Edit Profile (opens in new tab) Matus, Pëtr Paŭlavich Co-Author Distance Author ID: matus.piotr-p Published as: Matus, P. P.; Matus, Piotr; Matus, P.; Matus, Peter; Matus, Peter P.; Matus, Piotr P.; Matus, Petr P.; Matus, Petr; Matus, Petr Pavlovich; Maturs, P. P. more...less Further Spellings: Матус Пётр Паўлавіч External Links: ORCID · Wikidata · Math-Net.Ru · dblp Documents Indexed: 190 Publications since 1978, including 2 Books 2 Contributions as Editor Reviewing Activity: 72 Reviews Co-Authors: 81 Co-Authors with 164 Joint Publications 816 Co-Co-Authors all top 5 Co-Authors 24 single-authored 31 Samarskiĭ, Aleksandr Andreevich 23 Vabishchevich, Pëtr Nikolaevich 22 Jovanović, Boško S. 22 Lemeshevskiǐ, S. V. 14 Mazhukin, Vladimir I. 9 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 Pylak, Dorota 4 Rybak, Iryna V. 3 Hoang Thi Kieu Anh 3 Irkhin, V. A. 3 Melnik, Roderick V. Nicholas 3 Rychagov, V. G. 3 Utebaev, B. D. 2 Chuiko, Mikhail 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 Irkhin, U. 1 Kandratsiuk, A. 1 Kondratyuk, A. P. 1 Korolëva, Ol’ga Mikhaĭlovna 1 Korolyova, O. 1 Korzjuk, Alexander 1 Lapin, Aleksandr Vasil’evich 1 Lazarov, Raytcho D. 1 Le Minh Hieu 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 Rychagov, G. P. 1 Shalina, V. N. 1 Sherbaf, A. I. 1 Shishkin, Grigoriĭ Ivanovich 1 Sobolevsky, Pavel Iosifovich 1 Vabishevich, Peter N. 1 Wang, Linxiang 1 Yakubuk, R. M. all top 5 Serials 28 Doklady Natsional’noĭ Akademii Nauk Belarusi 24 Differential Equations 21 Computational Methods in Applied Mathematics 16 Differential Equations 10 Doklady Mathematics 9 Doklady Akademii Nauk BSSR 9 Computational Mathematics and Mathematical Physics 7 Mathematical Modelling and Analysis 7 Matematicheskoe Modelirovanie 6 Differentsial’nye Uravneniya 4 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk 3 Journal of Computational and Applied Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Doklady Akademii Nauk Belarusi 3 Trudy Instituta Matematiki 3 Differentsial’nye Uravneniya i ikh Primenenie 2 Computers & Mathematics with Applications 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Vestsi Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Mathematics and Computers in Simulation 1 Siberian Mathematical Journal 1 Serdica 1 Issledovaniya po Prikladnoĭ Matematike 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Informatica (Vilnius) 1 Kragujevac Journal of Mathematics 1 Applied Mathematics, Informatics and Mechanics 1 International Journal of Numerical Analysis and Modeling 1 International Journal of Applied Mathematics and Statistics 1 Mathematics and its Applications (Dordrecht) 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica all top 5 Fields 174 Numerical analysis (65-XX) 138 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 25 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 4 Difference and functional equations (39-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 407 times in 198 Documents Cited by ▼ Year ▼ Difference schemes with operator factors. Zbl 1018.65103 Samarskii, A. A.; Matus, P. P.; Vabishchevich, P. N. 98 2002 The maximum principle and some of its applications. Zbl 0995.65090 Matus, Piotr 14 2002 Exact difference schemes for time-dependent problems. Zbl 1082.65076 Matus, P.; Irkhin, U.; Lapinska-Chrzczonowicz, M. 12 2005 On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions. Zbl 1297.65108 Matus, Piotr 12 2014 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. 12 2017 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. 11 2009 Stability of difference schemes for nonlinear time-dependent problems. Zbl 1036.65074 Matus, Peter 9 2003 Monotone difference schemes for linear parabolic equations with mixed boundary conditions. Zbl 1372.65239 Matus, P. P.; Vo Thi Kim Tuyen; Gaspar, Francisco 9 2014 Exact finite-difference schemes. Zbl 1350.65001 7 2016 Well-posedness and blow up for IBVP for semilinear parabolic equations and numerical methods. Zbl 1283.34010 Matus, P.; Lemeshevsky, S.; Kandratsiuk, A. 7 2010 Well-posedness of difference schemes for semilinear parabolic equations with weak solutions. Zbl 1224.35214 Matus, P. P. 6 2010 On the strong stability of operator-difference schemes in time-integral norms. Zbl 0984.65094 Jovanović, B. S.; Matus, P. P. 6 2001 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. 6 2007 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. 6 2001 Maximum principle for finite-difference schemes with non sigh-constant input data. Zbl 1372.65237 Matus, P. P.; Hieu, L. M.; Vulkov, L. G. 6 2015 Coefficient stability of operator-differential equations and operator-difference schemes. Zbl 1189.34107 Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P. 6 1998 Compact difference schemes on a three-point stencil for second-order hyperbolic equations. Zbl 1496.65124 Matus, P. P.; Hoang Thi Kieu Anh 6 2021 Three-level difference schemes on non-uniform in time grids. Zbl 1098.65507 Matus, P.; Zyuzina, E. 5 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. 