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Vabishchevich, Pëtr Nikolaevich

Author ID: vabishchevich.petr-n Recent zbMATH articles by "Vabishchevich, Pëtr Nikolaevich"
Published as: Vabishchevich, P. N.; Vabishchevich, Petr N.; Vabishchevich, Petr; Vabishchevich, Peter N.; Vabishchevich, P.; Vabischchevich, P. N.; Vabishchevich, P. W.; Vabishchevish, P. N.; Yabishchevich, P. N.
Homepage: https://sites.google.com/site/vabishchevich/home
External Links: ORCID · Math-Net.Ru · dblp · GND
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Co-Authors

150 single-authored
59 Samarskiĭ, Aleksandr Andreevich
23 Matus, Pëtr Paŭlavich
18 Churbanov, Alexander G.
14 Lisbona Cortés, Francisco Javier
13 Gaspar, Francisco José
12 Iliev, Oleg P.
9 Vasil’ev, Vasiliĭ Ivanovich
8 Chudanov, Vladimir V.
8 Pulatov, P. A.
7 Kolesov, Aleksandr Egorovich
7 Pavlov, Andrei N.
7 Vasil’eva, Mariya V.
6 Gassiev, R. V.
5 Efendiev, Yalchin R.
5 Vabishchevich, T. N.
4 Boal, Natalia
4 Degtyarev, L. M.
4 Gabov, Sergei Aleksandrovich
4 Minev, Peter Dimitrov
4 Strizhov, Valery F.
4 Zakharov, Petr E.
3 Afanas’eva, Nadyezhda M.
3 Čiegis, Raimondas
3 Grigor’ev, A. V.
3 Lazarov, Raytcho D.
3 Leung, Wingtat
3 Radzhabov, M. D.
3 Salaeva, T. V.
3 Vasilev, Aleksandr O.
3 Vasilyeva, Maria V.
3 Zyl, A. N.
2 Aksenova, A. E.
2 Avvakumov, A. V.
2 Borukhov, Valentin Terent’evich
2 Chung, Tsz Shun Eric
2 Denisenko, A. Yu.
2 Esikova, N. B.
2 Glasko, V. B.
2 Gornov, Victor F.
2 Grigoriev, Vasiliy V.
2 Jovanović, Boško S.
2 Kriksin, Yu. A.
2 Lemeshevskiǐ, S. V.
2 Oosterlee, Cornelis Willebrordus
2 Pavlova, Nataliya V.
2 Pervichko, V. A.
2 Pulatov, S. I.
2 Pun, Saimang
2 Semenov, V. K.
2 Shcheglik, V. S.
2 Shevtsov, P. V.
2 Shishkin, Grigoriĭ Ivanovich
2 Stepanov, Sergei P.
2 Vasenko, S. A.
2 Verakhovskij, V. A.
1 Abrashin, Vyacheslav Nikolaevich
1 Afanasyeva, Nadezhda
1 Ajryan, Eh. A.
1 Antonov, Mikhail Yu.
1 Arutyunyan, Rafael
1 Boyadjiev, Christo B.
1 Chernogorova, Tatiana P.
1 Chetverushkin, Boris Nikolaevich
1 Daniyarov, A. O.
1 Drozdov, V. V.
1 Egorov, Ivan Egorovich
1 Egorov, V. A.
1 Gabov, A. S.
1 Gorbachevskiĭ, A. Ya.
1 Gracia, José Luis
1 Grigorev, Aleksandr
1 Grigor’ev, Yuri M.
1 Gulin, Alexei V.
1 Ivanov, D. Kh.
1 Ivanova, Anna Olegovna
1 Jin, Bangti
1 Klibanov, Michael V.
1 Lazarev, Nyurgun Petrovich
1 Li, Wenyuan
1 Makarevich, E. L.
1 Makarov, Mikhail M.
1 Naumovich, Anna
1 Nikiforov, D. Ya.
1 Obukhov, Yuri N.
1 Pavlush, M.
1 Popkov, A. G.
1 Popov, Sergey V.
1 Rychagov, V. G.
1 Sirditov, Ivan K.
1 Sivtsev, Petr Vasilievich
1 Smarzewski, Piotr
1 Srinivasan, Shriram
1 Su, LingDe
1 Tceeva, Anastasiya N.
1 Troeva, Marianna S.
1 Vabishchevich, N. P.
1 Varlamov, S. P.
1 Vasil’eva, Maria
1 Vulkov, Lubin G.
all top 5

Serials

31 Matematicheskoe Modelirovanie
24 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
24 Computational Mathematics and Mathematical Physics
22 Differential Equations
16 Computational Methods in Applied Mathematics
15 Doklady Mathematics
14 U.S.S.R. Computational Mathematics and Mathematical Physics
11 Journal of Computational and Applied Mathematics
11 Moscow University Computational Mathematics and Cybernetics
10 Differential Equations
9 Computational Mathematics and Modeling
8 Journal of Computational Physics
8 Mathematical Modelling and Analysis
7 Differentsial’nye Uravneniya
5 Soviet Mathematics. Doklady
5 Applied Numerical Mathematics
4 Russian Mathematics
4 International Journal of Numerical Analysis and Modeling
3 Computers & Mathematics with Applications
3 Doklady Akademii Nauk Tadzhikskoĭ SSR
3 International Journal of Heat and Mass Transfer
3 Soviet Mathematics
3 Numerical Methods for Partial Differential Equations
3 Doklady Akademii Nauk Belarusi
3 Vestnik Moskovskogo Universiteta. Seriya 15
2 Computers and Fluids
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematics of Computation
2 Applied Mathematics and Computation
2 Communications in Applied Numerical Methods
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Applied Mathematical Modelling
2 Numerical Linear Algebra with Applications
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Fractional Calculus & Applied Analysis
2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
2 Kragujevac Journal of Mathematics
2 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1 Computer Physics Communications
