Edit Profile (opens in new tab) Faragó, István Co-Author Distance Author ID: farago.istvan Published as: Faragó, István; Faragó, I.; Farago, Istvan; Farago, I.; Farago, István more...less Homepage: http://www.cs.elte.hu/~faragois/ External Links: MGP · dblp Documents Indexed: 150 Publications since 1982, including 2 Books and 3 Additional arXiv Preprints 12 Contributions as Editor Reviewing Activity: 9 Reviews Co-Authors: 58 Co-Authors with 132 Joint Publications 1,135 Co-Co-Authors all top 5 Co-Authors 30 single-authored 36 Havasi, Ágnes 27 Horváth, Robert A. 26 Zlatev, Zahari 17 Dimov, Ivan Todor 15 Karátson, János 14 Korotov, Sergey 11 Georgiev, Krassimir 7 Fekete, Imre 6 Csomós, Petra 6 Vulkov, Lubin G. 5 Filipov, Stefan M. 5 Ostromsky, Tzvetan 5 Takács, Bálint M. 4 Kovács, Mihály 4 Mosleh, Rahele 4 Szabó, Tamás T. 3 Bayleyegn, Teshome 3 Komáromi, Nándor 3 Kriston, Ákos 3 Mincsovics, Miklós Emil 3 Pfeil, Tamás 3 Repovš, Dušan D. 2 Axelsson, Axel Owe Holger 2 Bochev, M. A. 2 Boda, Livia 2 D’Ambra, Pasqua 2 Farkas, Zénó 2 Galántai, Aurél 2 Gospodinov, Ivan D. 2 Hariton, Haroten A. 2 Izsák, Ferenc 2 Neittaanmäki, Pekka J. 2 Schilders, Willy H. A. 2 Sebestyén, G. Svantnerné 2 Tarvainen, Pasi 1 Avdzhieva, Ana 1 Bátkai, András 1 Cencelj, Matija 1 Csóka, József 1 Csörnyei, Zoltán 1 Dorner, Fanni 1 Gnandt, Boglárka 1 Horányi, András 1 Horváth, Sándor 1 Kalmár-Nagy, Tamás 1 Kersner, Robert 1 Klincsik, Mihaly 1 Ladics, Tamás 1 Li, Zhilin 1 Mandal, Parna 1 Palencia, Cesar 1 Pfrang, A. 1 Shaĭdurov, Vladimir Victorovich 1 Simon, Peter L. 1 Söderlind, Gustaf 1 Svantnerné Sebestyén, Gabriella 1 Szépszó, Gabriella 1 Thomsen, Per Grove all top 5 Serials 19 Computers & Mathematics with Applications 10 Journal of Computational and Applied Mathematics 9 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 5 PU.M.A. Pure Mathematics and Applications 5 Electronic Journal of Qualitative Theory of Differential Equations 4 Central European Journal of Mathematics 4 Lecture Notes in Computer Science 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 Bulletins for Applied Mathematics 3 Applied Numerical Mathematics 2 IMA Journal of Numerical Analysis 2 Periodica Mathematica Hungarica 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 2 Applied Mathematics Letters 2 Applications of Mathematics 2 Applied Mathematical Modelling 2 Computational Methods in Applied Mathematics 2 Mathematics in Industry 2 International Journal of Numerical Analysis and Modeling. Series B 1 BIT 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Semigroup Forum 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Publications of the University of Miskolc. Series D. Natural Sciences. Mathematics 1 International Journal of Numerical Modelling 1 Journal of Computational and Applied Mechanics 1 Mathematical Modelling and Analysis 1 Miskolc Mathematical Notes 1 International Journal of Numerical Analysis and Modeling 1 International Journal of Parallel, Emergent and Distributed Systems 1 Advances in Computation: Theory and Practice 1 Progress in Computational Fluid Dynamics 1 International Journal of Differential Equations 1 Advances in Applied Mathematics and Mechanics 1 European Journal of Mathematics 1 De Gruyter Series in Applied and Numerical Mathematics all top 5 Fields 138 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 27 Ordinary differential equations (34-XX) 17 Biology and other natural sciences (92-XX) 12 General and overarching topics; collections (00-XX) 8 Operator theory (47-XX) 8 Fluid mechanics (76-XX) 6 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 551 times in 328 Documents Cited by ▼ Year ▼ Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117 Faragó, I.; Karátson, J. 42 2002 Discrete maximum principle and adequate discretizations of linear parabolic problems. Zbl 1130.65086 Faragó, István; Horváth, Róbert 39 2006 Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094 Faragó, I.; Horváth, R.; Korotov, S. 22 2005 Weighted sequential splittings and their analysis. Zbl 1086.65053 Csomós, P.; Faragó, I.; Havasi, Á. 22 2005 Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088 Faragó, István; Karátson, János; Korotov, Sergey 21 2012 Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. Zbl 1118.65122 Karátson, J.; Faragó, I. 18 2005 Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309 Karátson, János; Faragó, István 16 2003 Stability of the Richardson