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Vabishchevich, Petr Nikolaevich
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person28431
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/193948
https://orcid.org/0000-0002-2040-4411

Publications in Math-Net.Ru Citations
2024
1. P. N. Vabishchevich, “Computational algorithm for the continuation of potential fields towards gravitating masses”, Num. Meth. Prog., 25:1 (2024),  1–9  mathnet
2. P. N. Vabishchevich, “Difference operator approximations on nonstandard rectangular grid”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1097–1111  mathnet  elib; Comput. Math. Math. Phys., 64:7 (2024), 1367–1380
2023
3. P. N. Vabishchevich, M. M. Chernyshov, “Difference schemes with weights for modelling fluid flows in the shallow water approximation”, Num. Meth. Prog., 24:4 (2023),  450–462  mathnet
4. P. N. Vabishchevich, “Three-level schemes with double change in the time step”, Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023),  1799–1805  mathnet  elib; Comput. Math. Math. Phys., 63:11 (2023), 1989–1995 1
5. P. N. Vabishchevich, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 63:2 (2023), 311–318
2022
6. P. N. Vabishchevich, “Splitting schemes for one class of operator differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022),  1059–1066  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:7 (2022), 1033–1040
2021
7. D. Kh. Ivanov, P. N. Vabishchevich, “Numerical solution of a boundary value problem with effective boundary conditions for calculation of gravity”, Mathematical notes of NEFU, 28:1 (2021),  93–113  mathnet  elib
8. P. N. Vabishchevich, “Monotone schemes for convection–diffusion problems with convective transport in different forms”, Zh. Vychisl. Mat. Mat. Fiz., 61:1 (2021),  95–107  mathnet  elib; Comput. Math. Math. Phys., 61:1 (2021), 90–102  isi  scopus 3
2019
9. P. N. Vabishchevich, “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  mathnet  elib; Comput. Math. Math. Phys., 59:9 (2019), 1475–1483  isi  scopus 4
10. P. N. Vabishchevich, “Alternating triangular schemes for second-order evolution equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019),  277–285  mathnet  elib; Comput. Math. Math. Phys., 59:2 (2019), 266–274  isi  scopus
2018
11. P. N. Vabishchevich, P. E. Zakharov, “Numerical solution of time-dependent problems with different time scales”, Zh. Vychisl. Mat. Mat. Fiz., 58:10 (2018),  1604–1615  mathnet  elib; Comput. Math. Math. Phys., 58:10 (2018), 1552–1561  isi  scopus 1
12. P. N. Vabishchevich, “Numerical solution of time-dependent problems with a fractional-power elliptic operator”, Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  414–430  mathnet  elib; Comput. Math. Math. Phys., 58:3 (2018), 394–409  isi  scopus 2
2017
13. A. V. Avvakumov, P. N. Vabishchevich, A. O. Vasilev, V. F. Strizhev, “Numerical modeling of neutron diffusion non-stationary problems”, Matem. Mod., 29:7 (2017),  44–62  mathnet  elib 3
14. P. N. Vabishchevich, “Vector domain decomposition schemes for parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017),  1530–1547  mathnet  elib; Comput. Math. Math. Phys., 57:9 (2017), 1511–1527  isi  elib  scopus 5
15. P. N. Vabishchevich, A. O. Vasil'ev, “Time step selection for the numerical solution of boundary value problems for parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  842–853  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:5 (2017), 843–853  isi  scopus 1
2016
16. P. N. Vabishchevich, S. P. Varlamov, V. I. Vasiliev, M. V. Vasilieva, S. P. Stepanov, “Numerical analysis of temperature dynamics of railway embankment in permafrost”, Matem. Mod., 28:10 (2016),  110–124  mathnet  elib; Math. Models Comput. Simul., 9:3 (2017), 292–304  scopus 8
17. P. N. Vabishchevich, A. V. Grigoriev, “Numerical modeling of a fluid flow in anisotropic fractured porous media”, Sib. Zh. Vychisl. Mat., 19:1 (2016),  61–74  mathnet  mathscinet  elib; Num. Anal. Appl., 9:1 (2016), 45–56  isi  elib  scopus 9