1 International Journal for Numerical Methods in Fluids
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Mathematical Notes
1 Moscow University Physics Bulletin
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 BIT
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Vestnik Moskovskogo Universiteta. Seriya III. Fizika, Astronomiya
1 Soviet Physics. Doklady
1 Vestsi Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk
1 Mathematical Modeling and Computational Experiment
1 Journal of Inverse and Ill-Posed Problems
1 Obchyslyuval’na ta Prykladna Matematyka
1 Fundamental’naya i Prikladnaya Matematika
1 Vychislitel’nye Tekhnologii
1 Matematicheskie Zametki YAGU
1 Lobachevskii Journal of Mathematics
1 Doklady Natsional’noĭ Akademii Nauk Belarusi
1 Inverse Problems in Science and Engineering
1 Mathematics and its Applications (Dordrecht)
1 AIP Conference Proceedings
1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics
1 Inverse and Ill-Posed Problems Series
1 Matematicheskie Zametki SVFU

Publications by Year

Citations contained in zbMATH Open

194 Publications have been cited 974 times in 540 Documents Cited by Year
Difference schemes with operator factors. Zbl 1018.65103
Samarskii, A. A.; Matus, P. P.; Vabishchevich, P. N.
94
2002
Numerical methods for solving inverse problems of mathematical physics. Zbl 1136.65105
Samarskii, Alexander A.; Vabishchevich, Peter N.
74
2007
Additive operator-difference schemes. Splitting schemes. Zbl 1286.65105
Vabishchevich, Petr N.
51
2014
A finite difference analysis of Biot’s consolidation model. Zbl 1023.76032
Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N.
38
2003
Numerically solving an equation for fractional powers of elliptic operators. Zbl 1352.65557
Vabishchevich, Petr N.
35
2015
Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation. Zbl 0966.65067
Borukhov, V. T.; Vabishchevich, P. N.
30
2000
Splitting schemes for poroelasticity and thermoelasticity problems. Zbl 1368.74062
Kolesov, A. E.; Vabishchevich, P. N.; Vasilyeva, M. V.
22
2014
Staggered grid discretizations for the quasi-static Biot’s consolidation problem. Zbl 1091.76047
Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N.
18
2006
An efficient multigrid solver for a reformulated version of the poroelasticity system. Zbl 1173.74460
Gaspar, F. J.; Lisbona, F. J.; Oosterlee, C. W.; Vabishchevich, P. N.
15
2007
Contrast-independent partially explicit time discretizations for multiscale flow problems. Zbl 07515842
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vabishchevich, Petr N.
15
2021
Domain decomposition methods with overlapping subdomains for the time-dependent problems of mathematical physics. Zbl 1156.65084
Vabishchevich, P. N.
14
2008
Numerical solution of time-dependent problems with fractional power elliptic operator. Zbl 1383.65128
Vabishchevich, Petr N.
13
2018
Finite-difference approximation of mathematical physics problems on irregular grids. Zbl 1118.65377
Vabishchevich, P. N.
11
2005
Numerical solution of nonstationary problems for a space-fractional diffusion equation. Zbl 1382.65330
Vabishchevich, Petr N.
10
2016
Numerical simulation of convection/diffusion phase change problems – a review. Zbl 0790.76104
Samarskij, A. A.; Vabishchevich, P. N.; Iliev, O. P.; Churbanov, A. G.
10
1993
Difference schemes with domain decomposition for solving non-stationary problems. Zbl 0719.65072
Vabishchevich, P. N.
9
1989
On a new class of additive (splitting) operator-difference schemes. Zbl 1251.65125
Vabishchevich, Petr N.
9
2012
A stabilized method for a secondary consolidation Biot’s model. Zbl 1128.76043
Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J.; Vabishchevich, P. N.
9
2008
Computational identification of the right-hand side of a parabolic equation. Zbl 1325.65136
Vabishchevich, P. N.; Vasil’ev, V. I.; Vasil’eva, M. V.
9
2015
Finite difference schemes for poro-elastic problems. Zbl 1075.76600
Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N.
8
2002
Splitting methods for solution decomposition in nonstationary problems. Zbl 1508.65101
Efendiev, Yalchin; Vabishchevich, Petr N.
8
2021
A substructuring domain decomposition scheme for unsteady problems. Zbl 1283.65095
Vabishchevich, Petr
8
2011
Approximation of a fractional power of an elliptic operator. Zbl 1474.65482
Vabishchevich, P. N.