extrapolation applied together with the \(\theta \)-method. Zbl 1201.65134 Zlatev, Zahari; Faragó, István; Havasi, Ágnes 15 2010 Application of operator splitting to the Maxwell equations including a source term. Zbl 1159.78346 Botchev, M. A.; Faragó, I.; Horváth, R. 14 2009 Efficient implementation of stable Richardson extrapolation algorithms. Zbl 1205.65014 Faragó, István; Havasi, Ágnes; Zlatev, Zahari 12 2010 Error analysis of the numerical solution of split differential equations. Zbl 1187.65084 Csomós, P.; Faragó, I. 11 2008 Additive and iterative operator splitting methods and their numerical investigation. Zbl 1142.65374 Faragó, István; Gnandt, Boglárka; Havasi, Ágnes 11 2008 On the convergence and local splitting error of different splitting schemes. Zbl 1189.76427 Faragó, István; Havasi, Ágnes 11 2005 Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133 Faragó, István; Horváth, Róbert; Korotov, Sergey 10 2011 Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution. Zbl 0821.65065 Faragó, I.; Pfeil, T. 10 1995 The gradient-finite element method for elliptic problems. Zbl 0987.65121 Faragó, I.; Karátson, J. 10 2001 A modified iterated operator splitting method. Zbl 1176.65064 Faragó, István 10 2008 Splitting methods and their application to the abstract Cauchy problems. Zbl 1118.65333 Faragó, I. 10 2005 A review of reliable numerical models for three-dimensional linear parabolic problems. Zbl 1194.80119 Faragó, I.; Horváth, R. 10 2007 Continuous and discrete parabolic operators and their qualitative properties. Zbl 1176.65087 Faragó, István; Horváth, Róbert 9 2009 Consistency analysis of operator splitting methods for \(C_{0}\)-semigroups expression. Zbl 1125.47033 Faragó, István; Havasi, Ágnes 8 2007 On the nonnegativity conservation of finite element solutions of parabolic problems. Zbl 0994.65102 Faragó, István; Horváth, Róbert 7 2001 Richardson-extrapolated sequential splitting and its application. Zbl 1160.65022 Faragó, István; Havasi, Ágnes; Zlatev, Zahari 7 2009 Operator splitting and commutativity analysis in the Danish Eulerian model. Zbl 1063.92051 Dimov, I.; Faragó, I.; Havasi, Á.; Zlatev, Z. 7 2004 Investigation of numerical time-integrations of Maxwell’s equations using the staggered grid spatial discretization. Zbl 1108.78016 Faragó, I.; Horváth, R.; Schilders, W. H. A. 7 2005 Richardson extrapolation combined with the sequential splitting procedure and the \(\theta \)-method. Zbl 1250.65097 Zlatev, Zahari; Faragó, István; Havasi, Ágnes 7 2012 The convergence of diagonally implicit Runge-Kutta methods combined with Richardson extrapolation. Zbl 1319.65061 Faragó, István; Havasi, Ágnes; Zlatev, Zahari 7 2013 Sharpening the estimate of the stability constant in the maximum-norm of the Crank-Nicolson scheme for the one-dimensional heat equation. Zbl 1003.65103 Faragó, I.; Palencia, C. 7 2002 Shooting-projection method for two-point boundary value problems. Zbl 1373.34032 Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István 7 2017 On the zero-stability of multistep methods on smooth nonuniform grids. Zbl 1406.65046 Söderlind, Gustaf; Fekete, Imre; Faragó, István 7 2018 Richardson extrapolation. Practical aspects and applications. Zbl 1478.65003 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Havasi, Ágnes 6 2018 Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547 Axelsson, O.; Faragó, I.; Karátson, J. 6 2002 On some qualitatively adequate discrete space-time models of epidemic propagation. Zbl 1323.92203 Faragó, István; Horváth, Róbert 6 2016 Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268 Faragó, István; Karátson, János; Korotov, Sergey 5 2010 Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method. Zbl 1524.65278 Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István 5 2019 Qualitative properties of monotone linear parabolic operators. Zbl 1207.35081 Faragó, I.; Horváth, R. 4 2008 On the additive splitting procedures and their computer realization. Zbl 1176.65065 Faragó, István; Thomsen, Per Grove; Zlatev, Zahari 4 2008 Finite element method for solving nonlinear parabolic equations. Zbl 0716.65091 Farago, István 4 1991 Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions. Zbl 0874.65068 Faragó, I. 4 1996 Convergence and stability constant of the theta-method. Zbl 1340.65152 Faragó, István 4 2013 Application of Richardson extrapolation for multi-dimensional advection