Persons: Vainikko, Gennadii M

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Vainikko, Gennadii M

Statistics Math-Net.Ru
Total publications:	43
Scientific articles:	38

Number of views:
This page:	2204
Abstract pages:	9318
Full texts:	5088
References:	215

https://www.mathnet.ru/eng/person12236

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/176545

	Publications in Math-Net.Ru	Citations
	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	3
	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	9
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	8
	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	4
	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	2
	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	18
	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
	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	4
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	4
	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	13
	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
	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	2
	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	30
	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
	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
	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
	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	14
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	1
	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	23
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	8
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	2
	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	12
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	3
	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	3
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	3
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	2
	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	2
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	3
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	2
	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	32
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
	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	19
	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	8
	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	17

	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
	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
	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
	1971
42.	G. Vainikko, “Iterationsverfahren. Numerische Mathematik. Approximationstheorie. Ed. L. Соllatz, 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
	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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