18. P. N. Vabishchevich, P. E. Zakharov, “Alternating triangular schemes for convection-diffusion problems”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016),  587–604  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 56:4 (2016), 576–592  isi  scopus 5
2015
19. P. N. Vabishchevich, V. l. Vasil'ev, M. V. Vasil'eva, D. Ya. Nikiforov, “Numerical solution of an inverse problem of filtration”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:4 (2015),  79–89  mathnet  elib
20. P. N. Vabishchevich, V. l. Vasil'ev, M. V. Vasil'eva, “Computational identification of the right-hand side of a parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015),  1020–1027  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:6 (2015), 1015–1021  isi  elib  scopus 31
2014
21. P. N. Vabishchevich, M. V. Vasilyeva, N. V. Pavlova, “Numerical modeling of thermal stabilization of filter ground”, Matem. Mod., 26:9 (2014),  111–125  mathnet; Math. Models Comput. Simul., 7:2 (2015), 154–164  scopus 9
22. V. V. Belikov, N. P. Vabishchevich, P. N. Vabishchevich, U. V. Katishkov, N. A. Mosunova, “Material properties database”, Matem. Mod., 26:8 (2014),  20–30  mathnet; Math. Models Comput. Simul., 7:2 (2015), 95–102  scopus 4
23. P. N. Vabishchevich, M. V. Vasil'eva, A. E. Kolesov, “Splitting scheme for poroelasticity and thermoelasticity problems”, Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014),  1345–1355  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 54:8 (2014), 1305–1315  isi  elib  scopus 14
24. N. M. Afanas'eva, P. N. Vabishchevich, “Stable difference schemes for certain parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 54:7 (2014),  1186–1193  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 54:7 (2014), 1159–1166  isi  elib  scopus 1
25. P. N. Vabishchevich, “Three-level schemes of the alternating triangular method”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  942–952  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:6 (2014), 953–962  isi  elib  scopus 6
2013
26. N. M. Afanas'eva, P. N. Vabishchevich, M. V. Vasil'eva, “Unconditionally stable schemes for convection-diffusion problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 3,  3–15  mathnet; Russian Math. (Iz. VUZ), 57:3 (2013), 1–11  scopus 20
27. P. N. Vabishchevich, “Operator-Difference Schemes for a Class of Systems of Evolution Equations”, Mat. Zametki, 93:1 (2013),  29–44  mathnet  mathscinet  zmath  elib; Math. Notes, 93:1 (2013), 36–49  isi  elib  scopus 1
28. P. N. Vabishchevich, “Flux-splitting schemes for parabolic equations with mixed derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1314–1328  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:8 (2013), 1139–1152  isi  elib  scopus 8
2012
29. P. N. Vabishchevich, O. P. Iliev, “Numerical solving unsteady problems for the system of the Nernst–Planck equations”, Matem. Mod., 24:10 (2012),  133–148  mathnet  mathscinet; Math. Models Comput. Simul., 5:3 (2013), 229–243  scopus 1
30. P. N. Vabishchevich, M. V. Vasil'eva, “Explicit-implicit schemes for convection-diffusion-reaction problems”, Sib. Zh. Vychisl. Mat., 15:4 (2012),  359–369  mathnet  elib; Num. Anal. Appl., 5:4 (2012), 297–306  scopus 20
31. P. N. Vabishchevich, “Flux-splitting schemes for parabolic problems”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1415–1425  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:8 (2012), 1128–1138  isi  elib  scopus 8
32. P. N. Vabishchevich, “SM-stability of operator-difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1002–1009  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:6 (2012), 887–894  isi  elib  scopus 4
33. P. N. Vabishchevich, “Construction of splitting schemes based on transition operator approximation”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  253–262  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 52:2 (2012), 235–244  isi  elib  scopus 3
2011
34. P. N. Vabishchevich, “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  mathnet  mathscinet; Comput. Math. Math. Phys., 51:6 (2011), 1050–1060  isi  scopus 5
