methods for normally solvable problems”, Zh. Vychisl. Mat. Mat. Fiz., 25:10 (1985), 1443–1456 ; U.S.S.R. Comput. Math. Math. Phys., 25:5 (1985), 107–117 |
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1983 |
10. |
G. M. Vainikko, “The critical level of discrepancy in regularization methods”, Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983), 1283–1297 ; U.S.S.R. Comput. Math. Math. Phys., 23:6 (1983), 1–9 |
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1982 |
11. |
G. M. Vainikko, “The discrepancy principle for a class of regularization methods”, Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982), 499–515 ; U.S.S.R. Comput. Math. Math. Phys., 22:3 (1982), 1–19 |
63
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1980 |
12. |
G. M. Vainikko, “Error estimates of the successive approximation method for ill-posed problems”, Avtomat. i Telemekh., 1980, no. 3, 84–92 ; Autom. Remote Control, 41:3 (1980), 356–363 |
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1979 |
13. |
G. M. Vainikko, “Regular convergence of operators and the approximate solution of equations”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 16 (1979), 5–53 ; J. Soviet Math., 15:6 (1981), 675–705 |
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1978 |
14. |
G. M. Vainikko, A. L. Marshak, “The rate of convergence of the method of discrete ordinates in the problem of radiation transfer”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 11, 11–22 ; Soviet Math. (Iz. VUZ), 22:11 (1978), 5–14 |
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1977 |
15. |
G. M. Vaĭnikko, S. I. Piskarev, “Regularly compatible operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 10, 25–36 ; Soviet Math. (Iz. VUZ), 21:10 (1977), 18–27 |
1
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1976 |
16. |
G. M. Vainikko, È. È. Tamme, “Convergence of the difference method in the problem of periodic solutions of equations of elliptic type”, Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976), 652–664 |
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1975 |
17. |
G. M. Vainikko, P. È. Oja, “The convergence and rate of convergence of the Galerkin method for abstract evolution equations”, Differ. Uravn., 11:7 (1975), 1269–1277 |
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18. |
G. M. Vainikko, “The convergence of the difference method in the problem of periodic solutions of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975), 87–100 ; U.S.S.R. Comput. Math. Math. Phys., 15:1 (1975), 83–96 |
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1974 |
19. |
G. M. Vainikko, O. O. Karma, “The rate of convergence of approximation methods for an eigenvalue problem in which the parameter occurs nonlinearly”, Zh. Vychisl. Mat. Mat. Fiz., 14:6 (1974), 1393–1408 ; U.S.S.R. Comput. Math. Math. Phys., 14:6 (1974), 23–39 |
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20. |
G. M. Vainikko, O. O. Karma, “The convergence of approximate methods for the solution of linear and nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974), 828–837 ; U.S.S.R. Comput. Math. Math. Phys., 14:4 (1974), 9–19 |
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21. |
G. M. Vainikko, “Discretely compact sequences”, Zh. Vychisl. Mat. Mat. Fiz., 14:3 (1974), 572–583 ; U.S.S.R. Comput. Math. Math. Phys., 14:3 (1974), 32–43 |
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1971 |
22. |
G. M. Vainikko, “The convergence of the method of mechanical quadratures for integral equations with discontinuous kernels”, Sibirsk. Mat. Zh., 12:1 (1971), 40–53 ; Siberian Math. J., 12:1 (1971), 29–38 |
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23. |
G. M. Vainikko, “The convergence of quadrature difference methods for linear integro-differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 11:3 (1971), 770–776 ; U.S.S.R. Comput. Math. Math. Phys., 11:3 (1971), 292–301 |
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1969 |
24. |
G. M. Vainikko, “Compact approximation of operators and approximate solution of operator equations”, Dokl. Akad. Nauk SSSR, 189:2 (1969), 237–240 |
25. |
G. M. Vainikko, “The difference method for ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 9:5 (1969), 1057–1074 ; U.S.S.R. Comput. Math. Math. Phys., 9:5 (1969), 96–120 |
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26. |
G. M. Vainikko, “The compact approximation principle in the theory of approximation methods”, Zh. Vychisl. Mat. Mat. Fiz., 9:4 (1969), 739–761 ; U.S.S.R. Comput. Math. Math. Phys., 9:4 (1969), 1–32 |