5 2000 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 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 elliptic equations with mixed derivatives. Zbl 1070.65110 Matus, Peter; Rybak, Iryna 5 2004 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 Exact difference schemes for parabolic equations. Zbl 1132.65080 Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 4 2008 \(L_2\)-conservative schemes for the Korteweg-de Vries equation. Zbl 0961.65080 Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Mikhajlik, I. A. 4 1997 Finite-difference schemes for the Korteweg-de Vries equation. Zbl 1009.65058 Mazhukin, V. I.; Matus, P. P.; Mikhailyuk, I. A. 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 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 Exact difference schemes for hyperbolic equations. Zbl 1130.65088 Matus, P. P.; Kolodyńska, A. 4 2007 Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations. Zbl 1379.65065 Matus, P. P.; Poliakov, D. B. 4 2017 Exact difference schemes for a two-dimensional convection-diffusion-reaction equation. Zbl 1368.65139 Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 4 2014 Compact and monotone difference schemes for parabolic equations. Zbl 1468.65102 Matus, P. P.; Utebaev, B. D. 4 2021 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 the strong stability of first-order operator-differential equations. Zbl 1084.34055 Bojovic, D. R.; Jovanovic, B. S.; Matus, P. P. 3 2004 Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation. Zbl 1393.65041 Matus, P. P.; Le Minh Hieu 3 2017 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 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. 3 2009 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 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 Coefficient stability of second-order operator-differential equations. Zbl 1029.35188 Jovanović, B. S.; Matus, P. P. 3 2002 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. 3 2000 On the stability of differential-operator equations and operator-difference schemes as \(t \to \infty\). Zbl 1017.65073 Jovanovich, B.; Lemeshevsky, S.; Matus, P. 3 2002 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 Compact difference schemes for the multidimensional Klein-Gordon equation. Zbl 07495305 Matus, P. P.; Hoang Thi Kieu Anh 3 2022 Stability of finite-difference schemes for semilinear multidimensional parabolic equations. Zbl 1284.35086 Jovanovic, Bosko; Lapinska-Chrzczonowicz, Magdalena; Matus, Aleh; Matus, Piotr 3 2012 Second-order accurate finite-difference schemes on nonuniform grids. Zbl 0951.65103 Vabishchevich, P. N.; Samarskij, A. A.; Matus, P. P. 2 1998 Difference schemes with variable weights for second order evolution equations. Zbl 0819.65093 Vabishchevich, P. N.; Matus, P. P.; Shcheglik, V. S. 2 1994 Stability of difference schemes for the equations of weakly compressible liquid. Zbl 1190.76154 Matus, P. P.; Korolyova, O.; Chuiko, M. 2 2007 Stability of vector additive schemes. Zbl 0960.65093 Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. 2 1998 The strong stability of differential-operator and operator- difference schemes. Zbl 0976.65073 Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. 2 1997 On the stability of a monotone difference scheme for the Burgers equation. Zbl 1101.65092 Matus, P. P.; Marcinkiewicz, G. L. 2 2005 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 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 Two-level difference schemes with variable weights. Zbl 0804.65095 Vabishchevich, P. N.; Matus, P. P. 2 1993 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 2 2016 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 Nonlinear stability of the difference schemes for equations of isentropic gas dynamics. Zbl 1141.76044 Matus, P.; Kolodynska, A. 2 2008 Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I. Zbl 1317.65173 Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 2 2013 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 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 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 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 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 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 Difference schemes for the problem of fusing hyperbolic and parabolic equations. Zbl 0916.65091 Samarskij, A. A.; Vabishevich, P. N.; Lemeshevskij, S. V.; Matus, P. P. 1 1998 