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Karchevskii, Mikhail Mironovich
Statistics Math-Net.Ru
Total publications: 54
Scientific articles: 54

Number of views:
This page:3541
Abstract pages:12885
Full texts:5549
References:984
Professor
Doctor of physico-mathematical sciences (1988)
Speciality: 01.01.07 (Computing mathematics)
E-mail: ,
Website: http://www.ksu.ru/persons/9201.ru.html

https://www.mathnet.ru/eng/person33749
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/196323

Publications in Math-Net.Ru Citations
2019
1. M. M. Karchevsky, “A mesh method for solving fourth-order quasilinear elliptic equations”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:3 (2019),  405–422  mathnet
2018
2. 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  mathnet
2016
3. M. M. Karchevsky, “Mixed finite element method for nonclassical boundary value problems of shallow shell theory”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158:3 (2016),  322–335  mathnet  elib 3
2015
4. M. M. Karchevsky, R. R. Shagidullin, “On boundary value problems for elliptic systems of second-order equations in divergence form”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:2 (2015),  93–103  mathnet  elib 1
5. M. M. Karchevsky, R. R. Shagidullin, “On the transmission problem for second-order quasilinear elliptic equations in divergence form”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:1 (2015),  44–50  mathnet  elib
2013
6. M. M. Karchevsky, “Investigation of solvability of the nonlinear equilibrium problem of a shallow unfixed shell”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:3 (2013),  105–110  mathnet 5
7. 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  mathnet
8. A. P. Gogin, M. M. Karchevsky, “On Error Estimates for a Variant of the Mixed Finite Element Method”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:2 (2013),  44–53  mathnet
2011
9. M. M. Karchevskii, “A multigrid method for weakly nonlinear elliptic equations of the second order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 3,  10–19  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:3 (2011), 8–16  scopus
10. A. P. Gogin, M. M. Karchevsky, “An iterative method for mixed finite element schemes”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153:4 (2011),  5–10  mathnet 1
2009
11. M. M. Karchevsky, “On convergence of multigrid method for elliptic equations of second order”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151:3 (2009),  154–161  mathnet
2007
12. O. A. Zadvornov, M. M. Karchevskii, A. E. Fedotov, “Application of mixed schemes of the finite element method to the solution of problems of nonlinear filtration theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, no. 8,  16–26  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 51:8 (2007), 14–24
2005
13. M. M. Karchevskii, A. E. Fedotov, “Mixed finite element method for quasilinear degenerate elliptic equations.”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 147:3 (2005),  127–140  mathnet  zmath 1
2003
14. 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, no. 7,  18–26  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:7 (2003), 16–24 4
2000
15. 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
1999
16. 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
17. M. M. Karchevskii, “On a class of grid approximations for nonlinear problems in plate theory”, Zh. Vychisl. Mat. Mat. Fiz., 39:4 (1999),  670–680  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:4 (1999), 641–651 1
1998
18. M. M. Karchevskii, “On the mixed finite element method in the nonlinear theory of thin shells”, Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998),  324–329  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:2 (1998), 313–318 3
1997
19. 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
20. L. Sh. Zabotina, M. M. Karchevskii, “On mixed finite element schemes for nonlinear problems in the theory of shells”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 1,  44–50  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:1 (1996), 40–46 5
1995
21. M. M. Karchevskiĭ, “On the solvability of geometrically nonlinear problems in the theory of thin shells”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 6,  30–36  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:6 (1995), 27–33 2
1994
22. M. M. Karchevskii, V. N. Paimushin, “Variational problems in the theory of three-layer shallow shells”, Differ. Uravn., 30:7 (1994),  1217–1221  mathnet  mathscinet; Differ. Equ., 30:7 (1994), 1126–1130 5
1993
23. 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, no. 11,  9–16  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:11 (1997), 7–14
1992
24. M. M. Karchevskii, “A mixed finite element method for nonlinear problems in the theory of plates”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 7,  12–19  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:7 (1992), 10–17 2
