Edit Profile (opens in new tab) Matus, Pëtr Paŭlavich Compute Distance To: Compute 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; Maturs, P. P. more...less Further Spellings: Матус Пётр Паўлавіч External Links: ORCID · Wikidata · Math-Net.Ru · dblp Documents Indexed: 186 Publications since 1978, including 2 Books 2 Contributions as Editor Reviewing Activity: 72 Reviews Co-Authors: 85 Co-Authors with 161 Joint Publications 792 Co-Co-Authors 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, Iryna V. 3 Irkhin, V. A. 3 Melnik, Roderick V. Nicholas 3 Rychagov, V. G. 2 Chuiko, Mikhail 2 Egorov, Andrey Aleksandrovich 2 Hoang Thi Kieu Anh 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 Utebaev, B. D. 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 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 Pylak, Dorota 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 27 Doklady Natsional’noĭ Akademii Nauk Belarusi 21 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 170 Numerical analysis (65-XX) 136 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 25 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of deformable solids (74-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-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 87 Publications have been cited 322 times in 157 Documents Cited by ▼ Year ▼ Difference schemes with operator factors. Zbl 1018.65103Samarskii, A. A.; Matus, P. P.; Vabishchevich, P. N. 80 2002 The maximum principle and some of its applications. Zbl 0995.65090Matus, Piotr 12 2002 Exact difference schemes for time-dependent problems. Zbl 1082.65076Matus, P.; Irkhin, U.; Lapinska-Chrzczonowicz, M. 11 2005 On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions. Zbl 1297.65108Matus, Piotr 11 2014 Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. Zbl 1348.65118Matus, Piotr; Hieu, Le Minh; Vulkov, Lubin G. 10 2017 Stability and monotonicity of difference schemes for nonlinear scalar conservation laws and multidimensional quasi-linear parabolic equations. Zbl 1189.65209Matus, P. P.; Lemeshevsky, S. 9 2009 Monotone difference schemes for linear parabolic equations with mixed boundary conditions. Zbl 1372.65239Matus, P. P.; Vo Thi Kim Tuyen; Gaspar, Francisco 8 2014 Stability of difference schemes for nonlinear time-dependent problems. Zbl 1036.65074Matus, Peter 8 2003 Well-posedness of difference schemes for semilinear parabolic equations with weak solutions. Zbl 1224.35214Matus, P. P. 6 2010 Well-posedness and blow up for IBVP for semilinear parabolic equations and numerical methods. Zbl 1283.34010Matus, P.; Lemeshevsky, S.; Kandratsiuk, A. 6 2010 On exact finite-difference schemes for hyperbolic and elliptic equations. Zbl 1176.65095Matus, P. P.; Irkhin, V. A.; Łapińska-Chrzczonowicz, M.; Lemeshevsky, S. V. 5 2007 Coefficient stability of operator-differential equations and operator-difference schemes. Zbl 1189.34107Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P. 5 1998 Exact finite-difference schemes. Zbl 1350.65001 5 2016 On absolute convergence of difference schemes for time-dependent quasilinear equations of mathematical physics. Zbl 0736.65070Matus, P. P.; Stanishevskaya, L. V. 5 1991 On the strong stability of operator-difference schemes in time-integral norms. Zbl 0984.65094Jovanović, B. S.; Matus, P. P. 5 2001 Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. Zbl 1146.74345Matus, P.; Melnik, R. V. N.; Wang, Linxiang; Rybak, I. 5 2004 Exact difference schemes for hyperbolic equations. Zbl 1130.65088Matus, P. P.; Kolodyńska, A. 4 2007 Maximum principle for finite-difference schemes with non sigh-constant input data. Zbl 1372.65237Matus, P. P.; Hieu, L. M.; Vulkov, L. G. 4 2015 Monotone schemes of a higher order of accuracy for differential problems with boundary conditions of the second and third kind. Zbl 1013.65086Matus, P. 