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 Conjugation problem of a joint-separate flow of a viscoelastic and a viscous fluid in a plane duct. Zbl 1177.76449 Korzyuk, V. I.; Lemeshevskiĭ, S . V.; Matus, P. P. 1 2000 Difference schemes on nonuniform grids for a parabolic equation with variable coefficients and generalized solutions. Zbl 1040.65507 Jovanović, B. S.; Matus, P. P.; Shcheglik, V. S. 1 1998 Strong stability of two-layer operator-difference schemes. Zbl 1040.65505 Matus, P. P.; Panaĭotova, Ĭ. N. 1 1999 Strong stability of three-layer operator-difference schemes. Zbl 1391.65164 Matus, P. P.; Panaĭotova, I. N. 1 1999 Monotone difference schemes for nonlinear parabolic equations. Zbl 1063.65083 Matus, P. P.; Rybak, I. V. 1 2003 A class of difference schemes on composite meshes for nonstationary problems of mathematical physics. Zbl 0723.65101 Matus, P. P. 1 1990 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 Finite-difference approximations of higher accuracy order on nonuniform grids. Zbl 0879.65057 Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. 1 1996 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 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 On the role of conservation laws and input data in the generation of peaking modes in quasilinear multidimensional parabolic equations with nonlinear source and in their approximations. Zbl 1351.35084 Matus, P. P.; Churbanova, N. G.; Shchadinskii, D. A. 1 2016 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 Coefficient stability of three-level operator-difference schemes. Zbl 1022.65137 Matus, P. P.; Panaĭotova, Ĭ. N. 1 2001 Conjugation problem about jointly separate flow of viscoelastic and viscous fluids in the plane duct. Zbl 1162.76301 Korzyuk, V. I.; Lemeshevsky, S. V.; Matus, P. P.; Shalina, V. N. 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 Monotone difference schemes for weakly coupled elliptic and parabolic systems. Zbl 1359.65156 Matus, Piotr; Gaspar, Francisco; Hieu, Le Minh; Tuyen, Vo Thi Kim 1 2017 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 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 Conservative difference schemes on nonuniform grids for the wave equation. Zbl 1204.65108 Zyuzina, E. L.; Matus, P. P. 1 2004 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 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 Compact difference schemes on a three-point stencil for hyperbolic-parabolic equations with constant coefficients. Zbl 07613640 Matus, P. P.; Hoang Thi Kieu Anh; Pylak, D. 1 2022 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 Compact difference schemes for the multidimensional Klein-Gordon equation. Zbl 07495305 Matus, P. P.; Hoang Thi Kieu Anh 3 2022 Compact difference schemes on a three-point stencil for hyperbolic-parabolic equations with constant coefficients. Zbl 07613640 Matus, P. P.; Hoang Thi Kieu Anh; Pylak, D. 1 2022 Compact difference schemes on a three-point stencil for second-order hyperbolic equations. Zbl 1496.65124 Matus, P. P.; Hoang Thi Kieu Anh 6 2021 Compact and monotone difference schemes for parabolic equations. Zbl 1468.65102 Matus, P. P.; Utebaev, B. D. 4 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. 12 2017 Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations. Zbl 1379.65065 Matus, P. P.; Poliakov, D. B. 4 2017 Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation. Zbl 1393.65041 Matus, P. P.; Le Minh Hieu 3 2017 Monotone difference schemes for weakly coupled elliptic and parabolic systems. Zbl 1359.65156 Matus, Piotr; Gaspar, Francisco; Hieu, Le Minh; Tuyen, Vo Thi Kim 1 2017 Exact finite-difference schemes. Zbl 1350.65001 7 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 2 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 On the role of conservation laws and input data in the generation of peaking modes in quasilinear multidimensional parabolic equations with nonlinear source and in their approximations. Zbl 1351.35084 Matus, P. P.; Churbanova, N. G.; Shchadinskii, D. A. 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. 6 2015 On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions. Zbl 1297.65108 Matus, Piotr 12 2014 Monotone difference schemes for linear parabolic equations with mixed boundary conditions. Zbl 1372.65239 Matus, P. P.; Vo Thi Kim Tuyen; Gaspar, Francisco 9 2014 Exact difference schemes for a two-dimensional convection-diffusion-reaction equation. Zbl 1368.65139 Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 4 2014 Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I. Zbl 1317.65173 Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 2 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 and blow up for IBVP for semilinear parabolic equations and numerical methods. Zbl 1283.34010 Matus, P.; Lemeshevsky, S.; Kandratsiuk, A. 7 2010 Well-posedness of difference schemes for semilinear parabolic equations with weak solutions. Zbl 1224.35214 Matus, P. P. 