RUS  ENG
Full version
PEOPLE

Vabishchevich Petr Nikolaevich

Publications in Math-Net.Ru

  1. Decomposition-composition schemes for systems of second-order evolutionary equations

    Zh. Vychisl. Mat. Mat. Fiz., 65:6 (2025),  850–860
  2. Computational algorithm for the continuation of potential fields towards gravitating masses

    Num. Meth. Prog., 25:1 (2024),  1–9
  3. Difference operator approximations on nonstandard rectangular grid

    Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1097–1111
  4. Difference schemes with weights for modelling fluid flows in the shallow water approximation

    Num. Meth. Prog., 24:4 (2023),  450–462
  5. Three-level schemes with double change in the time step

    Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023),  1799–1805
  6. On stability of an approximate solution of the Cauchy problem for some first-order integrodifferential equations

    Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023),  328–335
  7. Splitting schemes for one class of operator differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022),  1059–1066
  8. Numerical solution of a boundary value problem with effective boundary conditions for calculation of gravity

    Mathematical notes of NEFU, 28:1 (2021),  93–113
  9. Monotone schemes for convection–diffusion problems with convective transport in different forms

    Zh. Vychisl. Mat. Mat. Fiz., 61:1 (2021),  95–107
  10. Computational identification of the time dependence of the right-hand side of a hyperbolic equation

    Zh. Vychisl. Mat. Mat. Fiz., 59:9 (2019),  1537–1545
  11. Alternating triangular schemes for second-order evolution equations

    Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019),  277–285
  12. Numerical solution of time-dependent problems with different time scales

    Zh. Vychisl. Mat. Mat. Fiz., 58:10 (2018),  1604–1615
  13. Numerical solution of time-dependent problems with a fractional-power elliptic operator

    Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  414–430
  14. Numerical modeling of neutron diffusion non-stationary problems

    Mat. Model., 29:7 (2017),  44–62
  15. Vector domain decomposition schemes for parabolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017),  1530–1547
  16. Time step selection for the numerical solution of boundary value problems for parabolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  842–853
  17. Numerical analysis of temperature dynamics of railway embankment in permafrost

    Mat. Model., 28:10 (2016),  110–124
  18. Numerical modeling of a fluid flow in anisotropic fractured porous media

    Sib. Zh. Vychisl. Mat., 19:1 (2016),  61–74
  19. Alternating triangular schemes for convection-diffusion problems

    Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016),  587–604
  20. Numerical solution of an inverse problem of filtration

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:4 (2015),  79–89
  21. Computational identification of the right-hand side of a parabolic equation

    Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015),  1020–1027
  22. Numerical modeling of thermal stabilization of filter ground

    Mat. Model., 26:9 (2014),  111–125
  23. Material properties database

    Mat. Model., 26:8 (2014),  20–30
  24. Splitting scheme for poroelasticity and thermoelasticity problems

    Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014),  1345–1355
  25. Stable difference schemes for certain parabolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 54:7 (2014),  1186–1193
  26. Three-level schemes of the alternating triangular method

    Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  942–952
  27. Unconditionally stable schemes for convection-diffusion problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 3,  3–15
  28. Operator-Difference Schemes for a Class of Systems of Evolution Equations

    Mat. Zametki, 93:1 (2013),  29–44
  29. Flux-splitting schemes for parabolic equations with mixed derivatives

    Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1314–1328
  30. Numerical solving unsteady problems for the system of the Nernst–Planck equations

    Mat. Model., 24:10 (2012),  133–148
  31. Explicit-implicit schemes for convection-diffusion-reaction problems

    Sib. Zh. Vychisl. Mat., 15:4 (2012),  359–369
  32. Flux-splitting schemes for parabolic problems

    Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1415–1425
  33. SM-stability of operator-difference schemes

    Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1002–1009
  34. Construction of splitting schemes based on transition operator approximation

    Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  253–262
  35. Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators

    Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1121–1132
  36. Explicit-implicit numerical algorithms for porous media multiphase flow problems

    Mat. Model., 22:4 (2010),  118–128
  37. Additive schemes (splitting schemes) for systems of partial derivative equations

    Num. Meth. Prog., 11:1 (2010),  1–6
  38. Additive schemes for certain operator-differential equations

    Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010),  2144–2154
  39. Factorized SM-stable two-level schemes

    Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010),  1919–1925
  40. Regularized additive operator-difference schemes

    Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  449–457
  41. Two-layer schemes of improved order of approximation for nonstationary problems in mathematical physics

    Zh. Vychisl. Mat. Mat. Fiz., 50:1 (2010),  118–130
  42. Convergence of Metropolis-Type Algorithms for a Large Canonical Ensemble

