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## Faragó, István

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 Author ID: farago.istvan Published as: Farago, I.; Farago, Istvan; Farago, István; Faragó, I.; Faragó, István Homepage: http://www.cs.elte.hu/~faragois/ External Links: MGP · dblp
 Documents Indexed: 146 Publications since 1982, including 9 Books Reviewing Activity: 5 Reviews
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#### Co-Authors

 29 single-authored 32 Havasi, Ágnes 26 Horváth, Robert A. 25 Zlatev, Zahari 16 Dimov, Ivan Todor 15 Karátson, János 14 Korotov, Sergey 10 Georgiev, Krassimir 7 Fekete, Imre 6 Csomós, Petra 6 Vulkov, Lubin G. 5 Ostromsky, Tzvetan 4 Kovács, Mihály 4 Szabó, Tamás T. 3 Komáromi, Nándor 3 Kriston, Ákos 3 Pfeil, Tamás 3 Takács, Bálint 2 Axelsson, Axel Owe Holger 2 Botchev, Mike A. 2 D’Ambra, Pasqua 2 Farkas, Zénó 2 Filipov, Stefan M. 2 Galántai, Aurél 2 Gospodinov, Ivan D. 2 Hariton, Haroten A. 2 Izsák, Ferenc 2 Mincsovics, Miklós Emil 2 Neittaanmäki, Pekka J. 2 Repovš, Dušan D. 2 Schilders, Willy H. A. 2 Tarvainen, Pasi 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 Kersner, Robert 1 Klincsik, Mihaly 1 Ladics, Tamás 1 Li, Zhilin 1 Mosleh, Rahele 1 Palencia, Cesar 1 Pfrang, A. 1 Sebestyén, G. Svantnerné 1 Shaĭdurov, Vladimir Victorovich 1 Simon, Peter L. 1 Söderlind, Gustaf 1 Svantnerné Sebestyén, Gabriella 1 Szépszó, Gabriella 1 Thomsen, Per Grove
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#### 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 Mathematics and Computers in Simulation 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 Bulletins for Applied Mathematics 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 2 Applied Mathematics Letters 2 Applications of Mathematics 2 Applied Mathematical Modelling 2 Mathematics in Industry 2 International Journal of Numerical Analysis and Modeling. Series B 1 Applied Mathematics and Computation 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 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Applied Analysis 1 Publications of the University of Miskolc. Series D. Natural Sciences. Mathematics 1 International Journal of Numerical Modelling 1 Computational Methods in Applied Mathematics 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
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#### Fields

 124 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 25 Ordinary differential equations (34-XX) 12 General and overarching topics; collections (00-XX) 10 Biology and other natural sciences (92-XX) 8 Operator theory (47-XX) 7 Fluid mechanics (76-XX) 6 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 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 Integral equations (45-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)

#### Citations contained in zbMATH Open

89 Publications have been cited 443 times in 245 Documents Cited by Year
Discrete maximum principle and adequate discretizations of linear parabolic problems. Zbl 1130.65086
Faragó, István; Horváth, Róbert
2006
Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117
Faragó, I.; Karátson, J.
2002
Weighted sequential splittings and their analysis. Zbl 1086.65053
Csomós, P.; Faragó, I.; Havasi, Á.
2005
Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094
Faragó, I.; Horváth, R.; Korotov, S.
2005
Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. Zbl 1118.65122
Karátson, J.; Faragó, I.