2010
35. P. N. Vabishchevich, “Explicit-implicit numerical algorithms for porous media multiphase flow problems”, Matem. Mod., 22:4 (2010),  118–128  mathnet  mathscinet; Math. Models Comput. Simul., 2:6 (2010), 682–690  scopus 4
36. P. N. Vabishchevich, “Additive schemes (splitting schemes) for systems of partial derivative equations”, Num. Meth. Prog., 11:1 (2010),  1–6  mathnet 1
37. P. N. Vabishchevich, “Additive schemes for certain operator-differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010),  2144–2154  mathnet; Comput. Math. Math. Phys., 50:12 (2010), 2033–2043  scopus 12
38. P. N. Vabishchevich, “Factorized SM-stable two-level schemes”, Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010),  1919–1925  mathnet; Comput. Math. Math. Phys., 50:11 (2010), 1818–1824  isi  scopus 2
39. P. N. Vabishchevich, “Regularized additive operator-difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  449–457  mathnet  mathscinet; Comput. Math. Math. Phys., 50:3 (2010), 428–436  isi  scopus 6
40. P. N. Vabishchevich, “Two-layer schemes of improved order of approximation for nonstationary problems in mathematical physics”, Zh. Vychisl. Mat. Mat. Fiz., 50:1 (2010),  118–130  mathnet  mathscinet; Comput. Math. Math. Phys., 50:1 (2010), 112–123  isi  scopus 12
2007
41. P. N. Vabishchevich, “Convergence of Metropolis-Type Algorithms for a Large Canonical Ensemble”, Mat. Zametki, 82:4 (2007),  519–524  mathnet  mathscinet  zmath  elib; Math. Notes, 82:4 (2007), 464–468  isi  scopus
2004
42. P. N. Vabishchevich, “Difference Schemes for Nonstationary Vector Problems”, Differ. Uravn., 40:7 (2004),  936–943  mathnet  mathscinet; Differ. Equ., 40:7 (2004), 1000–1008 7
2003
43. P. N. Vabishchevich, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:1 (2003), 27–35 2
2002
44. P. N. Vabishchevich, “Numerical Solution of the Identification Problem for the Lower Coefficient of an Elliptic Equation”, Differ. Uravn., 38:7 (2002),  943–948  mathnet  mathscinet; Differ. Equ., 38:7 (2002), 1000–1006 3
45. P. N. Vabishchevich, P. A. Pulatov, “Numerical solution of a problem of potential field continuation”, Matem. Mod., 14:6 (2002),  91–104  mathnet  mathscinet  zmath
46. P. N. Vabishchevich, A. A. Samarskii, “Monotone finite-difference schemes on triangular grids for convection-diffusion problems”, Zh. Vychisl. Mat. Mat. Fiz., 42:9 (2002),  1368–1382  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:9 (2002), 1317–1330 1
2001
47. E. A. Hayryan, P. N. Vabishchevich, M. Pavlus, A. V. Fedorov, “Additive difference schemes for filtration problems in multilayer systems”, Matem. Mod., 13:10 (2001),  91–102  mathnet  mathscinet  zmath 2
48. A. A. Samarskii, P. N. Vabishchevich, “Difference methods for solving mathematical physics problems on unstructured grids”, Matem. Mod., 13:2 (2001),  5–16  mathnet  mathscinet  zmath 1
2000
49. A. A. Samarskii, P. N. Vabishchevich, “Finite-difference approximations to the transport equation. II”, Differ. Uravn., 36:7 (2000),  963–970  mathnet; Differ. Equ., 36:7 (2000), 1069–1077 5
50. P. N. Vabishchevich, A. A. Samarskii, “Problems in compressible fluid dynamics with a variable viscosity”, Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000),  1813–1822  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:12 (2000), 1741–1750 10
51. P. N. Vabishchevich, V. A. Pervichko, A. A. Samarskii, V. V. Chudanov, “Nonlinear regularized finite-difference schemes for the multidimensional transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 40:6 (2000),  900–907  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 40:6 (2000), 860–867 5
52. P. N. Vabishchevich, A. A. Samarskii, “Finite difference schemes for convection-diffusion problems on irregular meshes”, Zh. Vychisl. Mat. Mat. Fiz., 40:5 (2000),  726–739  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 40:5 (2000), 692–704 10
1999
