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Vabishchevich Petr Nikolaevich

Statistics Math-Net.Ru
Total publications: 126
Scientific articles: 126

Number of views:
This page:5150
Abstract pages:27650
Full texts:10581
References:1425
Professor
Doctor of physico-mathematical sciences
E-mail: ,

http://www.mathnet.ru/eng/person28431
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https://mathscinet.ams.org/mathscinet/MRAuthorID/193948

Publications in Math-Net.Ru
1. Numerical solution of time-dependent problems with a fractional-power elliptic operator
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  414–430
2. Numerical modeling of neutron diffusion non-stationary problems
A. V. Avvakumov, P. N. Vabishchevich, A. O. Vasilev, V. F. Strizhev
Matem. Mod., 29:7 (2017),  44–62
3. Vector domain decomposition schemes for parabolic equations
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017),  1530–1547
4. Time step selection for the numerical solution of boundary value problems for parabolic equations
P. N. Vabishchevich, A. O. Vasil'ev
Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  842–853
5. Numerical analysis of temperature dynamics of railway embankment in permafrost
P. N. Vabishchevich, S. P. Varlamov, V. I. Vasiliev, M. V. Vasilieva, S. P. Stepanov
Matem. Mod., 28:10 (2016),  110–124
6. Numerical modeling of a fluid flow in anisotropic fractured porous media
P. N. Vabishchevich, A. V. Grigoriev
Sib. Zh. Vychisl. Mat., 19:1 (2016),  61–74
7. Alternating triangular schemes for convection-diffusion problems
P. N. Vabishchevich, P. E. Zakharov
Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016),  587–604
8. Numerical solution of an inverse problem of filtration
P. N. Vabishchevich, V. l. Vasil'ev, M. V. Vasil'eva, D. Ya. Nikiforov
Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:4 (2015),  79–89
9. Computational identification of the right-hand side of a parabolic equation
P. N. Vabishchevich, V. l. Vasil'ev, M. V. Vasil'eva
Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015),  1020–1027
10. Numerical modeling of thermal stabilization of filter ground
P. N. Vabishchevich, M. V. Vasilyeva, N. V. Pavlova
Matem. Mod., 26:9 (2014),  111–125
11. Material properties database
V. V. Belikov, N. P. Vabishchevich, P. N. Vabishchevich, U. V. Katishkov, N. A. Mosunova
Matem. Mod., 26:8 (2014),  20–30
12. Splitting scheme for poroelasticity and thermoelasticity problems
P. N. Vabishchevich, M. V. Vasil'eva, A. E. Kolesov
Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014),  1345–1355
13. Stable difference schemes for certain parabolic equations
N. M. Afanas'eva, P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 54:7 (2014),  1186–1193
14. Three-level schemes of the alternating triangular method
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  942–952
15. Unconditionally stable schemes for convection-diffusion problems
N. M. Afanas'eva, P. N. Vabishchevich, M. V. Vasil'eva
Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 3,  3–15
16. Operator-Difference Schemes for a Class of Systems of Evolution Equations
P. N. Vabishchevich
Mat. Zametki, 93:1 (2013),  29–44
17. Flux-splitting schemes for parabolic equations with mixed derivatives
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1314–1328
18. Numerical solving unsteady problems for the system of the Nernst–Planck equations
P. N. Vabishchevich, O. P. Iliev
Matem. Mod., 24:10 (2012),  133–148
19. Explicit-implicit schemes for convection-diffusion-reaction problems
P. N. Vabishchevich, M. V. Vasil'eva
Sib. Zh. Vychisl. Mat., 15:4 (2012),  359–369
20. Flux-splitting schemes for parabolic problems
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1415–1425
21. SM-stability of operator-difference schemes
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1002–1009
22. Construction of splitting schemes based on transition operator approximation
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  253–262
23. Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1121–1132
