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Lyashko, Anatolii Dmitrievich
(1930–2008)
Statistics Math-Net.Ru
Total publications: 59
Scientific articles: 55

Number of views:
This page:793
Abstract pages:10131
Full texts:3985
References:266
Professor
Doctor of physico-mathematical sciences (1974)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 3.08.1930
Website: http://www.ksu.ru/persons/9202.ru.html

https://www.mathnet.ru/eng/person32817
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/196322

Publications in Math-Net.Ru Citations
2009
1. A. D. Lyashko, Sh. I. Tayupov, M. R. Timerbaev, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:7 (2009), 17–27 3
2006
2. A. D. Lyashko, E. M. Fedotov, “Error estimates for projection-difference schemes for degenerate nonstationary equations”, Differ. Uravn., 42:7 (2006),  951–955  mathnet  mathscinet; Differ. Equ., 42:7 (2006), 1013–1017 1
3. A. D. Lyashko, E. M. Fedotov, “Correctness of double-layer multicomponent difference schemes for nonlinear hyperbolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 9,  50–57  mathnet  mathscinet; Russian Math. (Iz. VUZ), 60:9 (2006), 47–54 1
2005
4. A. D. Lyashko, E. M. Fedotov, “Semidiscrete Schemes of the Finite Element Method for Degenerate Hyperbolic Equations”, Differ. Uravn., 41:7 (2005),  950–954  mathnet  mathscinet; Differ. Equ., 41:7 (2005), 997–1002 1
2004
5. I. B. Badriev, O. A. Zadvornov, A. D. Lyashko, “A Study of Variable Step Iterative Methods for Variational Inequalities of the Second Kind”, Differ. Uravn., 40:7 (2004),  908–919  mathnet  mathscinet; Differ. Equ., 40:7 (2004), 971–983 24
2003
6. A. D. Lyashko, “Semidiscrete Finite Element Schemes for Nonstationary Degenerating Equations”, Differ. Uravn., 39:7 (2003),  955–959  mathnet  mathscinet; Differ. Equ., 39:7 (2003), 1007–1012 1
2002
7. A. D. Lyashko, “Investigation of the Projection Method for Degenerate Nonstationary Equations”, Differ. Uravn., 38:7 (2002),  986–988  mathnet  mathscinet; Differ. Equ., 38:7 (2002), 1050–1053
2001
8. S. E. Zhelezovsky, A. D. Lyashko, “Error Estimates of the Galerkin Method for Quasilinear Hyperbolic Equations”, Differ. Uravn., 37:7 (2001),  941–949  mathnet  mathscinet; Differ. Equ., 37:7 (2001), 988–997 4
2000
9. M. M. Karchevskii, A. D. Lyashko, M. R. Timerbaev, “A mixed finite-element method for quasilinear degenerate fourth-order elliptic equations”, Differ. Uravn., 36:7 (2000),  946–952  mathnet  mathscinet; Differ. Equ., 36:7 (2000), 1050–1057 1
10. A. D. Lyashko, S. E. Zhelezovsky, “Correctness of an operator-differential scheme and substantiation of the Galerkin method for hyperbolic equations”, Sib. Zh. Vychisl. Mat., 3:4 (2000),  357–368  mathnet  zmath 4
1999
11. M. M. Karchevskii, A. D. Lyashko, M. R. Timerbaev, “The finite element method for fourth-order quasilinear degenerate elliptic equations”, Differ. Uravn., 35:2 (1999),  232–237  mathnet  mathscinet; Differ. Equ., 35:2 (1999), 233–238 4
12. A. D. Lyashko, M. R. Timerbaev, “Questions of solvability and a finite element method for higher-order degenerate elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 5,  57–64  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 43:5 (1999), 53–60
1998
13. I. B. Badriev, A. D. Lyashko, O. V. Pankratova, “Investigation of the convergence of iterative methods for solving nonlinear problems in filtration theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 11,  8–13  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 42:11 (1998), 6–11
1997
14. R. Z. Dautov, M. I. Drobotenko, A. D. Lyashko, “Investigation of the well-posedness of the generalized solution of the filtration consolidation problem”, Differ. Uravn., 33:4 (1997),  515–521  mathnet  mathscinet; Differ. Equ., 33:4 (1997), 518–525 1
15. M. M. Karchevskii, A. D. Lyashko, V. N. Paimushin, “On mathematical problems in the theory of multilayer shells with transversally soft fillings”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 4,  66–76  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:4 (1997), 64–74
1996
16. A. D. Lyashko, M. E. Mayorova, M. F. Pavlova, “On the solvability of a variational inequality in the theory of nonlinear nonstationary filtration”, Differ. Uravn., 32:7 (1996),  958–965  mathnet  mathscinet; Differ. Equ., 32:7 (1996), 965–973