53. A. A. Samarskii, P. N. Vabishchevich, A. V. Gulin, “Stability of operator-difference schemes”, Differ. Uravn., 35:2 (1999),  152–187  mathnet  mathscinet; Differ. Equ., 35:2 (1999), 151–186 2
54. A. A. Samarskii, P. N. Vabishchevich, A. N. Zyl, P. P. Matus, “Difference scheme of the second order of accuracy for dirichlet problem in arbitrary area”, Matem. Mod., 11:9 (1999),  71–82  mathnet  mathscinet  zmath 1
55. P. N. Vabishchevich, T. G. Kazakova, “Orographically induced evolution of stratiform clouds”, Matem. Mod., 11:9 (1999),  23–37  mathnet
1998
56. A. A. Samarskii, P. N. Vabishchevich, “Difference schemes for the transport equation. I”, Differ. Uravn., 34:12 (1998),  1675–1685  mathnet  mathscinet; Differ. Equ., 34:12 (1998), 1682–1692 2
57. V. N. Abrashin, P. N. Vabishchevich, “Vector additive schemes for second-order evolution equations”, Differ. Uravn., 34:12 (1998),  1666–1674  mathnet  mathscinet; Differ. Equ., 34:12 (1998), 1673–1681 2
58. A. A. Samarskii, P. N. Vabishchevich, “Regularization principle and stability of difference schemes”, Fundam. Prikl. Mat., 4:3 (1998),  1097–1113  mathnet  mathscinet  zmath
59. V. T. Borukhov, P. N. Vabishchevich, “Numerical solving an inverse problem of source reconstruction for a parabolic equation”, Matem. Mod., 10:11 (1998),  93–100  mathnet  mathscinet  zmath 3
60. A. A. Samarskii, P. N. Vabishchevich, P. P. Matus, “Coefficient stability of differential-operator equations and operator-difference schemes”, Matem. Mod., 10:8 (1998),  103–113  mathnet  mathscinet  zmath 6
61. P. N. Vabishchevich, “Numerical studying problems of cylindric bar elastic-plastic torsion”, Matem. Mod., 10:3 (1998),  48–60  mathnet  mathscinet  zmath
62. P. N. Vabishchevich, “Numerical studying problems of cylindric bar elastic torsion”, Matem. Mod., 10:1 (1998),  63–72  mathnet  mathscinet  zmath
63. A. A. Samarskii, P. N. Vabishchevich, S. V. Lemeshevskii, P. P. Matus, “Difference schemes for the problem of the conjugation of equations of hyperbolic and parabolic types”, Sibirsk. Mat. Zh., 39:4 (1998),  954–962  mathnet  mathscinet  zmath; Siberian Math. J., 39:4 (1998), 825–833  isi 3
64. P. N. Vabishchevich, P. P. Matus, A. A. Samarskii, “Second-order accurate finite-difference schemes on nonuniform grids”, Zh. Vychisl. Mat. Mat. Fiz., 38:3 (1998),  413–424  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:3 (1998), 399–410 13
65. P. N. Vabishchevich, A. A. Samarskii, “Finite-difference schemes for time-dependent diffusion-convection problems”, Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998),  207–219  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:2 (1998), 199–210 2
1997
66. A. A. Samarskii, P. N. Vabishchevich, P. P. Matus, “Stability of difference schemes in norms that are integral with respect to time”, Dokl. Akad. Nauk, 354:6 (1997),  745–747  mathnet  mathscinet  zmath
67. A. A. Samarskii, P. N. Vabishchevich, “Iterative methods for multicomponent splitting”, Dokl. Akad. Nauk, 354:3 (1997),  310–312  mathnet  mathscinet  zmath 1
68. A. A. Samarskii, P. N. Vabishchevich, “Factorized domain decomposition difference schemes for convection-diffusion problems”, Differ. Uravn., 33:7 (1997),  967–974  mathnet  mathscinet; Differ. Equ., 33:7 (1997), 972–980
69. A. A. Samarskii, P. N. Vabishchevich, V. l. Vasiliev, “Iterative solution of a retrospective inverse problem of heat conduction”, Matem. Mod., 9:5 (1997),  119–127  mathnet  mathscinet  zmath 24
70. P. N. Vabishchevich, “Parallel domain decomposition algorithms for parabolic problems”, Matem. Mod., 9:5 (1997),  77–86  mathnet  mathscinet  zmath 2
71. P. N. Vabishchevich, A. N. Pavlov, A. G. Churbanov, “Numerical methods for the unsteady Navier–Stokes equations using primitive variables and partially staggered grids”, Matem. Mod., 9:4 (1997),  85–114  mathnet  mathscinet  zmath 15
72. P. N. Vabishchevich, A. A. Samarskii, “Stability of difference schemes for convection–diffusion problems”, Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  188–192  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:2 (1997), 184–188 4
