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Matus, Pëtr Paŭlavich

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Author ID: matus.piotr-p Recent zbMATH articles by "Matus, Pëtr Paŭlavich"
Published as: Matus, P. P.; Matus, Piotr; Matus, P.; Matus, Peter; Matus, Peter P.; Matus, Piotr P.; Matus, Petr P.; Matus, Petr; Maturs, P. P.
External Links: Wikidata · Math-Net.Ru · dblp
Documents Indexed: 186 Publications since 1978, including 3 Books
Reviewing Activity: 72 Reviews
all top 5

Co-Authors

24 single-authored
31 Samarskiĭ, Aleksandr Andreevich
23 Vabishchevich, Pëtr Nikolaevich
22 Lemeshevskiǐ, S. V.
16 Jovanović, Boško S.
14 Mazhukin, Vladimir I.
8 Hieu, Le Minh
8 Shcheglik, V. S.
7 Abrashin, Vyacheslav Nikolaevich
6 Lapinska-Chrzczonowicz, Magdalena
6 Poliakov, Dmitriy
6 Stanishevskaya, L. V.
6 Zyl, A. N.
5 Gaspar, Francisco José
5 Korzyuk, Viktor Ivanovich
5 Mozolevsky, Igor E.
5 Vo Thi Kim Tuyen
4 Chuiko, M. M.
4 Kolodyńska, A.
4 Panaiotova, I. N.
4 Rybak, I. V.
3 Irkhin, V. A.
3 Melnik, Roderick V. Nicholas
3 Rychagov, V. G.
2 Chuiko, Mikhail
2 Egorov, Andrey Aleksandrovich
2 Lisbona Cortés, Francisco Javier
2 Marcinkiewicz, G. L.
2 Matus, A. P.
2 Mikhailyuk, I. A.
2 Shavel’, A. N.
2 Shchadinskii, D. A.
2 Shchehlik, V. S.
2 Vulkov, Lubin G.
2 Zyuzina, E. L.
1 Ananich, S. È.
1 Bojović, Dejan R.
1 Chujko, M. M.
1 Churbanova, Natalia G.
1 Corolkevich, V.
1 Dzenisenko, N. V.
1 Fedosik, E. A.
1 Gulin, Alexei V.
1 Hoang Thi Kieu Anh
1 Iovanovich, B. S.
1 Irkhin, U.
1 Jovanovich, B. S.
1 Kandratsiuk, A.
1 Kondratyuk, A. P.
1 Korolëva, O. M.
1 Korolyova, O.
1 Korzjuk, Alexander
1 Lapin, Aleksandr Vasil’evich
1 Lazarov, Raytcho D.
1 Le Minh Hieu
1 Lepin, V. V.
1 Makarevich, E. L.
1 Makarov, Evgeniĭ Konstantinovich
1 Malafei, D. A.
1 Malafej, D. A.
1 Malaphei, D. A.
1 Martsinkevich, G. L.
1 Martsynkevich, Grigorii
1 Matus, Aleh
1 Matus, O. P.
1 Mikhajlik, I. A.
1 Mikhajljuk, I. A.
1 Mikhajluk, I. A.
1 Mikhiliouk, I. A.
1 Moskal’kov, M. N.
1 Naumovich, A. R.
1 Panayotova, Iordanka N.
1 Paradinska, A.
1 Paradzinska, Agnieszka
1 Poliakov, D. B.
1 Polyakov, D. B.
1 Polyakov, Dmitriĭ Mikhaĭlovich
1 Pylak, Dorota
1 Rychagov, G. P.
1 Serbaf, A. I.
1 Shalina, V. N.
1 Shishkin, Grigoriĭ Ivanovich
1 Sobolevsky, Pavel Iosifovich
1 Utebaev, B. D.
1 Vabishevich, Peter N.
1 Wang, Linxiang
1 Yakubuk, R. M.

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 295 times in 142 Documents Cited by Year
Difference schemes with operator factors. Zbl 1018.65103
Samarskii, A. A.; Matus, P. P.; Vabishchevich, P. N.
72
2002
On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions. Zbl 1297.65108
Matus, Piotr
11
2014
The maximum principle and some of its applications. Zbl 0995.65090
Matus, Piotr
11
2002
Exact difference schemes for time-dependent problems. Zbl 1082.65076
Matus, P.; Irkhin, U.; Lapinska-Chrzczonowicz, M.
