Edit Profile (opens in new tab) Zlotnik, Alexander A. Co-Author Distance Author ID: zlotnik.alexander-a Published as: Zlotnik, A. A.; Zlotnik, Alexander; Zlotnik, A.; Zlotnik, Alexander A.; Złotnik, A. A. more...less External Links: ORCID · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 211 Publications since 1977, including 3 Additional arXiv Preprints Co-Authors: 41 Co-Authors with 139 Joint Publications 638 Co-Co-Authors all top 5 Co-Authors 66 single-authored 39 Amosov, Andreĭ Avenirovich 23 Ducomet, Bernard 11 Chetverushkin, Boris Nikolaevich 7 Zlotnik, Ilya 6 Balashov, Vladislav 6 Lomonosov, T. A. 5 Zlotnik, I. A. 4 Čiegis, Raimondas 4 Lomonosov, Timofey 4 Straškraba, Ivan 3 Kireeva, O. I. 3 Romanova, Alla 3 Turetaev, I. D. 2 Berger, Jean-Francois 2 Elizarova, Tat’yana Gennad’evna 2 Fedchenko, A. S. 2 Gavrilin, Vladimir 2 Goutte, Heloise 2 Jiang, Song 2 Kireeva, Olga 2 Savenkov, Evgeny 2 Trautmann, Philip 2 Valedinskij, V. D. 2 Vexler, Boris 2 Zaitseva, S. B. 2 Zajtseva, S. B. 2 Zhilejkin, Ya. M. 1 Bakhvalov, Nikolaĭ Sergeevich 1 Bocharova, O. V. 1 Fedchenko, Anna 1 Gavrilin, V. A. 1 Gileva, V. V. 1 Ilyicheva, Svetlana 1 Koltsova, Natalya 1 Lapukhina, A. V. 1 Maksimov, Mikhail 1 Nguen Zha Bao 1 Nguyen Zha Bao 1 Puzanov, S. N. 1 Shilnikov, Eugene V. 1 Titov, D. A. all top 5 Serials 33 Doklady Mathematics 15 Computational Mathematics and Mathematical Physics 14 Mathematical Notes 10 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 10 Applied Mathematics Letters 10 Russian Journal of Numerical Analysis and Mathematical Modelling 9 Soviet Mathematics. Doklady 6 Russian Mathematics 6 Soviet Journal of Numerical Analysis and Mathematical Modelling 6 Mathematical Modelling and Analysis 5 Differential Equations 5 U.S.S.R. Computational Mathematics and Mathematical Physics 5 Matematicheskoe Modelirovanie 5 Computational Methods in Applied Mathematics 4 Moscow University Computational Mathematics and Cybernetics 4 Differential Equations 4 Kinetic and Related Models 3 Mathematical Methods in the Applied Sciences 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications in Mathematical Sciences 2 Moscow University Mathematics Bulletin 2 Applied Mathematics and Computation 2 Differentsial’nye Uravneniya 2 Siberian Mathematical Journal 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Vychislitel’nye Protsessy i Sistemy 2 Sbornik: Mathematics 2 Abstract and Applied Analysis 1 Archive for Rational Mechanics and Analysis 1 Dinamika Sploshnoĭ Sredy 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematics of the USSR, Sbornik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Journal of Mathematical Fluid Mechanics 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathematical Control and Related Fields 1 Journal of Computational Dynamics all top 5 Fields 146 Partial differential equations (35-XX) 115 Fluid mechanics (76-XX) 105 Numerical analysis (65-XX) 19 Classical thermodynamics, heat transfer (80-XX) 7 Ordinary differential equations (34-XX) 4 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 157 Publications have been cited 1,112 times in 464 Documents Cited by ▼ Year ▼ Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations. Zbl 1088.35516 Zlotnik, A. A. 76 2000 Lyapunov functional method for 1D radiative and reactive viscous gas dynamics. Zbl 1070.76044 Ducomet, Bernard; Zlotnik, Alexander 51 2005 On the large-time behavior of 1D radiative and reactive viscous flows for higher-order kinetics. Zbl 1083.35109 Ducomet, Bernard; Zlotnik, Alexander 38 2005 Parabolicity of the quasi-gasdynamic system of equations, its hyperbolic second-order modification, and the stability of small perturbations for them. Zbl 1201.76232 Zlotnik, A. A.; Chetverushkin, B. N. 33 2008 On stability of generalized solutions to the equations of one-dimensional motion of a viscous heat conducting gas. Zbl 0880.35026 Zlotnik, A. A.; Amosov, A. A. 31 1997 Global generalized solutions of the equations of the one-dimensional motion of a viscous heat-conducting gas. Zbl 0850.76595 Amosov, A. A.; Zlotnik, A. A. 30 1988 Solvability ”in the large” of a system of equations of the one- dimensional motion of an inhomogeneous viscous heat-conducting gas. Zbl 0779.76079 Amosov, A. A.; Zlotnik, A. A. 29 1992 Global properties of solutions to 1D-viscous compressible barotropic fluid equations with density dependent viscosity. Zbl 1040.35064 Straškraba, Ivan; Zlotnik, Alexander 27 2003 Convergence rate estimates of finite-element methods for second-order hyperbolic equations. Zbl 0851.65063 Zlotnik, A. A. 21 1994 Energy equalities and estimates for barotropic quasi-gasdynamic and quasi-hydrodynamic systems of equations. Zbl 1224.35356 Zlotnik, A. A. 18 2010 On construction of quasi-gasdynamic systems of equations and the barotropic system with the potential body force. Zbl 1289.76068 Zlotnik, A. A. 17 2012 Global well-posedness of the Cauchy problem for the equations of a one-dimensional viscous heat-conducting gas with Lebesgue initial data. Zbl 1072.35082 Jiang, Song; Zlotnik, Alexander 16 2004 Entropy-conservative