24. Explicit-implicit numerical algorithms for porous media multiphase flow problems
P. N. Vabishchevich
Matem. Mod., 22:4 (2010),  118–128
25. Additive schemes (splitting schemes) for systems of partial derivative equations
P. N. Vabishchevich
Vychisl. Metody Programm., 11:1 (2010),  1–6
26. Additive schemes for certain operator-differential equations
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010),  2144–2154
27. Factorized SM-stable two-level schemes
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010),  1919–1925
28. Regularized additive operator-difference schemes
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  449–457
29. Two-layer schemes of improved order of approximation for nonstationary problems in mathematical physics
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 50:1 (2010),  118–130
30. Convergence of Metropolis-Type Algorithms for a Large Canonical Ensemble
P. N. Vabishchevich
Mat. Zametki, 82:4 (2007),  519–524
31. Difference Schemes for Nonstationary Vector Problems
P. N. Vabishchevich
Differ. Uravn., 40:7 (2004),  936–943
32. Numerical solution of the problem of the identification of the right-hand side of a parabolic equation
P. N. Vabishchevich
Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 1,  29–37
33. Numerical Solution of the Identification Problem for the Lower Coefficient of an Elliptic Equation
P. N. Vabishchevich
Differ. Uravn., 38:7 (2002),  943–948
34. Numerical solution of a problem of potential field continuation
P. N. Vabishchevich, P. A. Pulatov
Matem. Mod., 14:6 (2002),  91–104
35. Monotone finite-difference schemes on triangular grids for convection-diffusion problems
P. N. Vabishchevich, A. A. Samarskii
Zh. Vychisl. Mat. Mat. Fiz., 42:9 (2002),  1368–1382
36. Additive difference schemes for filtration problems in multilayer systems
E. A. Hayryan, P. N. Vabishchevich, M. Pavlus, A. V. Fedorov
Matem. Mod., 13:10 (2001),  91–102
37. Difference methods for solving mathematical physics problems on unstructured grids
A. A. Samarskii, P. N. Vabishchevich
Matem. Mod., 13:2 (2001),  5–16
38. Finite-difference approximations to the transport equation. II
A. A. Samarskii, P. N. Vabishchevich
Differ. Uravn., 36:7 (2000),  963–970
39. Problems in compressible fluid dynamics with a variable viscosity
P. N. Vabishchevich, A. A. Samarskii
Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000),  1813–1822
40. Nonlinear regularized finite-difference schemes for the multidimensional transport equation
P. N. Vabishchevich, V. A. Pervichko, A. A. Samarskii, V. V. Chudanov
Zh. Vychisl. Mat. Mat. Fiz., 40:6 (2000),  900–907
41. Finite difference schemes for convection-diffusion problems on irregular meshes
P. N. Vabishchevich, A. A. Samarskii
Zh. Vychisl. Mat. Mat. Fiz., 40:5 (2000),  726–739
42. Stability of operator-difference schemes
A. A. Samarskii, P. N. Vabishchevich, A. V. Gulin
Differ. Uravn., 35:2 (1999),  152–187
43. Difference scheme of the second order of accuracy for dirichlet problem in arbitrary area
A. A. Samarskii, P. N. Vabishchevich, A. N. Zyl, P. P. Matus
Matem. Mod., 11:9 (1999),  71–82
44. Orographically induced evolution of stratiform clouds
P. N. Vabishchevich, T. G. Kazakova
Matem. Mod., 11:9 (1999),  23–37
45. Difference schemes for the transport equation. I
A. A. Samarskii, P. N. Vabishchevich
Differ. Uravn., 34:12 (1998),  1675–1685
46. Vector additive schemes for second-order evolution equations
V. N. Abrashin, P. N. Vabishchevich
Differ. Uravn., 34:12 (1998),  1666–1674
47. Regularization principle and stability of difference schemes
A. A. Samarskii, P. N. Vabishchevich
Fundam. Prikl. Mat., 4:3 (1998),  1097–1113
48. Numerical solving an inverse problem of source reconstruction for a parabolic equation
V. T. Borukhov, P. N. Vabishchevich
Matem. Mod., 10:11 (1998),  93–100
49. Coefficient stability of differential-operator equations and operator-difference schemes
A. A. Samarskii, P. N. Vabishchevich, P. P. Matus
Matem. Mod., 10:8 (1998),  103–113
50. Numerical studying problems of cylindric bar elastic-plastic torsion