10
2005
Stability and monotonicity of difference schemes for nonlinear scalar conservation laws and multidimensional quasi-linear parabolic equations. Zbl 1189.65209
Matus, P. P.; Lemeshevsky, S.
9
2009
Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. Zbl 1348.65118
Matus, Piotr; Hieu, Le Minh; Vulkov, Lubin G.
9
2017
Monotone difference schemes for linear parabolic equations with mixed boundary conditions. Zbl 1372.65239
Matus, P. P.; Vo Thi Kim Tuyen; Gaspar, Francisco
8
2014
Stability of difference schemes for nonlinear time-dependent problems. Zbl 1036.65074
Matus, Peter
8
2003
Well-posedness of difference schemes for semilinear parabolic equations with weak solutions. Zbl 1224.35214
Matus, P. P.
6
2010
Well-posedness and blow up for IBVP for semilinear parabolic equations and numerical methods. Zbl 1283.34010
Matus, P.; Lemeshevsky, S.; Kandratsiuk, A.
6
2010
On absolute convergence of difference schemes for time-dependent quasilinear equations of mathematical physics. Zbl 0736.65070
Matus, P. P.; Stanishevskaya, L. V.
5
1991
Coefficient stability of operator-differential equations and operator-difference schemes. Zbl 1189.34107
Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P.
5
1998
Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. Zbl 1146.74345
Matus, P.; Melnik, R. V. N.; Wang, Linxiang; Rybak, I.
5
2004
Maximum principle for finite-difference schemes with non sigh-constant input data. Zbl 1372.65237
Matus, P. P.; Hieu, L. M.; Vulkov, L. G.
4
2015
Finite-difference methods for problem of conjugation of hyperbolic and parabolic equations. Zbl 1012.65087
Samarskii, Alexander A.; Korzyuk, Victor I.; Lemeshevsky, Sergey V.; Matus, Petr P.
4
2000
Monotone schemes of a higher order of accuracy for differential problems with boundary conditions of the second and third kind. Zbl 1013.65086
Matus, P.
4
2002
On the strong stability of operator-difference schemes in time-integral norms. Zbl 0984.65094
Jovanović, B. S.; Matus, P. P.
4
2001
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
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.
4
1996
Monotone difference schemes for equations with mixed derivatives. Zbl 1055.65115
Samarskii, A. A.; Matus, P. P.; Mazhukin, V. I.; Mozolevski, I. E.
4
2002
Difference schemes for elliptic equations with mixed derivatives. Zbl 1070.65110
Matus, Peter; Rybak, Iryna
4
2004
Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations. Zbl 1379.65065
Matus, P. P.; Poliakov, D. B.
3
2017
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
Exact difference schemes for hyperbolic equations. Zbl 1130.65088
Matus, P. P.; Kolodyńska, A.
3
2007
Exact difference schemes for parabolic equations. Zbl 1132.65080
Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr
3
2008
High-accuracy difference schemes for the nonlinear transfer equation \(\frac{\partial U}{\partial T}+U\frac{\partial U}{\partial X}=F(U)\). Zbl 1138.65085
Paradzinska, A.; Matus, P.
3
2007
On exact finite-difference schemes for hyperbolic and elliptic equations. Zbl 1176.65095
Matus, P. P.; Irkhin, V. A.; Łapińska-Chrzczonowicz, M.; Lemeshevsky, S. V.
3
2007
Monotone difference schemes of high order on nonuniform grids. Zbl 1071.76550
Samarskiĭ, A. A.; Matus, P. P.; Rychagov, V. G.
3
1997
Monotone difference schemes for equations with mixed derivatives. Zbl 1012.65103
Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Shishkin, G. I.
3
2001
Stability with respect to the initial data and monotonicity of an implicit difference scheme for a homogeneous porous medium equation with a quadratic nonlinearity. Zbl 1427.76174
Matus, P. P.
3
2010
Stability of finite-difference schemes for semilinear multidimensional parabolic equations. Zbl 1284.35086
Jovanovic, Bosko; Lapinska-Chrzczonowicz, Magdalena; Matus, Aleh; Matus, Piotr
3
2012
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.
2
2006
Unconditional convergence of difference schemes for nonstationary quasilinear equations of mathematical physics. Zbl 0818.65082
Matus, P. P.; Stanishevskaya, L. V.
2
1991
Consistent estimates of the convergence rate for the grid method in the case of a second-order nonlinear equation with generalized solutions. Zbl 0863.65068
Matus, P. P.; Moskal’kov, M. N.; Shcheglik, V. S.