8
2020
Additive difference schemes and iteration methods for problems of mathematical physics. Zbl 0985.65107
Samarskii, A. A.; Vabishchevich, P. N.
7
1997
Operator-splitting schemes for solving elasticity problems. Zbl 1054.65096
Lisbona, F. J.; Vabishchevich, P. N.
7
2001
Additive schemes for systems of time-dependent equations of mathematical physics. Zbl 1032.65097
Samarskii, Alexander; Vabishchevich, Petr
7
2003
Monotone finite-difference schemes on triangular grids for convection-diffusion problems. Zbl 1116.80304
Vabishchevich, P. N.; Samarskii, A. A.
7
2002
Parallel domain decomposition algorithms for time-dependent problems of mathematical physics. Zbl 0812.65088
Vabishchevich, P. N.
7
1994
Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts. Zbl 1349.76444
Churbanov, Alexander G.; Vabishchevich, Petr N.
7
2016
The method of fictitious domains in problems of mathematical physics. (Metod fiktivnykh oblastej v zadachakh matematicheskoj fiziki.) Zbl 0787.65073
Vabishchevich, P. N.
7
1991
Difference methods for solving mathematical physics problems on unstructured grids. Zbl 1090.65540
Samarskii, A. A.; Vabishchevich, P. N.
7
2000
Flux-splitting schemes for parabolic equations with mixed derivatives. Zbl 1299.35147
Vabishchevich, P. N.
7
2013
Explicit schemes for parabolic and hyperbolic equations. Zbl 1328.65185
Vabishchevich, P. N.
7
2015
Additive schemes for certain operator-differential equations. Zbl 1224.35328
Vabishchevich, P. N.
7
2010
Numerical identification of the leading coefficient of a parabolic equation. Zbl 1351.35087
Vabishchevich, P. N.; Klibanov, M. V.
7
2016
Operator-splitting methods for the incompressibel Navier-Stokes equations on non-staggered grids. I: First-order schemes. Zbl 0869.76052
Churbanov, Alexander G.; Pavlov, Andrei N.; Vabishchevich, Peter N.
6
1995
Regularized additive operator-difference schemes. Zbl 1224.65213
Vabishchevich, P. N.
6
2010
Splitting scheme for poroelasticity and thermoelasticity problems. Zbl 1313.74033
Vabishchevich, P. N.; Vasil’eva, M. V.; Kolesov, A. E.
6
2014
Coefficient stability of operator-differential equations and operator-difference schemes. Zbl 1189.34107
Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P.
6
1998
Temporal splitting algorithms for non-stationary multiscale problems. Zbl 07512321
Efendiev, Yalchin; Pun, Sai-Mang; Vabishchevich, Petr N.
6
2021
Splitting schemes for unsteady problems involving the grad-div operator. Zbl 1377.65110
Minev, Peter; Vabishchevich, Petr N.
6
2018
Explicit-implicit splitting schemes for some systems of evolutionary equations. Zbl 1310.65092
Gaspar, Francisco; Grigoriev, Alexander; Vabishchevich, Petr
6
2014
Two-level schemes for the advection equation. Zbl 1392.76032
Vabishchevich, Petr N.
6
2018
A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253
Lazarov, Raytcho; Vabishchevich, Petr
6
2017
A numerical study on natural convection of a heat-generating fluid in rectangular enclosures. Zbl 0900.76599
Churbanov, A. G.; Vabishchevich, P. N.; Chudanov, V. V.; Strizhov, V. F.
5
1994
Regularized additive full approximation schemes. Zbl 0959.65099
Samarskij, A. A.; Vabishchevich, P. N.
5
1998
Vector additive difference schemes for first-order evolution equations. Zbl 1159.65328
Vabishchevich, P. N.
5
1996
Difference schemes of increased order of approximation on nonuniform grids for elliptic equations. Zbl 1057.65512
Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P.
5
1996
Difference schemes for nonstationary vector problems. Zbl 1105.78016
Vabishchevich, P. N.
5
2004
Two-level finite difference scheme of improved accuracy order for time-dependent problems of mathematical physics. Zbl 1224.65184
Vabishchevich, P. N.
5
2010
Difference schemes for the transport equation. Zbl 1094.65082
Samarskii, A. A.; Vabishchevich, P. N.
5
2001
Numerical solution of nonstationary problems for a convection and a space-fractional diffusion equation. Zbl 1348.65119
Vabishchevich, Petr
5
2016
Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators. Zbl 1446.65062
Čiegis, Raimondas; Vabishchevich, Petr N.
5
2020
Unconditionally monotone schemes for unsteady convection-diffusion problems. Zbl 1393.65006
Afanas’eva, Nadyezhda M.; Churbanov, Alexander G.; Vabishchevich, Petr N.
5
2013
Vector additive schemes for second-order evolution equations. Zbl 0951.65081
Abrashin, V. N.; Vabishchevich, P. N.
4
1998
Regionally additive difference schemes with a stabilizing correction for parabolic problems. Zbl 0838.65086
Vabishchevich, P. N.
4
1994
Finite difference schemes for convection-diffusion problems on irregular meshes. Zbl 0993.76058
Vabishchevich, P. N.; Samarskij, A. A.
