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Vabishchevich Petr Nikolaevich

Publications in Math-Net.Ru

  1. Computational algorithm for the continuation of potential fields towards gravitating masses

    Num. Meth. Prog., 25:1 (2024),  1–9
  2. Difference schemes with weights for modelling fluid flows in the shallow water approximation

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

    Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023),  1799–1805
  4. 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
  5. Splitting schemes for one class of operator differential equations

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

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

    Zh. Vychisl. Mat. Mat. Fiz., 61:1 (2021),  95–107
  8. 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
  9. Alternating triangular schemes for second-order evolution equations

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

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

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

    Matem. Mod., 29:7 (2017),  44–62
  13. Vector domain decomposition schemes for parabolic equations

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

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

    Matem. Mod., 28:10 (2016),  110–124
  16. Numerical modeling of a fluid flow in anisotropic fractured porous media

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

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

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

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

    Matem. Mod., 26:9 (2014),  111–125
  21. Material properties database

    Matem. Mod., 26:8 (2014),  20–30
  22. Splitting scheme for poroelasticity and thermoelasticity problems

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

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

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

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

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

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

    Matem. Mod., 24:10 (2012),  133–148
  29. Explicit-implicit schemes for convection-diffusion-reaction problems

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

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

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

    Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  253–262
  33. 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
  34. Explicit-implicit numerical algorithms for porous media multiphase flow problems

    Matem. Mod., 22:4 (2010),  118–128
  35. Additive schemes (splitting schemes) for systems of partial derivative equations

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

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

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

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

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

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

    Differ. Uravn., 40:7 (2004),  936–943
  42. 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
  43. Numerical Solution of the Identification Problem for the Lower Coefficient of an Elliptic Equation

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

    Matem. Mod., 14:6 (2002),  91–104
  45. Monotone finite-difference schemes on triangular grids for convection-diffusion problems

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

    Matem. Mod., 13:10 (2001),  91–102
  47. Difference methods for solving mathematical physics problems on unstructured grids

    Matem. Mod., 13:2 (2001),  5–16
  48. Finite-difference approximations to the transport equation. II

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

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

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

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

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

    Matem. Mod., 11:9 (1999),  71–82
  54. Orographically induced evolution of stratiform clouds

    Matem. Mod., 11:9 (1999),  23–37
  55. Difference schemes for the transport equation. I

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

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

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

    Matem. Mod., 10:11 (1998),  93–100
  59. Coefficient stability of differential-operator equations and operator-difference schemes

    Matem. Mod., 10:8 (1998),  103–113
  60. Numerical studying problems of cylindric bar elastic-plastic torsion

    Matem. Mod., 10:3 (1998),  48–60
  61. Numerical studying problems of cylindric bar elastic torsion

    Matem. Mod., 10:1 (1998),  63–72
  62. Difference schemes for the problem of the conjugation of equations of hyperbolic and parabolic types

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

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

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

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

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

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

    Matem. Mod., 9:5 (1997),  119–127
  69. Parallel domain decomposition algorithms for parabolic problems

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

    Matem. Mod., 9:4 (1997),  85–114
  71. Stability of difference schemes for convection–diffusion problems

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

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

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

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

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

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

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

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

    Matem. Mod., 8:1 (1996),  103–118
  80. Vector additive difference schemes for first-order evolution equations

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

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

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

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

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

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

    Matem. Mod., 7:7 (1995),  49–60
  87. Numerical solution of problems with singularities on locally refinig grids

    Matem. Mod., 7:1 (1995),  61–68
  88. Stability of projection-difference schemes for nonstationary problems in mathematical physics

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

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

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

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

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

    Matem. Mod., 6:11 (1994),  11–24
  94. Regionally additive difference schemes with a stabilizing correction for parabolic problems

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

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

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

    Matem. Mod., 4:5 (1992),  109–119
  98. The mathematical models of the plastics injection moldingfor the thin-walled parts

    Matem. Mod., 4:5 (1992),  18–30
  99. Continuation along space variable in the heat boundary inverse problem

    Matem. Mod., 4:4 (1992),  44–54
  100. Regularization difference schemes for the equations with nonselfadjoint operators

    Matem. Mod., 4:2 (1992),  36–44
  101. 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
  102. Difference methods for solving a boundary inverse problem of heat conduction

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

    Matem. Mod., 3:8 (1991),  112–123
  104. Numerical modelling of ground moistening

    Matem. Mod., 3:6 (1991),  3–9
  105. Modeling of crystal growth in porous medium from the binary solution

    Matem. Mod., 3:4 (1991),  31–37
  106. Approximate solution of the modified Dirichlet problem

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

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

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

    Matem. Mod., 2:3 (1990),  15–22
  110. Iterative reduction of a mixed boundary value problem to the Dirichlet problem

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

    Matem. Mod., 1:8 (1989),  116–126
  112. An adjoint formulation for the modelling of flow to imperfect well

    Matem. Mod., 1:7 (1989),  44–50
  113. A numerical algorithm for conformal mapping

    Matem. Mod., 1:1 (1989),  132–139
  114. Difference schemes with domain decomposition for solving non-stationary problems

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

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

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

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

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

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

    Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1580–1584
  121. 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
  122. Numerical solution of the exterior Neumann problem

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

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

    Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986),  1049–1062
  125. 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
  126. A variational penalty method in interpolation and smoothing problems on an arbitrary observation grid

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

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

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

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

    Zh. Vychisl. Mat. Mat. Fiz., 24:8 (1984),  1196–1206
  131. 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
  132. An approach to the approximate solution of problems of stationary convection of a viscous incompressible fluid

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

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

    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 5,  13–19
  135. 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
  136. 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
  137. Solution of a problem with a free boundary for elliptic equations

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

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

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

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

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

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

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

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

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

    Dokl. Akad. Nauk SSSR, 243:4 (1978),  835–838
  147. 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

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