2
1995
Second-order accurate finite-difference schemes on nonuniform grids. Zbl 0951.65103
Vabishchevich, P. N.; Samarskij, A. A.; Matus, P. P.
2
1998
Two-level difference schemes with variable weights. Zbl 0804.65095
Vabishchevich, P. N.; Matus, P. P.
2
1993
On accuracy of difference schemes in uniform metrics. Zbl 0708.65086
Matus, P. P.
2
1989
On a class of difference schemes on composite grids for time-dependent problems of mathematical physics. Zbl 0711.65104
Matus, P. P.
2
1990
Investigation of the stability and convergence of difference schemes for a polytropic gas with subsonic flows. Zbl 1179.35244
Matus, P. P.; Chuiko, M. M.
2
2009
Difference schemes on irregular grids for equations of mathematical physics with variable coefficients. Zbl 1022.65092
Mazhukin, V. I.; Malaphei, D. A.; Matus, P. P.; Samarskij, A. A.
2
2001
Difference schemes with variable weights for second order evolution equations. Zbl 0819.65093
Vabishchevich, P. N.; Matus, P. P.; Shcheglik, V. S.
2
1994
The estimates of accuracy of difference schemes for the nonlinear heat equation with weak solution. Zbl 1006.65101
Jovanović, B. S.; Matus, P. P.; Shchehlik, V. S.
2
2000
Three-level difference schemes on non-uniform in time grids. Zbl 1098.65507
Matus, P.; Zyuzina, E.
2
2001
Exact finite-difference schemes. Zbl 1350.65001
Lemeshevsky, Sergey (ed.); Matus, Piotr (ed.); Poliakov, Dmitriy (ed.)
2
2016
Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation. Zbl 1393.65041
Matus, P. P.; Le Minh Hieu
2
2017
Coefficient stability of the solution of a difference scheme approximating a mixed problem for a semilinear parabolic equation. Zbl 1403.65042
Matus, P. P.; Lemeshevsky, S. V.
2
2018
Two-layered higher-order difference schemes for the convection-diffusion equation. Zbl 1367.65121
Lemeshevskiĭ, S. V.; Matus, P. P.; Yakubuk, R. M.
1
2012
Monotone finite-difference schemes of second-order accuracy for quasilinear parabolic equations with mixed derivatives. Zbl 1422.65170
Matus, P. P.; Hieu, L. M.; Pylak, D.
1
2019
Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I. Zbl 1317.65173
Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr
1
2013
A class of difference schemes on composite meshes for nonstationary problems of mathematical physics. Zbl 0723.65101
Matus, P. P.
1
1990
Strong stability of operator-differential equations and operator-difference schemes. Zbl 0939.65083
Matus, P. P.; Panaiotova, I. N.
1
1999
Solvability of a conjugation problem for hyperbolic and parabolic equations with integro-differential conditions on the separation boundary. Zbl 0952.35100
Korzyuk, V. I.; Lemeshevskij, S. V.; Matus, P. P.
1
2000
Difference schemes with variable time steps. Zbl 0831.65089
Vabishchevich, P. N.; Matus, P. P.
1
1994
Difference schemes on the grids locally refining in space as well as in time. Zbl 0822.65060
Matus, P. P.; Vabishchevich, P. N.
1
1994
On the strong stability of first-order operator-differential equations. Zbl 1084.34055
Bojovic, D. R.; Jovanovic, B. S.; Matus, P. P.
1
2004
On the question of constrcution of difference schemes for multi- dimensional parabolic equations on time-adaptive grids. Zbl 0743.65075
Matus, P. P.
1
1991
On the stability of a monotone difference scheme for the Burgers equation. Zbl 1101.65092
Matus, P. P.; Marcinkiewicz, G. L.
1
2005
The Bihari lemma and its applications to the investigation of the stability of nonlinear difference schemes. Zbl 1267.65110
Lemeshevskiĭ, S. V.; Makarov, E. K.; Matus, P. P.
1
2010
Stability of difference schemes for the equations of weakly compressible liquid. Zbl 1190.76154
Matus, P. P.; Korolyova, O.; Chuiko, M.
1
2007
Strong stability of three-layer operator-difference schemes. Zbl 1391.65164
Matus, P. P.; Panaĭotova, I. N.
1
1999
Stability of difference schemes in terms of Riemann invariants for a polytropic gas. Zbl 1224.65204
Marcinkiewicz, G. L.; Matus, P. P.; Chuiko, M. M.
1
2010
Coefficient stability of three-level operator-difference schemes. Zbl 1022.65137
Matus, P. P.; Panaĭotova, Ĭ. N.
