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Vainikko Gennadii M

Publications in Math-Net.Ru

  1. Approaches to the summability of divergent multidimensional integrals

    Mat. Sb., 194:8 (2003),  25–54
  2. On the Notion of the Finite Part of Divergent Integrals in Integral Equations

    Differ. Uravn., 38:9 (2002),  1233–1246
  3. Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function

    Mat. Sb., 193:10 (2002),  3–16
  4. 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
  5. A piecewise-constant approximation of the solutions of multidimensional weakly singular integral equations

    Zh. Vychisl. Mat. Mat. Fiz., 31:6 (1991),  832–849
  6. On the smoothness of the solutions of multidimensional weakly singular integral equations

    Mat. Sb., 180:12 (1989),  1709–1723
  7. On solution of weakly singular integral equations by the method of mechanical quadratures

    Trudy Mat. Inst. Steklov., 180 (1987),  76–77
  8. Projection methods and self-regularization in ill-posed problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 10,  3–17
  9. Error bounds in regularization methods for normally solvable problems

    Zh. Vychisl. Mat. Mat. Fiz., 25:10 (1985),  1443–1456
  10. The critical level of discrepancy in regularization methods

    Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983),  1283–1297
  11. The discrepancy principle for a class of regularization methods

    Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  499–515
  12. Error estimates of the successive approximation method for ill-posed problems

    Avtomat. i Telemekh., 1980, no. 3,  84–92
  13. Regular convergence of operators and the approximate solution of equations

    Itogi Nauki i Tekhn. Ser. Mat. Anal., 16 (1979),  5–53
  14. 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
  15. Regularly compatible operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 10,  25–36
  16. 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
  17. The convergence and rate of convergence of the Galerkin method for abstract evolution equations

    Differ. Uravn., 11:7 (1975),  1269–1277
  18. 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
  19. 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
  20. The convergence of approximate methods for the solution of linear and nonlinear operator equations

    Zh. Vychisl. Mat. Mat. Fiz., 14:4 (1974),  828–837
  21. Discretely compact sequences

    Zh. Vychisl. Mat. Mat. Fiz., 14:3 (1974),  572–583
  22. The convergence of the method of mechanical quadratures for integral equations with discontinuous kernels

    Sibirsk. Mat. Zh., 12:1 (1971),  40–53
  23. The convergence of quadrature difference methods for linear integro-differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 11:3 (1971),  770–776
  24. Compact approximation of operators and approximate solution of operator equations

    Dokl. Akad. Nauk SSSR, 189:2 (1969),  237–240
  25. The difference method for ordinary differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 9:5 (1969),  1057–1074
  26. The compact approximation principle in the theory of approximation methods

    Zh. Vychisl. Mat. Mat. Fiz., 9:4 (1969),  739–761
  27. The connection between the mechanical quadrature and finite difference methods

    Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969),  259–270
  28. Similar operators

    Dokl. Akad. Nauk SSSR, 179:5 (1968),  1029–1031
  29. Regular operators

    Funktsional. Anal. i Prilozhen., 2:2 (1968),  87–88
  30. The speed of convergence of the method of moments for ordinary differential equations

    Sibirsk. Mat. Zh., 9:1 (1968),  21–28
  31. The rate of convergence of the method of mechanical quadratures in an eigenvalue problem

    Zh. Vychisl. Mat. Mat. Fiz., 8:5 (1968),  1105–1110
  32. On the speed of convergence of approximate methods in the eigenvalue problem

    Zh. Vychisl. Mat. Mat. Fiz., 7:5 (1967),  977–987
  33. 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
  34. 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. On the convergence of the collocation method for nonlinear differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966),  35–42
  36. On convergence and stability of the collocation method

    Differ. Uravn., 1:2 (1965),  244–254
  37. Estimates of the error of the Bubnov–Galerkin method in an eigenvalue problem

    Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965),  587–607
  38. Asymptotic evaluations of the error of projection methods for the eigenvalue problem

    Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964),  405–425

  39. 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
  40. 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
  41. 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
  42. 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
  43. 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

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