2005
Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088
Faragó, István; Karátson, János; Korotov, Sergey
2012
Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309
Karátson, János; Faragó, István
2003
Stability of the Richardson extrapolation applied together with the $$\theta$$-method. Zbl 1201.65134
Zlatev, Zahari; Faragó, István; Havasi, Ágnes
2010
Continuous and discrete parabolic operators and their qualitative properties. Zbl 1176.65087
Faragó, István; Horváth, Róbert
2009
A modified iterated operator splitting method. Zbl 1176.65064
Faragó, István
2008
Additive and iterative operator splitting methods and their numerical investigation. Zbl 1142.65374
Faragó, István; Gnandt, Boglárka; Havasi, Ágnes
2008
Consistency analysis of operator splitting methods for $$C_{0}$$-semigroups expression. Zbl 1125.47033
Faragó, István; Havasi, Ágnes
2007
On the nonnegativity conservation of finite element solutions of parabolic problems. Zbl 0994.65102
Faragó, István; Horváth, Róbert
2001
Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution. Zbl 0821.65065
Faragó, I.; Pfeil, T.
1995
Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133
Faragó, István; Horváth, Róbert; Korotov, Sergey
2011
Error analysis of the numerical solution of split differential equations. Zbl 1187.65084
Csomós, P.; Faragó, I.
2008
A review of reliable numerical models for three-dimensional linear parabolic problems. Zbl 1194.80119
Faragó, I.; Horváth, R.
2007
Efficient implementation of stable Richardson extrapolation algorithms. Zbl 1205.65014
Faragó, István; Havasi, Ágnes; Zlatev, Zahari
2010
Richardson-extrapolated sequential splitting and its application. Zbl 1160.65022
Faragó, István; Havasi, Ágnes; Zlatev, Zahari
2009
Application of operator splitting to the Maxwell equations including a source term. Zbl 1159.78346
Botchev, M. A.; Faragó, I.; Horváth, R.
2009
On the convergence and local splitting error of different splitting schemes. Zbl 1189.76427
Faragó, István; Havasi, Ágnes
2005
The gradient-finite element method for elliptic problems. Zbl 0987.65121
Faragó, I.; Karátson, J.
2001
Splitting methods and their application to the abstract Cauchy problems. Zbl 1118.65333
Faragó, I.
2005
Richardson extrapolation combined with the sequential splitting procedure and the $$\theta$$-method. Zbl 1250.65097
Zlatev, Zahari; Faragó, István; Havasi, Ágnes
2012
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.
2005
Testing weighted splitting schemes on a one-column transport-chemistry model. Zbl 1151.65343
Botchev, Mike; Faragó, István; Havasi, Ágnes
2004
Operator splitting and commutativity analysis in the Danish Eulerian model. Zbl 1063.92051
Dimov, I.; Faragó, I.; Havasi, Á.; Zlatev, Z.
2004
$$L$$-commutativity of the operators in splitting methods for air pollution models. Zbl 1006.68158
Dimov, Ivan; Faragó, István; Havasi, Ágnes; Zlatev, Zahari
2001
The convergence of diagonally implicit Runge-Kutta methods combined with Richardson extrapolation. Zbl 1319.65061
Faragó, István; Havasi, Ágnes; Zlatev, Zahari
2013
Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547
Axelsson, O.; Faragó, I.; Karátson, J.
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.
2002
Richardson extrapolation. Practical aspects and applications. Zbl 06769085
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Havasi, Ágnes
2018
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
2013
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey
2010
Qualitative properties of monotone linear parabolic operators. Zbl 1207.35081
Faragó, I.; Horváth, R.
2008
On the additive splitting procedures and their computer realization. Zbl 1176.65065
Faragó, István; Thomsen, Per Grove; Zlatev, Zahari
2008
Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions. Zbl 0874.65068
Faragó, I.
1996
Shooting-projection method for two-point boundary value problems. Zbl 1373.34032
Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István
2017
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
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
2017
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.
2016
On some qualitatively adequate discrete space-time models of epidemic propagation. Zbl 1323.92203
Faragó, István; Horváth, Róbert
2016
Notes on the basic notions in nonlinear numerical analysis. Zbl 1324.65086
Faragó, I.; Mincsovics, M.; Fekete, I.
2012
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
2011
Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064
Faragó, István; Horváth, Róbert; Korotov, Sergey
2004
The mathematical background of operator splitting and the effect of non-commutativity. Zbl 1031.65094
Faragó, I.; Havasi, Á.