1
2001
Stability and convergence of two-level difference schemes in integral with respect to time norms. Zbl 0939.65082
Samarskii, Alexander A.; Matus, Petr P.; Vabishchevich, Petr N.
1
1998
Invariant difference schemes for parabolic equations with transformations of independent variables. Zbl 0936.65101
Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Rychagov, V. G.; Smurov, I.
1
1999
The maximum principle and its application for the analysis of difference schemes. Zbl 1006.65092
Matus, A. P.; Matus, P. P.
1
2001
On the stability of differential-operator equations and operator-difference schemes as \(t \to \infty\). Zbl 1017.65073
Jovanovich, B.; Lemeshevsky, S.; Matus, P.
1
2002
On accuracy of difference schemes for nonlinear parabolic equations with generalized solutions. Zbl 0977.65078
Jovanović, Boško S.; Matus, P. P.; Shcheglik, V. S.
1
1999
Stability of finite difference schemes on non-uniform spatial-time-grids. Zbl 0978.65085
Matus, Piotr P.; Mazhukin, Vladimir I.; Mozolevsky, Igor E.
1
2001
The strong stability of differential-operator and operator- difference schemes. Zbl 0976.65073
Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P.
1
1997
Finite-difference schemes for the Korteweg-de Vries equation. Zbl 1009.65058
Mazhukin, V. I.; Matus, P. P.; Mikhailyuk, I. A.
1
2000
Coefficient stability of second-order operator-differential equations. Zbl 1029.35188
Jovanović, B. S.; Matus, P. P.
1
2002
Strong stability of two-layer operator-difference schemes. Zbl 1040.65505
Matus, P. P.; Panaĭotova, Ĭ. N.
1
1999
Monotone difference schemes for nonlinear parabolic equations. Zbl 1063.65083
Matus, P. P.; Rybak, I. V.
1
2003
Stability of vector additive schemes. Zbl 0960.65093
Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P.
1
1998
Accuracy enhancement in difference schemes on spatially nonuniform grids. Zbl 0961.65074
Samarskij, A. A.; Mazhukin, V. I.; Malafej, D. A.; Matus, P. P.
1
1999
\(L_2\)-conservative schemes for the Korteweg-de Vries equation. Zbl 0961.65080
Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Mikhajlik, I. A.
1
1997
Completely conservative difference schemes for nonlinear models that describe the dynamics of materials with shape memory. Zbl 1204.65106
Matus, P. P.; Mel’nik, R. V. N.; Rybak, I. V.
1
2003
Nonlinear stability of the difference schemes for equations of isentropic gas dynamics. Zbl 1141.76044
Matus, P.; Kolodynska, A.
1
2008
Monotone finite difference schemes for quasilinear parabolic problems with mixed boundary conditions. Zbl 1336.65134
Gaspar, Francisco José; Lisbona, Francisco Javier; Matus, Piotr P.; Vo Thi Kim Tuyen
1
2016
On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids. Zbl 1432.65123
Matus, Piotr; Poliakov, Dmitriy; Hieu, Le Minh
1
2018
Exact difference schemes for a two-dimensional convection-diffusion-reaction equation. Zbl 1368.65139
Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr
1
2014
On the role of conservation laws in the problem on the occurrence of unstable solutions for quasilinear parabolic equations and their approximations. Zbl 1293.65114
Matus, P. P.
1
2013
Numerical methods for a one-dimensional non-linear Biot’s model. Zbl 1329.76231
Gaspar, Francisco J.; Lisbona, Francisco J.; Matus, Piotr; Tuyen, Vo Thi Kim
1
2016
Compact and monotone difference schemes for parabolic equations. Zbl 07339937
Matus, P. P.; Utebaev, B. D.
1
2021
Compact and monotone difference schemes for parabolic equations. Zbl 07339937
Matus, P. P.; Utebaev, B. D.
1
2021
Monotone finite-difference schemes of second-order accuracy for quasilinear parabolic equations with mixed derivatives. Zbl 1422.65170
Matus, P. P.; Hieu, L. M.; Pylak, D.
1
2019
Coefficient stability of the solution of a difference scheme approximating a mixed problem for a semilinear parabolic equation. Zbl 1403.65042
Matus, P. P.; Lemeshevsky, S. V.
2
2018
On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids. Zbl 1432.65123
Matus, Piotr; Poliakov, Dmitriy; Hieu, Le Minh
1
2018
Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. Zbl 1348.65118
Matus, Piotr; Hieu, Le Minh; Vulkov, Lubin G.