4
2000
Interpolation finite difference schemes on grids locally refined in time. Zbl 0978.65078
Shishkin, G. I.; Vabishchevich, P. N.
4
2000
Stability of three-layer difference schemes on grids that are nonuniform with respect to time. Zbl 1046.65077
Samarskij, A. A.; Vabishchevich, P. N.; Makarevich, E. L.; Matus, P. P.
4
2001
Iterative solution of a retrospective inverse problem of heat conduction. Zbl 1071.80505
Samarskiĭ, A. A.; Vabishchevich, P. N.; Vasil’ev, V. I.
4
1997
Finite-difference analysis for the linear thermoporoelasticity problem and its numerical resolution by multigrid methods. Zbl 1238.74012
Boal, Natalia; Gaspar, Francisco José; Lisbona, Francisco; Vabishchevich, Petr
4
2012
Flux-splitting schemes for parabolic problems. Zbl 1274.35160
Vabishchevich, P. N.
4
2012
Regularized difference schemes for evolutionary second order equations. Zbl 0763.65073
Samarskii, Aleksandr A.; Vabishchevich, Peter N.
4
1992
Three-level schemes of the alternating triangular method. Zbl 1313.35175
Vabishchevich, P. N.
4
2014
Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels. Zbl 1485.65137
Vabishchevich, P. N.
4
2022
Iterative computational identification of a space-wise dependent source in parabolic equation. Zbl 1369.65118
Vabishchevich, P. N.
4
2017
Computational identification of the time dependence of the right-hand side of a hyperbolic equation. Zbl 1433.65199
Vabishchevich, P. N.
4
2019
Explicit-implicit schemes for first-order evolution equations. Zbl 1447.65031
Vabishchevich, P. N.
4
2020
Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium. Zbl 1421.35101
Churbanov, Alexander G.; Vabishchevich, Petr N.
4
2019
Splitting schemes with respect to physical processes for double-porosity poroelasticity problems. Zbl 1457.76100
Kolesov, Alexander E.; Vabishchevich, Petr N.
4
2017
Explicit-implicit splitting schemes for parabolic equations and systems. Zbl 1360.65219
Vabishchevich, Petr N.; Zakharov, Petr E.
4
2015
Finite difference methods: theory and applications. Proceedings of the 1st conference on finite difference methods held in Rousse, Bulgaria, August 10–13, 1997. Zbl 0954.00042
3
1999
Operator-splitting schemes for the stream function-vorticity formulation. Zbl 0846.76058
Chudanov, V. V.; Popkov, A. G.; Churbanov, A. G.; Vabishchevich, P. N.; Makarov, M. M.
3
1995
Problems in compressible fluid dynamics with a variable viscosity. Zbl 0998.76065
Vabishchevich, P. N.; Samarskij, A. A.
3
2000
Parallel domain decomposition algorithms for parabolic problems. Zbl 1071.65546
Vabishchevich, P. N.
3
1997
Numerical solution of the exterior Neumann problem. Zbl 0625.65111
Vabishchevich, P. N.; Pulatov, P. A.
3
1987
Numerical methods for the solution of free boundary problems. (Chislennye metody resheniya zadach so svobodnoj granitsej). Zbl 0629.65129
Vabishchevich, P. N.
3
1987
Implicit finite-difference schemes for the nonstationary Navier-Stokes equations with the stream function and the vorticity as variables. Zbl 0654.76022
Vabishchevich, P. N.
3
1984
Difference scheme of the second order of accuracy for Dirichlet problem in arbitrary domain. Zbl 1063.65575
Samarskij, A. A.; Vabishchevich, P. N.; Zyl’, A. N.; Matus, P. P.
3
1999
Unconditionally stable schemes for convection-diffusion problems. Zbl 1268.76040
Afanas’eva, N. M.; Vabishchevich, P. N.; Vasil’eva, M. V.
3
2013
Splitting schemes for pseudoparabolic equations. Zbl 1282.65104
Vabishchevich, P. N.; Grigor’ev, A. V.
3
2013
Stability of solutions of differential-operator and operator-difference equations in the sense of perturbation of operators. Zbl 1119.34046
Jovanović, B. S.; Lemeshevsky, S. V.; Matus, P. P.; Vabishchevich, P. N.
3
2006
Computational determination of the lowest order coefficient in a parabolic equation. Zbl 1301.65103
Vabishchevich, P. N.; Vasil’ev, V. I.
3
2014
Numerical solution of an inverse problem of source reconstructions in a parabolic equation. Zbl 1189.65234
Borukhov, V. T.; Vabishchevich, P. N.
3
1998
Finite-difference analysis of fully dynamic problems for saturated porous media. Zbl 1375.76106
Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N.
3
2011
Finite difference analysis of a double-porosity consolidation model. Zbl 1373.76157
Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N.
3
2012
High order numerical schemes for solving fractional powers of elliptic operators. Zbl 1440.65085
Čiegis, Raimondas; Vabishchevich, Petr N.
3
2020
Preface: Numerical analysis of fractional differential equations. Zbl 1431.00030
3
2017
Splitting schemes for non-stationary problems with a rational approximation for fractional powers of the operator. Zbl 1475.65082
Vabishchevich, Petr N.