spatial discretization of the multidimensional quasi-gasdynamic system of equations. Zbl 1457.76129 Zlotnik, A. A. 16 2017 Analysis of a regularized model for the isothermal two-component mixture with the diffuse interface. Zbl 1422.65145 Balashov, Vladislav; Zlotnik, Alexander; Savenkov, Evgeny 16 2017 Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system. Zbl 1125.35071 Ducomet, B.; Zlotnik, A. 15 2005 Parabolicity of a quasihydrodynamic system of equations and the stability of its small perturbations. Zbl 1160.35326 Zlotnik, A. A. 15 2008 On equations for one-dimensional motion of a viscous barotropic gas in the presence of a body force. Zbl 0811.76075 Zlotnik, A. A. 14 1992 Stability of generalized solutions to equations of one-dimensional motion of viscous heat-conducting gases. Zbl 0917.35109 Zlotnik, A. A.; Amosov, A. A. 14 1998 On a decay rate for 1D-viscous compressible barotropic fluid equations. Zbl 1038.35065 Straškraba, Ivan; Zlotnik, Alexander 14 2002 A difference scheme on a non-uniform mesh for the equations of one- dimensional magnetic gas dynamics. Zbl 0702.76126 Amosov, A. A.; Zlotnik, A. A. 13 1989 Global behavior of 1d-viscous compressible barotropic fluid with a free boundary and large data. Zbl 1042.76050 Straškraba, Ivan; Zlotnik, Alexander 13 2003 Properties and asymptotic behavior of solutions of some problems of one- dimensional motion of a viscous barotropic gas. Zbl 0828.76070 Zlotnik, A. A.; Nguyen Zha Bao 12 1994 Quasi-gasdynamic system of equations with general equations of state. Zbl 1387.35510 Zlotnik, A. A. 12 2010 On a hyperbolic perturbation of a parabolic initial-boundary value problem. Zbl 1524.35281 Chetverushkin, Boris N.; Zlotnik, Alexander A. 12 2018 On a family of finite-difference schemes with approximate transparent boundary conditions for a generalized 1D Schrödinger equation. Zbl 1195.65106 Ducomet, Bernard; Zlotnik, Alexander; Zlotnik, Ilya 12 2009 Conditions for \(L^2\)-dissipativity of linearized explicit difference schemes with regularization for 1D barotropic gas dynamics equations. Zbl 1461.76354 Zlotnik, A. A.; Lomonosov, T. A. 12 2019 On conservative spatial discretizations of the barotropic quasi-gasdynamic system of equations with a potential body force. Zbl 1382.76198 Zlotnik, A. A. 12 2016 Stabilization rate and stability for viscous compressible barotropic symmetric flows with free boundary for a general mass force. Zbl 1151.35432 Zlotnik, A. A.; Ducomet, B. 11 2005 On quasi-gasdynamic and quasi-hydrodynamic equations for binary gas mixtures. Zbl 1315.76028 Elizarova, T. G.; Zlotnik, A. A.; Chetverushkin, B. N. 11 2014 Spatial discretization of the one-dimensional quasi-gasdynamic system of equations and the entropy balance equation. Zbl 1274.35301 Zlotnik, A. A. 11 2012 On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I. Zbl 1119.65085 Ducomet, B.; Zlotnik, A. 11 2006 Regularized equations for numerical simulation of flows of homogeneous binary mixtures of viscous compressible gases. Zbl 1433.76051 Elizarova, T. G.; Zlotnik, A. A.; Shil’nikov, E. V. 11 2019 Finite element method with discrete transparent boundary conditions for the time-dependent 1D Schrödinger equation. Zbl 1267.65144 Zlotnik, Alexander; Zlotnik, Ilya 10 2012 Stabilization for viscous compressible heat-conducting media equations with nonmonotone state functions. Zbl 1078.35524 Ducomet, Bernard; Zlotnik, Alexander 10 2002 Viscous compressible barotropic symmetric flows with free boundary under general mass force I: Uniform-in-time bounds and stabilization. Zbl 1068.35102 Ducomet, Bernard; Zlotnik, Alexander 10 2005 An energy dissipative spatial discretization for the regularized compressible Navier-Stokes-Cahn-Hilliard system of equations. Zbl 1476.65159 Balashov, Vladislav; Zlotnik, Alexander 10 2020 On conditions for \(L^2\)-dissipativity of linearized explicit QGD finite-difference schemes for one-dimensional gas dynamics equations. Zbl 1408.76396 Zlotnik, A. A.; Lomonosov, T. A. 10 2018 Weak solutions to the equations of motion of viscous compressible reacting binary mixtures: uniqueness and Lipschitz-continuous dependence on data. Zbl 1122.35118 Zlotnik, A. A. 9 2004 Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Zbl 1407.65203 Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander 9 2018 Numerical method for 3D two-component isothermal compressible flows with application to digital rock physics. Zbl 1416.76171 Balashov, Vladislav; Savenkov, Evgenii; Zlotnik, Alexander 9 2019 The space discretization of the one-dimensional barotropic quasi-gas dynamic system of equations and the energy balance equation. Zbl 1289.76074 Zlotnik, A. A. 8 2012 Stabilization for equations of one-dimensional viscous compressible heat-conducting media with nonmonotone equation of state. Zbl 1160.35491 Ducomet, Bernard; Zlotnik, Alexander 8 2003 On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data. Zbl 1027.35504 Amosov, A. A.; Zlotnik, A. A. 8 1996 On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. II. Zbl 1141.65069 Ducomet, B.; Zlotnik, A. 