1994
17. M. R. Timerbaev, A. D. Lyashko, “Error estimates for the scheme of the finite element method for second-order quasilinear degenerate elliptic equations”, Differ. Uravn., 30:7 (1994),  1239–1243  mathnet  mathscinet; Differ. Equ., 30:7 (1994), 1147–1151 6
1993
18. A. D. Lyashko, M. R. Timerbaev, “Estimates for the accuracy of schemes of the finite element method for second-order degenerate elliptic equations”, Differ. Uravn., 29:7 (1993),  1210–1215  mathnet  mathscinet; Differ. Equ., 29:7 (1993), 1049–1053 4
1992
19. M. I. Drobotenko, A. D. Lyashko, “Approximate solution of a problem of filtration consolidation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 3,  3–6  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:3 (1992), 1–4
1991
20. R. Z. Dautov, A. D. Lyashko, S. I. Solov'ev, “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  mathnet  mathscinet  zmath; Differ. Equ., 27:7 (1991), 799–806 9
1985
21. A. D. Lyashko, E. M. Fedotov, “Investigation of nonlinear two-layer operator-difference schemes with weights”, Differ. Uravn., 21:7 (1985),  1217–1227  mathnet  mathscinet  zmath 4
22. A. D. Lyashko, E. M. Fedotov, “Correctness of a class of conservative nonlinear operator-difference schemes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 10,  47–55  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:10 (1985), 60–69 5
1984
23. A. D. Lyashko, M. F. Pavlova, “Difference approximation of a nonlinear nonstationary variational inequality”, Differ. Uravn., 20:7 (1984),  1237–1247  mathnet  mathscinet  zmath
1983
24. A. D. Lyashko, M. M. Karchevskii, “Difference methods for solving nonlinear problems of filtration theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 7,  28–45  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:7 (1983), 34–56 3
1981
25. A. D. Lyashko, E. M. Fedotov, “On the correctness of nonlinear two-layer operator-difference schemes”, Differ. Uravn., 17:7 (1981),  1304–1316  mathnet  mathscinet 1
1980
26. A. D. Lyashko, M. F. Pavlova, “Investigation of an implicit difference scheme for a variational inequality of nonlinear filtration theory”, Differ. Uravn., 16:7 (1980),  1255–1264  mathnet  mathscinet
27. R. Z. Dautov, A. V. Lapin, A. D. Lyashko, “Difference schemes for quasilinear elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  334–349  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 62–78 6
1979
28. M. M. Karchevskii, A. D. Lyashko, M. F. Pavlova, “Difference schemes for an equation of non-steady-state nonlinear filtration”, Differ. Uravn., 15:9 (1979),  1692–1706  mathnet  mathscinet  zmath 1
1978
29. A. D. Lyashko, I. B. Badriev, M. M. Karchevskii, “The variational method for equations with monotone discontinuous operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 11,  63–69  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:11 (1978), 47–52 6
1977
30. V. D. Glušenkov, A. D. Lyaško, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:10 (1977), 40–44
1976
31. V. D. Glushenkov, A. D. Lyashko, “Difference schemes for quasilinear elliptic equations in polar coordinates”, Differ. Uravn., 12:6 (1976),  1052–1060  mathnet  mathscinet  zmath 1
32. A. D. Lyashko, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 20:12 (1976), 44–51
1975
33. A. V. Lapin, A. D. Lyashko, “The convergence of difference schemes for quasilinear equations that are parabolic on the solution”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 12,  30–42  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 19:12 (1975), 24–34 2
34. A. D. Lyashko, M. M. Karchevskii, “The solution of certain nonlinear problems of filtration theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 6,  73–81  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 19:6 (1975), 60–66 14
1974
35. A. D. Lyashko, “On the correctness of nonlinear two-level operator-difference schemes”, Dokl. Akad. Nauk SSSR, 215:2 (1974),  263–265  mathnet  mathscinet  zmath 3
36. M. M. Karchevskii, A. D. Lyashko, “Difference schemes for quasilinear elliptic equations with discontinuous coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 5,  128–137  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 18:5 (1974), 106–113 1