1996
73. A. A. Samarskii, P. N. Vabishchevich, “Iterative cluster aggregation methods for systems of linear equations”, Dokl. Akad. Nauk, 349:1 (1996),  22–25  mathnet  mathscinet  zmath
74. A. A. Samarskii, P. N. Vabishchevich, “Factorized region-additive schemes for convection/diffusion problems”, Dokl. Akad. Nauk, 346:6 (1996),  742–745  mathnet  mathscinet  zmath
75. P. N. Vabishchevich, “Difference schemes for hydrodynamic problems in “stream function-velocity-vortex” variables”, Dokl. Akad. Nauk, 346:4 (1996),  442–444  mathnet  mathscinet  zmath 1
76. P. N. Vabishchevich, “Difference schemes of domain decomposition for nonstationary convection-diffusion problems”, Differ. Uravn., 32:7 (1996),  923–927  mathnet  mathscinet; Differ. Equ., 32:7 (1996), 929–933 1
77. A. A. Samarskii, P. N. Vabishchevich, P. P. Matus, “Difference schemes of increased order of accuracy on nonuniform grids”, Differ. Uravn., 32:2 (1996),  265–274  mathnet  mathscinet; Differ. Equ., 32:2 (1996), 269–280 7
78. A. A. Samarskii, P. N. Vabishchevich, “Устойчивость трехслойных проекционно-разностных схем”, Matem. Mod., 8:9 (1996),  74–84  mathnet  mathscinet  zmath
79. P. N. Vabishchevich, A. N. Pavlov, A. G. Churbanov, “Numerical methods for unsteady incompressible flows using primitive variables and non-staggered grids”, Matem. Mod., 8:7 (1996),  81–108  mathnet  mathscinet  zmath 6
80. P. N. Vabishchevich, V. V. Chudanov, A. G. Churbanov, “Numerical simulation of buoyancy-driven flows in complex domains”, Matem. Mod., 8:1 (1996),  103–118  mathnet  mathscinet  zmath 1
81. P. N. Vabishchevich, “Vector additive difference schemes for first-order evolution equations”, Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996),  44–51  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:3 (1996), 317–322  isi 23
1995
82. A. A. Samarskii, P. N. Vabishchevich, “Vector additive schemes of domain decomposition for parabolic problems”, Differ. Uravn., 31:9 (1995),  1563–1569  mathnet  mathscinet  zmath; Differ. Equ., 31:9 (1995), 1522–1528 3
83. P. N. Vabishchevich, G. I. Shishkin, “Difference schemes on locally condensing grids”, Differ. Uravn., 31:7 (1995),  1179–1183  mathnet  mathscinet  zmath; Differ. Equ., 31:7 (1995), 1121–1126 1
84. P. N. Vabishchevich, P. P. Matus, V. G. Rychagov, “On a class of difference schemes on dynamic locally condensing grids”, Differ. Uravn., 31:5 (1995),  849–857  mathnet  mathscinet; Differ. Equ., 31:5 (1995), 787–795
85. P. N. Vabishchevich, “Difference schemes on grids that are locally refining in time”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 4,  22–28  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:4 (1995), 19–25
86. P. N. Vabishchevich, A. Ya. Gorbatchevski, “Mathematical modeling mass transfer and crystallization in porous media”, Matem. Mod., 7:9 (1995),  15–22  mathnet  zmath
87. P. N. Vabishchevich, “Numerical solution of a problem for the elliptic equation with unsteady boundary conditions”, Matem. Mod., 7:7 (1995),  49–60  mathnet  mathscinet  zmath 1
88. P. N. Vabishchevich, “Numerical solution of problems with singularities on locally refinig grids”, Matem. Mod., 7:1 (1995),  61–68  mathnet  mathscinet  zmath
89. P. N. Vabishchevich, A. A. Samarskiĭ, “Stability of projection-difference schemes for nonstationary problems in mathematical physics”, Zh. Vychisl. Mat. Mat. Fiz., 35:7 (1995),  1011–1021  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:7 (1995), 805–813  isi
90. P. N. Vabishchevich, “The numerical simulation of unsteady convective-diffusion processes in a countercurrent”, Zh. Vychisl. Mat. Mat. Fiz., 35:1 (1995),  46–52  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:1 (1995), 31–36  isi
1994
91. P. N. Vabishchevich, P. P. Matus, V. S. Shchehlik, “Operator-difference equations of divergence type”, Differ. Uravn., 30:7 (1994),  1175–1186  mathnet  mathscinet; Differ. Equ., 30:7 (1994), 1088–1099 1