equations. Zbl 1368.65151 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 4 2014 Space dependent models for studying the spread of some diseases. Zbl 1448.92345 Takács, Bálint; Horváth, Róbert; Faragó, István 4 2020 Improvement of accuracy of multi-scale models of Li-ion batteries by applying operator splitting techniques. Zbl 1351.78062 Farkas, Z.; Faragó, I.; Kriston, Á.; Pfrang, A. 4 2017 An IMEX scheme for reaction-diffusion equations: application for a PEM fuel cell model. Zbl 1269.65079 Faragó, István; Izsák, Ferenc; Szabó, Tamás; Kriston, Ákos 4 2013 Qualitative properties of some discrete models of disease propagation. Zbl 1391.37060 Faragó, István; Horváth, Róbert 4 2018 Solving advection equations by applying the Crank-Nicolson scheme combined with the Richardson extrapolation. Zbl 1237.65099 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 3 2011 Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064 Faragó, István; Horváth, Róbert; Korotov, Sergey 3 2004 Stability of patterns and of constant steady states for a cross-diffusion system. Zbl 1323.35067 Sebestyén, G. Svantnerné; Faragó, István; Horváth, Róbert; Kersner, R.; Klincsik, M. 3 2016 Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207 Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 3 2017 Notes on the basic notions in nonlinear numerical analysis. Zbl 1324.65086 Faragó, I.; Mincsovics, M.; Fekete, I. 3 2012 Reliable numerical modelling of malaria propagation. Zbl 1483.65122 Faragó, István; Mincsovics, Miklós Emil; Mosleh, Rahele 3 2018 Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation. Zbl 1455.65110 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 3 2020 Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods. Zbl 1348.65114 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 3 2017 On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154 Faragó, István; Korotov, Sergey; Szabó, Tamás 3 2013 Note on the convergence of the implicit Euler method. Zbl 1352.65203 Faragó, István 3 2013 Computational complexity of weighted splitting schemes on parallel computers. Zbl 1115.68086 Csomós, P.; Dimov, I.; Faragó, I.; Havasi, Á.; Ostromsky, Tz. 2 2007 Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089 Faragó, István; Karátson, János 2 2008 Richardson extrapolated numerical methods for treatment of one-dimensional advection equations. Zbl 1317.65003 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 2 2011 Testing weighted splitting schemes on a one-column transport-chemistry model. Zbl 1151.65343 Botchev, Mike; Faragó, István; Havasi, Ágnes 2 2004 The mathematical background of operator splitting and the effect of non-commutativity. Zbl 1031.65094 Faragó, I.; Havasi, Á. 2 2001 Nonnegativity of the difference schemes. Zbl 0849.15002 Faragó, István 2 1995 On maximum norm contractivity of second order damped single step methods. Zbl 1168.65374 Faragó, István; Kovács, Mihály 2 2003 Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices. Zbl 0926.65032 Faragó, I.; Tarvainen, P. 2 1997 Finite element method for solving linear parabolic problems. Zbl 0606.65077 Faragó, István 2 1985 Finite element method for solving nonlinear parabolic systems. Zbl 0716.65092 Farago, I. 2 1991 On the order of operator splitting methods for time-dependent linear systems of differential equations. Zbl 1243.65077 Farago, I.; Havasi, A.; Horvath, R. 2 2011 The effect of tree-diffusion in a mathematical model of Easter Island’s population. Zbl 1399.92034 Takács, Bálint; Horváth, Róbert; Faragó, István 2 2016 Editorial: Efficient algorithms for large scale scientific computations: introduction. Zbl 1368.00053 2 2014 Absolute stability and implementation of the two-times repeated Richardson extrapolation together with explicit Runge-Kutta methods. Zbl 1434.65092 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 2 2019 Discrete maximum principle for finite element parabolic models in higher dimensions. Zbl 1214.65052 Faragó, István 2 2010 On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124 Farago, Istvan; Korotov, Sergey; Szabo, Tamas 2 2011 Finite element method for solving elliptic problems. Zbl 0521.65073 Farago, Istvan 1 1982 On some stability properties of the Richardson extrapolation applied together with the \(\theta \)-method. Zbl 1280.65071 Zlatev, Zahari; Faragó, István; Havasi, Ágnes 1 2010 Matrix and discrete maximum principles. Zbl 1280.65101 