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27. |
G. M. Vainikko, “The connection between the mechanical quadrature and finite difference methods”, Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969), 259–270 ; U.S.S.R. Comput. Math. Math. Phys., 9:2 (1969), 1–16 |
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1968 |
28. |
G. M. Vainikko, “Similar operators”, Dokl. Akad. Nauk SSSR, 179:5 (1968), 1029–1031 |
29. |
G. M. Vainikko, Yu. B. Umanskii, “Regular operators”, Funktsional. Anal. i Prilozhen., 2:2 (1968), 87–88 ; Funct. Anal. Appl., 2:2 (1968), 175–176 |
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30. |
G. Vainikko, “The speed of convergence of the method of moments for ordinary differential equations”, Sibirsk. Mat. Zh., 9:1 (1968), 21–28 ; Siberian Math. J., 9:1 (1968), 15–20 |
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31. |
G. M. Vainikko, A. M. Dement'eva, “The rate of convergence of the method of mechanical quadratures in an eigenvalue problem”, Zh. Vychisl. Mat. Mat. Fiz., 8:5 (1968), 1105–1110 ; U.S.S.R. Comput. Math. Math. Phys., 8:5 (1968), 226–234 |
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1967 |
32. |
G. M. Vainikko, “On the speed of convergence of approximate methods in the eigenvalue problem”, Zh. Vychisl. Mat. Mat. Fiz., 7:5 (1967), 977–987 ; U.S.S.R. Comput. Math. Math. Phys., 7:5 (1967), 18–32 |
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33. |
G. M. Vainikko, “Galerkin's perturbation method and the general theory of approximate methods for non-linear equations”, Zh. Vychisl. Mat. Mat. Fiz., 7:4 (1967), 723–751 ; U.S.S.R. Comput. Math. Math. Phys., 7:4 (1967), 1–41 |
103
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1966 |
34. |
G. M. Vainikko, “On the rate of convergence of certain approximation methods of Galerkin type in eigenvalue problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 2, 37–45 |
35. |
G. M. Vainikko, “On the convergence of the collocation method for nonlinear differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966), 35–42 ; U.S.S.R. Comput. Math. Math. Phys., 6:1 (1966), 47–58 |
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1965 |
36. |
G. M. Vainikko, “On convergence and stability of the collocation method”, Differ. Uravn., 1:2 (1965), 244–254 |
37. |
G. Vainikko, “Estimates of the error of the Bubnov–Galerkin method in an eigenvalue problem”, Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965), 587–607 ; U.S.S.R. Comput. Math. Math. Phys., 5:4 (1965), 1–31 |
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1964 |
38. |
G. M. Vainikko, “Asymptotic evaluations of the error of projection methods for the eigenvalue problem”, Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964), 405–425 ; U.S.S.R. Comput. Math. Math. Phys., 4:3 (1964), 9–36 |
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1976 |
39. |
G. M. Vainikko, “Linear operators and approximation: P. L. Butzer, B. Sz.-Nagy (Editors). II. Birkhäuser, Basel–Stuttgart. 588 p. 1974. Book review”, Zh. Vychisl. Mat. Mat. Fiz., 16:5 (1976), 1368 ; U.S.S.R. Comput. Math. Math. Phys., 16:5 (1976), 277 |
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1975 |
40. |
G. M. Vainikko, “Numerische Behandlung von Eigenwertaufgaben: L. Collatz and K. P. Hadeler (Editors). 142 p. Birkhauser Verlag, Basel-Stuttgart, 1974. Book Review”, Zh. Vychisl. Mat. Mat. Fiz., 15:2 (1975), 536 ; U.S.S.R. Comput. Math. Math. Phys., 15:2 (1975), 252 |
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1973 |
41. |
G. M. Vainikko, “Numerische Methoden der Approximationstheorie: L. Collatz and G. Meinardus, Editors. Band 1. 246 p. Birkhäuser, Basel–Stuttgart, 1972. Book review”, Zh. Vychisl. Mat. Mat. Fiz., 13:5 (1973), 1357 ; U.S.S.R. Comput. Math. Math. Phys., 13:5 (1973), 327 |
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1971 |
42. |
G. Vainikko, “Iterationsverfahren. Numerische Mathematik. Approximationstheorie. Ed. L. Ñîllatz, G. Meinardus, H. Unger, H. Werner. Basel–Stuttgart, Birkhäuser Verlag, 1970, 257 S. (Book review)”, Zh. Vychisl. Mat. Mat. Fiz., 11:4 (1971), 1087 ; U.S.S.R. Comput. Math. Math. Phys., 11:4 (1971), 346–347 |
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1970 |
43. |
G. Vainikko, “Funktionalanalytische Methoden der numerischen Mathematik. Ed. L. Collatz, H. Unger. Basel–Stuttgart, Birkhäuser Verlag, 1969, 144 S. (Book review)”, Zh. Vychisl. Mat. Mat. Fiz., 10:2 (1970), 543–544 ; U.S.S.R. Comput. Math. Math. Phys., 10:2 (1970), 373 |
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