92. P. N. Vabishchevich, “Monotone difference schemes for convection/diffusion problems”, Differ. Uravn., 30:3 (1994),  503–513  mathnet  mathscinet; Differ. Equ., 30:3 (1994), 466–474 5
93. P. N. Vabishchevich, “On a class of vector additive difference schemes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 9,  11–15  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:9 (1994), 9–14 3
94. P. N. Vabishchevich, A. O. Danyarov, “Mathematical modelling of wetting of the aeration zone in conditions of the nearly bedding subsoil waters”, Matem. Mod., 6:11 (1994),  11–24  mathnet  zmath
95. P. N. Vabishchevich, “Regionally additive difference schemes with a stabilizing correction for parabolic problems”, Zh. Vychisl. Mat. Mat. Fiz., 34:12 (1994),  1832–1842  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:12 (1994), 1573–1581  isi 4
1993
96. A. A. Samarskii, P. N. Vabishchevich, “Regularized three-layer difference schemes with nonselfadjoint operators”, Differ. Uravn., 29:7 (1993),  1244–1251  mathnet  mathscinet; Differ. Equ., 29:7 (1993), 1081–1088
97. P. N. Vabishchevich, “Finite-difference methods for computing small oscillations of an incompressible fluid”, Matem. Mod., 5:10 (1993),  79–90  mathnet  zmath 1
1992
98. P. N. Vabishchevich, “Nonlocal perturbation of the initial value in ill-posed problems for the second order evolution equations”, Matem. Mod., 4:5 (1992),  109–119  mathnet  mathscinet  zmath 1
99. V. V. Belikov, P. N. Vabishchevich, V. M. Goloviznin, Yu. V. Katieschkov, “The mathematical models of the plastics injection moldingfor the thin-walled parts”, Matem. Mod., 4:5 (1992),  18–30  mathnet
100. P. N. Vabishchevich, “Continuation along space variable in the heat boundary inverse problem”, Matem. Mod., 4:4 (1992),  44–54  mathnet  mathscinet  zmath
101. A. A. Samarskii, P. N. Vabishchevich, “Regularization difference schemes for the equations with nonselfadjoint operators”, Matem. Mod., 4:2 (1992),  36–44  mathnet  mathscinet  zmath
102. P. N. Vabishchevich, “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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:3 (1992), 371–378  isi 1
1991
103. P. N. Vabishchevich, “Difference methods for solving a boundary inverse problem of heat conduction”, Differ. Uravn., 27:7 (1991),  1114–1123  mathnet  mathscinet; Differ. Equ., 27:7 (1991), 773–780
104. P. N. Vabishchevich, “Numerical solution of elliptic boundary problems on composite grid”, Matem. Mod., 3:8 (1991),  112–123  mathnet  mathscinet  zmath 2
105. P. N. Vabishchevich, A. O. Danyarov, P. A. Pulatov, “Numerical modelling of ground moistening”, Matem. Mod., 3:6 (1991),  3–9  mathnet
106. P. N. Vabishchevich, A. Ya. Gorbatchevski, I. V. Melikhov, “Modeling of crystal growth in porous medium from the binary solution”, Matem. Mod., 3:4 (1991),  31–37  mathnet
107. P. N. Vabishchevich, “Approximate solution of the modified Dirichlet problem”, Zh. Vychisl. Mat. Mat. Fiz., 31:11 (1991),  1655–1669  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:11 (1991), 37–47  isi 2
1990
108. P. N. Vabishchevich, “Iterative methods of domain decomposition with overlap for elliptic boundary value problems”, Differ. Uravn., 26:7 (1990),  1197–1207  mathnet  mathscinet; Differ. Equ., 26:7 (1990), 875–883
109. A. A. Samarskii, P. N. Vabishchevich, “Difference schemes for non-stable problems”, Matem. Mod., 2:11 (1990),  89–98  mathnet  mathscinet  zmath 3
110. P. N. Vabishchevich, N. B. Esikova, O. P. Iliev, “Numerical investigation of the natural convection of a fluid with temperature-dependent viscosity”, Matem. Mod., 2:3 (1990),  15–22  mathnet  zmath
1989
111. P. N. Vabishchevich, “Iterative reduction of a mixed boundary value problem to the Dirichlet problem”, Differ. Uravn., 25:7 (1989),  1177–1183  mathnet  mathscinet  zmath; Differ. Equ., 25:7 (1989), 831–836
112. P. N. Vabishchevich, A. Yu. Denisenko, “Numerical solution of inverse coefficient problem for a nonlinear parabolic equation”, Matem. Mod., 1:8 (1989),  116–126  mathnet  mathscinet  zmath 3