P. N. Vabishchevich
Matem. Mod., 10:3 (1998),  48–60
51. Numerical studying problems of cylindric bar elastic torsion
P. N. Vabishchevich
Matem. Mod., 10:1 (1998),  63–72
52. Difference schemes for the problem of the conjugation of equations of hyperbolic and parabolic types
A. A. Samarskii, P. N. Vabishchevich, S. V. Lemeshevskii, P. P. Matus
Sibirsk. Mat. Zh., 39:4 (1998),  954–962
53. Second-order accurate finite-difference schemes on nonuniform grids
P. N. Vabishchevich, P. P. Matus, A. A. Samarskii
Zh. Vychisl. Mat. Mat. Fiz., 38:3 (1998),  413–424
54. Finite-difference schemes for time-dependent diffusion-convection problems
P. N. Vabishchevich, A. A. Samarskii
Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998),  207–219
55. Factorized domain decomposition difference schemes for convection-diffusion problems
A. A. Samarskii, P. N. Vabishchevich
Differ. Uravn., 33:7 (1997),  967–974
56. Iterative solution of a retrospective inverse problem of heat conduction
A. A. Samarskii, P. N. Vabishchevich, V. l. Vasiliev
Matem. Mod., 9:5 (1997),  119–127
57. Parallel domain decomposition algorithms for parabolic problems
P. N. Vabishchevich
Matem. Mod., 9:5 (1997),  77–86
58. Numerical methods for the unsteady Navier–Stokes equations using primitive variables and partially staggered grids
P. N. Vabishchevich, A. N. Pavlov, A. G. Churbanov
Matem. Mod., 9:4 (1997),  85–114
59. Stability of difference schemes for convection–diffusion problems
P. N. Vabishchevich, A. A. Samarskii
Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  188–192
60. Difference schemes of domain decomposition for nonstationary convection-diffusion problems
P. N. Vabishchevich
Differ. Uravn., 32:7 (1996),  923–927
61. Difference schemes of increased order of accuracy on nonuniform grids
A. A. Samarskii, P. N. Vabishchevich, P. P. Matus
Differ. Uravn., 32:2 (1996),  265–274
62. Устойчивость трехслойных проекционно-разностных схем
A. A. Samarskii, P. N. Vabishchevich
Matem. Mod., 8:9 (1996),  74–84
63. Numerical methods for unsteady incompressible flows using primitive variables and non-staggered grids
P. N. Vabishchevich, A. N. Pavlov, A. G. Churbanov
Matem. Mod., 8:7 (1996),  81–108
64. Numerical simulation of buoyancy-driven flows in complex domains
P. N. Vabishchevich, V. V. Chudanov, A. G. Churbanov
Matem. Mod., 8:1 (1996),  103–118
65. Vector additive difference schemes for first-order evolution equations
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996),  44–51
66. Vector additive schemes of domain decomposition for parabolic problems
A. A. Samarskii, P. N. Vabishchevich
Differ. Uravn., 31:9 (1995),  1563–1569
67. Difference schemes on locally condensing grids
P. N. Vabishchevich, G. I. Shishkin
Differ. Uravn., 31:7 (1995),  1179–1183
68. On a class of difference schemes on dynamic locally condensing grids
P. N. Vabishchevich, P. P. Matus, V. G. Rychagov
Differ. Uravn., 31:5 (1995),  849–857
69. Difference schemes on grids that are locally refining in time
P. N. Vabishchevich
Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 4,  22–28
70. Mathematical modeling mass transfer and crystallization in porous media
P. N. Vabishchevich, A. Ya. Gorbatchevski
Matem. Mod., 7:9 (1995),  15–22
71. Numerical solution of a problem for the elliptic equation with unsteady boundary conditions
P. N. Vabishchevich
Matem. Mod., 7:7 (1995),  49–60
72. Numerical solution of problems with singularities on locally refinig grids
P. N. Vabishchevich
Matem. Mod., 7:1 (1995),  61–68
73. Stability of projection-difference schemes for nonstationary problems in mathematical physics
P. N. Vabishchevich, A. A. Samarskiĭ
Zh. Vychisl. Mat. Mat. Fiz., 35:7 (1995),  1011–1021
74. The numerical simulation of unsteady convective-diffusion processes in a countercurrent
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 35:1 (1995),  46–52
75. Operator-difference equations of divergence type
P. N. Vabishchevich, P. P. Matus, V. S. Shchehlik
Differ. Uravn., 30:7 (1994),  1175–1186
76. Monotone difference schemes for convection/diffusion problems
