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Prikazchikov, Viktor Georgievich
Statistics Math-Net.Ru
Total publications: 32
Scientific articles: 32

Number of views:
This page:476
Abstract pages:4514
Full texts:2131
References:236
Professor
Doctor of physico-mathematical sciences (1993)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 28.11.1936
E-mail:
Keywords: compact, convergenc, accuracy, uppers and lowers estimats.
UDC: 519.63, 519.632, 519.614

Subject:

Numerical methods for solving the spectral problem.

https://www.mathnet.ru/eng/person49296
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/208521
Full list of publications: Download file (85 kB)

Publications in Math-Net.Ru Citations
2004
1. V. G. Prikazchikov, “Two-Sided Approximation of Eigenvalues of Some Elliptic Operators”, Differ. Uravn., 40:7 (2004),  994–998  mathnet  mathscinet; Differ. Equ., 40:7 (2004), 1060–1065 2
2003
2. V. G. Prikazchikov, “Two-Sided Estimates of Eigenvalues of an Elliptic Operator”, Differ. Uravn., 39:7 (2003),  974–981  mathnet  mathscinet; Differ. Equ., 39:7 (2003), 1028–1036
1999
3. V. G. Prikazchikov, “Accuracy of a discrete analogue of the spectral problem for an operator of the linear theory of elasticity”, Differ. Uravn., 35:2 (1999),  273–279  mathnet  mathscinet; Differ. Equ., 35:2 (1999), 276–283
1994
4. V. G. Prikazchikov, G. S. Medvedev, “An approximate method for solving a spectral problem in a nonconvex domain”, Differ. Uravn., 30:12 (1994),  2153–2161  mathnet  mathscinet; Differ. Equ., 30:12 (1994), 1979–1986
5. V. G. Prikazchikov, A. A. Klunnik, “An a priori estimate for the solution of the biharmonic equation”, Differ. Uravn., 30:10 (1994),  1800–1805  mathnet  mathscinet; Differ. Equ., 30:10 (1994), 1663–1668
1992
6. V. G. Prikazchikov, Zh. P. Allanazaron, “A discrete spectral problem of the fourth order of accuracy”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 8,  47–51  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:8 (1992), 43–47
7. V. G. Prikazchikov, “The principal term in the expansion of the error of the eigenvalues of the discrete analogue of an elliptic operator”, Zh. Vychisl. Mat. Mat. Fiz., 32:10 (1992),  1671–1676  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:10 (1992), 1501–1505  isi
8. V. G. Prikazchikov, “The leading term of the error expansion for eigenvalues of a discrete analogue of a fourth-order elliptic operator”, Zh. Vychisl. Mat. Mat. Fiz., 32:7 (1992),  1016–1024  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:7 (1992), 897–905  isi
1991
9. V. G. Prikazchikov, Zh. P. Allanazarov, “The accuracy of a discrete spectral problem with a mixed derivative”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 9,  83–85  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:9 (1991), 82–84
10. V. G. Prikazchikov, “An asymptotic estimate of the accuracy of a discrete spectral problem”, Zh. Vychisl. Mat. Mat. Fiz., 31:4 (1991),  618–622  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:4 (1991), 97–101  isi 2
11. V. G. Prikazchikov, “Asymptotic estimate of the accuracy of the discrete spectral problem of a fourth-order equation”, Zh. Vychisl. Mat. Mat. Fiz., 31:3 (1991),  372–380  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:3 (1991), 26–32  isi 3
1990
12. V. G. Prikazchikov, Zh. P. Allanazarov, “A scheme of fourth-order accuracy in a spectral problem with variable coefficients”, Differ. Uravn., 26:12 (1990),  2153–2157  mathnet  mathscinet; Differ. Equ., 26:12 (1990), 1638–1642 1
1989
13. V. G. Prikazchikov, “Efficient improvement of the accuracy of calculating eigenvalues”, Differ. Uravn., 25:10 (1989),  1821–1823  mathnet  mathscinet  zmath
14. V. G. Prikazchikov, G. K. Berikelashvili, “Schemes of increased accuracy for an elliptic equation with a mixed derivative”, Differ. Uravn., 25:9 (1989),  1622–1624  mathnet  mathscinet  zmath
15. V. G. Prikazchikov, Zh. P. Allanazarov, “A scheme of fourth-order accuracy in a spectral problem for an equation with a mixed derivative”, Differ. Uravn., 25:7 (1989),  1250–1255  mathnet  mathscinet  zmath; Differ. Equ., 25:7 (1989), 892–897 1