2001
Nonnegativity of the difference schemes. Zbl 0849.15002
Faragó, István
1995
Finite element method for solving nonlinear parabolic equations. Zbl 0716.65091
Farago, István
1991
On the zero-stability of multistep methods on smooth nonuniform grids. Zbl 1406.65046
Söderlind, Gustaf; Fekete, Imre; Faragó, István
2018
Qualitative properties of some discrete models of disease propagation. Zbl 1391.37060
Faragó, István; Horváth, Róbert
2018
Editorial: Efficient algorithms for large scale scientific computations: introduction. Zbl 1368.00053
Faragó, István (ed.)
2014
Convergence and stability constant of the theta-method. Zbl 1340.65152
Faragó, István
2013
On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154
Faragó, István; Korotov, Sergey; Szabó, Tamás
2013
On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124
Farago, Istvan; Korotov, Sergey; Szabo, Tamas
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
2011
On some stability properties of the Richardson extrapolation applied together with the $$\theta$$-method. Zbl 1280.65071
Zlatev, Zahari; Faragó, István; Havasi, Ágnes
2010
Discrete maximum principle for finite element parabolic models in higher dimensions. Zbl 1214.65052
Faragó, István
2010
Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089
Faragó, István; Karátson, János
2008
Computational complexity of weighted splitting schemes on parallel computers. Zbl 1115.68086
Csomós, P.; Dimov, I.; Faragó, I.; Havasi, Á.; Ostromsky, Tz.
2007
Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices. Zbl 0926.65032
Faragó, I.; Tarvainen, P.
1997
Finite element method for solving nonlinear parabolic systems. Zbl 0716.65092
Farago, I.
1991
Finite element method for solving linear parabolic problems. Zbl 0606.65077
Faragó, István
1985
Space dependent models for studying the spread of some diseases. Zbl 1448.92345
Takács, Bálint; Horváth, Róbert; Faragó, István
2020
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
2019
Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method. Zbl 07074958
Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István
2019
Reliable numerical modelling of malaria propagation. Zbl 06945732
Faragó, István; Mincsovics, Miklós Emil; Mosleh, Rahele
2018
Qualitative properties of nonlinear parabolic operators II: the case of PDE systems. Zbl 06937840
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
2018
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.
2017
Qualitatively adequate numerical modelling of spatial SIRS-type disease propagation. Zbl 1399.39033
Faragó, István; Horváth, Róbert
2016
The effect of tree-diffusion in a mathematical model of Easter Island’s population. Zbl 1399.92034
Takács, Bálint; Horváth, Róbert; Faragó, István
2016
Qualitative properties of the finite difference solution of a space-time epidemic propagation model. Zbl 1389.35030
Faragó, István; Horváth, Róbert
2016
Mathematical problems in meteorological modelling. Contributions based on the presentations at the workshop, Budapest, Hungary, May 2014. Zbl 1353.86002
Bátkai, András (ed.); Csomós, Petra (ed.); Faragó, István (ed.); Horányi, András (ed.); Szépszó, Gabriella (ed.)
2016
Application of Richardson extrapolation for multi-dimensional advection equations. Zbl 1368.65151
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan
2014
Stability concepts and their applications. Zbl 1368.65073
Fekete, Imre; Faragó, István
2014
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
2013
Note on the convergence of the implicit Euler method. Zbl 1352.65203
Faragó, István
2013
Numerical solution of the Maxwell equations in time-varying media using Magnus expansion. Zbl 1243.78049
Faragó, István; Havasi, Ágnes; Horváth, Robert
2012
Matrix and discrete maximum principles. Zbl 1280.65101
Faragó, István
2010
Qualitative analysis of the Crank-Nicolson method for the heat conduction equation. Zbl 1233.65053
Faragó, István
2009
On the Richardson extrapolation as applied to the sequential splitting method. Zbl 1229.65010
Faragó, István; Havasi, Ágnes
2008
Operator splittings and numerical methods. Zbl 1142.65378
Faragó, I.