P. N. Vabishchevich
Differ. Uravn., 30:3 (1994),  503–513
77. On a class of vector additive difference schemes
P. N. Vabishchevich
Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 9,  11–15
78. Mathematical modelling of wetting of the aeration zone in conditions of the nearly bedding subsoil waters
P. N. Vabishchevich, A. O. Danyarov
Matem. Mod., 6:11 (1994),  11–24
79. Regionally additive difference schemes with a stabilizing correction for parabolic problems
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 34:12 (1994),  1832–1842
80. Regularized three-layer difference schemes with nonselfadjoint operators
A. A. Samarskii, P. N. Vabishchevich
Differ. Uravn., 29:7 (1993),  1244–1251
81. Finite-difference methods for computing small oscillations of an incompressible fluid
P. N. Vabishchevich
Matem. Mod., 5:10 (1993),  79–90
82. Nonlocal perturbation of the initial value in ill-posed problems for the second order evolution equations
P. N. Vabishchevich
Matem. Mod., 4:5 (1992),  109–119
83. The mathematical models of the plastics injection moldingfor the thin-walled parts
V. V. Belikov, P. N. Vabishchevich, V. M. Goloviznin, Yu. V. Katieschkov
Matem. Mod., 4:5 (1992),  18–30
84. Continuation along space variable in the heat boundary inverse problem
P. N. Vabishchevich
Matem. Mod., 4:4 (1992),  44–54
85. Regularization difference schemes for the equations with nonselfadjoint operators
A. A. Samarskii, P. N. Vabishchevich
Matem. Mod., 4:2 (1992),  36–44
86. Numerical solution of a boundary-value problem for a parabolic equation with variable time direction
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 32:3 (1992),  434–442
87. Difference methods for solving a boundary inverse problem of heat conduction
P. N. Vabishchevich
Differ. Uravn., 27:7 (1991),  1114–1123
88. Numerical solution of elliptic boundary problems on composite grid
P. N. Vabishchevich
Matem. Mod., 3:8 (1991),  112–123
89. Numerical modelling of ground moistening
P. N. Vabishchevich, A. O. Danyarov, P. A. Pulatov
Matem. Mod., 3:6 (1991),  3–9
90. Modeling of crystal growth in porous medium from the binary solution
P. N. Vabishchevich, A. Ya. Gorbatchevski, I. V. Melikhov
Matem. Mod., 3:4 (1991),  31–37
91. Approximate solution of the modified Dirichlet problem
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 31:11 (1991),  1655–1669
92. Iterative methods of domain decomposition with overlap for elliptic boundary value problems
P. N. Vabishchevich
Differ. Uravn., 26:7 (1990),  1197–1207
93. Difference schemes for non-stable problems
A. A. Samarskii, P. N. Vabishchevich
Matem. Mod., 2:11 (1990),  89–98
94. Numerical investigation of the natural convection of a fluid with temperature-dependent viscosity
P. N. Vabishchevich, N. B. Esikova, O. P. Iliev
Matem. Mod., 2:3 (1990),  15–22
95. Iterative reduction of a mixed boundary value problem to the Dirichlet problem
P. N. Vabishchevich
Differ. Uravn., 25:7 (1989),  1177–1183
96. Numerical solution of inverse coefficient problem for a nonlinear parabolic equation
P. N. Vabishchevich, A. Yu. Denisenko
Matem. Mod., 1:8 (1989),  116–126
97. An adjoint formulation for the modelling of flow to imperfect well
P. N. Vabishchevich, M. D. Radzhabov
Matem. Mod., 1:7 (1989),  44–50
98. A numerical algorithm for conformal mapping
P. N. Vabishchevich, S. I. Pulatov
Matem. Mod., 1:1 (1989),  132–139
99. Difference schemes with domain decomposition for solving non-stationary problems
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 29:12 (1989),  1822–1829
100. Composite adaptive meshes in problems of mathematical physics
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 29:6 (1989),  902–914
101. Uniqueness of some inverse problems for elliptic equations
P. N. Vabishchevich
Differ. Uravn., 24:12 (1988),  2125–2129
102. An integro-iterative method for solving fundamental boundary value problems in mathematical physics
P. N. Vabishchevich, S. I. Pulatov
Differ. Uravn., 24:7 (1988),  1166–1171
103. Forward calculation difference schemes for some problems in mathematical physics