8 2007 On a new spatial discretization for a regularized 3D compressible isothermal Navier-Stokes-Cahn-Hilliard system of equations with boundary conditions. Zbl 1475.65063 Balashov, Vladislav; Zlotnik, Alexander 8 2021 An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier-Stokes-Cahn-Hilliard equations. Zbl 1446.65060 Balashov, Vladislav; Zlotnik, Alexander 8 2020 On conditions for weak conservativeness of regularized explicit finite-difference schemes for 1D barotropic gas dynamics equations. Zbl 1407.76106 Zlotnik, A.; Lomonosov, T. 8 2018 Uniform estimates and stabilization of solutions to equations of one-dimensional motion of a multicomponent barotropic mixture. Zbl 0852.76078 Zlotnik, A. A. 7 1995 Uniqueness and stability of generalized solutions for a class of quasilinear systems of composite type equations. Zbl 0832.35102 Amosov, A. A.; Zlotnik, A. A. 7 1994 The Numerov-Crank-Nicolson scheme on a non-uniform mesh for the time-dependent Schrödinger equation on the half-axis. Zbl 1327.65164 Zlotnik, Alexander 7 2015 On \(L^2\)-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations. Zbl 1528.65057 Zlotnik, A. A.; Lomonosov, T. A. 7 2020 On a splitting higher-order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped. Zbl 1339.65111 Ducomet, Bernard; Zlotnik, Alexander; Romanova, Alla 7 2015 On some properties of multidimensional hyperbolic quasi-gasdynamic systems of equations. Zbl 1386.76139 Chetverushkin, B. N.; Zlotnik, A. A. 7 2017 On the quasi-gas dynamic system of equations of state and a heat source. Zbl 1201.76231 Zlotnik, A. A. 6 2010 Linearized stability of equilibrium solutions to the quasi-gasdynamic system of equations. Zbl 1213.35085 Zlotnik, A. A. 6 2010 On spatial discretization of the one-dimensional quasi-gasdynamic system of equations with general equations of state and entropy balance. Zbl 1330.76103 Gavrilin, V. A.; Zlotnik, A. A. 6 2015 Generalized global solutions of the equations of the one-dimensional motion of a viscous barotropic gas. Zbl 0682.76061 Zlotnik, A. A.; Amosov, A. A. 6 1988 Remark on the stabilization of a viscous barotropic medium with a nonmonotonic equation of state. Zbl 1011.76071 Ducomet, B.; Zlotnik, A. A. 6 2001 Stabilization for 1D radiative and reactive viscous gas flows. Zbl 1042.35045 Ducomet, Bernard; Zlotnik, Alexander 6 2004 Global Lyapunov functionals of the equations for one-dimensional motion of viscous heat-conducting gas. Zbl 1148.76353 Zlotnik, A. A. 6 2002 Stability of numerical methods for solving second-order hyperbolic equations with a small parameter. Zbl 1528.65063 Zlotnik, A. A.; Chetverushkin, B. N. 6 2020 On higher-order compact ADI schemes for the variable coefficient wave equation. Zbl 1510.65217 Zlotnik, Alexander; Čiegis, Raimondas 6 2022 Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis. Zbl 1333.65098 Zlotnik, Alexander; Zlotnik, Ilya 6 2016 Difference schemes of second-order of accuracy for the equations of the one-dimensional motion of a viscous gas. Zbl 0664.76096 Amosov, A. A.; Zlotnik, A. A. 6 1987 \(L^2\)-dissipativity of the linearized explicit finite-difference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations. Zbl 1440.65106 Zlotnik, Alexander; Lomonosov, Timofey 6 2020 Stability of a Numerov type finite-difference scheme with approximate transparent boundary conditions for the nonstationary Schrödinger equation on the half-axis. Zbl 1256.65086 Zlotnik, A. A.; Lapukhina, A. V. 5 2010 A study of a finite-difference method for the one-dimensional viscous heat conductive gas flow equation. I: A priori estimates and stability. Zbl 0825.65063 Amosov, A. A.; Zlotnik, A. A. 5 1987 Entropy balance for the one-dimensional hyperbolic quasi-gasdynamic system of equations. Zbl 1469.76101 Zlotnik, A. A.; Chetverushkin, B. N. 5 2017 A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes. Zbl 1466.65088 Zlotnik, Alexander; Čiegis, Raimondas 5 2021 The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip. Zbl 1315.65072 Ducomet, Bernard; Zlotnik, Alexander; Zlotnik, Ilya 5 2014 On a Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip. Zbl 1326.65112 Zlotnik, A.; Romanova, A. 5 2015 Family of finite-difference schemes with transparent boundary conditions for the nonstationary Schrödinger equation in a semi-infinite strip. Zbl 1236.65116 Zlotnik, A. A.; Zlotnik, I. A. 5 2011 Quasi-averaging of the system of equations of one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating data. Zbl 1086.76590 Amosov, A. A.; Zlotnik, A. A. 5 1998 Properties of generalized solutions of one-dimensional linear parabolic problems with nonsmooth coefficients. Zbl 0912.35072 Amosov, A. A.; Zlotnik, A. A. 5 1997 On global in time properties of the symmetric compressible barotropic Navier-Stokes-Poisson flows in a vacuum. Zbl 1296.76129 Zlotnik, Alexander 5 2008 A “converse” stability condition is necessary for a compact higher order scheme on non-uniform meshes for the time-dependent Schrödinger equation. Zbl 1393.65019 Zlotnik, Alexander; Čiegis, Raimondas 5 2018 Stability of implicit difference