9
2017
Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations. Zbl 1379.65065
Matus, P. P.; Poliakov, D. B.
3
2017
Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation. Zbl 1393.65041
Matus, P. P.; Le Minh Hieu
2
2017
Exact finite-difference schemes. Zbl 1350.65001
Lemeshevsky, Sergey; Matus, Piotr; Poliakov, Dmitriy
2
2016
Monotone finite difference schemes for quasilinear parabolic problems with mixed boundary conditions. Zbl 1336.65134
Gaspar, Francisco José; Lisbona, Francisco Javier; Matus, Piotr P.; Vo Thi Kim Tuyen
1
2016
Numerical methods for a one-dimensional non-linear Biot’s model. Zbl 1329.76231
Gaspar, Francisco J.; Lisbona, Francisco J.; Matus, Piotr; Tuyen, Vo Thi Kim
1
2016
Maximum principle for finite-difference schemes with non sigh-constant input data. Zbl 1372.65237
Matus, P. P.; Hieu, L. M.; Vulkov, L. G.
4
2015
On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions. Zbl 1297.65108
Matus, Piotr
11
2014
Monotone difference schemes for linear parabolic equations with mixed boundary conditions. Zbl 1372.65239
Matus, P. P.; Vo Thi Kim Tuyen; Gaspar, Francisco
8
2014
Exact difference schemes for a two-dimensional convection-diffusion-reaction equation. Zbl 1368.65139
Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr
1
2014
Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I. Zbl 1317.65173
Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr
1
2013
On the role of conservation laws in the problem on the occurrence of unstable solutions for quasilinear parabolic equations and their approximations. Zbl 1293.65114
Matus, P. P.
1
2013
Stability of finite-difference schemes for semilinear multidimensional parabolic equations. Zbl 1284.35086
Jovanovic, Bosko; Lapinska-Chrzczonowicz, Magdalena; Matus, Aleh; Matus, Piotr
3
2012
Two-layered higher-order difference schemes for the convection-diffusion equation. Zbl 1367.65121
Lemeshevskiĭ, S. V.; Matus, P. P.; Yakubuk, R. M.
1
2012
Well-posedness of difference schemes for semilinear parabolic equations with weak solutions. Zbl 1224.35214
Matus, P. P.
6
2010
Well-posedness and blow up for IBVP for semilinear parabolic equations and numerical methods. Zbl 1283.34010
Matus, P.; Lemeshevsky, S.; Kandratsiuk, A.
6
2010
Stability with respect to the initial data and monotonicity of an implicit difference scheme for a homogeneous porous medium equation with a quadratic nonlinearity. Zbl 1427.76174
Matus, P. P.
3
2010
The Bihari lemma and its applications to the investigation of the stability of nonlinear difference schemes. Zbl 1267.65110
Lemeshevskiĭ, S. V.; Makarov, E. K.; Matus, P. P.
1
2010
Stability of difference schemes in terms of Riemann invariants for a polytropic gas. Zbl 1224.65204
Marcinkiewicz, G. L.; Matus, P. P.; Chuiko, M. M.
1
2010
Stability and monotonicity of difference schemes for nonlinear scalar conservation laws and multidimensional quasi-linear parabolic equations. Zbl 1189.65209
Matus, P. P.; Lemeshevsky, S.
9
2009
Investigation of the stability and convergence of difference schemes for a polytropic gas with subsonic flows. Zbl 1179.35244
Matus, P. P.; Chuiko, M. M.
2
2009
Exact difference schemes for parabolic equations. Zbl 1132.65080
Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr
3
2008
Nonlinear stability of the difference schemes for equations of isentropic gas dynamics. Zbl 1141.76044
Matus, P.; Kolodynska, A.
1
2008
Exact difference schemes for hyperbolic equations. Zbl 1130.65088
Matus, P. P.; Kolodyńska, A.
3
2007
High-accuracy difference schemes for the nonlinear transfer equation \(\frac{\partial U}{\partial T}+U\frac{\partial U}{\partial X}=F(U)\). Zbl 1138.65085
Paradzinska, A.; Matus, P.
3
2007
On exact finite-difference schemes for hyperbolic and elliptic equations. Zbl 1176.65095
Matus, P. P.; Irkhin, V. A.; Łapińska-Chrzczonowicz, M.; Lemeshevsky, S. V.
3
2007
Stability of difference schemes for the equations of weakly compressible liquid. Zbl 1190.76154
Matus, P. P.; Korolyova, O.; Chuiko, M.