37. M. M. Karchevskii, A. D. Lyashko, “A study of nonlinear problems of filtration theory”, Trudy Sem. Kraev. Zadacham, 11 (1974),  64–72  mathnet  mathscinet
1973
38. A. D. Lyashko, “Difference schemes for quasilinear elliptic equations of arbitrary order”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 9,  46–53  mathnet  mathscinet  zmath 1
39. M. M. Karchevskii, A. D. Lyashko, “Difference schemes for nonlinear multidimensional elliptic equations. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 3,  44–52  mathnet  mathscinet  zmath
40. A. V. Lapin, A. D. Lyashko, “An investigation of difference schemes for a certain class of quasilinear parabolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 1,  71–77  mathnet  mathscinet  zmath 2
41. A. D. Lyashko, “Difference schemes for nonlinear parabolic equations in several dimensions”, Issled. Prikl. Mat., 1 (1973),  64–70  mathnet  zmath; J. Soviet Math., 40:6 (1988), 744–748
1972
42. A. D. Lyashko, “Factorized Rothe schemes for quasilinear parabolic equations”, Differ. Uravn., 8:9 (1972),  1674–1681  mathnet  mathscinet  zmath
43. A. D. Lyashko, “The method of lines for quasilinear elliptic equations”, Differ. Uravn., 8:5 (1972),  891–901  mathnet  mathscinet  zmath
44. M. M. Karchevskii, A. D. Lyashko, “Difference schemes for nonlinear multidimensional elliptic equations. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 11,  23–31  mathnet  mathscinet  zmath
45. M. M. Karchevskii, A. V. Lapin, A. D. Lyashko, “Efficient difference schemes for quasilinear parabolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 3,  23–31  mathnet  mathscinet  zmath 1
1971
46. A. D. Lyashko, “The method of lines for nonlinear elliptic equations of arbitrary order”, Differ. Uravn., 7:9 (1971),  1649–1654  mathnet  mathscinet  zmath
1970
47. A. V. Lapin, A. D. Lyashko, “An investigation of the method of nets for nonlinear elliptic equations of arbitrary order”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 10,  37–43  mathnet  mathscinet  zmath
48. A. D. Lyashko, M. M. Karchevskii, “An investigation of a certain class of nonlinear difference schemes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 7,  63–71  mathnet  mathscinet  zmath 3
1967
49. A. D. Lyashko, M. M. Karchevskii, “Investigation of difference schemes for nonlinear equations with the help of a variational method”, Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 3,  59–65  mathnet  mathscinet  zmath
50. A. D. Lyashko, M. M. Karchevskii, “Investigating the method of straight lines for non-linear elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 7:3 (1967),  677–680  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:3 (1967), 288–294
1965
51. A. D. Lyashko, “The variational method for nonlinear operator equations”, Uchenye Zapiski Kazanskogo Universiteta, 125:2 (1965),  95–101  mathnet  mathscinet  zmath
1962
52. A. D. Lyashko, “An approximate solution of one-dimensional boundary-value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1962, no. 2,  95–99  mathnet  mathscinet  zmath
1958
53. A. D. Lyashko, “The convergence of Galerkin type methods”, Dokl. Akad. Nauk SSSR, 120:2 (1958),  242–244  mathnet  mathscinet  zmath 3
54. A. D. Lyashko, “On the convergence of methods analogous to that of Galerkin”, Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 6,  176–179  mathnet  mathscinet  zmath
55. A. D. Lyashko, “A generalization of Galerkin's method”, Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 4,  153–160  mathnet  mathscinet  zmath
2005
56. V. V. Voevodin, V. M. Volkov, I. V. Gaishun, V. A. Gulin, N. A. Izobov, V. A. Il'in, S. K. Korovin, A. D. Lyashko, Yu. P. Popov, A. A. Samarskii, M. P. Sapagovas, B. N. Chetverushkin, T. K. Shemjakina, L. A. Yanovich, “Vyacheslav Nikolaevich Abrashin”, Differ. Uravn., 41:4 (2005),  561–569  mathnet  mathscinet
1974
57. A. D. Lyashko, “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  mathnet; U.S.S.R. Comput. Math. Math. Phys., 14:5 (1974), 260–261
1959
58. A. D. Lyashko, “Letter to the editors”, Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 2,  275  mathnet
1958
59. A. D. Lyashko, “Поправки к статье “О сходимости методов типа Галеркина” (ДАН, т. 120, № 2, 1958 г.)”, Dokl. Akad. Nauk SSSR, 122:4 (1958),  542  mathnet

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