2006
On maximum norm contractivity of second order damped single step methods. Zbl 1168.65374
Faragó, István; Kovács, Mihály
2003
Qualitative analysis of matrix splitting methods. Zbl 0983.65029
Faragó, I.; Tarvainen, P.
2001
Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058
Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka
1998
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
1993
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
1993
Nonnegativity of the numerical solution of parabolic problems. Zbl 0744.65064
Faragó, I.; Komáromi, N.
1991
An $$A$$-stable three-level method for the Galerkin solution of quasilinear parabolic problems. Zbl 0705.65068
Faragó, I.; Galántai, A.
1988
Finite element method for solving elliptic problems. Zbl 0521.65073
Farago, Istvan
1982
Space dependent models for studying the spread of some diseases. Zbl 1448.92345
Takács, Bálint; Horváth, Róbert; Faragó, István
2020
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
2019
Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method. Zbl 07074958
Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István
2019
Richardson extrapolation. Practical aspects and applications. Zbl 06769085
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Havasi, Ágnes
2018
On the zero-stability of multistep methods on smooth nonuniform grids. Zbl 1406.65046
Söderlind, Gustaf; Fekete, Imre; Faragó, István
2018
Qualitative properties of some discrete models of disease propagation. Zbl 1391.37060
Faragó, István; Horváth, Róbert
2018
Reliable numerical modelling of malaria propagation. Zbl 06945732
Faragó, István; Mincsovics, Miklós Emil; Mosleh, Rahele
2018
Qualitative properties of nonlinear parabolic operators II: the case of PDE systems. Zbl 06937840
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
2018
Shooting-projection method for two-point boundary value problems. Zbl 1373.34032
Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István
2017
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
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
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.
2017
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.
2016
On some qualitatively adequate discrete space-time models of epidemic propagation. Zbl 1323.92203
Faragó, István; Horváth, Róbert
2016
Qualitatively adequate numerical modelling of spatial SIRS-type disease propagation. Zbl 1399.39033
Faragó, István; Horváth, Róbert
2016
The effect of tree-diffusion in a mathematical model of Easter Island’s population. Zbl 1399.92034
Takács, Bálint; Horváth, Róbert; Faragó, István
2016
Qualitative properties of the finite difference solution of a space-time epidemic propagation model. Zbl 1389.35030
Faragó, István; Horváth, Róbert
2016
Mathematical problems in meteorological modelling. Contributions based on the presentations at the workshop, Budapest, Hungary, May 2014. Zbl 1353.86002
Bátkai, András (ed.); Csomós, Petra (ed.); Faragó, István (ed.); Horányi, András (ed.); Szépszó, Gabriella (ed.)
2016
Editorial: Efficient algorithms for large scale scientific computations: introduction. Zbl 1368.00053
Faragó, István (ed.)
2014
Application of Richardson extrapolation for multi-dimensional advection equations. Zbl 1368.65151
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes; Ostromsky, Tzvetan
2014
Stability concepts and their applications. Zbl 1368.65073
Fekete, Imre; Faragó, István
2014
The convergence of diagonally implicit Runge-Kutta methods combined with Richardson extrapolation. Zbl 1319.65061
Faragó, István; Havasi, Ágnes; Zlatev, Zahari
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
2013
Convergence and stability constant of the theta-method. Zbl 1340.65152
Faragó, István
2013
On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154
Faragó, István; Korotov, Sergey; Szabó, Tamás
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
2013
Note on the convergence of the implicit Euler method. Zbl 1352.65203
Faragó, István
2013
Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088
Faragó, István; Karátson, János; Korotov, Sergey
2012
Richardson extrapolation combined with the sequential splitting procedure and the $$\theta$$-method. Zbl 1250.65097
Zlatev, Zahari; Faragó, István; Havasi, Ágnes
2012
Notes on the basic notions in nonlinear numerical analysis. Zbl 1324.65086
Faragó, I.; Mincsovics, M.; Fekete, I.