1
2007
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.
2
2006
Exact difference schemes for time-dependent problems. Zbl 1082.65076
Matus, P.; Irkhin, U.; Lapinska-Chrzczonowicz, M.
10
2005
On the stability of a monotone difference scheme for the Burgers equation. Zbl 1101.65092
Matus, P. P.; Marcinkiewicz, G. L.
1
2005
Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. Zbl 1146.74345
Matus, P.; Melnik, R. V. N.; Wang, Linxiang; Rybak, I.
5
2004
Difference schemes for elliptic equations with mixed derivatives. Zbl 1070.65110
Matus, Peter; Rybak, Iryna
4
2004
On the strong stability of first-order operator-differential equations. Zbl 1084.34055
Bojovic, D. R.; Jovanovic, B. S.; Matus, P. P.
1
2004
Stability of difference schemes for nonlinear time-dependent problems. Zbl 1036.65074
Matus, Peter
8
2003
Monotone difference schemes for nonlinear parabolic equations. Zbl 1063.65083
Matus, P. P.; Rybak, I. V.
1
2003
Completely conservative difference schemes for nonlinear models that describe the dynamics of materials with shape memory. Zbl 1204.65106
Matus, P. P.; Mel’nik, R. V. N.; Rybak, I. V.
1
2003
Difference schemes with operator factors. Zbl 1018.65103
Samarskii, A. A.; Matus, P. P.; Vabishchevich, P. N.
72
2002
The maximum principle and some of its applications. Zbl 0995.65090
Matus, Piotr
11
2002
Monotone schemes of a higher order of accuracy for differential problems with boundary conditions of the second and third kind. Zbl 1013.65086
Matus, P.
4
2002
Monotone difference schemes for equations with mixed derivatives. Zbl 1055.65115
Samarskii, A. A.; Matus, P. P.; Mazhukin, V. I.; Mozolevski, I. E.
4
2002
On the stability of differential-operator equations and operator-difference schemes as \(t \to \infty\). Zbl 1017.65073
Jovanovich, B.; Lemeshevsky, S.; Matus, P.
1
2002
Coefficient stability of second-order operator-differential equations. Zbl 1029.35188
Jovanović, B. S.; Matus, P. P.
1
2002
On the strong stability of operator-difference schemes in time-integral norms. Zbl 0984.65094
Jovanović, B. S.; Matus, P. P.
4
2001
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
Monotone difference schemes for equations with mixed derivatives. Zbl 1012.65103
Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Shishkin, G. I.
3
2001
Difference schemes on irregular grids for equations of mathematical physics with variable coefficients. Zbl 1022.65092
Mazhukin, V. I.; Malaphei, D. A.; Matus, P. P.; Samarskij, A. A.
2
2001
Three-level difference schemes on non-uniform in time grids. Zbl 1098.65507
Matus, P.; Zyuzina, E.
2
2001
Coefficient stability of three-level operator-difference schemes. Zbl 1022.65137
Matus, P. P.; Panaĭotova, Ĭ. N.
1
2001
The maximum principle and its application for the analysis of difference schemes. Zbl 1006.65092
Matus, A. P.; Matus, P. P.
1
2001
Stability of finite difference schemes on non-uniform spatial-time-grids. Zbl 0978.65085
Matus, Piotr P.; Mazhukin, Vladimir I.; Mozolevsky, Igor E.
1
2001
Finite-difference methods for problem of conjugation of hyperbolic and parabolic equations. Zbl 1012.65087
Samarskii, Alexander A.; Korzyuk, Victor I.; Lemeshevsky, Sergey V.; Matus, Petr P.
4
2000
The estimates of accuracy of difference schemes for the nonlinear heat equation with weak solution. Zbl 1006.65101
Jovanović, B. S.; Matus, P. P.; Shchehlik, V. S.
2
2000
Solvability of a conjugation problem for hyperbolic and parabolic equations with integro-differential conditions on the separation boundary. Zbl 0952.35100
Korzyuk, V. I.; Lemeshevskij, S. V.; Matus, P. P.
1
2000
Finite-difference schemes for the Korteweg-de Vries equation. Zbl 1009.65058
Mazhukin, V. I.; Matus, P. P.; Mikhailyuk, I. A.
1
2000
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
Strong stability of operator-differential equations and operator-difference schemes. Zbl 0939.65083
Matus, P. P.; Panaiotova, I. N.
1
1999
Strong stability of three-layer operator-difference schemes. Zbl 1391.65164
Matus, P. P.; Panaĭotova, I. N.