Faragó, István 1 2010 Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058 Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka 1 1998 Qualitative analysis of matrix splitting methods. Zbl 0983.65029 Faragó, I.; Tarvainen, P. 1 2001 The differential equation of the heat transfer and qualitative properties its numerical solutions: I. The nonnegativity of the first order approximations. Zbl 0906.65102 Faragó, István; Hariton, Haroten A.; Komáromi, Nándor; Pfeil, Tamás 1 1993 The differential equation of the heat transfer and qualitative properties its numerical solutions: II. The nonnegativity of the second order approximation, the maximum principle and the nonoscillation. Zbl 0906.65103 Faragó, István; Hariton, Haroten A.; Komáromi, Nándor; Pfeil, Tamás 1 1993 Operator splittings and numerical methods. Zbl 1142.65378 Faragó, I. 1 2006 Qualitative analysis of the Crank-Nicolson method for the heat conduction equation. Zbl 1233.65053 Faragó, István 1 2009 On the Richardson extrapolation as applied to the sequential splitting method. Zbl 1229.65010 Faragó, István; Havasi, Ágnes 1 2008 An \(A\)-stable three-level method for the Galerkin solution of quasilinear parabolic problems. Zbl 0705.65068 Faragó, I.; Galántai, A. 1 1988 Nonnegativity of the numerical solution of parabolic problems. Zbl 0744.65064 Faragó, I.; Komáromi, N. 1 1991 Numerical solution of the Maxwell equations in time-varying media using Magnus expansion. Zbl 1243.78049 Faragó, István; Havasi, Ágnes; Horváth, Robert 1 2012 The convergence of explicit Runge-Kutta methods combined with Richardson extrapolation. Zbl 1313.65184 Faragó, István; Havasi, Ágnes; Zlatev, Zahari 1 2012 Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection. Zbl 1340.65184 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 1 2013 On continuous and discrete maximum/minimum principles for reaction-diffusion problems with the Neumann boundary condition. Zbl 1363.35061 Faragó, István; Korotov, Sergey; Szabó, Tamás 1 2015 Qualitatively adequate numerical modelling of spatial SIRS-type disease propagation. Zbl 1399.39033 Faragó, István; Horváth, Róbert 1 2016 Stability concepts and their applications. Zbl 1368.65073 Fekete, Imre; Faragó, István 1 2014 Qualitative properties of the finite difference solution of a space-time epidemic propagation model. Zbl 1389.35030 Faragó, István; Horváth, Róbert 1 2016 Mathematical problems in meteorological modelling. Contributions based on the presentations at the workshop, Budapest, Hungary, May 2014. Zbl 1353.86002 1 2016 Stability properties of repeated Richardson extrapolation applied together with some implicit Runge-Kutta methods. Zbl 1434.65011 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 1 2019 On the consistency order of Runge-Kutta methods combined with active Richardson extrapolation. Zbl 1492.65200 Bayleyegn, Teshome; Faragó, István; Havasi, Ágnes 1 2022 On nonlinear Schrödinger equations on the hyperbolic space. Zbl 1448.35125 Cencelj, Matija; Faragó, István; Horváth, Róbert; Repovš, Dušan D. 1 2020 Efficient implementation of advanced Richardson extrapolation in an atmospheric chemical scheme. Zbl 1481.92192 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 1 2022 Positively invariant semi-implicit discrete model for malaria propagation. Zbl 1513.92069 Faragó, István; Mosleh, Rahele 1 2020 Qualitative properties of nonlinear parabolic operators II: The case of PDE systems. Zbl 1516.35141 Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 1 2018 Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846 Faragó, István; Karátson, János; Korotov, Sergey 1 2017 On the consistency order of Runge-Kutta methods combined with active Richardson extrapolation. Zbl 1492.65200 Bayleyegn, Teshome; Faragó, István; Havasi, Ágnes 1 2022 Efficient implementation of advanced Richardson extrapolation in an atmospheric chemical scheme. Zbl 1481.92192 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 1 2022 Space dependent models for studying the spread of some diseases. Zbl 1448.92345 Takács, Bálint; Horváth, Róbert; Faragó, István 4 2020 Explicit Runge-Kutta methods combined with advanced versions of the Richardson extrapolation. Zbl 1455.65110 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 3 2020 On nonlinear Schrödinger equations on the hyperbolic space. Zbl 1448.35125 Cencelj, Matija; Faragó, István; Horváth, Róbert; Repovš, Dušan D. 1 2020 