4 2002 Finite-difference methods for problem of conjugation of hyperbolic and parabolic equations. Zbl 1012.65087Samarskii, Alexander A.; Korzyuk, Victor I.; Lemeshevsky, Sergey V.; Matus, Petr P. 4 2000 Stability of three-layer difference schemes on grids that are nonuniform with respect to time. Zbl 1046.65077Samarskij, 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 1057.65512Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P. 4 1996 Monotone difference schemes for equations with mixed derivatives. Zbl 1055.65115Samarskii, A. A.; Matus, P. P.; Mazhukin, V. I.; Mozolevski, I. E. 4 2002 Difference schemes for elliptic equations with mixed derivatives. Zbl 1070.65110Matus, Peter; Rybak, Iryna 4 2004 Exact difference schemes for a two-dimensional convection-diffusion-reaction equation. Zbl 1368.65139Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 4 2014 Three-level difference schemes on non-uniform in time grids. Zbl 1098.65507Matus, P.; Zyuzina, E. 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 1427.76174Matus, P. P. 3 2010 Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations. Zbl 1379.65065Matus, P. P.; Poliakov, D. B. 3 2017 Monotone difference schemes of high order on nonuniform grids. Zbl 1071.76550Samarskiĭ, A. A.; Matus, P. P.; Rychagov, V. G. 3 1997 Monotone difference schemes for equations with mixed derivatives. Zbl 1012.65103Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Shishkin, G. I. 3 2001 Stability of solutions of differential-operator and operator-difference equations in the sense of perturbation of operators. Zbl 1119.34046Jovanović, B. S.; Lemeshevsky, S. V.; Matus, P. P.; Vabishchevich, P. N. 3 2006 Exact difference schemes for parabolic equations. Zbl 1132.65080Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 3 2008 Difference scheme of the second order of accuracy for Dirichlet problem in arbitrary domain. Zbl 1063.65575Samarskij, A. A.; Vabishchevich, P. N.; Zyl’, A. N.; Matus, P. P. 3 1999 High-accuracy difference schemes for the nonlinear transfer equation \(\frac{\partial U}{\partial T}+U\frac{\partial U}{\partial X}=F(U)\). Zbl 1138.65085Paradzinska, A.; Matus, P. 3 2007 Stability of finite-difference schemes for semilinear multidimensional parabolic equations. Zbl 1284.35086Jovanovic, Bosko; Lapinska-Chrzczonowicz, Magdalena; Matus, Aleh; Matus, Piotr 3 2012 Coefficient stability of the solution of a difference scheme approximating a mixed problem for a semilinear parabolic equation. Zbl 1403.65042Matus, P. P.; Lemeshevsky, S. V. 2 2018 The estimates of accuracy of difference schemes for the nonlinear heat equation with weak solution. Zbl 1006.65101Jovanović, B. S.; Matus, P. P.; Shchehlik, V. S. 2 2000 Second-order accurate finite-difference schemes on nonuniform grids. Zbl 0951.65103Vabishchevich, P. N.; Samarskij, A. A.; Matus, P. P. 2 1998 Difference schemes with variable weights for second order evolution equations. Zbl 0819.65093Vabishchevich, P. N.; Matus, P. P.; Shcheglik, V. S. 2 1994 Unconditional convergence of difference schemes for nonstationary quasilinear equations of mathematical physics. Zbl 0818.65082Matus, P. P.; Stanishevskaya, L. V. 2 1991 Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation. Zbl 1393.65041Matus, P. P.; Le Minh Hieu 2 2017 On accuracy of difference schemes in uniform metrics. Zbl 0708.65086Matus, P. P. 2 1989 On a class of difference schemes on composite grids for time-dependent problems of mathematical physics. Zbl 0711.65104Matus, P. P. 2 1990 Two-level difference schemes with variable weights. Zbl 0804.65095Vabishchevich, P. N.; Matus, P. P. 2 1993 Coefficient stability of second-order operator-differential equations. Zbl 1029.35188Jovanović, B. S.; Matus, P. P. 2 2002 Difference schemes on irregular grids for equations of mathematical physics with variable coefficients. Zbl 