2012
Numerical solution of the Maxwell equations in time-varying media using Magnus expansion. Zbl 1243.78049
Faragó, István; Havasi, Ágnes; Horváth, Robert
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
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
2011
On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124
Farago, Istvan; Korotov, Sergey; Szabo, Tamas
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
2011
Stability of the Richardson extrapolation applied together with the $$\theta$$-method. Zbl 1201.65134
Zlatev, Zahari; Faragó, István; Havasi, Ágnes
2010
Efficient implementation of stable Richardson extrapolation algorithms. Zbl 1205.65014
Faragó, István; Havasi, Ágnes; Zlatev, Zahari
2010
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey
2010
On some stability properties of the Richardson extrapolation applied together with the $$\theta$$-method. Zbl 1280.65071
Zlatev, Zahari; Faragó, István; Havasi, Ágnes
2010
Discrete maximum principle for finite element parabolic models in higher dimensions. Zbl 1214.65052
Faragó, István
2010
Matrix and discrete maximum principles. Zbl 1280.65101
Faragó, István
2010
Continuous and discrete parabolic operators and their qualitative properties. Zbl 1176.65087
Faragó, István; Horváth, Róbert
2009
Richardson-extrapolated sequential splitting and its application. Zbl 1160.65022
Faragó, István; Havasi, Ágnes; Zlatev, Zahari
2009
Application of operator splitting to the Maxwell equations including a source term. Zbl 1159.78346
Botchev, M. A.; Faragó, I.; Horváth, R.
2009
Qualitative analysis of the Crank-Nicolson method for the heat conduction equation. Zbl 1233.65053
Faragó, István
2009
A modified iterated operator splitting method. Zbl 1176.65064
Faragó, István
2008
Additive and iterative operator splitting methods and their numerical investigation. Zbl 1142.65374
Faragó, István; Gnandt, Boglárka; Havasi, Ágnes
2008
Error analysis of the numerical solution of split differential equations. Zbl 1187.65084
Csomós, P.; Faragó, I.
2008
Qualitative properties of monotone linear parabolic operators. Zbl 1207.35081
Faragó, I.; Horváth, R.
2008
On the additive splitting procedures and their computer realization. Zbl 1176.65065
Faragó, István; Thomsen, Per Grove; Zlatev, Zahari
2008
Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089
Faragó, István; Karátson, János
2008
On the Richardson extrapolation as applied to the sequential splitting method. Zbl 1229.65010
Faragó, István; Havasi, Ágnes
2008
Consistency analysis of operator splitting methods for $$C_{0}$$-semigroups expression. Zbl 1125.47033
Faragó, István; Havasi, Ágnes
2007
A review of reliable numerical models for three-dimensional linear parabolic problems. Zbl 1194.80119
Faragó, I.; Horváth, R.
2007
Computational complexity of weighted splitting schemes on parallel computers. Zbl 1115.68086
Csomós, P.; Dimov, I.; Faragó, I.; Havasi, Á.; Ostromsky, Tz.
2007
Discrete maximum principle and adequate discretizations of linear parabolic problems. Zbl 1130.65086
Faragó, István; Horváth, Róbert
2006
Operator splittings and numerical methods. Zbl 1142.65378
Faragó, I.
2006
Weighted sequential splittings and their analysis. Zbl 1086.65053
Csomós, P.; Faragó, I.; Havasi, Á.
2005
Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094
Faragó, I.; Horváth, R.; Korotov, S.
2005
Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. Zbl 1118.65122
Karátson, J.; Faragó, I.
2005
On the convergence and local splitting error of different splitting schemes. Zbl 1189.76427
Faragó, István; Havasi, Ágnes
2005
Splitting methods and their application to the abstract Cauchy problems. Zbl 1118.65333
Faragó, I.
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.