3
2021
Numerical solving unsteady space-fractional problems with the square root of an elliptic operator. Zbl 1499.65438
Vabishchevich, Petr N.
3
2016
Flux formulation of parabolic equations with highly heterogeneous coefficients. Zbl 1432.65132
Minev, Peter; Srinivasan, Shriram; Vabishchevich, Petr N.
3
2018
Numerical solution of time-dependent problems with a fractional-power elliptic operator. Zbl 1457.65136
Vabishchevich, P. N.
3
2018
Vector domain decomposition schemes for parabolic equations. Zbl 1454.65110
Vabishchevich, P. N.
3
2017
Stability of operator-difference schemes. Zbl 0938.65113
Samarskij, A. A.; Vabishchevich, P. N.; Gulin, A. V.
2
1999
Difference schemes for the transport equation. Zbl 0944.65098
Samarskii, A. A.; Vabishchevich, P. N.
2
1998
Second-order accurate finite-difference schemes on nonuniform grids. Zbl 0951.65103
Vabishchevich, P. N.; Samarskij, A. A.; Matus, P. P.
2
1998
Finite-difference domain decomposition schemes for nonstationary convection-diffusion problems. Zbl 0888.65097
Vabishchevich, P. N.
2
1996
Difference schemes with variable weights for second order evolution equations. Zbl 0819.65093
Vabishchevich, P. N.; Matus, P. P.; Shcheglik, V. S.
2
1994
Difference schemes for the solution of inverse probelms in mathematical physics. Zbl 0958.65099
Samarskij, A. A.; Vabishchevich, P. N.
2
1997
Factorized finite-difference schemes for the domain decomposition in convection-diffusion problems. Zbl 0928.65102
Samarskij, A. A.; Vabishchevich, P. N.
2
1997
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. Zbl 07620349
Efendiev, Yalchin; Leung, Wing Tat; Li, Wenyuan; Pun, Sai-Mang; Vabishchevich, Petr N.
1
2023
Approximate solution of the Cauchy problem for a first-order integrodifferential equation with solution derivative memory. Zbl 1499.65774
Vabishchevich, P. N.
1
2023
Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels. Zbl 1485.65137
Vabishchevich, P. N.
4
2022
Contrast-independent partially explicit time discretizations for multiscale wave problems. Zbl 07561053
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vabishchevich, Petr N.
2
2022
Numerical solution of the heat conduction problem with memory. Zbl 1524.65984
Vabishchevich, P. N.
1
2022
Contrast-independent partially explicit time discretizations for multiscale flow problems. Zbl 07515842
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vabishchevich, Petr N.
15
2021
Splitting methods for solution decomposition in nonstationary problems. Zbl 1508.65101
Efendiev, Yalchin; Vabishchevich, Petr N.
8
2021
Temporal splitting algorithms for non-stationary multiscale problems. Zbl 07512321
Efendiev, Yalchin; Pun, Sai-Mang; Vabishchevich, Petr N.
6
2021
Splitting schemes for non-stationary problems with a rational approximation for fractional powers of the operator. Zbl 1475.65082
Vabishchevich, Petr N.
3
2021
Monotone schemes for convection-diffusion problems with convective transport in different forms. Zbl 1461.65232
Vabishchevich, P. N.
2
2021
Solution decomposition schemes for second-order evolution equations. Zbl 1489.65073
Vabishchevich, P. N.
2
2021
An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP. Zbl 1466.65166
Vabishchevich, P. N.
1
2021
Approximation of a fractional power of an elliptic operator. Zbl 1474.65482
Vabishchevich, P. N.
8
2020
Two-level schemes of Cauchy problem method for solving fractional powers of elliptic operators. Zbl 1446.65062
Čiegis, Raimondas; Vabishchevich, Petr N.
5
2020
Explicit-implicit schemes for first-order evolution equations. Zbl 1447.65031
Vabishchevich, P. N.
4
2020
High order numerical schemes for solving fractional powers of elliptic operators. Zbl 1440.65085
Čiegis, Raimondas; Vabishchevich, Petr N.
3
2020
Incomplete iterative implicit schemes. Zbl 1454.65065
Vabishchevich, Petr N.
1
2020
Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media. Zbl 1430.76441
Grigoriev, Vasiliy V.; Iliev, Oleg; Vabishchevich, Petr N.
1
2020
Computational identification of the time dependence of the right-hand side of a hyperbolic equation. Zbl 1433.65199
Vabishchevich, P. N.
4
2019
Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium. Zbl 1421.35101
Churbanov, Alexander G.; Vabishchevich, Petr N.
4
2019
Identification of the right-hand side of an equation with a fractional power of an elliptic operator. Zbl 07062831
Vabishchevich, Petr N.
1
2019
Three-level schemes for the advection equation. Zbl 1427.65188
Vabishchevich, P. N.
1
2019
Numerical solution of time-dependent problems with fractional power elliptic operator. Zbl 1383.65128
Vabishchevich, Petr N.
13
2018
Splitting schemes for unsteady problems involving the grad-div operator. Zbl 1377.65110
Minev, Peter; Vabishchevich, Petr N.
6
2018
Two-level schemes for the advection equation. Zbl 1392.76032
Vabishchevich, Petr N.
6
2018
Flux formulation of parabolic equations with highly heterogeneous coefficients. Zbl 1432.65132
Minev, Peter; Srinivasan, Shriram; Vabishchevich, Petr N.
3
2018
Numerical solution of time-dependent problems with a fractional-power elliptic operator. Zbl 1457.65136
Vabishchevich, P. N.
3
2018
Numerical simulation of oxidation processes in a cross-flow around tube bundles. Zbl 1480.76025
Churbanov, Alexander G.; Iliev, Oleg; Strizhov, Valery F.; Vabishchevich, Petr N.
2
2018
Numerical solution of time-dependent problems with different time scales. Zbl 1406.65038
Vabishchevich, P. N.; Zakharov, P. E.
1
2018
Two classes of vector domain decomposition schemes for time-dependent problems with overlapping subdomains. Zbl 1476.65231
Vabishchevich, Petr N.
1
2018
Fundamental mode exact schemes for unsteady problems. Zbl 1407.65131
Vabishchevich, Petr N.
1
2018
Two-component domain decomposition scheme with overlapping subdomains for parabolic equations. Zbl 1432.65149
Vabishchevich, Petr N.
1
2018
A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253
Lazarov, Raytcho; Vabishchevich, Petr
6
2017
Iterative computational identification of a space-wise dependent source in parabolic equation. Zbl 1369.65118
Vabishchevich, P. N.
4
2017
Splitting schemes with respect to physical processes for double-porosity poroelasticity problems. Zbl 1457.76100
Kolesov, Alexander E.; Vabishchevich, Petr N.
4
2017
Preface: Numerical analysis of fractional differential equations. Zbl 1431.00030
3
2017
Vector domain decomposition schemes for parabolic equations. Zbl 1454.65110
Vabishchevich, P. N.
3
2017
Factorized schemes of second-order accuracy for numerically solving unsteady problems. Zbl 1359.65083
Vabishchevich, Petr N.
1
2017
Numerical solution of thermoporoelasticity problems. Zbl 1391.74255
Kolesov, Alexandr E.; Vabishchevich, Petr N.
1
2017
The inverse problem of the simultaneous determination of the right-hand side and the lowest coefficients in parabolic equations. Zbl 1368.65175
Su, LingDe; Vabishchevish, P. N.; Vasil’ev, V. I.
1
2017
Numerical solution of nonstationary problems for a space-fractional diffusion equation. Zbl 1382.65330
Vabishchevich, Petr N.
10
2016
Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts. Zbl 1349.76444
Churbanov, Alexander G.; Vabishchevich, Petr N.
7
2016
Numerical identification of the leading coefficient of a parabolic equation. Zbl 1351.35087
Vabishchevich, P. N.; Klibanov, M. V.
7
2016
Numerical solution of nonstationary problems for a convection and a space-fractional diffusion equation. Zbl 1348.65119
Vabishchevich, Petr
5
2016
Numerical solving unsteady space-fractional problems with the square root of an elliptic operator. Zbl 1499.65438
Vabishchevich, Petr N.
3
2016
Alternating triangular schemes for convection-diffusion problems. Zbl 1457.65062
Vabishchevich, P. N.; Zakharov, P. E.
2
2016
An operator-splitting scheme for the stream function-vorticity formulation of the unsteady Navier-Stokes equations. Zbl 1326.35245
Minev, Peter; Vabishchevich, Petr N.
2
2016
A splitting scheme to solve an equation for fractional powers of elliptic operators. Zbl 1382.65358
Vabishchevich, Petr N.
1
2016
Numerically solving an equation for fractional powers of elliptic operators. Zbl 1352.65557
Vabishchevich, Petr N.
35
2015
Computational identification of the right-hand side of a parabolic equation. Zbl 1325.65136
Vabishchevich, P. N.; Vasil’ev, V. I.; Vasil’eva, M. V.
9
2015
Explicit schemes for parabolic and hyperbolic equations. Zbl 1328.65185
Vabishchevich, P. N.
7
2015
Explicit-implicit splitting schemes for parabolic equations and systems. Zbl 1360.65219
Vabishchevich, Petr N.; Zakharov, Petr E.
4
2015
Operator-difference scheme with a factorized operator. Zbl 07227052
Vabishchevich, Petr N.
2
2015
Time step for numerically solving parabolic problems. Zbl 1359.65131
Vabishchevich, Petr N.
2
2015
A priori estimation of a time step for numerically solving parabolic problems. Zbl 1488.65126
Vabishchevich, Petr N.
1
2015
Splitting scheme for poroelasticity and thermoelasticity problems. Zbl 1426.74314
Kolesov, Alexandr E.; Vabishchevich, Petr N.; Vasilyeva, Maria V.; Gornov, Victor F.
1
2015
Computational algorithm for identification of the right-hand side of the parabolic equation. Zbl 1359.65184
Vabishchevich, Petr N.; Vasilyeva, Maria V.; Vasilyev, Vasily I.
1
2015
Additive operator-difference schemes. Splitting schemes. Zbl 1286.65105
Vabishchevich, Petr N.
51
2014
Splitting schemes for poroelasticity and thermoelasticity problems. Zbl 1368.74062
Kolesov, A. E.; Vabishchevich, P. N.; Vasilyeva, M. V.