1022.65092Mazhukin, V. I.; Malaphei, D. A.; Matus, P. P.; Samarskij, A. A. 2 2001 Consistent estimates of the convergence rate for the grid method in the case of a second-order nonlinear equation with generalized solutions. Zbl 0863.65068Matus, P. P.; Moskal’kov, M. N.; Shcheglik, V. S. 2 1995 Investigation of the stability and convergence of difference schemes for a polytropic gas with subsonic flows. Zbl 1179.35244Matus, P. P.; Chuiko, M. M. 2 2009 Stability and convergence of two-level difference schemes in integral with respect to time norms. Zbl 0939.65082Samarskii, Alexander A.; Matus, Petr P.; Vabishchevich, Petr N. 1 1998 Invariant difference schemes for parabolic equations with transformations of independent variables. Zbl 0936.65101Samarskij, 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 1006.65092Matus, A. P.; Matus, P. P. 1 2001 On the stability of differential-operator equations and operator-difference schemes as \(t \to \infty\). Zbl 1017.65073Jovanovich, B.; Lemeshevsky, S.; Matus, P. 1 2002 Completely conservative difference schemes for nonlinear models that describe the dynamics of materials with shape memory. Zbl 1204.65106Matus, P. P.; Mel’nik, R. V. N.; Rybak, I. V. 1 2003 Conservative difference schemes on nonuniform grids for the wave equation. Zbl 1204.65108Zyuzina, E. L.; Matus, P. P. 1 2004 Strong stability of operator-differential equations and operator-difference schemes. Zbl 0939.65083Matus, P. P.; Panaiotova, I. N. 1 1999 Numerical methods for a one-dimensional non-linear Biot’s model. Zbl 1329.76231Gaspar, Francisco J.; Lisbona, Francisco J.; Matus, Piotr; Tuyen, Vo Thi Kim 1 2016 Monotone finite difference schemes for quasilinear parabolic problems with mixed boundary conditions. Zbl 1336.65134Gaspar, Francisco José; Lisbona, Francisco Javier; Matus, Piotr P.; Vo Thi Kim Tuyen 1 2016 Difference schemes with variable time steps. Zbl 0831.65089Vabishchevich, P. N.; Matus, P. P. 1 1994 On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids. Zbl 1432.65123Matus, Piotr; Poliakov, Dmitriy; Hieu, Le Minh 1 2018 A class of difference schemes on composite meshes for nonstationary problems of mathematical physics. Zbl 0723.65101Matus, P. P. 1 1990 On the question of constrcution of difference schemes for multi- dimensional parabolic equations on time-adaptive grids. Zbl 0743.65075Matus, P. P. 1 1991 Solvability of a conjugation problem for hyperbolic and parabolic equations with integro-differential conditions on the separation boundary. Zbl 0952.35100Korzyuk, V. I.; Lemeshevskij, S. V.; Matus, P. P. 1 2000 Stability of vector additive schemes. Zbl 0960.65093Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. 1 1998 Accuracy enhancement in difference schemes on spatially nonuniform grids. Zbl 0961.65074Samarskij, A. A.; Mazhukin, V. I.; Malafej, D. A.; Matus, P. P. 1 1999 \(L_2\)-conservative schemes for the Korteweg-de Vries equation. Zbl 0961.65080Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Mikhajlik, I. A. 1 1997 On accuracy of difference schemes for nonlinear parabolic equations with generalized solutions. Zbl 0977.65078Jovanović, Boško S.; Matus, P. P.; Shcheglik, V. S. 1 1999 Stability of finite difference schemes on non-uniform spatial-time-grids. Zbl 0978.65085Matus, Piotr P.; Mazhukin, Vladimir I.; Mozolevsky, Igor E. 1 2001 The strong stability of differential-operator and operator- difference schemes. Zbl 0976.65073Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. 