schemes for a linearized hyperbolic quasi-gasdynamic system of equations. Zbl 1446.65087 Zlotnik, A. A.; Chetverushkin, B. N. 5 2020 Global properties of quasiaveraged equations of one-dimensional motion of a viscous heat conducting gas. Zbl 0923.76270 Amosov, A. A.; Zlotnik, A. A. 4 1996 The high order method with discrete TBCs for solving the Cauchy problem for the 1D Schrödinger equation. Zbl 1315.65088 Zlotnik, Alexander; Zlotnik, Ilya 4 2015 A difference scheme for the equations of one-dimensional motion of a viscous barotropic gas, its properties and ”global” error estimates. Zbl 0612.65063 Amosov, A. A.; Zlotnik, A. A. 4 1986 Classification of some modifications of the Euler system of equations. Zbl 1327.35325 Zlotnik, A. A. 4 2006 On the energy dissipative spatial discretization of the barotropic quasi-gasdynamic and compressible Navier-Stokes equations in polar coordinates. Zbl 1448.65126 Zlotnik, Alexander 4 2018 Semidiscrete method for solving equations of a one-dimensional motion of viscous heat-conductive gas with non-smooth data. Zbl 0911.76078 Amosov, A. A.; Zlotnik, A. A. 4 1997 Global behaviour of 1-D viscous compressible barotropic flows with free boundary and self-gravitation. Zbl 1068.76072 Zlotnik, Alexander 4 2003 On compact 4th order finite-difference schemes for the wave equation. Zbl 1483.65145 Zlotnik, Alexander; Kireeva, Olga 4 2021 On \(L^2\)-dissipativity of linearized explicit finite-difference schemes with a regularization on a non-uniform spatial mesh for the 1D gas dynamics equations. Zbl 1411.65118 Zlotnik, Alexander 4 2019 On quasi-gasdynamic system of equations with general equations of state and its application. Zbl 1237.76157 Zlotnik, Alexander; Gavrilin, Vladimir 4 2011 Lower error estimates for three-layer difference methods of solving the wave equation with data from Hölder spaces. Zbl 0791.65069 Zlotnik, A. A. 3 1992 Estimates of the convergence rate of finite element methods for second order hyperbolic equations. Zbl 0755.65097 Zlotnik, A. A. 3 1991 Some finite-element and finite-difference methods for solving mathematical physics problems with non-smooth data in an \(n\)-dimensional cube. I. Zbl 0816.65063 Zlotnik, A. A. 3 1991 The behavior as \(t\to +\infty\) of solutions to a quasilinear nonstationary problem with free boundaries. Zbl 0834.35104 Zlotnik, A. A.; Nguen Zha Bao 3 1994 Spatial discretization of one-dimensional quasi-gasdynamic systems of equations and the entropy and energy balance equations. Zbl 1357.76079 Zlotnik, A. A. 3 2012 An estimate of the error of quasi-averaging of the equations of motion of a viscous barotropic medium with rapidly oscillating data. Zbl 0923.76263 Amosov, A. A.; Zlotnik, A. A. 3 1996 Stabilization of solutions of a certain quasilinear system of equations with a weakly monotone nonlinearity. Zbl 0976.35054 Zlotnik, A. A. 3 1999 Correctness of the problem of viscous gas burning in the case of nonsmooth data and a semidiscrete method of its solution. Zbl 0948.35119 Zlotnik, A. A.; Puzanov, S. N. 3 1999 Weak solutions to viscous heat-conducting gas 1D-equations with discontinuous data: Global existence, uniqueness, and regularity. Zbl 1007.35081 Zlotnik, Alexander; Amosov, Andrey 3 2002 On a regularization of the magnetic gas dynamics system of equations. Zbl 1264.76117 Ducomet, Bernard; Zlotnik, Alexander 3 2013 Parabolicity of the quasi-gasdynamic system of equations, hyperbolicity of one of its modifications, and stability of small perturbations for them. Zbl 1153.76054 Zlotnik, A. A.; Chetverushkin, B. N. 3 2008 Verification of an entropy dissipative QGD-scheme for the 1D gas dynamics equations. Zbl 1473.65132 Zlotnik, Alexander; Lomonosov, Timofey 3 2019 Power-rate asymptotic expansion for 1D viscous heat-conducting gas flows. Zbl 1088.76060 Zlotnik, Alexander 3 2006 Properties and errors of second-order parabolic and hyperbolic perturbations of a first-order symmetric hyperbolic system. Zbl 1530.35087 Zlotnik, A. A.; Chetverushkin, B. N. 3 2023 On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation. Zbl 1518.65096 Zlotnik, Alexander; Čiegis, Raimondas 2 2023 On higher-order compact ADI schemes for the variable coefficient wave equation. Zbl 1510.65217 Zlotnik, Alexander; Čiegis, Raimondas 6 2022 On properties of aggregated regularized systems of equations for a homogeneous multicomponent gas mixture. Zbl 1527.35316 Zlotnik, Alexander; Fedchenko, Anna 2 2022 On the properties of a quasihydrodynamic system of equations for a homogeneous gas mixture with a common regularizing velocity. Zbl 1506.35181 Zlotnik, A. A.; Fedchenko, A. S. 1 2022 On second-order parabolic and hyperbolic perturbations of a first-order hyperbolic system. Zbl 1504.35414 Zlotnik, A. A.; Chetverushkin, B. N. 1 2022 On a new spatial discretization for a regularized 3D compressible isothermal Navier-Stokes-Cahn-Hilliard system of equations with boundary conditions. Zbl 1475.65063 Balashov, Vladislav; Zlotnik, Alexander 8 2021 A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes. Zbl 1466.65088 Zlotnik, Alexander; Čiegis, Raimondas 