22
2014
Splitting scheme for poroelasticity and thermoelasticity problems. Zbl 1313.74033
Vabishchevich, P. N.; Vasil’eva, M. V.; Kolesov, A. E.
6
2014
Explicit-implicit splitting schemes for some systems of evolutionary equations. Zbl 1310.65092
Gaspar, Francisco; Grigoriev, Alexander; Vabishchevich, Petr
6
2014
Three-level schemes of the alternating triangular method. Zbl 1313.35175
Vabishchevich, P. N.
4
2014
Computational determination of the lowest order coefficient in a parabolic equation. Zbl 1301.65103
Vabishchevich, P. N.; Vasil’ev, V. I.
3
2014
Numerical modeling of thermal stabilization of filter ground. Zbl 1324.76077
Vabishchevich, P. N.; Vasilyeva, M. V.; Pavlova, N. V.
2
2014
Numerically solving the identification problem for the lower coefficient of a parabolic equation. Zbl 1374.65159
Vabishchevich, P. N.; Vasil’ev, V. I.
1
2014
Additive schemes (splitting schemes) for some systems of evolutionary equations. Zbl 1297.65099
Vabishchevich, Petr N.
1
2014
Mathematical modeling of the artificial freezing of soils. Zbl 1382.74128
Vabishchevich, Peter N.; Vasil’eva, Mariya V.; Gornov, Viktor F.; Pavlova, Nataliya V.
1
2014
Flux-splitting schemes for parabolic equations with mixed derivatives. Zbl 1299.35147
Vabishchevich, P. N.
7
2013
Unconditionally monotone schemes for unsteady convection-diffusion problems. Zbl 1393.65006
Afanas’eva, Nadyezhda M.; Churbanov, Alexander G.; Vabishchevich, Petr N.
5
2013
Unconditionally stable schemes for convection-diffusion problems. Zbl 1268.76040
Afanas’eva, N. M.; Vabishchevich, P. N.; Vasil’eva, M. V.
3
2013
Splitting schemes for pseudoparabolic equations. Zbl 1282.65104
Vabishchevich, P. N.; Grigor’ev, A. V.
3
2013
Splitting schemes for hyperbolic heat conduction equation. Zbl 1278.65128
Vabishchevich, Petr N.
2
2013
Domain decomposition scheme for first-order evolution equations with nonselfadjoint operators. Zbl 1275.65032
Vabishchevich, Petr; Zakharov, Petr
1
2013
On a new class of additive (splitting) operator-difference schemes. Zbl 1251.65125
Vabishchevich, Petr N.
9
2012
Finite-difference analysis for the linear thermoporoelasticity problem and its numerical resolution by multigrid methods. Zbl 1238.74012
Boal, Natalia; Gaspar, Francisco José; Lisbona, Francisco; Vabishchevich, Petr
4
2012
Flux-splitting schemes for parabolic problems. Zbl 1274.35160
Vabishchevich, P. N.
4
2012
Finite difference analysis of a double-porosity consolidation model. Zbl 1373.76157
Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N.
3
2012
SM-stability of operator-difference schemes. Zbl 1274.65260
Vabishchevich, P. N.
2
2012
Explicit-implicit schemes for convection-diffusion-reaction problems. Zbl 1299.65198
Vabishchevich, P. N.; Vasil’eva, M. V.
2
2012
Iterative solution of the pressure problem for the multiphase filtration. Zbl 1323.76113
Vabishchevich, Petr; Vasil’eva, Maria
1
2012
Construction of splitting schemes based on transition operator approximation. Zbl 1249.65150
Vabishchevich, P. N.
1
2012
Domain decomposition schemes for the Stokes equation. Zbl 1265.76018
Vabishchevich, Petr N.
1
2012
A substructuring domain decomposition scheme for unsteady problems. Zbl 1283.65095
Vabishchevich, Petr
8
2011
Finite-difference analysis of fully dynamic problems for saturated porous media. Zbl 1375.76106
Boal, N.; Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N.
3
2011
Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators. Zbl 1249.65175
Vabishchevich, P. N.
2
2011
SM stability for time-dependent problems. Zbl 1317.65180
Vabishchevich, Petr N.
1
2011
Additive schemes for certain operator-differential equations. Zbl 1224.35328
Vabishchevich, P. N.
7
2010
Regularized additive operator-difference schemes. Zbl 1224.65213
Vabishchevich, P. N.
6
2010
Two-level finite difference scheme of improved accuracy order for time-dependent problems of mathematical physics. Zbl 1224.65184
Vabishchevich, P. N.
5
2010
Factorized SM-stable two-level schemes. Zbl 1224.65240
Vabishchevich, P. N.
1
2010
VAGO method for the solution of elliptic second-order boundary value problems. Zbl 1216.65144
Vabishchevich, N.; Vabishchevich, P.
1
2010
Domain decomposition methods with overlapping subdomains for the time-dependent problems of mathematical physics. Zbl 1156.65084
Vabishchevich, P. N.
14
2008
A stabilized method for a secondary consolidation Biot’s model. Zbl 1128.76043
Gaspar, F. J.; Gracia, J. L.; Lisbona, F. J.; Vabishchevich, P. N.