1 1997 Finite-difference schemes for the Korteweg-de Vries equation. Zbl 1009.65058Mazhukin, V. I.; Matus, P. P.; Mikhailyuk, I. A. 1 2000 Difference schemes on the grids locally refining in space as well as in time. Zbl 0822.65060Matus, P. P.; Vabishchevich, P. N. 1 1994 Coefficient stability of three-level operator-difference schemes. Zbl 1022.65137Matus, P. P.; Panaĭotova, Ĭ. N. 1 2001 Difference schemes on nonuniform grids for a parabolic equation with variable coefficients and generalized solutions. Zbl 1040.65507Jovanović, B. S.; Matus, P. P.; Shcheglik, V. S. 1 1998 Strong stability of two-layer operator-difference schemes. Zbl 1040.65505Matus, P. P.; Panaĭotova, Ĭ. N. 1 1999 Monotone difference schemes for nonlinear parabolic equations. Zbl 1063.65083Matus, P. P.; Rybak, I. V. 1 2003 Stability of difference schemes for the equations of weakly compressible liquid. Zbl 1190.76154Matus, P. P.; Korolyova, O.; Chuiko, M. 1 2007 The Bihari lemma and its applications to the investigation of the stability of nonlinear difference schemes. Zbl 1267.65110Lemeshevskiĭ, S. V.; Makarov, E. K.; Matus, P. P. 1 2010 Stability of difference schemes in terms of Riemann invariants for a polytropic gas. Zbl 1224.65204Marcinkiewicz, G. L.; Matus, P. P.; Chuiko, M. M. 1 2010 On the strong stability of first-order operator-differential equations. Zbl 1084.34055Bojovic, D. R.; Jovanovic, B. S.; Matus, P. P. 1 2004 Nonlinear stability of the difference schemes for equations of isentropic gas dynamics. Zbl 1141.76044Matus, P.; Kolodynska, A. 1 2008 On the stability of a monotone difference scheme for the Burgers equation. Zbl 1101.65092Matus, P. P.; Marcinkiewicz, G. L. 1 2005 Compact and monotone difference schemes for parabolic equations. Zbl 1468.65102Matus, P. P.; Utebaev, B. D. 1 2021 Compact difference schemes on a three-point stencil for second-order hyperbolic equations. Zbl 07384138Matus, P. P.; Hoang Thi Kieu Anh 1 2021 Strong stability of three-layer operator-difference schemes. Zbl 1391.65164Matus, P. P.; Panaĭotova, I. N. 1 1999 Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I. Zbl 1317.65173Lapinska-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 1293.65114Matus, P. P. 1 2013 Two-layered higher-order difference schemes for the convection-diffusion equation. Zbl 1367.65121Lemeshevskiĭ, 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 1422.65170Matus, P. P.; Hieu, L. M.; Pylak, D. 1 2019 Compact and monotone difference schemes for parabolic equations. Zbl 1468.65102Matus, P. P.; Utebaev, B. D. 1 2021 Compact difference schemes on a three-point stencil for second-order hyperbolic equations. Zbl 07384138Matus, P. P.; Hoang Thi Kieu Anh 1 2021 Monotone finite-difference schemes of second-order accuracy for quasilinear parabolic equations with mixed derivatives. Zbl 1422.65170Matus, 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 1403.65042Matus, 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 1432.65123Matus, Piotr; Poliakov, Dmitriy; Hieu, Le Minh 1 2018 Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. Zbl 1348.65118Matus, Piotr; Hieu, Le Minh; Vulkov, Lubin G. 10 2017 Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations. Zbl 1379.65065Matus, P. P.; Poliakov, D. B. 3 2017 Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation. Zbl 1393.65041Matus, P. P.; Le Minh Hieu 2 2017 Exact finite-difference schemes. Zbl 1350.65001 5 2016 Numerical methods for a one-dimensional non-linear Biot’s model. Zbl 1329.76231Gaspar, Francisco J.; Lisbona, Francisco J.; Matus, Piotr; Tuyen, Vo Thi Kim 1 2016 Monotone finite difference schemes for quasilinear parabolic problems with mixed boundary conditions. Zbl 1336.65134Gaspar, Francisco José; Lisbona, Francisco Javier; Matus, Piotr P.; Vo Thi Kim Tuyen 1 2016 Maximum principle for finite-difference schemes with non sigh-constant input data. Zbl 1372.65237Matus, 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 1297.65108Matus, Piotr 11 2014 Monotone difference schemes for linear parabolic equations with mixed boundary conditions. Zbl 1372.65239Matus, P. P.; Vo Thi Kim Tuyen; Gaspar, Francisco 8 2014 Exact difference schemes for a two-dimensional convection-diffusion-reaction equation. Zbl 