Positively invariant semi-implicit discrete model for malaria propagation. Zbl 1513.92069 Faragó, István; Mosleh, Rahele 1 2020 Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method. Zbl 1524.65278 Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István 5 2019 Absolute stability and implementation of the two-times repeated Richardson extrapolation together with explicit Runge-Kutta methods. Zbl 1434.65092 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 2 2019 Stability properties of repeated Richardson extrapolation applied together with some implicit Runge-Kutta methods. Zbl 1434.65011 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 1 2019 On the zero-stability of multistep methods on smooth nonuniform grids. Zbl 1406.65046 Söderlind, Gustaf; Fekete, Imre; Faragó, István 7 2018 Richardson extrapolation. Practical aspects and applications. Zbl 1478.65003 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Havasi, Ágnes 6 2018 Qualitative properties of some discrete models of disease propagation. Zbl 1391.37060 Faragó, István; Horváth, Róbert 4 2018 Reliable numerical modelling of malaria propagation. Zbl 1483.65122 Faragó, István; Mincsovics, Miklós Emil; Mosleh, Rahele 3 2018 Qualitative properties of nonlinear parabolic operators II: The case of PDE systems. Zbl 1516.35141 Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 1 2018 Shooting-projection method for two-point boundary value problems. Zbl 1373.34032 Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István 7 2017 Improvement of accuracy of multi-scale models of Li-ion batteries by applying operator splitting techniques. Zbl 1351.78062 Farkas, Z.; Faragó, I.; Kriston, Á.; Pfrang, A. 4 2017 Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207 Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 3 2017 Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods. Zbl 1348.65114 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes 3 2017 Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846 Faragó, István; Karátson, János; Korotov, Sergey 1 2017 On some qualitatively adequate discrete space-time models of epidemic propagation. Zbl 1323.92203 Faragó, István; Horváth, Róbert 6 2016 Stability of patterns and of constant steady states for a cross-diffusion system. Zbl 1323.35067 Sebestyén, G. Svantnerné; Faragó, István; Horváth, Róbert; Kersner, R.; Klincsik, M. 3 2016 The effect of tree-diffusion in a mathematical model of Easter Island’s population. Zbl 1399.92034 Takács, Bálint; Horváth, Róbert; Faragó, István 2 2016 Qualitatively adequate numerical modelling of spatial SIRS-type disease propagation. Zbl 1399.39033 Faragó, István; Horváth, Róbert 1 2016 Qualitative properties of the finite difference solution of a space-time epidemic propagation model. Zbl 1389.35030 Faragó, István; Horváth, Róbert 1 2016 Mathematical problems in meteorological modelling. Contributions based on the presentations at the workshop, Budapest, Hungary, May 2014. Zbl 1353.86002 1 2016 On continuous and discrete maximum/minimum principles for reaction-diffusion problems with the Neumann boundary condition. Zbl 1363.35061 Faragó, István; Korotov, Sergey; Szabó, Tamás 1 2015 Application of Richardson extrapolation for multi-dimensional advection equations. Zbl 1368.65151 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 4 2014 Editorial: Efficient algorithms for large scale scientific computations: introduction. Zbl 1368.00053 2 2014 Stability concepts and their applications. Zbl 1368.65073 Fekete, Imre; Faragó, István 1 2014 The convergence of diagonally implicit Runge-Kutta methods combined with Richardson extrapolation. Zbl 1319.65061 Faragó, István; Havasi, Ágnes; Zlatev, Zahari 7 2013 Convergence and stability constant of the theta-method. Zbl 1340.65152 Faragó, István 4 2013 An IMEX scheme for reaction-diffusion equations: application for a PEM fuel cell model. Zbl 1269.65079 Faragó, István; Izsák, Ferenc; Szabó, Tamás; Kriston, Ákos 4 2013 On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154 Faragó, István; Korotov, Sergey; Szabó, Tamás 3 2013 Note on the convergence of the implicit Euler method. Zbl 1352.65203 Faragó, István 3 2013 Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection. Zbl 1340.65184 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 1 2013 Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088 Faragó, István; Karátson, János; Korotov, Sergey 