1
1999
Invariant difference schemes for parabolic equations with transformations of independent variables. Zbl 0936.65101
Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Rychagov, V. G.; Smurov, I.
1
1999
On accuracy of difference schemes for nonlinear parabolic equations with generalized solutions. Zbl 0977.65078
Jovanović, Boško S.; Matus, P. P.; Shcheglik, V. S.
1
1999
Strong stability of two-layer operator-difference schemes. Zbl 1040.65505
Matus, P. P.; Panaĭotova, Ĭ. N.
1
1999
Accuracy enhancement in difference schemes on spatially nonuniform grids. Zbl 0961.65074
Samarskij, A. A.; Mazhukin, V. I.; Malafej, D. A.; Matus, P. P.
1
1999
Coefficient stability of operator-differential equations and operator-difference schemes. Zbl 1189.34107
Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P.
5
1998
Second-order accurate finite-difference schemes on nonuniform grids. Zbl 0951.65103
Vabishchevich, P. N.; Samarskij, A. A.; Matus, P. P.
2
1998
Stability and convergence of two-level difference schemes in integral with respect to time norms. Zbl 0939.65082
Samarskii, Alexander A.; Matus, Petr P.; Vabishchevich, Petr N.
1
1998
Stability of vector additive schemes. Zbl 0960.65093
Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P.
1
1998
Monotone difference schemes of high order on nonuniform grids. Zbl 1071.76550
Samarskiĭ, A. A.; Matus, P. P.; Rychagov, V. G.
3
1997
The strong stability of differential-operator and operator- difference schemes. Zbl 0976.65073
Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P.
1
1997
\(L_2\)-conservative schemes for the Korteweg-de Vries equation. Zbl 0961.65080
Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Mikhajlik, I. A.
1
1997
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.
4
1996
Consistent estimates of the convergence rate for the grid method in the case of a second-order nonlinear equation with generalized solutions. Zbl 0863.65068
Matus, P. P.; Moskal’kov, M. N.; Shcheglik, V. S.
2
1995
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 with variable time steps. Zbl 0831.65089
Vabishchevich, P. N.; Matus, P. P.
1
1994
Difference schemes on the grids locally refining in space as well as in time. Zbl 0822.65060
Matus, P. P.; Vabishchevich, P. N.
1
1994
Two-level difference schemes with variable weights. Zbl 0804.65095
Vabishchevich, P. N.; Matus, P. P.
2
1993
On absolute convergence of difference schemes for time-dependent quasilinear equations of mathematical physics. Zbl 0736.65070
Matus, P. P.; Stanishevskaya, L. V.
5
1991
Unconditional convergence of difference schemes for nonstationary quasilinear equations of mathematical physics. Zbl 0818.65082
Matus, P. P.; Stanishevskaya, L. V.
2
1991
On the question of constrcution of difference schemes for multi- dimensional parabolic equations on time-adaptive grids. Zbl 0743.65075
Matus, P. P.
1
1991
On a class of difference schemes on composite grids for time-dependent problems of mathematical physics. Zbl 0711.65104
Matus, P. P.
2
1990
A class of difference schemes on composite meshes for nonstationary problems of mathematical physics. Zbl 0723.65101
Matus, P. P.
1
1990
On accuracy of difference schemes in uniform metrics. Zbl 0708.65086
Matus, P. P.
2
1989
all top 5

Cited by 136 Authors