1368.65139Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 4 2014 Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I. Zbl 1317.65173Lapinska-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 1293.65114Matus, P. P. 1 2013 Stability of finite-difference schemes for semilinear multidimensional parabolic equations. Zbl 1284.35086Jovanovic, Bosko; Lapinska-Chrzczonowicz, Magdalena; Matus, Aleh; Matus, Piotr 3 2012 Two-layered higher-order difference schemes for the convection-diffusion equation. Zbl 1367.65121Lemeshevskiĭ, S. V.; Matus, P. P.; Yakubuk, R. M. 1 2012 Well-posedness of difference schemes for semilinear parabolic equations with weak solutions. Zbl 1224.35214Matus, P. P. 6 2010 Well-posedness and blow up for IBVP for semilinear parabolic equations and numerical methods. Zbl 1283.34010Matus, 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 1427.76174Matus, P. P. 3 2010 The Bihari lemma and its applications to the investigation of the stability of nonlinear difference schemes. Zbl 1267.65110Lemeshevskiĭ, S. V.; Makarov, E. K.; Matus, P. P. 1 2010 Stability of difference schemes in terms of Riemann invariants for a polytropic gas. Zbl 1224.65204Marcinkiewicz, 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 1189.65209Matus, P. P.; Lemeshevsky, S. 9 2009 Investigation of the stability and convergence of difference schemes for a polytropic gas with subsonic flows. Zbl 1179.35244Matus, P. P.; Chuiko, M. M. 2 2009 Exact difference schemes for parabolic equations. Zbl 1132.65080Lapinska-Chrzczonowicz, Magdalena; Matus, Piotr 3 2008 Nonlinear stability of the difference schemes for equations of isentropic gas dynamics. Zbl 1141.76044Matus, P.; Kolodynska, A. 1 2008 On exact finite-difference schemes for hyperbolic and elliptic equations. Zbl 1176.65095Matus, P. P.; Irkhin, V. A.; Łapińska-Chrzczonowicz, M.; Lemeshevsky, S. V. 5 2007 Exact difference schemes for hyperbolic equations. Zbl 1130.65088Matus, 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 1138.65085Paradzinska, A.; Matus, P. 3 2007 Stability of difference schemes for the equations of weakly compressible liquid. Zbl 1190.76154Matus, 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 1119.34046Jovanović, B. S.; Lemeshevsky, S. V.; Matus, P. P.; Vabishchevich, P. N. 3 2006 Exact difference schemes for time-dependent problems. Zbl 1082.65076Matus, P.; Irkhin, U.; Lapinska-Chrzczonowicz, M. 11 2005 On the stability of a monotone difference scheme for the Burgers equation. Zbl 1101.65092Matus, P. P.; Marcinkiewicz, G. L. 1 2005 Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. Zbl 1146.74345Matus, P.; Melnik, R. V. N.; Wang, Linxiang; Rybak, I. 5 2004 Difference schemes for elliptic equations with mixed derivatives. Zbl 1070.65110Matus, Peter; Rybak, Iryna 4 2004 Conservative difference schemes on nonuniform grids for the wave equation. Zbl 1204.65108Zyuzina, E. L.; Matus, P. P. 1 2004 On the strong stability of first-order operator-differential equations. Zbl 1084.34055Bojovic, D. R.; Jovanovic, B. S.; Matus, P. P. 1 2004 Stability of difference schemes for nonlinear time-dependent problems. Zbl 1036.65074Matus, Peter 8 2003 Completely conservative difference schemes for nonlinear models that describe the dynamics of materials with shape memory. Zbl 1204.65106Matus, P. P.; Mel’nik, R. V. N.; Rybak, I. V. 1 2003 Monotone difference schemes for nonlinear parabolic equations. Zbl 1063.65083Matus, P. P.; Rybak, I. V. 1 2003 Difference schemes with operator factors. Zbl 1018.65103Samarskii, A. A.; Matus, P. P.; Vabishchevich, P. N. 80 2002 The maximum principle and some of its applications. Zbl 0995.65090Matus, Piotr 12 2002 Monotone schemes of a higher order of accuracy for differential problems with boundary conditions of the second and third kind. Zbl 1013.65086Matus, P. 4 2002 Monotone difference schemes for equations with mixed derivatives. Zbl 1055.65115Samarskii, A. A.; Matus, P. P.; Mazhukin, V. I.; Mozolevski, I. E. 4 2002 Coefficient stability of second-order operator-differential equations. Zbl 1029.35188Jovanović, B. S.; Matus, P. P. 2 2002 On the stability of differential-operator equations and operator-difference schemes as \(t \to \infty\). Zbl 1017.65073Jovanovich, B.; Lemeshevsky, S.; Matus, P. 1 2002 On the strong stability of operator-difference schemes in time-integral norms. Zbl 0984.65094Jovanović, B. S.; Matus, P. P. 5 2001 Stability of three-layer difference schemes on grids that are nonuniform with respect to time. Zbl 1046.65077Samarskij, A. A.; Vabishchevich, P. N.; Makarevich, E. L.; Matus, P. P. 4 2001 Three-level difference schemes on non-uniform in time grids. Zbl 1098.65507Matus, P.; Zyuzina, E. 3 2001 Monotone difference schemes for equations with mixed derivatives. Zbl 1012.65103Samarskij, 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 1022.65092Mazhukin, V. I.; Malaphei, D. A.; Matus, P. P.; Samarskij, A. A. 2 2001 The maximum principle and its application for the analysis of difference schemes. Zbl 1006.65092Matus, A. P.; Matus, P. P. 1 2001 Stability of finite difference schemes on non-uniform spatial-time-grids. Zbl 0978.65085Matus, Piotr P.; Mazhukin, Vladimir I.; Mozolevsky, Igor E. 1 2001 Coefficient stability of three-level operator-difference schemes. Zbl 1022.65137Matus, P. P.; Panaĭotova, Ĭ. N. 1 2001 Finite-difference methods for problem of conjugation of hyperbolic and parabolic equations. Zbl 1012.65087Samarskii, 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 1006.65101Jovanović, 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 0952.35100Korzyuk, V. I.; Lemeshevskij, S. V.; Matus, P. P. 1 2000 Finite-difference schemes for the Korteweg-de Vries equation. Zbl 1009.65058Mazhukin, 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 1063.65575Samarskij, 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 0936.65101Samarskij, 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 0939.65083Matus, P. P.; Panaiotova, I. N. 1 1999 Accuracy enhancement in difference schemes on spatially nonuniform grids. Zbl 0961.65074Samarskij, 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 0977.65078Jovanović, Boško S.; Matus, P. P.; Shcheglik, V. S. 1 1999 Strong stability of two-layer operator-difference schemes. Zbl 1040.65505Matus, P. P.; Panaĭotova, Ĭ. N. 1 1999 Strong stability of three-layer operator-difference schemes. Zbl 1391.65164Matus, P. P.; Panaĭotova, I. N. 1 1999 Coefficient stability of operator-differential equations and operator-difference schemes. Zbl 1189.34107Samarskiĭ, A. A.; Vabishchevich, P. N.; Matus, P. P. 5 1998 Second-order accurate finite-difference schemes on nonuniform grids. Zbl 0951.65103Vabishchevich, 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 0939.65082Samarskii, Alexander A.; Matus, Petr P.; Vabishchevich, Petr N. 1 1998 Stability of vector additive schemes. Zbl 0960.65093Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. 1 1998 Difference schemes on nonuniform grids for a parabolic equation with variable coefficients and generalized solutions. Zbl 1040.65507Jovanović, B. S.; Matus, P. P.; Shcheglik, V. S. 1 1998 Monotone difference schemes of high order on nonuniform grids. Zbl 1071.76550Samarskiĭ, A. A.; Matus, P. P.; Rychagov, V. G. 3 1997 \(L_2\)-conservative schemes for the Korteweg-de Vries equation. Zbl 0961.65080Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Mikhajlik, I. A. 1 1997 The strong stability of differential-operator and operator- difference schemes. Zbl 0976.65073Samarskij, A. A.; Vabishchevich, P. N.; Matus, P. P. 1 1997 Difference schemes of increased order of approximation on nonuniform grids for elliptic equations. Zbl 1057.65512Samarskiĭ, 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 