21 2012 Richardson extrapolation combined with the sequential splitting procedure and the \(\theta \)-method. Zbl 1250.65097 Zlatev, Zahari; Faragó, István; Havasi, Ágnes 7 2012 Notes on the basic notions in nonlinear numerical analysis. Zbl 1324.65086 Faragó, I.; Mincsovics, M.; Fekete, I. 3 2012 Numerical solution of the Maxwell equations in time-varying media using Magnus expansion. Zbl 1243.78049 Faragó, István; Havasi, Ágnes; Horváth, Robert 1 2012 The convergence of explicit Runge-Kutta methods combined with Richardson extrapolation. Zbl 1313.65184 Faragó, István; Havasi, Ágnes; Zlatev, Zahari 1 2012 Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133 Faragó, István; Horváth, Róbert; Korotov, Sergey 10 2011 Solving advection equations by applying the Crank-Nicolson scheme combined with the Richardson extrapolation. Zbl 1237.65099 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 3 2011 Richardson extrapolated numerical methods for treatment of one-dimensional advection equations. Zbl 1317.65003 Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan 2 2011 On the order of operator splitting methods for time-dependent linear systems of differential equations. Zbl 1243.65077 Farago, I.; Havasi, A.; Horvath, R. 2 2011 On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124 Farago, Istvan; Korotov, Sergey; Szabo, Tamas 2 2011 Stability of the Richardson extrapolation applied together with the \(\theta \)-method. Zbl 1201.65134 Zlatev, Zahari; Faragó, István; Havasi, Ágnes 15 2010 Efficient implementation of stable Richardson extrapolation algorithms. Zbl 1205.65014 Faragó, István; Havasi, Ágnes; Zlatev, Zahari 12 2010 Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268 Faragó, István; Karátson, János; Korotov, Sergey 5 2010 Discrete maximum principle for finite element parabolic models in higher dimensions. Zbl 1214.65052 Faragó, István 2 2010 On some stability properties of the Richardson extrapolation applied together with the \(\theta \)-method. Zbl 1280.65071 Zlatev, Zahari; Faragó, István; Havasi, Ágnes 1 2010 Matrix and discrete maximum principles. Zbl 1280.65101 Faragó, István 1 2010 Application of operator splitting to the Maxwell equations including a source term. Zbl 1159.78346 Botchev, M. A.; Faragó, I.; Horváth, R. 14 2009 Continuous and discrete parabolic operators and their qualitative properties. Zbl 1176.65087 Faragó, István; Horváth, Róbert 9 2009 Richardson-extrapolated sequential splitting and its application. Zbl 1160.65022 Faragó, István; Havasi, Ágnes; Zlatev, Zahari 7 2009 Qualitative analysis of the Crank-Nicolson method for the heat conduction equation. Zbl 1233.65053 Faragó, István 1 2009 Error analysis of the numerical solution of split differential equations. Zbl 1187.65084 Csomós, P.; Faragó, I. 11 2008 Additive and iterative operator splitting methods and their numerical investigation. Zbl 1142.65374 Faragó, István; Gnandt, Boglárka; Havasi, Ágnes 11 2008 A modified iterated operator splitting method. Zbl 1176.65064 Faragó, István 10 2008 Qualitative properties of monotone linear parabolic operators. Zbl 1207.35081 Faragó, I.; Horváth, R. 4 2008 On the additive splitting procedures and their computer realization. Zbl 1176.65065 Faragó, István; Thomsen, Per Grove; Zlatev, Zahari 4 2008 Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089 Faragó, István; Karátson, János 2 2008 On the Richardson extrapolation as applied to the sequential splitting method. Zbl 1229.65010 Faragó, István; Havasi, Ágnes 1 2008 A review of reliable numerical models for three-dimensional linear parabolic problems. Zbl 1194.80119 Faragó, I.; Horváth, R. 10 2007 Consistency analysis of operator splitting methods for \(C_{0}\)-semigroups expression. Zbl 1125.47033 Faragó, István; Havasi, Ágnes 8 2007 Computational complexity of weighted splitting schemes on parallel computers. Zbl 1115.68086 Csomós, P.; Dimov, I.; Faragó, I.; Havasi, Á.; Ostromsky, Tz. 2 2007 Discrete maximum principle and adequate discretizations of linear parabolic problems. Zbl 1130.65086 Faragó, István; Horváth, Róbert 39 2006 Operator splittings and numerical methods. Zbl 1142.65378 Faragó, I. 1 2006 Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094 Faragó, I.; Horváth, R.; Korotov, S. 22 2005 Weighted sequential splittings and their analysis. Zbl 1086.65053 Csomós, P.; Faragó, I.; Havasi, Á. 22 2005 Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. Zbl 1118.65122 Karátson, J.; Faragó, I. 18 2005 On the convergence and local splitting error of different splitting schemes. Zbl 1189.76427 Faragó, István; Havasi, Ágnes 11 2005 Splitting methods and their application to the abstract Cauchy problems. Zbl 1118.65333 Faragó, I. 10 2005 Investigation of numerical time-integrations of Maxwell’s equations using the staggered grid spatial discretization. Zbl 1108.78016 Faragó, I.; Horváth, R.; Schilders, W. H. A. 7 2005 Operator splitting and commutativity analysis in the Danish Eulerian model. Zbl 1063.92051 Dimov, I.; Faragó, I.; Havasi, Á.; Zlatev, Z. 7 2004 Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064 Faragó, István; Horváth, Róbert; Korotov, Sergey 3 2004 Testing weighted splitting schemes on a one-column transport-chemistry model. Zbl 1151.65343 Botchev, Mike; Faragó, István; Havasi, Ágnes 2 2004 Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309 Karátson, János; Faragó, István 16 2003 On maximum norm contractivity of second order damped single step methods. Zbl 1168.65374 Faragó, István; Kovács, Mihály 2 2003 Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117 Faragó, I.; Karátson, J. 42 2002 Sharpening the estimate of the stability constant in the maximum-norm of the Crank-Nicolson scheme for the one-dimensional heat equation. Zbl 1003.65103 Faragó, I.; Palencia, C. 7 2002 Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547 Axelsson, O.; Faragó, I.; Karátson, J. 6 2002 The gradient-finite element method for elliptic problems. Zbl 0987.65121 Faragó, I.; Karátson, J. 10 2001 On the nonnegativity conservation of finite element solutions of parabolic problems. Zbl 0994.65102 Faragó, István; Horváth, Róbert 7 2001 The mathematical background of operator splitting and the effect of non-commutativity. Zbl 1031.65094 Faragó, I.; Havasi, Á. 2 2001 Qualitative analysis of matrix splitting methods. Zbl 0983.65029 Faragó, I.; Tarvainen, P. 1 2001 Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058 Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka 1 1998 Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices. Zbl 0926.65032 Faragó, I.; Tarvainen, P. 2 1997 Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions. Zbl 0874.65068 Faragó, I. 4 1996 Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution. Zbl 0821.65065 Faragó, I.; Pfeil, T. 10 1995 Nonnegativity of the difference schemes. Zbl 0849.15002 Faragó, István 2 1995 The differential equation of the heat transfer and qualitative properties its numerical solutions: I. The nonnegativity of the first order approximations. Zbl 0906.65102 Faragó, István; Hariton, Haroten A.; Komáromi, Nándor; Pfeil, Tamás 1 1993 The differential equation of the heat transfer and qualitative properties its numerical solutions: II. The nonnegativity of the second order approximation, the maximum principle and the nonoscillation. Zbl 0906.65103 Faragó, István; Hariton, Haroten A.; Komáromi, Nándor; Pfeil, Tamás 1 1993 Finite element method for solving nonlinear parabolic equations. Zbl 0716.65091 Farago, István 4 1991 Finite element method for solving nonlinear parabolic systems. Zbl 0716.65092 Farago, I. 2 1991 Nonnegativity of the numerical solution of parabolic problems. Zbl 0744.65064 Faragó, I.; Komáromi, N. 1 1991 An \(A\)-stable three-level method for the Galerkin solution of quasilinear parabolic problems. Zbl 0705.65068 Faragó, I.; Galántai, A. 1 1988 Finite element method for solving linear parabolic problems. Zbl 0606.65077 Faragó, István 2 1985 Finite element method for solving elliptic problems. Zbl 0521.65073 Farago, Istvan 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 453 Authors 59 Faragó, István 25 Karátson, János 21 Havasi, Ágnes 18 Horváth, Robert A. 16 Zlatev, Zahari 14 Vulkov, Lubin G. 13 Dimov, Ivan Todor 12 Csomós, Petra 11 Korotov, Sergey 10 Koleva, Miglena Nikolaeva 9 Georgiev, Krassimir 9 Raza, Nauman 9 Sial, Sultan 7 Mincsovics, Miklós Emil 6 Bochev, M. A. 5 Fekete, Imre 5 Geiser, Jürgen 5 Kuzmin, Dmitri 5 Matus, Pëtr Paŭlavich 5 Ostromsky, Tzvetan 5 Takács, Bálint M. 4 Bátkai, András 4 Bayleyegn, Teshome 4 Borsos, Benjámin 4 Hieu, Le Minh 4 Siddiqi, Shahid Saeed 4 Vejchodský, Tomáš 3 Adewole, Matthew Olayiwola 3 Awanou, Gerard Michel 3 Axelsson, Axel Owe Holger 3 Butt, Asma Rashid 3 Filipov, Stefan M. 3 González-Pinto, Severiano 3 Gyulov, Tihomir B. 3 Hernandez-Abreu, Domingo 