40 Vabishchevich, Pëtr Nikolaevich
24 Matus, Pëtr Paŭlavich
8 Arrarás, Andres
8 Portero, Laura
7 Hieu, Le Minh
7 Vulkov, Lubin G.
6 Jovanović, Boško S.
5 Gaspar, Francisco José
4 Čiegis, Raimondas
4 Jorge, Juan Carlos
4 Kolesov, Aleksandr Egorovich
4 Lapinska-Chrzczonowicz, Magdalena
4 Melnik, Roderick V. Nicholas
3 Ashyralyev, Allaberen
3 Bojović, Dejan R.
3 Cho, Chien-Hong
3 Lemeshevskiǐ, S. V.
3 Rodrigo, Carmen
3 Wang, Linxiang
2 Afanas’eva, Nadyezhda M.
2 Behnoudfar, Pouria
2 Calo, Victor Manuel
2 Dang Quang A
2 Lazarov, Raytcho D.
2 Le Minh Hieu
2 Limić, Nedžad
2 Lubyshev, F. V.
2 Meilūnas, Mečislavas
2 Minev, Peter Dimitrov
2 Poliakov, Dmitriy
2 Thanh, Dang N. H.
2 Vasil’eva, Mariya V.
2 Vo Thi Kim Tuyen
2 Yildirim, Ozgur
2 Zakharov, Petr E.
2 Zhelezovskij, S. E.
1 Agarwal, Ravi P.
1 Angot, Philippe
1 Anisimova, Anastasiya S.
1 Axelsson, Axel Owe Holger
1 Balkizova, Alëna Khamudbievna
1 Chen, Wenxia
1 Chernogorova, Tatiana P.
1 Chuiko, M. M.
1 Churbanova, Natalia G.
1 Čiegis, Remigijus
1 Deng, Quanling
1 Deng, Xiaoyan
1 Dhote, R. P.
1 Díaz-Infante, Saúl
1 Dimova, Milena
1 Dmitrenko, Artur V.
1 Drobyshevich, V. I.
1 Ehrhardt, Matthias
1 Eleev, Valeriĭ Abdurakhmanovich
1 Ewing, Richard Edward
1 Fairuzov, M. E.
1 Faragó, István
1 Fekete, Imre
1 Floater, Michael S.
1 Gavrilyuk, Ivan P.
1 Grigor’ev, A. V.
1 Hegarty, Alan F.
1 Hoang Manh Tuan
1 Hoang Thi Kieu Anh
1 Irkhin, V. A.
1 Jerez, Silvia
1 Jha, Navnit
1 Kamont, Zdzisław
1 Karátson, János
1 Keating, Johnwill
1 Klibanov, Michael V.
1 Koksal, Mehmet Emir
1 Koleva, Miglena N.
1 Kolkovska, Natalia T.
1 Kong, Desong
1 Kropielnicka, Karolina
1 Kumar, Neelesh
1 Laevskiĭ, Yuriĭ Mironovich
1 Liang, Zhaozheng
1 Lisbona Cortés, Francisco Javier
1 Liu, Chun-Yi
1 Lo Schiavo, Mauro
1 Łoś, Marcin M.
1 Luo, Peiyao
1 Mahapatra, Deshabrata Roy
1 Makarov, Volodymyr Leonidovych
1 Manapova, A. R.
1 Matusik, Milena
1 Mazhukin, Vladimir I.
1 Melnik, R. N. V.
1 Mirinavičius, Aleksas
1 Mozolevsky, Igor E.
1 Mudzimbabwe, Walter
1 Oosterlee, Cornelis Willebrordus
1 O’Riordan, Eugene
1 Orlovskiĭ, Dmitriĭ Germanovich
1 Ozbilge, Ebru
1 Panayotova, Iordanka N.
1 Paszyński, Maciej
...and 36 more Authors
all top 5

Cited in 51 Serials

21 Differential Equations
13 Journal of Computational and Applied Mathematics
10 Computational Mathematics and Mathematical Physics
8 Computers & Mathematics with Applications
6 Computational Methods in Applied Mathematics
5 Journal of Computational Physics
5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
5 Applied Mathematics and Computation
5 Applied Numerical Mathematics
4 Central European Journal of Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 Lithuanian Mathematical Journal
3 Mathematics of Computation
3 Communications in Nonlinear Science and Numerical Simulation
2 Computers and Fluids
2 Mathematics and Computers in Simulation
2 Numerical Methods for Partial Differential Equations
2 Numerical Algorithms
2 Russian Mathematics
2 Abstract and Applied Analysis
2 Trudy Instituta Matematiki
2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica
1 Mathematical Methods in the Applied Sciences
1 Applied Mathematics and Optimization
1 BIT
1 Computing
1 Demonstratio Mathematica
1 Journal of Approximation Theory
1 Numerische Mathematik
1 Siberian Mathematical Journal
1 Mathematical and Computer Modelling
1 Journal of Applied Mathematics and Stochastic Analysis
1 Applied Mathematical Modelling
1 Vestnik St. Petersburg University. Mathematics
1 Continuum Mechanics and Thermodynamics
1 Journal of Mathematical Sciences (New York)
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Computing and Visualization in Science
1 Vietnam Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Fractional Calculus & Applied Analysis
1 Lobachevskii Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Mathematical Modelling and Analysis
1 Matematicheskoe Modelirovanie
1 Journal of Function Spaces and Applications
1 Advances in Difference Equations
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Azerbaijan Journal of Mathematics
1 East Asian Journal on Applied Mathematics

Citations by Year

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