0863.65068Matus, P. P.; Moskal’kov, M. N.; Shcheglik, V. S. 2 1995 Difference schemes with variable weights for second order evolution equations. Zbl 0819.65093Vabishchevich, P. N.; Matus, P. P.; Shcheglik, V. S. 2 1994 Difference schemes with variable time steps. Zbl 0831.65089Vabishchevich, P. N.; Matus, P. P. 1 1994 Difference schemes on the grids locally refining in space as well as in time. Zbl 0822.65060Matus, P. P.; Vabishchevich, P. N. 1 1994 Two-level difference schemes with variable weights. Zbl 0804.65095Vabishchevich, P. N.; Matus, P. P. 2 1993 On absolute convergence of difference schemes for time-dependent quasilinear equations of mathematical physics. Zbl 0736.65070Matus, P. P.; Stanishevskaya, L. V. 5 1991 Unconditional convergence of difference schemes for nonstationary quasilinear equations of mathematical physics. Zbl 0818.65082Matus, 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 0743.65075Matus, P. P. 1 1991 On a class of difference schemes on composite grids for time-dependent problems of mathematical physics. Zbl 0711.65104Matus, P. P. 2 1990 A class of difference schemes on composite meshes for nonstationary problems of mathematical physics. Zbl 0723.65101Matus, P. P. 1 1990 On accuracy of difference schemes in uniform metrics. Zbl 0708.65086Matus, P. P. 2 1989 all cited Publications top 5 cited Publications all top 5 Cited by 150 Authors 47 Vabishchevich, Pëtr Nikolaevich 26 Matus, Pëtr Paŭlavich 8 Arrarás, Andres 8 Portero, Laura 8 Vulkov, Lubin G. 7 Hieu, Le Minh 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 Jovanović, Boško S. 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 Efendiev, Yalchin R. 2 Hoang Thi Kieu Anh 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 Ngoc Hoang 2 Utebaev, B. D. 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 Anjitha, K. M. 1 Awasthi, Ashish 1 Axelsson, Axel Owe Holger 1 Balkizova, Alëna Khamudbievna 1 Chen, Wenxia 1 Chernogorova, Tatiana P. 1 Chuiko, M. M. 1 Chung, Tsz Shun Eric 1 Churbanova, Natalia G. 1 Čiegis, Remigijus 1 Das, Subir K. 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 Georgiev, Slavi G. 1 Grigor’ev, A. V. 1 Hegarty, Alan F. 1 Hoang Manh Tuan 1 Irkhin, V. A. 1 Ivanauskas, Feliksas 1 Jerez, Silvia 1 Jha, Navnit 1 Kamont, Zdzisław 1 Karátson, János 1 Keating, Johnwill 1 Kireeva, Olga 1 Klibanov, Michael V. 1 Koksal, Mehmet Emir 1 Koleva, Miglena Nikolaeva 1 Kolkovska, Natalia T. 1 Kong, Desong 1 Kropielnicka, Karolina 1 Kumar, Neelesh 1 Laevskiĭ, Yuriĭ Mironovich 1 Leung, Wingtat 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. ...and 50 more Authors all top 5 Cited in 54 Serials 22 Differential Equations 13 Journal of Computational and Applied Mathematics 11 Computational Mathematics and Mathematical Physics 8 Computers & Mathematics with Applications 7 Computational Methods in Applied Mathematics 6 Journal of Computational Physics 6 Applied Mathematics and Computation 6 Applied Numerical Mathematics 5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 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 2 Computers and Fluids 2 Numerical Methods for Partial Differential Equations 2 Numerical Algorithms 2 Russian Mathematics 2 Abstract and Applied Analysis 2 Trudy Instituta Matematiki 2 Mathematical Modelling and Analysis 2 International Journal of Numerical Analysis and Modeling 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 Computational and Applied Mathematics 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 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 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 all top 5 Cited in 20 Fields 137 Numerical analysis (65-XX) 95 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 13 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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