    Mat. Zametki, 82:4 (2007),  519–524
  43. Difference Schemes for Nonstationary Vector Problems

    Differ. Uravn., 40:7 (2004),  936–943
  44. Numerical solution of the problem of the identification of the right-hand side of a parabolic equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 1,  29–37
  45. Numerical Solution of the Identification Problem for the Lower Coefficient of an Elliptic Equation

    Differ. Uravn., 38:7 (2002),  943–948
  46. Numerical solution of a problem of potential field continuation

    Mat. Model., 14:6 (2002),  91–104
  47. Monotone finite-difference schemes on triangular grids for convection-diffusion problems

    Zh. Vychisl. Mat. Mat. Fiz., 42:9 (2002),  1368–1382
  48. Additive difference schemes for filtration problems in multilayer systems

    Mat. Model., 13:10 (2001),  91–102
  49. Difference methods for solving mathematical physics problems on unstructured grids

    Mat. Model., 13:2 (2001),  5–16
  50. Finite-difference approximations to the transport equation. II

    Differ. Uravn., 36:7 (2000),  963–970
  51. Problems in compressible fluid dynamics with a variable viscosity

    Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000),  1813–1822
  52. Nonlinear regularized finite-difference schemes for the multidimensional transport equation

    Zh. Vychisl. Mat. Mat. Fiz., 40:6 (2000),  900–907
  53. Finite difference schemes for convection-diffusion problems on irregular meshes

    Zh. Vychisl. Mat. Mat. Fiz., 40:5 (2000),  726–739
  54. Stability of operator-difference schemes

    Differ. Uravn., 35:2 (1999),  152–187
  55. Difference scheme of the second order of accuracy for dirichlet problem in arbitrary area

    Mat. Model., 11:9 (1999),  71–82
  56. Orographically induced evolution of stratiform clouds

    Mat. Model., 11:9 (1999),  23–37
  57. Difference schemes for the transport equation. I

    Differ. Uravn., 34:12 (1998),  1675–1685
  58. Vector additive schemes for second-order evolution equations

    Differ. Uravn., 34:12 (1998),  1666–1674
  59. Regularization principle and stability of difference schemes

    Fundam. Prikl. Mat., 4:3 (1998),  1097–1113
  60. Numerical solving an inverse problem of source reconstruction for a parabolic equation

    Mat. Model., 10:11 (1998),  93–100
  61. Coefficient stability of differential-operator equations and operator-difference schemes

    Mat. Model., 10:8 (1998),  103–113
  62. Numerical studying problems of cylindric bar elastic-plastic torsion

    Mat. Model., 10:3 (1998),  48–60
  63. Numerical studying problems of cylindric bar elastic torsion

    Mat. Model., 10:1 (1998),  63–72
  64. Difference schemes for the problem of the conjugation of equations of hyperbolic and parabolic types

    Sibirsk. Mat. Zh., 39:4 (1998),  954–962
  65. Second-order accurate finite-difference schemes on nonuniform grids

    Zh. Vychisl. Mat. Mat. Fiz., 38:3 (1998),  413–424
  66. Finite-difference schemes for time-dependent diffusion-convection problems

    Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998),  207–219
  67. Stability of difference schemes in norms that are integral with respect to time

    Dokl. Akad. Nauk, 354:6 (1997),  745–747
  68. Iterative methods for multicomponent splitting

    Dokl. Akad. Nauk, 354:3 (1997),  310–312
  69. Factorized domain decomposition difference schemes for convection-diffusion problems

    Differ. Uravn., 33:7 (1997),  967–974
  70. Iterative solution of a retrospective inverse problem of heat conduction

    Mat. Model., 9:5 (1997),  119–127
  71. Parallel domain decomposition algorithms for parabolic problems

    Mat. Model., 9:5 (1997),  77–86
  72. Numerical methods for the unsteady Navier–Stokes equations using primitive variables and partially staggered grids

    Mat. Model., 9:4 (1997),  85–114
  73. Stability of difference schemes for convection–diffusion problems

    Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  188–192
  74. Iterative cluster aggregation methods for systems of linear equations

    Dokl. Akad. Nauk, 349:1 (1996),  22–25
  75. Factorized region-additive schemes for convection/diffusion problems

    Dokl. Akad. Nauk, 346:6 (1996),  742–745
  76. Difference schemes for hydrodynamic problems in “stream function-velocity-vortex” variables

    Dokl. Akad. Nauk, 346:4 (1996),  442–444
  77. Difference schemes of domain decomposition for nonstationary convection-diffusion problems

    Differ. Uravn., 32:7 (1996),  923–927
  78. Difference schemes of increased order of accuracy on nonuniform grids