1988
16. V. G. Prikazchikov, A. R. Semchuk, “Accuracy of a difference scheme for a spectral problem with discontinuous coefficients”, Differ. Uravn., 24:7 (1988),  1244–1249  mathnet  mathscinet; Differ. Equ., 24:7 (1988), 812–816
1986
17. V. G. Prikazchikov, “Steepest descent in a spectral problem”, Differ. Uravn., 22:7 (1986),  1268–1271  mathnet  mathscinet  zmath
18. I. P. Gavriljuk, V. G. Prikazchikov, A. N. Khimich, “Accuracy of the solution of a difference boundary value problem for a fourth-order elliptic operator with mixed boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 26:12 (1986),  1821–1830  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:6 (1986), 139–147 2
1985
19. V. G. Prikazchikov, A. R. Semchuk, “Accuracy of a difference scheme in a spectral problem with generalized solutions”, Differ. Uravn., 21:7 (1985),  1246–1252  mathnet  mathscinet  zmath
20. V. G. Prikazchikov, A. N. Khimich, “The difference eigenvalue problem for a fourth order elliptic operator with mixed boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 25:10 (1985),  1486–1495  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:5 (1985), 137–144 6
1982
21. V. L. Makarov, V. G. Prikazchikov, “The accuracy of the method of nets in eigenvalue problems”, Differ. Uravn., 18:7 (1982),  1240–1244  mathnet  mathscinet
22. P. Ph. Zhuk, V. G. Prikazchikov, “An efficient estimate of the convergence of the implicit iterative method in eigenvalue problems”, Differ. Uravn., 18:7 (1982),  1197–1202  mathnet  mathscinet
23. V. G. Prikazchikov, “The difference problem for eigenvalues of a second-order elliptic operator with mixed boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  655–662  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:3 (1982), 165–172 3
1980
24. V. G. Prikazchikov, “Prototypes of iteration processes in the eigenvalue problem”, Differ. Uravn., 16:9 (1980),  1688–1697  mathnet  mathscinet  zmath
25. V. G. Prikazchikov, “A conservative difference scheme for an eigenvalue problem in a domain with smooth boundary”, Differ. Uravn., 16:7 (1980),  1303–1307  mathnet  mathscinet  zmath
1979
26. S. A. Voitsekhovskii, V. L. Makarov, V. G. Prikazchikov, “A variant of the method of fictitious domains in eigenvalue problems”, Differ. Uravn., 15:9 (1979),  1676–1680  mathnet  mathscinet
27. V. L. Makarov, I. L. Makarov, V. G. Prikazchikov, “Exact difference schemes and schemes of any order of accuracy for systems of second-order differential equations”, Differ. Uravn., 15:7 (1979),  1194–1205  mathnet  mathscinet  zmath 2
1977
28. V. G. Prikazchikov, “The finite difference eigenvalue problem for fourth-order elliptic operator”, Zh. Vychisl. Mat. Mat. Fiz., 17:6 (1977),  1432–1442  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:6 (1977), 89–99 3
1975
29. V. G. Prikazchikov, “Rigorous estimates of the rate of convergence of the iteration method for the computation of eigenvalues”, Zh. Vychisl. Mat. Mat. Fiz., 15:5 (1975),  1330–1333  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 15:5 (1975), 235–239 3
1969
30. V. G. Prikazchikov, “High-accuracy homogeneous difference schemes for the Sturm–Liouville problem”, Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969),  315–336  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 9:2 (1969), 76–106 6
1966
31. V. G. Prikazchikov, “The asymptotics of eigenvalues for schemes of a high order of accuracy in the class of piecewise continuous coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 6:5 (1966),  927–930  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:5 (1966), 205–209 1
1965
32. V. G. Prikazchikov, “A difference problem on the eigen-values of an elliptic equation”, Zh. Vychisl. Mat. Mat. Fiz., 5:4 (1965),  648–657  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 5:4 (1965), 86–100 1

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