3 Huang, Weizhang 3 Jeyakarthikeyan, P. V. 3 Kovacs, Balazs A. 3 Layton, William J. 3 Lóczi, Lajos 3 Neuberger, John W. 3 Nickel, Gregor 3 Protas, Bartosz 3 Shayegan, Amir Hossein Salehi 3 Sun, Shuyu 3 Szabó, Tamás T. 3 Tanoğlu, Gamze B. 3 Yi, Dokkyun 3 Zakeri, Ali 2 Antal, István 2 Bermejo, Rodolfo 2 Bragin, Michael D. 2 Chen, Huangxin 2 Chernogorova, Tatiana P. 2 Farkas, Bálint 2 Farkas, Zénó 2 Gospodinov, Ivan D. 2 Gücüyenen, Nurcan 2 Hadjimichael, Yiannis 2 Hairer, Ernst 2 Hannukainen, Antti 2 Hochbruck, Marlis 2 Hundsdorfer, Willem H. 2 Javid, Ahmad 2 Kong, Linghua 2 Kou, Jisheng 2 Kovács, Mihály 2 Kriston, Ákos 2 Ladics, Tamás 2 Li, Dongfang 2 Li, Xianping 2 Liang, Dong 2 Lymbery, Maria 2 Margenov, Svetozar D. 2 Mosleh, Rahele 2 Mudzimbabwe, Walter 2 Narayanamurthi, Mahesh 2 Poliakov, Dmitriy 2 Qiu, Jingmei 2 Ruiz-Ramírez, Javier 2 Sandu, Adrian 2 Shadid, John N. 2 Sikolya, Eszter 2 Toulopoulos, Ioannis 2 Vengatesan, S. 2 Xiong, Tao 2 Xu, Zhengfu 1 Abbasbandy, Saeid 1 Acosta, Carlos Daniel 1 Adel Fawzi, Firas 1 Afonso, Juan Carlos 1 Akhymbek, Meiram Erkanatuly 1 Alawneh, Ahmad 1 Alnabulsi, Salam 1 Amoroso, Eleonora 1 Ampimah, Benjamin Chris 1 Angelova, Jordanka A. 1 Appolloni, Luigi 1 Arenas, Abraham J. 1 Arévalo, Carmen ...and 353 more Authors all top 5 Cited in 91 Serials 38 Computers & Mathematics with Applications 35 Journal of Computational and Applied Mathematics 25 Journal of Computational Physics 13 Applied Mathematics and Computation 13 Applied Numerical Mathematics 11 Journal of Mathematical Analysis and Applications 11 International Journal of Computer Mathematics 11 Central European Journal of Mathematics 9 Applied Mathematical Modelling 9 SIAM Journal on Scientific Computing 7 Numerische Mathematik 6 Computer Methods in Applied Mechanics and Engineering 6 Mathematics and Computers in Simulation 6 Computational Methods in Applied Mathematics 4 Numerical Methods for Partial Differential Equations 4 Journal of Scientific Computing 4 Journal of Mathematical Chemistry 3 BIT 3 Mathematical and Computer Modelling 3 Applications of Mathematics 3 SIAM Review 3 Mathematical Modelling and Analysis 2 Mathematical Methods in the Applied Sciences 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 Numerical Algorithms 2 Computational Mathematics and Mathematical Physics 2 Linear Algebra and its Applications 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 European Journal of Mathematics 1 Computers and Fluids 1 Computer Physics Communications 1 Periodica Mathematica Hungarica 1 Physica A 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Computing 1 Czechoslovak Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Iranian Mathematical Society 1 Journal of the Nigerian Mathematical Society 1 Computational Mechanics 1 SIAM Journal on Applied Mathematics 1 Computational Optimization and Applications 1 Numerical Linear Algebra with Applications 1 Turkish Journal of Mathematics 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Fractional Calculus & Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differential Equations 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics and Computing 1 Quantum Information Processing 1 Journal of Function Spaces and Applications 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 International Journal of Parallel, Emergent and Distributed Systems 1 Communications in Applied Mathematics and Computational Science 1 Optimization Letters 1 Operators and Matrices 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Algorithms 1 International Journal of Differential Equations 1 Nonlinear Phenomena in Complex Systems (Minsk) 1 Science China. Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Function Spaces 1 Computational Methods for Differential Equations 1 International Journal of Applied and Computational Mathematics 1 Applied Mathematics and Nonlinear Sciences 1 AIMS Mathematics 1 Cogent Mathematics & Statistics all top 5 Cited in 33 Fields 276 Numerical analysis (65-XX) 141 Partial differential equations (35-XX) 39 Ordinary differential equations (34-XX) 31 Fluid mechanics (76-XX) 28 Biology and other natural sciences (92-XX) 20 Operator theory (47-XX) 19 Optics, electromagnetic theory (78-XX) 13 Mechanics of deformable solids (74-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Difference and functional equations (39-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year