2005
Testing weighted splitting schemes on a one-column transport-chemistry model. Zbl 1151.65343
Botchev, Mike; Faragó, István; Havasi, Ágnes
2004
Operator splitting and commutativity analysis in the Danish Eulerian model. Zbl 1063.92051
Dimov, I.; Faragó, I.; Havasi, Á.; Zlatev, Z.
2004
Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064
Faragó, István; Horváth, Róbert; Korotov, Sergey
2004
Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309
Karátson, János; Faragó, István
2003
On maximum norm contractivity of second order damped single step methods. Zbl 1168.65374
Faragó, István; Kovács, Mihály
2003
Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117
Faragó, I.; Karátson, J.
2002
Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547
Axelsson, O.; Faragó, I.; Karátson, J.
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.
2002
On the nonnegativity conservation of finite element solutions of parabolic problems. Zbl 0994.65102
Faragó, István; Horváth, Róbert
2001
The gradient-finite element method for elliptic problems. Zbl 0987.65121
Faragó, I.; Karátson, J.
2001
$$L$$-commutativity of the operators in splitting methods for air pollution models. Zbl 1006.68158
Dimov, Ivan; Faragó, István; Havasi, Ágnes; Zlatev, Zahari
2001
The mathematical background of operator splitting and the effect of non-commutativity. Zbl 1031.65094
Faragó, I.; Havasi, Á.
2001
Qualitative analysis of matrix splitting methods. Zbl 0983.65029
Faragó, I.; Tarvainen, P.
2001
Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058
Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka
1998
Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices. Zbl 0926.65032
Faragó, I.; Tarvainen, P.
1997
Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions. Zbl 0874.65068
Faragó, I.
1996
Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution. Zbl 0821.65065
Faragó, I.; Pfeil, T.
1995
Nonnegativity of the difference schemes. Zbl 0849.15002
Faragó, István
1995
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
1993
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
1993
Finite element method for solving nonlinear parabolic equations. Zbl 0716.65091
Farago, István
1991
Finite element method for solving nonlinear parabolic systems. Zbl 0716.65092
Farago, I.
1991
Nonnegativity of the numerical solution of parabolic problems. Zbl 0744.65064
Faragó, I.; Komáromi, N.
1991
An $$A$$-stable three-level method for the Galerkin solution of quasilinear parabolic problems. Zbl 0705.65068
Faragó, I.; Galántai, A.
1988
Finite element method for solving linear parabolic problems. Zbl 0606.65077
Faragó, István
1985
Finite element method for solving elliptic problems. Zbl 0521.65073
Farago, Istvan
1982
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#### Cited by 312 Authors

 49 Faragó, István 21 Karátson, János 18 Havasi, Ágnes 16 Horváth, Robert A. 16 Zlatev, Zahari 13 Dimov, Ivan Todor 11 Korotov, Sergey 11 Vulkov, Lubin G. 9 Csomós, Petra 8 Georgiev, Krassimir 8 Raza, Nauman 8 Sial, Sultan 6 Koleva, Miglena N. 6 Mincsovics, Miklós Emil 5 Geiser, Jürgen 5 Kuzmin, Dmitri 5 Matus, Pëtr Paŭlavich 5 Ostromsky, Tzvetan 4 Bátkai, András 4 Botchev, Mikhail A. 4 Hieu, Le Minh 4 Siddiqi, Shahid Saeed 4 Vejchodský, Tomáš 3 Awanou, Gerard Michel 3 Axelsson, Axel Owe Holger 3 Butt, Asma Rashid 3 Fekete, Imre 3 Huang, Weizhang 3 Kovács, Balázs 3 Kovács, Mihály 3 Neuberger, John W. 3 Nickel, Gregor 3 Sun, Shuyu 3 Szabó, Tamás T. 3 Tanoğlu, Gamze B. 3 Yi, Dokkyun 2 Antal, István 2 Chen, Huangxin 2 Chernogorova, Tatiana P. 2 Farkas, Zénó 2 Gücüyenen, Nurcan 2 Hannukainen, Antti 2 