P. N. Vabishchevich
Differ. Uravn., 24:7 (1988),  1161–1166
104. Numerical solution of conjugate problems of heat- and mass-exchange taking into account phase transition
P. N. Vabishchevich, O. P. Iliev
Differ. Uravn., 23:7 (1987),  1127–1132
105. Numerical solution of a problem of pressurized filtration under a hydraulic engineering structure
P. N. Vabishchevich, R. V. Gassiev
Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1580–1584
106. Numerical realization of the method of fictitious domains for elliptic equations, based on the alternate-triangular method
P. N. Vabishchevich, R. V. Gassiev, P. A. Pulatov
Zh. Vychisl. Mat. Mat. Fiz., 27:9 (1987),  1381–1387
107. Numerical solution of the exterior Neumann problem
P. N. Vabishchevich, P. A. Pulatov
Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987),  536–543
108. Smoothing of difference solutions of unstable problems
P. N. Vabishchevich
Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 3,  28–33
109. Numerical solution of the inverse problem of the MHD-equilibrium of a plasma
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986),  1049–1062
110. An inverse problem of reconstruction of the right-hand side of an elliptic equation and its numerical solution
P. N. Vabishchevich
Differ. Uravn., 21:2 (1985),  277–284
111. A variational penalty method in interpolation and smoothing problems on an arbitrary observation grid
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 25:8 (1985),  1252–1255
112. Implicit difference schemes for nonstationary Navier–Stokes equations in variables of the flow-vortex function
P. N. Vabishchevich
Differ. Uravn., 20:7 (1984),  1135–1144
113. Difference methods for solution of certain ill-posed problems
P. N. Vabishchevich
Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 8,  3–9
114. Numerical solution of variational elliptic inequalities of fourth order
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984),  1312–1319
115. Numerical solution of boundary value problems for fourth order elliptic equations
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 24:8 (1984),  1196–1206
116. An approach to the approximate solution of problems of stationary convection of a viscous incompressible fluid
P. N. Vabishchevich, T. N. Vabishchevich
Differ. Uravn., 19:7 (1983),  1131–1140
117. Numerical solution of stationary problems of a viscous incompressible fluid
P. N. Vabishchevich, T. N. Vabishchevich
Differ. Uravn., 19:5 (1983),  852–860
118. Numerical solution of nonlocal elliptic problems
P. N. Vabishchevich
Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 5,  13–19
119. Uniqueness of the solution of an inverse problem for determining the right-hand side of an elliptic equation
P. N. Vabishchevich
Differ. Uravn., 18:8 (1982),  1450–1453
120. Solution of a problem with a free boundary for elliptic equations
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 22:5 (1982),  1109–1117
121. Nonlocal parabolic problems and the inverse problem of heat conduction
P. N. Vabishchevich
Differ. Uravn., 17:7 (1981),  1193–1199
122. Difference methods for the solution of the Cauchy problem for elliptic equations
P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 21:2 (1981),  509–511
123. Numerical solution of direct and inverse problem of MHD-equilibrium with surface current
P. N. Vabishchevich, L. M. Degtyarev, Yu. Yu. Poshekhonov
Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  491–500
124. Solution of the Hadamard problem by a Tikhonov-regularizing algorithm
Yu. A. Kriksin, V. B. Glasko, P. N. Vabishchevich
Zh. Vychisl. Mat. Mat. Fiz., 19:6 (1979),  1462–1470
125. The angular potential for the operator $\Delta+c(x)$
P. N. Vabishchevich, S. A. Gabov, P. V. Shvetsov
Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1162–1177
126. Angular potential for solving an elliptic equation with variable coefficients
P. N. Vabishchevich, S. A. Gabov
Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  652–664

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