5 2021 On compact 4th order finite-difference schemes for the wave equation. Zbl 1483.65145 Zlotnik, Alexander; Kireeva, Olga 4 2021 Properties of an aggregated quasi-gasdynamic system of equations for a homogeneous gas mixture. Zbl 1504.76065 Zlotnik, A. A.; Fedchenko, A. S. 3 2021 Spectral stability conditions for an explicit three-level finite-difference scheme for a multidimensional transport equation with perturbations. Zbl 1496.65133 Zlotnik, A. A.; Chetverushkin, B. N. 1 2021 \(L^2\)-dissipativity of finite-difference schemes for 1D regularized barotropic gas dynamics equations at small Mach numbers. Zbl 1468.76047 Zlotnik, A. A.; Lomonosov, T. A. 1 2021 An energy dissipative spatial discretization for the regularized compressible Navier-Stokes-Cahn-Hilliard system of equations. Zbl 1476.65159 Balashov, Vladislav; Zlotnik, Alexander 10 2020 An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier-Stokes-Cahn-Hilliard equations. Zbl 1446.65060 Balashov, Vladislav; Zlotnik, Alexander 8 2020 On \(L^2\)-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations. Zbl 1528.65057 Zlotnik, A. A.; Lomonosov, T. A. 7 2020 Stability of numerical methods for solving second-order hyperbolic equations with a small parameter. Zbl 1528.65063 Zlotnik, A. A.; Chetverushkin, B. N. 6 2020 \(L^2\)-dissipativity of the linearized explicit finite-difference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations. Zbl 1440.65106 Zlotnik, Alexander; Lomonosov, Timofey 6 2020 Stability of implicit difference schemes for a linearized hyperbolic quasi-gasdynamic system of equations. Zbl 1446.65087 Zlotnik, A. A.; Chetverushkin, B. N. 5 2020 Fast Fourier solvers for the tensor product high-order FEM for a Poisson type equation. Zbl 1452.65366 Zlotnik, A. A.; Zlotnik, I. A. 1 2020 On enlarged sufficient conditions for \(L^2\)-dissipativity of linearized explicit schemes with regularization for 1D gas dynamics systems of equations. Zbl 1453.65242 Zlotnik, Alexander 1 2020 Conditions for \(L^2\)-dissipativity of linearized explicit difference schemes with regularization for 1D barotropic gas dynamics equations. Zbl 1461.76354 Zlotnik, A. A.; Lomonosov, T. A. 12 2019 Regularized equations for numerical simulation of flows of homogeneous binary mixtures of viscous compressible gases. Zbl 1433.76051 Elizarova, T. G.; Zlotnik, A. A.; Shil’nikov, E. V. 11 2019 Numerical method for 3D two-component isothermal compressible flows with application to digital rock physics. Zbl 1416.76171 Balashov, Vladislav; Savenkov, Evgenii; Zlotnik, Alexander 9 2019 On \(L^2\)-dissipativity of linearized explicit finite-difference schemes with a regularization on a non-uniform spatial mesh for the 1D gas dynamics equations. Zbl 1411.65118 Zlotnik, Alexander 4 2019 Verification of an entropy dissipative QGD-scheme for the 1D gas dynamics equations. Zbl 1473.65132 Zlotnik, Alexander; Lomonosov, Timofey 3 2019 On a hyperbolic perturbation of a parabolic initial-boundary value problem. Zbl 1524.35281 Chetverushkin, Boris N.; Zlotnik, Alexander A. 12 2018 On conditions for \(L^2\)-dissipativity of linearized explicit QGD finite-difference schemes for one-dimensional gas dynamics equations. Zbl 1408.76396 Zlotnik, A. A.; Lomonosov, T. A. 10 2018 Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Zbl 1407.65203 Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander 9 2018 On conditions for weak conservativeness of regularized explicit finite-difference schemes for 1D barotropic gas dynamics equations. Zbl 1407.76106 Zlotnik, A.; Lomonosov, T. 8 2018 A “converse” stability condition is necessary for a compact higher order scheme on non-uniform meshes for the time-dependent Schrödinger equation. Zbl 1393.65019 Zlotnik, Alexander; Čiegis, Raimondas 5 2018 On the energy dissipative spatial discretization of the barotropic quasi-gasdynamic and compressible Navier-Stokes equations in polar coordinates. Zbl 1448.65126 Zlotnik, Alexander 4 2018 Practical error analysis for the three-level bilinear FEM and finite-difference scheme for the 1D wave equation with non-smooth data. Zbl 1488.65494 Zlotnik, Alexander; Kireeva, Olga 1 2018 On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation. (Sur une méthode d’éléments finis pour résoudre des problèmes de contrôle optimal régis par l’équation d’onde unidimensionnelle généralisée.) Zbl 1401.65112 Vexler, Boris; Zlotnik, Alexander; Trautmann, Philip 1 2018 Entropy-conservative spatial discretization of the multidimensional quasi-gasdynamic system of equations. Zbl 1457.76129 Zlotnik, A. A. 16 2017 Analysis of a regularized model for the isothermal two-component mixture with the diffuse interface. Zbl 1422.65145 Balashov, Vladislav; Zlotnik, Alexander; Savenkov, Evgeny 16 2017 On some properties of multidimensional hyperbolic quasi-gasdynamic systems of equations. Zbl 1386.76139 Chetverushkin, B. N.; Zlotnik, A. A. 7 2017 Entropy balance for the one-dimensional hyperbolic quasi-gasdynamic system of equations. Zbl 1469.76101 Zlotnik, A. A.; Chetverushkin, B. N. 5 2017 A fast direct algorithm for implementing a high-order finite element method on rectangles as applied to boundary value problems for the Poisson equation. Zbl 1371.65123 Zlotnik, A. A.; Zlotnik, I. A. 3 2017 On conservative spatial discretizations of the barotropic quasi-gasdynamic system of equations with a potential body force. Zbl 1382.76198 Zlotnik, A. A. 12 2016 Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis. Zbl 1333.65098 Zlotnik, Alexander; Zlotnik, Ilya 6 2016 On a conservative finite-difference method for 1D shallow water flows based on regularized equations. Zbl 1356.76213 Zlotnik, Alexander; Gavrilin, Vladimir 2 2016 On new spatial discretization of the multidimensional quasi-gasdynamic system of equations with nondecreasing total entropy. Zbl 1354.35121 Zlotnik, A. A. 1 2016 The Numerov-Crank-Nicolson scheme on a non-uniform mesh for the time-dependent Schrödinger equation on the half-axis. Zbl 1327.65164 Zlotnik, Alexander 7 2015 On a splitting higher-order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped. Zbl 1339.65111 Ducomet, Bernard; Zlotnik, Alexander; Romanova, Alla 7 2015 On spatial discretization of the one-dimensional quasi-gasdynamic system of equations with general equations of state and entropy balance. Zbl 1330.76103 Gavrilin, V. A.; Zlotnik, A. A. 6 2015 On a Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip. Zbl 1326.65112 Zlotnik, A.; Romanova, A. 5 2015 The high order method with discrete TBCs for solving the Cauchy problem for the 1D Schrödinger equation. Zbl 1315.65088 Zlotnik, Alexander; Zlotnik, Ilya 4 2015 Error estimates of the Crank-Nicolson-polylinear FEM with the discrete TBC for the generalized Schrödinger equation in an unbounded parallelepiped. Zbl 1359.65174 Zlotnik, Alexander 2 2015 Splitting in potential finite-difference schemes with discrete transparent boundary conditions for the time-dependent Schrödinger equation. Zbl 1328.65188 Zlotnik, Alexander; Ducomet, Bernard; Zlotnik, Ilya; Romanova, Alla 1 2015 On quasi-gasdynamic and quasi-hydrodynamic equations for binary gas mixtures. Zbl 1315.76028 Elizarova, T. G.; Zlotnik, A. A.; Chetverushkin, B. N. 11 2014 The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip. Zbl 1315.65072 Ducomet, Bernard; Zlotnik, Alexander; Zlotnik, Ilya 5 2014 On a regularization of the magnetic gas dynamics system of equations. Zbl 1264.76117 Ducomet, Bernard; Zlotnik, Alexander 3 2013 On construction of quasi-gasdynamic systems of equations and the barotropic system with the potential body force. Zbl 1289.76068 Zlotnik, A. A. 17 2012 Spatial discretization of the one-dimensional quasi-gasdynamic system of equations and the entropy balance equation. Zbl 1274.35301 Zlotnik, A. A. 11 2012 Finite element method with discrete transparent boundary conditions for the time-dependent 1D Schrödinger equation. Zbl 1267.65144 Zlotnik, Alexander; Zlotnik, Ilya 10 2012 The space discretization of the one-dimensional barotropic quasi-gas dynamic system of equations and the energy balance equation. Zbl 1289.76074 Zlotnik, A. A. 8 2012 Spatial discretization of one-dimensional quasi-gasdynamic systems of equations and the entropy and energy balance equations. Zbl 1357.76079 Zlotnik, A. A. 3 2012 Finite element method with discrete transparent boundary conditions for the one-dimensional nonstationary Schrödinger equation. Zbl 1262.65135 Zlotnik, A. A.; Zlotnik, I. A. 1 2012 Family of finite-difference schemes with transparent boundary conditions for the nonstationary Schrödinger equation in a semi-infinite strip. Zbl 1236.65116 Zlotnik, A. A.; Zlotnik, I. A. 5 2011 On quasi-gasdynamic system of equations with general equations of state and its application. Zbl 1237.76157 Zlotnik, Alexander; Gavrilin, Vladimir 4 2011 Energy equalities and estimates for barotropic quasi-gasdynamic and quasi-hydrodynamic systems of equations. Zbl 1224.35356 Zlotnik, A. A. 18 2010 Quasi-gasdynamic system of equations with general equations of state. Zbl 1387.35510 Zlotnik, A. A. 12 2010 On the quasi-gas dynamic system of equations of state and a heat source. Zbl 1201.76231 Zlotnik, A. A. 6 2010 Linearized stability of equilibrium solutions to the quasi-gasdynamic system of equations. Zbl 1213.35085 Zlotnik, A. A. 6 2010 Stability of a Numerov type finite-difference scheme with approximate transparent boundary conditions for the nonstationary Schrödinger equation on the half-axis. Zbl 1256.65086 Zlotnik, A. A.; Lapukhina, A. V. 5 2010 On a family of finite-difference schemes with approximate transparent boundary conditions for a generalized 1D Schrödinger equation. Zbl 1195.65106 Ducomet, Bernard; Zlotnik, Alexander; Zlotnik, Ilya 12 2009 On one version of a semidiscrete Galerkin method for PDE problems involving a generalized 2D Hamiltonian operator. Zbl 1188.65129 Zlotnik, Alexander; Ducomet, Bernard; Goutte, Heloise; Berger, Jean-Francois 1 2009 Error bounds for finite element methods with generalized cubic splines for a 4-th order ordinary differential equation with nonsmooth data. Zbl 1188.65109 Zlotnik, A.; Kireeva, O. 1 2009 Parabolicity of the