113. P. N. Vabishchevich, M. D. Radzhabov, “An adjoint formulation for the modelling of flow to imperfect well”, Matem. Mod., 1:7 (1989),  44–50  mathnet  zmath
114. P. N. Vabishchevich, S. I. Pulatov, “A numerical algorithm for conformal mapping”, Matem. Mod., 1:1 (1989),  132–139  mathnet  mathscinet  zmath
115. P. N. Vabishchevich, “Difference schemes with domain decomposition for solving non-stationary problems”, Zh. Vychisl. Mat. Mat. Fiz., 29:12 (1989),  1822–1829  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 155–160 20
116. P. N. Vabishchevich, “Composite adaptive meshes in problems of mathematical physics”, Zh. Vychisl. Mat. Mat. Fiz., 29:6 (1989),  902–914  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:3 (1989), 180–187 5
1988
117. P. N. Vabishchevich, “Uniqueness of some inverse problems for elliptic equations”, Differ. Uravn., 24:12 (1988),  2125–2129  mathnet  mathscinet; Differ. Equ., 24:12 (1988), 1443–1446 6
118. P. N. Vabishchevich, S. I. Pulatov, “An integro-iterative method for solving fundamental boundary value problems in mathematical physics”, Differ. Uravn., 24:7 (1988),  1166–1171  mathnet  mathscinet; Differ. Equ., 24:7 (1988), 750–754
119. P. N. Vabishchevich, “Forward calculation difference schemes for some problems in mathematical physics”, Differ. Uravn., 24:7 (1988),  1161–1166  mathnet  mathscinet; Differ. Equ., 24:7 (1988), 746–750 2
1987
120. P. N. Vabishchevich, O. P. Iliev, “Numerical solution of conjugate problems of heat- and mass-exchange taking into account phase transition”, Differ. Uravn., 23:7 (1987),  1127–1132  mathnet  mathscinet  zmath 2
121. P. N. Vabishchevich, R. V. Gassiev, “Numerical solution of a problem of pressurized filtration under a hydraulic engineering structure”, Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1580–1584  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 202–205
122. P. N. Vabishchevich, R. V. Gassiev, P. A. Pulatov, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 68–72 2
123. P. N. Vabishchevich, P. A. Pulatov, “Numerical solution of the exterior Neumann problem”, Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987),  536–543  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 141–146 2
1986
124. P. N. Vabishchevich, “Smoothing of difference solutions of unstable problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 3,  28–33  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:3 (1986), 36–43
125. P. N. Vabishchevich, “Numerical solution of the inverse problem of the MHD-equilibrium of a plasma”, Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986),  1049–1062  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:4 (1986), 58–67
1985
126. P. N. Vabishchevich, “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  mathnet  mathscinet  zmath 2
127. P. N. Vabishchevich, “A variational penalty method in interpolation and smoothing problems on an arbitrary observation grid”, Zh. Vychisl. Mat. Mat. Fiz., 25:8 (1985),  1252–1255  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:4 (1985), 185–187
1984
128. P. N. Vabishchevich, “Implicit difference schemes for nonstationary Navier–Stokes equations in variables of the flow-vortex function”, Differ. Uravn., 20:7 (1984),  1135–1144  mathnet  mathscinet  zmath
129. P. N. Vabishchevich, “Difference methods for solution of certain ill-posed problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 8,  3–9  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:8 (1984), 1–9 2
130. P. N. Vabishchevich, “Numerical solution of variational elliptic inequalities of fourth order”, Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984),  1312–1319  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:5 (1984), 19–24 1
131. P. N. Vabishchevich, “Numerical solution of boundary value problems for fourth order elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 24:8 (1984),  1196–1206  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 143–149 5
1983
132. P. N. Vabishchevich, “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  mathnet  mathscinet  zmath 1