25. R. I. Ismagilov, M. M. Karchevskii, “The method of fictitious domains for a geometrically and physically nonlinear problem of the bending of a shallow shell”, Issled. Prikl. Mat., 20 (1992),  35–50  mathnet  mathscinet  zmath; J. Math. Sci., 74:6 (1995), 1318–1326
1991
26. M. M. Karchevskii, “Solvability of variational problems in the nonlinear theory of shallow shells”, Differ. Uravn., 27:7 (1991),  1196–1203  mathnet  mathscinet  zmath; Differ. Equ., 27:7 (1991), 841–847 11
1990
27. I. B. Badriev, M. M. Karchevskii, “Convergence of an iterative process in a Banach space”, Issled. Prikl. Mat., 17 (1990),  3–15  mathnet  mathscinet; J. Math. Sci., 71:6 (1994), 2727–2735 14
1988
28. S. N. Voloshanovskaya, M. M. Karchevskii, “Solvability of the geometrically nonlinear bending problem for an open spherical shell”, Issled. Prikl. Mat., 15 (1988),  37–48  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 6`:5 (1992), 2338–2345
1985
29. M. M. Karchevskiĭ, “Nonlinear problems of the theory of plates and shells and their difference approximation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 10,  17–30  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:10 (1985), 21–38 8
1983
30. 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
31. M. M. Karchevskii, “Some methods of solving the first boundary value problem for the biharmonic difference equation”, Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983),  1088–1097  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 41–47 1
1982
32. I. B. Badriev, M. M. Karchevskii, “Application of the duality method to the solution of nonlinear problems of filtration theory with a limit gradient”, Differ. Uravn., 18:7 (1982),  1133–1144  mathnet  mathscinet  zmath 2
1981
33. M. M. Karchevskii, “An iterative variable direction scheme for the solution of the plane problem of elasticity theory on a polar grid”, Issled. Prikl. Mat., 9 (1981),  3–8  mathnet  mathscinet  zmath; J. Soviet Math., 46:6 (1989), 2159–2163
1980
34. M. M. Karchevskii, E. M. Fedotov, “Difference method for solving a problem of heat exchange by radiation”, Differ. Uravn., 16:7 (1980),  1226–1234  mathnet  mathscinet
35. M. M. Karchevskii, E. M. Fedotov, “Iterative methods of solution of difference schemes for the heat-conduction equation with nonlinear boundary conditions”, Issled. Prikl. Mat., 8 (1980),  29–40  mathnet  mathscinet  zmath; J. Soviet Math., 44:1 (1989), 18–26
1979
36. 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
37. M. M. Karchevskii, A. V. Lapin, “Investigation of a difference scheme for a nonlinear stationary problem of filtration theory”, Issled. Prikl. Mat., 6 (1979),  23–31  mathnet  mathscinet  zmath; J. Soviet Math., 43:1 (1988), 2193–2199 1
1978
38. 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
39. M. M. Karčevskiĭ, S. N. Vološanovskaja, “The approximation of the strain tensor in curvilinear coordinates. A difference scheme for the problem of the equilibrium of an elastic cylinder”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 10,  70–80  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:10 (1977), 57–65 2
40. S. N. Voloshanovskaya, M. M. Karchevskii, “A difference scheme for the problem of the strong bending of thin plates”, Zh. Vychisl. Mat. Mat. Fiz., 17:1 (1977),  183–195  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 17:1 (1977), 174–188
1976
41. S. N. Voloshanovskaya, M. M. Karchevskii, “A difference scheme for the mixed boundary-value problem of strong bending of shallow shells”, Issled. Prikl. Mat., 5 (1976),  32–52  mathnet  zmath; J. Soviet Math., 42:3 (1988), 1685–1696
1975
42. 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 15
1974
43. 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
44. M. M. Karchevskii, A. D. Lyashko, “A study of nonlinear problems of filtration theory”, Trudy Sem. Kraev. Zadacham, 11 (1974),  64–72  mathnet  mathscinet
45. M. M. Karchevskii, “The stable iteration methods for the solution of problems of Neumann type”, Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  254–259  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:1 (1974), 258–263
1973
46. 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
1972
47. 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
48. 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
49. M. M. Karchevskii, “Iteration schemes for equations with monotone operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 5,  32–37  mathnet  mathscinet  zmath 5
1970
50. M. M. Karchevskii, “Difference schemes for quasilinear elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 9,  48–58  mathnet  mathscinet  zmath
51. 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
1969
52. M. M. Karchevskii, “The convergence of the method of straight lines for fourth order elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 4,  24–27  mathnet  mathscinet  zmath
1967
53. 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
54. 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

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