    Differ. Uravn., 32:2 (1996),  265–274
  79. Óñòîé÷èâîñòü òðåõñëîéíûõ ïðîåêöèîííî-ðàçíîñòíûõ ñõåì

    Mat. Model., 8:9 (1996),  74–84
  80. Numerical methods for unsteady incompressible flows using primitive variables and non-staggered grids

    Mat. Model., 8:7 (1996),  81–108
  81. Numerical simulation of buoyancy-driven flows in complex domains

    Mat. Model., 8:1 (1996),  103–118
  82. Vector additive difference schemes for first-order evolution equations

    Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996),  44–51
  83. Vector additive schemes of domain decomposition for parabolic problems

    Differ. Uravn., 31:9 (1995),  1563–1569
  84. Difference schemes on locally condensing grids

    Differ. Uravn., 31:7 (1995),  1179–1183
  85. On a class of difference schemes on dynamic locally condensing grids

    Differ. Uravn., 31:5 (1995),  849–857
  86. Difference schemes on grids that are locally refining in time

    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 4,  22–28
  87. Mathematical modeling mass transfer and crystallization in porous media

    Mat. Model., 7:9 (1995),  15–22
  88. Numerical solution of a problem for the elliptic equation with unsteady boundary conditions

    Mat. Model., 7:7 (1995),  49–60
  89. Numerical solution of problems with singularities on locally refinig grids

    Mat. Model., 7:1 (1995),  61–68
  90. Stability of projection-difference schemes for nonstationary problems in mathematical physics

    Zh. Vychisl. Mat. Mat. Fiz., 35:7 (1995),  1011–1021
  91. The numerical simulation of unsteady convective-diffusion processes in a countercurrent

    Zh. Vychisl. Mat. Mat. Fiz., 35:1 (1995),  46–52
  92. Operator-difference equations of divergence type

    Differ. Uravn., 30:7 (1994),  1175–1186
  93. Monotone difference schemes for convection/diffusion problems

    Differ. Uravn., 30:3 (1994),  503–513
  94. On a class of vector additive difference schemes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 9,  11–15
  95. Mathematical modelling of wetting of the aeration zone in conditions of the nearly bedding subsoil waters

    Mat. Model., 6:11 (1994),  11–24
  96. Regionally additive difference schemes with a stabilizing correction for parabolic problems

    Zh. Vychisl. Mat. Mat. Fiz., 34:12 (1994),  1832–1842
  97. Regularized three-layer difference schemes with nonselfadjoint operators

    Differ. Uravn., 29:7 (1993),  1244–1251
  98. Finite-difference methods for computing small oscillations of an incompressible fluid

    Mat. Model., 5:10 (1993),  79–90
  99. Nonlocal perturbation of the initial value in ill-posed problems for the second order evolution equations

    Mat. Model., 4:5 (1992),  109–119
  100. The mathematical models of the plastics injection moldingfor the thin-walled parts

    Mat. Model., 4:5 (1992),  18–30
  101. Continuation along space variable in the heat boundary inverse problem

    Mat. Model., 4:4 (1992),  44–54
  102. Regularization difference schemes for the equations with nonselfadjoint operators

    Mat. Model., 4:2 (1992),  36–44
  103. Numerical solution of a boundary-value problem for a parabolic equation with variable time direction

    Zh. Vychisl. Mat. Mat. Fiz., 32:3 (1992),  434–442
  104. Difference methods for solving a boundary inverse problem of heat conduction

    Differ. Uravn., 27:7 (1991),  1114–1123
  105. Numerical solution of elliptic boundary problems on composite grid

    Mat. Model., 3:8 (1991),  112–123
  106. Numerical modelling of ground moistening

    Mat. Model., 3:6 (1991),  3–9
  107. Modeling of crystal growth in porous medium from the binary solution

    Mat. Model., 3:4 (1991),  31–37
  108. Approximate solution of the modified Dirichlet problem

    Zh. Vychisl. Mat. Mat. Fiz., 31:11 (1991),  1655–1669
  109. Iterative methods of domain decomposition with overlap for elliptic boundary value problems

    Differ. Uravn., 26:7 (1990),  1197–1207
  110. Difference schemes for non-stable problems

    Mat. Model., 2:11 (1990),  89–98
  111. Numerical investigation of the natural convection of a fluid with temperature-dependent viscosity

    Mat. Model., 2:3 (1990),  15–22
  112. Iterative reduction of a mixed boundary value problem to the Dirichlet problem

    Differ. Uravn., 25:7 (1989),  1177–1183
  113. Numerical solution of inverse coefficient problem for a nonlinear parabolic equation

    Mat. Model., 1:8 (1989),  116–126
  114. An adjoint formulation for the modelling of flow to imperfect well