133. P. N. Vabishchevich, T. N. Vabishchevich, “An approach to the approximate solution of problems of stationary convection of a viscous incompressible fluid”, Differ. Uravn., 19:7 (1983),  1131–1140  mathnet  mathscinet
134. P. N. Vabishchevich, T. N. Vabishchevich, “Numerical solution of stationary problems of a viscous incompressible fluid”, Differ. Uravn., 19:5 (1983),  852–860  mathnet  mathscinet
135. P. N. Vabishchevich, “Numerical solution of nonlocal elliptic problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 5,  13–19  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:5 (1983), 12–19 1
1982
136. P. N. Vabishchevich, L. M. Degtyarev, V. V. Drozdov, “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  mathnet  mathscinet  zmath
137. P. N. Vabishchevich, “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  mathnet  mathscinet  zmath
138. P. N. Vabishchevich, “Solution of a problem with a free boundary for elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 22:5 (1982),  1109–1117  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:5 (1982), 89–98 3
1981
139. P. N. Vabishchevich, “Nonlocal parabolic problems and the inverse problem of heat conduction”, Differ. Uravn., 17:7 (1981),  1193–1199  mathnet  mathscinet 1
140. P. N. Vabishchevich, “Difference methods for the solution of the Cauchy problem for elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 21:2 (1981),  509–511  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:2 (1981), 256–259
1980
141. P. N. Vabishchevich, L. M. Degtyarev, Yu. Yu. Poshekhonov, “Numerical solution of direct and inverse problem of MHD-equilibrium with surface current”, Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  491–500  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 222–232
1979
142. P. N. Vabishchevich, L. M. Degtyarev, “A method of solution of the free-boundary problem for elliptic equations and systems”, Dokl. Akad. Nauk SSSR, 247:6 (1979),  1342–1346  mathnet  mathscinet  zmath
143. P. N. Vabishchevich, “On the uniqueness of some external inverse problems for a metaharmonic potential”, Dokl. Akad. Nauk SSSR, 245:5 (1979),  1033–1036  mathnet  mathscinet  zmath
144. Yu. A. Kriksin, V. B. Glasko, P. N. Vabishchevich, “Solution of the Hadamard problem by a Tikhonov-regularizing algorithm”, Zh. Vychisl. Mat. Mat. Fiz., 19:6 (1979),  1462–1470  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:6 (1979), 103–112 2
145. P. N. Vabishchevich, S. A. Gabov, P. V. Shvetsov, “The angular potential for the operator $\Delta+c(x)$”, Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1162–1177  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:5 (1979), 75–92 3
146. P. N. Vabishchevich, S. A. Gabov, “Angular potential for solving an elliptic equation with variable coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  652–664  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 95–109
1978
147. S. A. Gabov, P. N. Vabishchevich, “The angular potential for a divergence elliptic operator”, Dokl. Akad. Nauk SSSR, 243:4 (1978),  835–838  mathnet  mathscinet  zmath
148. P. N. Vabishchevich, “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  mathnet  mathscinet  zmath 1

Presentations in Math-Net.Ru
1. Численное решение нестационарных задач с памятью
P. N. Vabishchevich

November 7, 2022 16:15
2. Численное решение задачи Коши для интегро-дифференциальных уравнений с разностным ядром
P. N. Vabishchevich
The Fifth International Conference "Supercomputer Technologies of Mathematical Modelling"
June 29, 2022 16:20   
3. Numerical solution of the Cauchy problem for integro-differential equations with a difference kernel
P. N. Vabishchevich
Actual Problems of Applied Mathematics
May 20, 2022 17:00   
4. Incomplete iterative implicit schemes
P. N. Vabishchevich
IV International conference “Supercomputer Technologies of Mathematical Modelling” (SCTeMM'19)
June 21, 2019 11:15   

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