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 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 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 and monotonicity of difference schemes for nonlinear scalar conservation laws and multidimensional quasi-linear parabolic equations. Zbl 1189.65209 Matus, P. P.; Lemeshevsky, S. 11 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. 3 2009 Exact difference schemes for parabolic equations. Zbl 1132.65080 Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 4 2008 Nonlinear stability of the difference schemes for equations of isentropic gas dynamics. Zbl 1141.76044 Matus, P.; Kolodynska, A. 2 2008 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. 6 2007 Exact difference schemes for hyperbolic equations. Zbl 1130.65088 Matus, P. P.; Kolodyńska, A. 4 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 Stability of difference schemes for the equations of weakly compressible liquid. Zbl 1190.76154 Matus, P. P.; Korolyova, O.; Chuiko, M. 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 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 Exact difference schemes for time-dependent problems. Zbl 1082.65076 Matus, P.; Irkhin, U.; Lapinska-Chrzczonowicz, M. 12 2005 On the stability of a monotone difference scheme for the Burgers equation. Zbl 1101.65092 Matus, P. P.; Marcinkiewicz, G. L. 2 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 5 2004 On the strong stability of first-order operator-differential equations. Zbl 1084.34055 Bojovic, D. R.; Jovanovic, B. S.; Matus, P. P. 3 2004 Conservative difference schemes on nonuniform grids for the wave equation. Zbl 1204.65108 Zyuzina, E. L.; Matus, P. P. 1 2004 Stability of difference schemes for nonlinear time-dependent problems. Zbl 1036.65074 Matus, Peter 9 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. 98 2002 The maximum principle and some of its applications. Zbl 0995.65090 Matus, Piotr 14 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 Coefficient stability of second-order operator-differential equations. Zbl 1029.35188 Jovanović, B. S.; Matus, P. P. 3 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. 3 2002 On the strong stability of operator-difference schemes in time-integral norms. Zbl 0984.65094 Jovanović, B. S.; Matus, P. P. 6 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. 6 2001 Three-level difference schemes on non-uniform in time grids. Zbl 1098.65507 Matus, P.; Zyuzina, E. 5 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 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 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 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. 5 2000 Finite-difference schemes for the Korteweg-de Vries equation. Zbl 1009.65058 Mazhukin, V. I.; Matus, P. P.; Mikhailyuk, I. A. 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. 3 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 Conjugation problem of a joint-separate flow of a viscoelastic and a viscous fluid in a plane duct. Zbl 1177.76449 Korzyuk, V. I.; Lemeshevskiĭ, S . V.; Matus, P. P. 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 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 Strong stability of operator-differential equations and operator-difference schemes. Zbl 0939.65083 Matus, P. P.; Panaiotova, I. 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 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 Strong stability of three-layer operator-difference schemes. Zbl 1391.65164 Matus, P. P.; Panaĭotova, I. N. 1 1999 Conjugation problem about jointly separate flow of viscoelastic and viscous fluids in the plane duct. Zbl 1162.76301 Korzyuk, V. I.; Lemeshevsky, S. V.; Matus, P. P.; Shalina, V. N. 1 1999 Coefficient stability of operator-differential equations and operator-difference schemes. Zbl 1189.34107 Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P. 6 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 of vector additive schemes. Zbl 0960.65093 Samarskij, A. A.; Vabishchevich, P. N.; 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 Difference schemes for the problem of fusing hyperbolic and parabolic equations. Zbl 0916.65091 Samarskij, A. A.; Vabishevich, P. N.; Lemeshevskij, S. V.; Matus, P. P. 1 1998 Difference schemes on nonuniform grids for a parabolic equation with variable coefficients and generalized solutions. Zbl 1040.65507 Jovanović, B. S.; Matus, P. P.; Shcheglik, V. S. 1 1998 \(L_2\)-conservative schemes for the Korteweg-de Vries equation. Zbl 0961.65080 Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Mikhajlik, I. A. 4 1997 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. 