9
2008
Numerical methods for solving inverse problems of mathematical physics. Zbl 1136.65105
Samarskii, Alexander A.; Vabishchevich, Peter N.
74
2007
An efficient multigrid solver for a reformulated version of the poroelasticity system. Zbl 1173.74460
Gaspar, F. J.; Lisbona, F. J.; Oosterlee, C. W.; Vabishchevich, P. N.
15
2007
Reconstruction of the right-hand side of the elliptical equation from observation data obtained at the boundary. Zbl 1199.65373
Vabishchevich, Petr N.
2
2007
Stability of solutions of differential-operator and operator-difference equations with respect to perturbation of operators. Zbl 1199.65306
Jovanović, B. S.; Lemeshevsky, S. V.; Matus, P. P.; Vabishchevich, P. N.
1
2007
Staggered grid discretizations for the quasi-static Biot’s consolidation problem. Zbl 1091.76047
Gaspar, F. J.; Lisbona, F. J.; Vabishchevich, P. N.
18
2006
Stability of solutions of differential-operator and operator-difference equations in the sense of perturbation of operators. Zbl 1119.34046
Jovanović, B. S.; Lemeshevsky, S. V.; Matus, P. P.; Vabishchevich, P. N.
3
2006
Finite-difference approximation of mathematical physics problems on irregular grids. Zbl 1118.65377
Vabishchevich, P. N.
11
2005
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Cited by 728 Authors

98 Vabishchevich, Pëtr Nikolaevich
21 Gaspar, Francisco José
16 Matus, Pëtr Paŭlavich
16 Vasil’ev, Vasiliĭ Ivanovich
11 Efendiev, Yalchin R.
11 Rodrigo, Carmen
11 Vasilyeva, Maria V.
9 Ashyralyev, Allaberen
9 Lazarov, Raytcho D.
9 Leung, Wingtat
9 Lisbona Cortés, Francisco Javier
9 Minev, Peter Dimitrov
8 Arrarás, Andres
8 Čiegis, Raimondas
8 Hu, Xiaozhe
8 Margenov, Svetozar D.
8 Portero, Laura
8 Stepanov, Sergei P.
8 Vulkov, Lubin G.
7 Ashyralyyev, Charyyar
7 Chung, Tsz Shun Eric
7 Erdogan, Abdullah Said
7 Harizanov, Stanislav
7 Kolesov, Aleksandr Egorovich
7 Vasil’eva, Mariya V.
6 Hieu, Le Minh
6 Jorge, Juan Carlos
6 Kardashevsky, Anatoly Mikhailovich
5 Albu, Alla F.
5 Denisov, Alexander Mikhailovich
5 Makarov, Volodymyr Leonidovych
5 Oosterlee, Cornelis Willebrordus
5 Wheeler, Mary Fanett
5 Yotov, Ivan
5 Zikatanov, Ludmil T.
5 Zubov, Vladimir Ivanovich
4 Aida-Zade, Kamil Rajab
4 Calo, Victor Manuel
4 Deng, Zuicha
4 Đinh Nho Hào
4 Iliev, Oleg P.
4 Jha, Navnit
4 Kumar, Sunil
4 Liang, Dong
4 Liu, Chein-Shan
4 Novati, Paolo
4 Rashedi, Kamal
4 Sazaklioglu, Ali Ugur
4 Srinivasan, Shriram
4 Vutov, Yavor
4 Yang, Danping
4 Yang, Liu
4 Zakharov, Petr E.
4 Zhou, Zhongguo
3 Aceto, Lidia
3 Adibi, Hojatollah
3 Adler, James H.
3 Ai, Zhiyong
3 Alikhanov, Anatoliĭ Alievich
3 Ammosov, Dmitry
3 Brown, Donald L.
3 Cho, Chien-Hong
3 Dehghan Takht Fooladi, Mehdi
3 Deng, Quanling
3 Evtushenko, Yuriĭ Gavrilovich
3 Gavrilyuk, Ivan P.
3 Georgiev, Slavi G.
3 Gracia, José Luis
3 Hajibeygi, Hadi
3 Hofreither, Clemens
3 Hong, Qingguo
3 Kokurin, Mikhail Mikhailovich
3 Kosturski, Nikola
3 Kraus, Johannes K.
3 Li, Wenyuan
3 Mayko, Nataliya Valentynivna
3 Moiseev, N. Ya.
3 Nikiforov, D. Ya.
3 Oanh, Nguyen Thi Ngoc
3 Spiridonov, Denis
3 Su, LingDe
3 Sukhinov, Aleksandr Ivanovich
3 Tyrylgin, Aleksei
3 Utebaev, B. D.
2 Aakansha
2 Abdullayev, Vaqif M.
2 Abreu, Eduardo
2 Afanas’eva, Nadyezhda M.
2 Almani, Tameem
2 Ammosov, D. A.
2 Behnoudfar, Pouria
2 Beshtokov, Murat Khamidbievich
2 Boal, Natalia
2 Bociu, Lorena
2 Botti, Michele
2 Cai, Xiao-Chuan
2 Cavanaugh, Casey
2 Chen, Jixin
2 Chen, Luoping
2 Chernysh, R. I.
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Cited in 129 Serials

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