Hundsdorfer, Willem H. 2 Kou, Jisheng 2 Kriston, Ákos 2 Ladics, Tamás 2 Li, Xianping 2 Liang, Dong 2 Lóczi, Lajos 2 Margenov, Svetozar D. 2 Mudzimbabwe, Walter 2 Poliakov, Dmitriy 2 Protas, Bartosz 2 Qiu, Jingmei 2 Ruiz-Ramírez, Javier 2 Shayegan, Amir Hossein Salehi 2 Takács, Bálint 2 Xiong, Tao 2 Xu, Zhengfu 2 Zakeri, Ali 1 Acosta, Carlos Daniel 1 Adel Fawzi, Firas 1 Adewole, Matthew Olayiwola 1 Afonso, Juan Carlos 1 Alexandrov, Vassil N. 1 Arenas, Abraham J. 1 Arévalo, Carmen 1 Arrarás, Andres 1 Attalienti, Antonio 1 Awi, Roméo 1 Bansel, Gurvinder 1 Basting, Steffen 1 Bäumer, Boris 1 Bayleyegn, Teshome 1 Bebendorf, Mario 1 Bermejo, Rodolfo 1 Bhrawy, Ali Hassan 1 Bilionis, Ilias 1 Bobrowski, Adam 1 Bodó, Ágnes 1 Borsos, Bálint 1 Botchev, Mike A. 1 Bragin, Michael D. 1 Causley, Mathew 1 Cavalli, Fausto 1 Cervi, Jessica 1 Chathurika, Amarasingha Arachchige Mihiri 1 Chen-Charpentier, Benito M. 1 Chen, Peng 1 Chen, Youmin 1 Choi, Booyong 1 Coope, Ian D. 1 Csóka, József 1 Dai, Ruxin 1 Danaila, Ionut 1 De Staelen, Rob H. 1 Dehghan Takht Fooladi, Mehdi 1 Del Sastre, P. Galán 1 Diao, Dongxu 1 Ding, Deqiong ...and 212 more Authors
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#### Cited in 70 Serials

 36 Computers & Mathematics with Applications 35 Journal of Computational and Applied Mathematics 18 Journal of Computational Physics 11 Central European Journal of Mathematics 9 Applied Mathematics and Computation 9 Applied Numerical Mathematics 7 Journal of Mathematical Analysis and Applications 7 Applied Mathematical Modelling 7 International Journal of Computer Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 Numerische Mathematik 4 Mathematics and Computers in Simulation 4 Journal of Scientific Computing 3 Numerical Methods for Partial Differential Equations 3 Mathematical and Computer Modelling 3 Applications of Mathematics 3 SIAM Journal on Scientific Computing 3 Journal of Mathematical Chemistry 3 Computational Methods in Applied Mathematics 2 BIT 2 Acta Applicandae Mathematicae 2 Numerical Algorithms 1 Computers and Fluids 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 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 Computational Mechanics 1 Applied Mathematics Letters 1 Computational Mathematics and Mathematical Physics 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Computational Optimization and Applications 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Abstract and Applied Analysis 1 Fractional Calculus & Applied Analysis 1 Computational Geosciences 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics and Computing 1 Journal of Function Spaces and Applications 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 International Journal of Parallel, Emergent and Distributed Systems 1 Communications in Applied Mathematics and Computational Science 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Algorithms 1 International Journal of Differential Equations 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Function Spaces 1 European Journal of Mathematics 1 International Journal of Applied and Computational Mathematics 1 Cogent Mathematics & Statistics
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#### Cited in 29 Fields

 209 Numerical analysis (65-XX) 117 Partial differential equations (35-XX) 29 Ordinary differential equations (34-XX) 20 Biology and other natural sciences (92-XX) 17 Fluid mechanics (76-XX) 14 Operator theory (47-XX) 14 Optics, electromagnetic theory (78-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Mechanics of deformable solids (74-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX)