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Lyashko Anatolii Dmitrievich

Publications in Math-Net.Ru

  1. High-accuracy schemes of the finite element method for systems of degenerate elliptic equations on an interval

    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 7,  22–34
  2. Error estimates for projection-difference schemes for degenerate nonstationary equations

    Differ. Uravn., 42:7 (2006),  951–955
  3. Correctness of double-layer multicomponent difference schemes for nonlinear hyperbolic equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 9,  50–57
  4. Semidiscrete Schemes of the Finite Element Method for Degenerate Hyperbolic Equations

    Differ. Uravn., 41:7 (2005),  950–954
  5. A Study of Variable Step Iterative Methods for Variational Inequalities of the Second Kind

    Differ. Uravn., 40:7 (2004),  908–919
  6. Semidiscrete Finite Element Schemes for Nonstationary Degenerating Equations

    Differ. Uravn., 39:7 (2003),  955–959
  7. Investigation of the Projection Method for Degenerate Nonstationary Equations

    Differ. Uravn., 38:7 (2002),  986–988
  8. Error Estimates of the Galerkin Method for Quasilinear Hyperbolic Equations

    Differ. Uravn., 37:7 (2001),  941–949
  9. A mixed finite-element method for quasilinear degenerate fourth-order elliptic equations

    Differ. Uravn., 36:7 (2000),  946–952
  10. Correctness of an operator-differential scheme and substantiation of the Galerkin method for hyperbolic equations

    Sib. Zh. Vychisl. Mat., 3:4 (2000),  357–368
  11. The finite element method for fourth-order quasilinear degenerate elliptic equations

    Differ. Uravn., 35:2 (1999),  232–237
  12. Questions of solvability and a finite element method for higher-order degenerate elliptic equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 5,  57–64
  13. Investigation of the convergence of iterative methods for solving nonlinear problems in filtration theory

    Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 11,  8–13
  14. Investigation of the well-posedness of the generalized solution of the filtration consolidation problem

    Differ. Uravn., 33:4 (1997),  515–521
  15. On mathematical problems in the theory of multilayer shells with transversally soft fillings

    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 4,  66–76
  16. On the solvability of a variational inequality in the theory of nonlinear nonstationary filtration

    Differ. Uravn., 32:7 (1996),  958–965
  17. Error estimates for the scheme of the finite element method for second-order quasilinear degenerate elliptic equations

    Differ. Uravn., 30:7 (1994),  1239–1243
  18. Estimates for the accuracy of schemes of the finite element method for second-order degenerate elliptic equations

    Differ. Uravn., 29:7 (1993),  1210–1215
  19. Approximate solution of a problem of filtration consolidation

    Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 3,  3–6
  20. Convergence of the Bubnov–Galerkin method with perturbations for symmetric spectral problems with nonlinear appearance of the parameter

    Differ. Uravn., 27:7 (1991),  1144–1153
  21. Investigation of nonlinear two-layer operator-difference schemes with weights

    Differ. Uravn., 21:7 (1985),  1217–1227
  22. Correctness of a class of conservative nonlinear operator-difference schemes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 10,  47–55
  23. Difference approximation of a nonlinear nonstationary variational inequality

    Differ. Uravn., 20:7 (1984),  1237–1247
  24. Difference methods for solving nonlinear problems of filtration theory

    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 7,  28–45
  25. On the correctness of nonlinear two-layer operator-difference schemes

    Differ. Uravn., 17:7 (1981),  1304–1316
  26. Investigation of an implicit difference scheme for a variational inequality of nonlinear filtration theory

    Differ. Uravn., 16:7 (1980),  1255–1264
  27. Difference schemes for quasilinear elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  334–349
  28. Difference schemes for an equation of non-steady-state nonlinear filtration

    Differ. Uravn., 15:9 (1979),  1692–1706
  29. The variational method for equations with monotone discontinuous operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 11,  63–69
  30. Difference approximation of the Dirichlet problem for a quasilinear elliptic equation in a domain with a curvilinear boundary

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 10,  50–55
  31. Difference schemes for quasilinear elliptic equations in polar coordinates

    Differ. Uravn., 12:6 (1976),  1052–1060
  32. Difference schemes for certain boundary value problems for the biharmonic equation on a polar net

    Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 12,  57–65
  33. The convergence of difference schemes for quasilinear equations that are parabolic on the solution

    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 12,  30–42
  34. The solution of certain nonlinear problems of filtration theory

    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 6,  73–81
  35. On the correctness of nonlinear two-level operator-difference schemes

    Dokl. Akad. Nauk SSSR, 215:2 (1974),  263–265
  36. Difference schemes for quasilinear elliptic equations with discontinuous coefficients

    Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 5,  128–137
  37. A study of nonlinear problems of filtration theory

    Trudy Sem. Kraev. Zadacham, 11 (1974),  64–72
  38. Difference schemes for quasilinear elliptic equations of arbitrary order

    Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 9,  46–53
  39. Difference schemes for nonlinear multidimensional elliptic equations. II

    Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 3,  44–52
  40. An investigation of difference schemes for a certain class of quasilinear parabolic equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 1,  71–77
  41. Difference schemes for nonlinear parabolic equations in several dimensions

    Issled. Prikl. Mat., 1 (1973),  64–70
  42. Factorized Rothe schemes for quasilinear parabolic equations

    Differ. Uravn., 8:9 (1972),  1674–1681
  43. The method of lines for quasilinear elliptic equations

    Differ. Uravn., 8:5 (1972),  891–901
  44. Difference schemes for nonlinear multidimensional elliptic equations. I

    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 11,  23–31
  45. Efficient difference schemes for quasilinear parabolic equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 3,  23–31
  46. The method of lines for nonlinear elliptic equations of arbitrary order

    Differ. Uravn., 7:9 (1971),  1649–1654
  47. An investigation of the method of nets for nonlinear elliptic equations of arbitrary order

    Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 10,  37–43
  48. An investigation of a certain class of nonlinear difference schemes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 7,  63–71
  49. Investigation of difference schemes for nonlinear equations with the help of a variational method

    Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 3,  59–65
  50. Investigating the method of straight lines for non-linear elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 7:3 (1967),  677–680
  51. The variational method for nonlinear operator equations

    Uchenye Zapiski Kazanskogo Universiteta, 125:2 (1965),  95–101
  52. An approximate solution of one-dimensional boundary-value problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1962, no. 2,  95–99
  53. The convergence of Galerkin type methods

    Dokl. Akad. Nauk SSSR, 120:2 (1958),  242–244
  54. On the convergence of methods analogous to that of Galerkin

    Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 6,  176–179
  55. A generalization of Galerkin's method

    Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 4,  153–160

  56. Vyacheslav Nikolaevich Abrashin

    Differ. Uravn., 41:4 (2005),  561–569
  57. A. A. Samarskii, A. V. Gulin. Ustoichivost' raznostnykh skhem. (Stability of difference schemes). 415 p. “Nauka”, Editor-in-chief of phys.-mat. lit., Moscow, 1973. (Book review)

    Zh. Vychisl. Mat. Mat. Fiz., 14:5 (1974),  1358–1359
  58. Letter to the editors

    Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 2,  275
  59. Поправки к статье “О сходимости методов типа Галеркина” (ДАН, т. 120, № 2, 1958 г.)

    Dokl. Akad. Nauk SSSR, 122:4 (1958),  542

© Steklov Math. Inst. of RAS, 2025