quasi-gasdynamic system of equations, its hyperbolic second-order modification, and the stability of small perturbations for them. Zbl 1201.76232 Zlotnik, A. A.; Chetverushkin, B. N. 33 2008 Parabolicity of a quasihydrodynamic system of equations and the stability of its small perturbations. Zbl 1160.35326 Zlotnik, A. A. 15 2008 On global in time properties of the symmetric compressible barotropic Navier-Stokes-Poisson flows in a vacuum. Zbl 1296.76129 Zlotnik, Alexander 5 2008 Parabolicity of the quasi-gasdynamic system of equations, hyperbolicity of one of its modifications, and stability of small perturbations for them. Zbl 1153.76054 Zlotnik, A. A.; Chetverushkin, B. N. 3 2008 On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. II. Zbl 1141.65069 Ducomet, B.; Zlotnik, A. 8 2007 On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I. Zbl 1119.65085 Ducomet, B.; Zlotnik, A. 11 2006 Classification of some modifications of the Euler system of equations. Zbl 1327.35325 Zlotnik, A. A. 4 2006 Power-rate asymptotic expansion for 1D viscous heat-conducting gas flows. Zbl 1088.76060 Zlotnik, Alexander 3 2006 Stability criterion for small perturbations for a quasi-gasdynamic system of equations. Zbl 1210.76145 Zlotnik, A. A.; Zlotnik, I. A. 1 2006 Sharp error bounds for a symmetrized locally 1D method for solving the 2D heat equation. Zbl 1094.65094 Zlotnik, Alexander; Ilyicheva, Svetlana 1 2006 Lyapunov functional method for 1D radiative and reactive viscous gas dynamics. Zbl 1070.76044 Ducomet, Bernard; Zlotnik, Alexander 51 2005 On the large-time behavior of 1D radiative and reactive viscous flows for higher-order kinetics. Zbl 1083.35109 Ducomet, Bernard; Zlotnik, Alexander 38 2005 Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system. Zbl 1125.35071 Ducomet, B.; Zlotnik, A. 15 2005 Stabilization rate and stability for viscous compressible barotropic symmetric flows with free boundary for a general mass force. Zbl 1151.35432 Zlotnik, A. A.; Ducomet, B. 11 2005 Viscous compressible barotropic symmetric flows with free boundary under general mass force I: Uniform-in-time bounds and stabilization. Zbl 1068.35102 Ducomet, Bernard; Zlotnik, Alexander 10 2005 The problem of symmetric equilibrium in compressible barotropic fluids with a free surface for a general body force. Zbl 1272.35163 Zlotnik, A. A.; Ducomet, B. 2 2005 Lyapunov functionals of symmetric flows of a viscous compressible barotropic fluid with a free surface for a general body force. Zbl 1272.35164 Zlotnik, A. A.; Ducomet, B. 1 2005 Stabilization of one-dimensional flows of radiative and reactive viscous gas for a general rate of reaction. Zbl 1140.35554 Zlotnik, A. A.; Ducomet, B. 1 2005 Global well-posedness of the Cauchy problem for the equations of a one-dimensional viscous heat-conducting gas with Lebesgue initial data. Zbl 1072.35082 Jiang, Song; Zlotnik, Alexander 16 2004 Weak solutions to the equations of motion of viscous compressible reacting binary mixtures: uniqueness and Lipschitz-continuous dependence on data. Zbl 1122.35118 Zlotnik, A. A. 9 2004 Stabilization for 1D radiative and reactive viscous gas flows. Zbl 1042.35045 Ducomet, Bernard; Zlotnik, Alexander 6 2004 Global properties of solutions to 1D-viscous compressible barotropic fluid equations with density dependent viscosity. Zbl 1040.35064 Straškraba, Ivan; Zlotnik, Alexander 27 2003 Global behavior of 1d-viscous compressible barotropic fluid with a free boundary and large data. Zbl 1042.76050 Straškraba, Ivan; Zlotnik, Alexander 13 2003 Stabilization for equations of one-dimensional viscous compressible heat-conducting media with nonmonotone equation of state. Zbl 1160.35491 Ducomet, Bernard; Zlotnik, Alexander 8 2003 Global behaviour of 1-D viscous compressible barotropic flows with free boundary and self-gravitation. Zbl 1068.76072 Zlotnik, Alexander 4 2003 Stress and heat flux stabilization for viscous compressible medium equations with a nonmonotone state function. Zbl 1043.35107 Zlotnik, A. A. 1 2003 On a decay rate for 1D-viscous compressible barotropic fluid equations. Zbl 1038.35065 Straškraba, Ivan; Zlotnik, Alexander 14 2002 Stabilization for viscous compressible heat-conducting media equations with nonmonotone state functions. Zbl 1078.35524 Ducomet, Bernard; Zlotnik, Alexander 10 2002 Global Lyapunov functionals of the equations for one-dimensional motion of viscous heat-conducting gas. Zbl 1148.76353 Zlotnik, A. A. 6 2002 Weak solutions to viscous heat-conducting gas 1D-equations with discontinuous data: Global existence, uniqueness, and regularity. Zbl 1007.35081 Zlotnik, Alexander; Amosov, Andrey 3 2002 On the stabilization of a viscous barotropic self-gravitating medium with a nonmonotone equation of state. Zbl 1020.76045 Ducomet, B.; Zlotnik, A. A. 2 2002 On superconvergence of a gradient for finite element methods for an elliptic equation with the nonsmooth right-hand side. Zbl 1015.65059 Zlotnik, A. 2 2002 ...and 57 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 423 Authors 90 Zlotnik, Alexander A. 23 Chetverushkin, Boris