Publications in Math-Net.Ru |
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2018 |
1. |
A. A. Arbuzov, R. Z. Dautov, E. M. Karchevskii, M. M. Karchevskii, D. V. Chistyakov, “On numerical methods for time-dependent eddy current problems for the Maxwell equations in inhomogeneous media”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160:3 (2018), 477–494 |
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2014 |
2. |
R. Z. Dautov, E. M. Fedotov, “Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 463–480 ; Comput. Math. Math. Phys., 54:3 (2014), 474–490 |
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2013 |
3. |
R. Z. Dautov, “A sharp error estimate of the best approximation by algebraic polynomials in the weighted space $L_2(-1,1)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 5, 61–63 ; Russian Math. (Iz. VUZ), 57:5 (2013), 51–53 |
4. |
R. Z. Dautov, M. M. Karchevsky, E. A. Novikov, E. M. Fedotov, V. K. Khaisanov, “Mathematical Modeling of Dry Gas Dynamic Seals”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:2 (2013), 158–166 |
5. |
R. Z. Dautov, E. M. Fedotov, “Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 53:11 (2013), 1791–1803 ; Comput. Math. Math. Phys., 53:11 (2013), 1614–1625 |
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2010 |
6. |
A. I. Mikheeva, R. Z. Dautov, “Stability of the coincidence set of a solution to a parabolic variational inequality with an obstacle”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, 3, 88–91 ; Russian Math. (Iz. VUZ), 54:3 (2010), 77–79 |
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2008 |
7. |
R. Z. Dautov, A. I. Mikheeva, “On the accuracy of the penalty method for parabolic variational inequalities with an obstacle inside the domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, 2, 41–47 ; Russian Math. (Iz. VUZ), 52:2 (2008), 39–45 |
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2007 |
8. |
A. K. Safina, R. Z. Dautov, “Revised quadratic subparametric triangular finite element of the second-order accuracy”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 149:4 (2007), 132–145 |
9. |
A. A. Akhtareev, R. Z. Dautov, “Mixed variable technique for simulating unsaturated-saturated flows”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 149:4 (2007), 58–72 |
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2005 |
10. |
E. M. Stepanova, R. Z. Dautov, Yu. Ya. Petrushenko, “Решение краевых задач, описываемых двумерными эллиптическими уравнениями второго порядка, методом интегрирующих матриц”, Matem. Mod. Kraev. Zadachi, 3 (2005), 218–221 |
11. |
R. Z. Dautov, E. M. Karchevskii, G. P. Kornilov, “A numerical method for finding dispersion curves and guided waves of optical waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005), 2203–2218 ; Comput. Math. Math. Phys., 45:12 (2005), 2119–2134 |
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2003 |
12. |
R. Z. Dautov, M. M. Karchevskii, V. N. Paimushin, “On the method of integrating matrices for systems of ordinary differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, 7, 18–26 ; Russian Math. (Iz. VUZ), 47:7 (2003), 16–24 |
13. |
R. Z. Dautov, R. F. Kadyrov, E. Laitinen, A. V. Lapin, J. Pieskä, V. Toivonen, “On 3D dynamic control of secondary cooling in continuous casting process”, Lobachevskii J. Math., 13 (2003), 3–13 |
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2002 |
14. |
R. Z. Dautov, E. M. Karchevskii, “Solution of the vector problem of the natural waves of cylindrical dielectric waveguides based on a nonlocal boundary condition”, Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002), 1051–1066 ; Comput. Math. Math. Phys., 42:7 (2002), 1012–1027 |
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2001 |
15. |
R. Z. Dautov, M. D. Missarov, “Symmetries and cycles of the renormalization group in a fermionic hierarchical model”, TMF, 126:2 (2001), 238–246 ; Theoret. and Math. Phys., 126:2 (2001), 195–202 |
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2000 |
16. |
R. Z. Dautov, E. M. Karchevskii, “Existence and properties of solutions to the spectral problem of the dielectric waveguide theory”, Zh. Vychisl. Mat. Mat. Fiz., 40:8 (2000), 1250–1263 ; Comput. Math. Math. Phys., 40:8 (2000), 1200–1213 |
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1999 |
17. |
R. Z. Dautov, E. M. Karchevskii, “On a spectral problem of the theory of dielectric waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 39:8 (1999), 1348–1355 ; Comput. Math. Math. Phys., 39:8 (1999), 1293–1299 |
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1998 |
18. |
R. Z. Dautov, “High accuracy post-processing technique for free boundaries in finite element approximations to the obstacle problems”, Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998), 239–246 ; Comput. Math. Math. Phys., 38:2 (1998), 230–237 |
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1997 |
19. |
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 ; Differ. Equ., 33:4 (1997), 518–525 |
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1996 |
20. |
R. Z. Dautov, V. N. Paimushin, “On the method of integrating matrices for the solution of boundary value problems for fourth-order ordinary equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, 10, 13–25 ; Russian Math. (Iz. VUZ), 40:10 (1996), 11–23 |
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1995 |
21. |
R. Z. Dautov, “A scheme of accuracy $O(h^2\ln^\alpha(1/h))$ for determining the free boundary in a problem with an obstacle inside the domain”, Differ. Uravn., 31:7 (1995), 1202–1210 ; Differ. Equ., 31:7 (1995), 1146–1156 |
22. |
R. Z. Dautov, “On exact penalty operators for elliptic variational inequalities with an obstacle inside the domain”, Differ. Uravn., 31:6 (1995), 1008–1017 ; Differ. Equ., 31:6 (1995), 942–951 |
23. |
R. Z. Dautov, “The finite element method scheme based on the multiplicative identification of singularities for boundary value problems in domains with corners”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, 4, 29–39 ; Russian Math. (Iz. VUZ), 39:4 (1995), 26–36 |
24. |
R. Z. Dautov, N. N. Sarimov, “A numerical method for solving the Dirichlet problem with nonlocal boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 35:9 (1995), 1356–1373 ; Comput. Math. Math. Phys., 35:9 (1995), 1089–1102 |
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1994 |
25. |
R. Z. Dautov, “A scheme of accuracy $O(h^2)$ for determining the free boundary for a one-dimensional problem with an obstacle”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 9, 39–48 ; Russian Math. (Iz. VUZ), 38:9 (1994), 38–47 |
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1993 |
26. |
R. Z. Dautov, M. M. Karchevskii, N. N. Sarimov, “Numerical modeling of the nonisothermic flow of nonlinear viscoelastic fluids”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, 11, 9–16 ; Russian Math. (Iz. VUZ), 37:11 (1997), 7–14 |
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1991 |
27. |
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 ; Differ. Equ., 27:7 (1991), 799–806 |
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1985 |
28. |
R. Z. Dautov, “A variant of the finite element method for elliptic equations in domains with periodic structure”, Differ. Uravn., 21:7 (1985), 1155–1164 |
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1982 |
29. |
R. Z. Dautov, “Superconvergence of schemes of the finite element method with numerical integration for fourth-order quasilinear elliptic equations”, Differ. Uravn., 18:7 (1982), 1172–1181 |
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1981 |
30. |
R. Z. Dautov, A. V. Lapin, “Investigation of convergence in difference norms of schemes of the finite element method with numerical integration for fourth-order elliptic equations”, Differ. Uravn., 17:7 (1981), 1256–1269 |
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1980 |
31. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 62–78 |
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1979 |
32. |
R. Z. Dautov, A. V. Lapin, “Difference schemes of an arbitrary order of accuracy for quasilinear elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, 10, 24–37 ; Soviet Math. (Iz. VUZ), 23:10 (1979), 1–13 |
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