2 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. 5 1996 Finite-difference approximations of higher accuracy order on nonuniform grids. Zbl 0879.65057 Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. 1 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 cited Publications top 5 cited Publications all top 5 Cited by 188 Authors 60 Vabishchevich, Pëtr Nikolaevich 31 Matus, Pëtr Paŭlavich 9 Vulkov, Lubin G. 8 Arrarás, Andres 8 Hieu, Le Minh 8 Jovanović, Boško S. 8 Portero, Laura 5 Gaspar, Francisco José 5 Kolesov, Aleksandr Egorovich 4 Bojović, Dejan R. 4 Čiegis, Raimondas 4 Hoang Thi Kieu Anh 4 Jha, Navnit 4 Jorge, Juan Carlos 4 Lapinska-Chrzczonowicz, Magdalena 4 Melnik, Roderick V. Nicholas 4 Pylak, Dorota 4 Zakharov, Petr E. 3 Ashyralyev, Allaberen 3 Cho, Chien-Hong 3 Efendiev, Yalchin R. 3 Koleva, Miglena Nikolaeva 3 Lemeshevskiǐ, S. V. 3 Rodrigo, Carmen 3 Utebaev, B. D. 3 Wang, Linxiang 2 Afanas’eva, Nadyezhda M. 2 Behnoudfar, Pouria 2 Calo, Victor Manuel 2 Chung, Tsz Shun Eric 2 Dang Quang A 2 Dmitrenko, Artur V. 2 Ehrhardt, Matthias 2 Kong, Desong 2 Lazarov, Raytcho D. 2 Le Minh Hieu 2 Leung, Wingtat 2 Limić, Nedžad 2 Lubyshev, Fedor Vladimirovich 2 Makarov, Volodymyr Leonidovych 2 Mazhukin, Vladimir I. 2 Meilūnas, Mečislavas 2 Minev, Peter Dimitrov 2 Poliakov, Dmitriy 2 Soboleva, E. B. 2 Sun, Zhizhong 2 Thanh, Dang Ngoc Hoang 2 Vasil’eva, Mariya V. 2 Vo Thi Kim Tuyen 2 Wagley, Madhav 2 Xu, Yufeng 2 Yildirim, Ozgur 2 Zhelezovskij, S. E. 2 Zheng, Zhoushun 2 Zlotnik, Alexander A. 1 Agarwal, Ravi P. 1 Angot, Philippe 1 Anisimova, Anastasiya S. 1 Anjitha, K. M. 1 Awasthi, Ashish 1 Axelsson, Axel Owe Holger 1 Balkizova, Alëna Khamudbievna 1 Chen, Wenxia 1 Chernogorova, Tatiana P. 1 Chistiakov, Aleksandr 1 Chuiko, M. M. 1 Chuĭko, Mikhail Matveevich 1 Churbanova, Natalia G. 1 Čiegis, Remigijus 1 Das, Subir 1 Deng, Quanling 1 Deng, Xiaoyan 1 Dhote, R. P. 1 Díaz-Infante, Saúl 1 Dimova, Milena 1 Đinh Nho Hào 1 Drobyshevich, V. I. 1 Eleev, Valeriĭ Abdurakhmanovich 1 Ewing, Richard Edward 1 Faĭruzov, Makhmut Èrnstovich 1 Faragó, István 1 Fekete, Imre 1 Floater, Michael S. 1 Gavrilyuk, Ivan P. 1 Georgiev, Slavi G. 1 Gornov, Victor F. 1 Grigor’ev, A. V. 1 Gyulov, Tihomir B. 1 Hegarty, Alan F. 1 Hoang Manh Tuan 1 Irkhin, V. A. 1 Ivanauskas, Feliksas. F. 1 Jerez, Silvia 1 Kamont, Zdzisław 1 Karafyllis, Iasson 1 Karátson, János 1 Kayenat, Sheerin 1 Keating, Johnwill 1 Kireeva, Olga 1 Klibanov, Michael V. ...and 88 more Authors all top 5 Cited in 62 Serials 28 Differential Equations 17 Journal of Computational and Applied Mathematics 13 Computational Mathematics and Mathematical Physics 9 Computers & Mathematics with Applications 8 Journal of Computational Physics 8 Applied Numerical Mathematics 7 Computational Methods in Applied Mathematics 6 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 6 Applied Mathematics and Computation 5 Numerical Methods for Partial Differential Equations 4 Mathematics and Computers in Simulation 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 3 Mathematical Modelling and Analysis 3 International Journal of Numerical Analysis and Modeling 2 Computers and Fluids 2 Numerical Algorithms 2 Continuum Mechanics and Thermodynamics 2 Russian Mathematics 2 Computational and Applied Mathematics 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Abstract and Applied Analysis 2 Trudy Instituta Matematiki 2 Vestsi Natsyyanal’naĭ Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk 2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 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 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Applied Mathematics and Stochastic Analysis 1 Applied Mathematical Modelling 1 Vestnik St. Petersburg University. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Journal of Difference Equations and Applications 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 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Matematicheskoe Modelirovanie 1 Doklady Natsional’noĭ Akademii Nauk Belarusi 1 Journal of Function Spaces and Applications 1 Advances in Difference Equations 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Azerbaijan Journal of Mathematics 1 East Asian Journal on Applied Mathematics 1 Matematicheskie Zametki SVFU 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 22 Fields 173 Numerical analysis (65-XX) 122 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 14 Mechanics of deformable solids (74-XX) 10 Ordinary differential equations (34-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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