Nikolaevich 18 Ducomet, Bernard 13 Xin, Zhouping 12 Elizarova, Tat’yana Gennad’evna 12 Zhu, Changjiang 11 Zhang, Jianwen 9 Amosov, Andreĭ Avenirovich 9 Čiegis, Raimondas 9 Li, Jinkai 9 Shang, Zhaoyang 8 Balashov, Vladislav 8 Lomonosov, T. A. 8 Qin, Yuming 8 Zhang, Ting 7 Guo, Zhenhua 7 Li, Jing 7 Liao, Yongkai 6 Fang, Daoyuan 6 Huang, Bin 6 Huang, Lan 6 Kriksin, Yu. A. 6 Li, Hailiang 6 Liu, Yang 6 Nečasová, Šárka 6 Shi, Xiaoding 6 Tishkin, Vladimir Fëdorovich 5 Balashov, V. A. 5 Hong, GuangYi 5 Jiu, Quansen 5 Li, Zilai 5 Lutsky, A. E. 5 Peng, Lishuang 5 Prokudin, Dmitriĭ Alekseevich 5 Radziunas, Mindaugas 5 Sun, Ying 5 Wen, Huanyao 5 Zhang, Mingyu 5 Zhao, Junning 5 Zhong, Xin 4 Bresch, Didier 4 Duan, Qin 4 Fan, Jishan 4 Hou, Xiaofeng 4 Li, Yang 4 Li, Yong 4 Mamontov, Aleksandr Evgen’evich 4 Peng, Hongyun 4 Podryga, Viktoriia O. 4 Polyakov, Sergey V. 4 Savenkov, E. B. 4 Shilnikov, Eugene V. 4 Si, Xin 4 Straškraba, Ivan 4 Wang, Yi 4 Yao, Zhengan 4 Ye, Yulin 4 Zatorska, Ewelina 4 Zhang, Lan 4 Zhang, Peixin 4 Zhao, Huijiang 4 Zlotnik, I. A. 3 Bragin, Michael D. 3 Bulatov, O. V. 3 Chen, Yazhou 3 Dou, Changsheng 3 Evje, Steinar 3 Fedchenko, A. S. 3 Hu, Guili 3 Huang, Bingkang 3 Huang, Bingyuan 3 Huang, Xiangdi 3 Jiang, Peng 3 Jiang, Song 3 Liu, Hao 3 Lomonosov, Timofey 3 Mahmood, Tariq 3 Peng, Yi 3 Romanova, Alla 3 Saveliev, Valeri I. 3 Savenkov, Evgeny 3 Steinbach, Olaf 3 Sun, Yongzhong 3 Tan, Zhong 3 Tani, Atusi 3 Trautmann, Philip 3 Umehara, Morimichi 3 Vexler, Boris 3 Wan, Ling 3 Wang, Taige 3 Wang, Tao 3 Wang, Wenjun 3 Yang, Jing 3 Yu, Haibo 3 Zank, Marco 3 Zhang, Jianlin 3 Zhao, Xiaokui 3 Zi, Ruizhao 2 Abd Hamid, Nur Nadiah 2 Bugajev, Andrej ...and 323 more Authors all top 5 Cited in 108 Serials 33 Journal of Differential Equations 27 Mathematical Methods in the Applied Sciences 25 Doklady Mathematics 18 Journal of Mathematical Analysis and Applications 18 Computational Mathematics and Mathematical Physics 15 Journal of Mathematical Physics 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Journal of Mathematical Fluid Mechanics 13 Matematicheskoe Modelirovanie 12 Mathematical Notes 10 Differential Equations 10 Nonlinear Analysis. Real World Applications 9 Archive for Rational Mechanics and Analysis 9 Applied Mathematics Letters 9 Journal of Mathematical Sciences (New York) 9 Mathematical Modelling and Analysis 8 Acta Mathematicae Applicatae Sinica. English Series 8 Science China. Mathematics 7 Communications in Mathematical Physics 7 Journal of Computational Physics 7 Russian Journal of Numerical Analysis and Mathematical Modelling 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Lobachevskii Journal of Mathematics 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Nonlinearity 5 Applied Numerical Mathematics 5 SIAM Journal on Mathematical Analysis 4 Computers & Mathematics with Applications 4 Lithuanian Mathematical Journal 4 Discrete and Continuous Dynamical Systems. Series B 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Boundary Value Problems 3 Applicable Analysis 3 Computer Physics Communications 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Computational and Applied Mathematics 3 Acta Applicandae Mathematicae 3 Journal of Scientific Computing 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Discrete and Continuous Dynamical Systems 3 Abstract and Applied Analysis 3 Journal of Inequalities and Applications 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 Advances in Difference Equations 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Kinetic and Related Models 3 Mathematical Control and Related Fields 2 Communications on Pure and Applied Mathematics 2 Applied Mathematics and Computation 2 Numerical Functional Analysis and Optimization 2 Siberian Mathematical Journal 2 Physica D 2 Acta Mathematica Sinica. English Series 2 Communications on Pure and Applied Analysis 2 Analysis and Applications (Singapore) 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Journal of Function Spaces 1 Computers and Fluids 1 International Journal of Engineering Science 1 Journal of Applied Mathematics and Mechanics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mathematics and Modeling 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Pattern Recognition 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Bulletin des Sciences Mathématiques 1 Monte Carlo Methods and Applications 1 Sbornik: Mathematics 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Computational Methods in Applied Mathematics 1 Doklady Natsional’noĭ Akademii Nauk Belarusi 1 Journal of Hyperbolic Differential Equations ...and 8 more Serials all top 5 Cited in 26 Fields 380 Partial differential equations (35-XX) 357 Fluid mechanics (76-XX) 117 Numerical analysis (65-XX) 51 Classical thermodynamics, heat transfer (80-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Astronomy and astrophysics (85-XX) 12 Statistical mechanics, structure of matter (82-XX) 8 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 4 Quantum theory (81-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year