    Mat. Model., 1:7 (1989),  44–50
  115. A numerical algorithm for conformal mapping

    Mat. Model., 1:1 (1989),  132–139
  116. Difference schemes with domain decomposition for solving non-stationary problems

    Zh. Vychisl. Mat. Mat. Fiz., 29:12 (1989),  1822–1829
  117. Composite adaptive meshes in problems of mathematical physics

    Zh. Vychisl. Mat. Mat. Fiz., 29:6 (1989),  902–914
  118. Uniqueness of some inverse problems for elliptic equations

    Differ. Uravn., 24:12 (1988),  2125–2129
  119. An integro-iterative method for solving fundamental boundary value problems in mathematical physics

    Differ. Uravn., 24:7 (1988),  1166–1171
  120. Forward calculation difference schemes for some problems in mathematical physics

    Differ. Uravn., 24:7 (1988),  1161–1166
  121. Numerical solution of conjugate problems of heat- and mass-exchange taking into account phase transition

    Differ. Uravn., 23:7 (1987),  1127–1132
  122. Numerical solution of a problem of pressurized filtration under a hydraulic engineering structure

    Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1580–1584
  123. Numerical realization of the method of fictitious domains for elliptic equations, based on the alternate-triangular method

    Zh. Vychisl. Mat. Mat. Fiz., 27:9 (1987),  1381–1387
  124. Numerical solution of the exterior Neumann problem

    Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987),  536–543
  125. Smoothing of difference solutions of unstable problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 3,  28–33
  126. Numerical solution of the inverse problem of the MHD-equilibrium of a plasma

    Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986),  1049–1062
  127. An inverse problem of reconstruction of the right-hand side of an elliptic equation and its numerical solution

    Differ. Uravn., 21:2 (1985),  277–284
  128. A variational penalty method in interpolation and smoothing problems on an arbitrary observation grid

    Zh. Vychisl. Mat. Mat. Fiz., 25:8 (1985),  1252–1255
  129. Implicit difference schemes for nonstationary Navier–Stokes equations in variables of the flow-vortex function

    Differ. Uravn., 20:7 (1984),  1135–1144
  130. Difference methods for solution of certain ill-posed problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 8,  3–9
  131. Numerical solution of variational elliptic inequalities of fourth order

    Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984),  1312–1319
  132. Numerical solution of boundary value problems for fourth order elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 24:8 (1984),  1196–1206
  133. Realization of boundary conditions in the solution of Navier–Stokes equations in “stream function-velocity vortex” variables

    Dokl. Akad. Nauk SSSR, 273:1 (1983),  22–26
  134. An approach to the approximate solution of problems of stationary convection of a viscous incompressible fluid

    Differ. Uravn., 19:7 (1983),  1131–1140
  135. Numerical solution of stationary problems of a viscous incompressible fluid

    Differ. Uravn., 19:5 (1983),  852–860
  136. Numerical solution of nonlocal elliptic problems

    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 5,  13–19
  137. On a method of numerical solution on the first boundary-value problem in the plane for quasilinear elliptic equations

    Dokl. Akad. Nauk SSSR, 262:5 (1982),  1040–1043
  138. Uniqueness of the solution of an inverse problem for determining the right-hand side of an elliptic equation

    Differ. Uravn., 18:8 (1982),  1450–1453
  139. Solution of a problem with a free boundary for elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 22:5 (1982),  1109–1117
  140. Nonlocal parabolic problems and the inverse problem of heat conduction

    Differ. Uravn., 17:7 (1981),  1193–1199
  141. Difference methods for the solution of the Cauchy problem for elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 21:2 (1981),  509–511
  142. Numerical solution of direct and inverse problem of MHD-equilibrium with surface current

    Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  491–500
  143. A method of solution of the free-boundary problem for elliptic equations and systems

    Dokl. Akad. Nauk SSSR, 247:6 (1979),  1342–1346
  144. On the uniqueness of some external inverse problems for a metaharmonic potential

    Dokl. Akad. Nauk SSSR, 245:5 (1979),  1033–1036
  145. Solution of the Hadamard problem by a Tikhonov-regularizing algorithm

    Zh. Vychisl. Mat. Mat. Fiz., 19:6 (1979),  1462–1470
  146. The angular potential for the operator $\Delta+c(x)$

    Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1162–1177
  147. Angular potential for solving an elliptic equation with variable coefficients

    Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  652–664
  148. The angular potential for a divergence elliptic operator

    Dokl. Akad. Nauk SSSR, 243:4 (1978),  835–838
  149. On the solution of the Cauchy problem for Laplace's equation in a doubly connected domain

    Dokl. Akad. Nauk SSSR, 241:6 (1978),  1257–1260

© Steklov Math. Inst. of RAS, 2026