Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117
Faragó, I.; Karátson, J. |
|
2002
|
Discrete maximum principle and adequate discretizations of linear parabolic problems. Zbl 1130.65086
Faragó, István; Horváth, Róbert |
|
2006
|
Weighted sequential splittings and their analysis. Zbl 1086.65053
Csomós, P.; Faragó, I.; Havasi, Á. |
|
2005
|
Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088
Faragó, István; Karátson, János; Korotov, Sergey |
|
2012
|
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
|
Stability of the Richardson extrapolation applied together with the \(\theta \)-method. Zbl 1201.65134
Zlatev, Zahari; Faragó, István; Havasi, Ágnes |
|
2010
|
Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309
Karátson, János; Faragó, István |
|
2003
|
Application of operator splitting to the Maxwell equations including a source term. Zbl 1159.78346
Botchev, M. A.; Faragó, I.; Horváth, R. |
|
2009
|
Error analysis of the numerical solution of split differential equations. Zbl 1187.65084
Csomós, P.; Faragó, I. |
|
2008
|
Efficient implementation of stable Richardson extrapolation algorithms. Zbl 1205.65014
Faragó, István; Havasi, Ágnes; Zlatev, Zahari |
|
2010
|
Additive and iterative operator splitting methods and their numerical investigation. Zbl 1142.65374
Faragó, István; Gnandt, Boglárka; Havasi, Ágnes |
|
2008
|
Splitting methods and their application to the abstract Cauchy problems. Zbl 1118.65333
Faragó, I. |
|
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 |
|
2011
|
On the convergence and local splitting error of different splitting schemes. Zbl 1189.76427
Faragó, István; Havasi, Ágnes |
|
2005
|
A modified iterated operator splitting method. Zbl 1176.65064
Faragó, István |
|
2008
|
A review of reliable numerical models for three-dimensional linear parabolic problems. Zbl 1194.80119
Faragó, I.; Horváth, R. |
|
2007
|
Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution. Zbl 0821.65065
Faragó, I.; Pfeil, T. |
|
1995
|
The gradient-finite element method for elliptic problems. Zbl 0987.65121
Faragó, I.; Karátson, J. |
|
2001
|
Continuous and discrete parabolic operators and their qualitative properties. Zbl 1176.65087
Faragó, István; Horváth, Róbert |
|
2009
|
On the nonnegativity conservation of finite element solutions of parabolic problems. Zbl 0994.65102
Faragó, István; Horváth, Róbert |
|
2001
|
Consistency analysis of operator splitting methods for \(C_{0}\)-semigroups expression. Zbl 1125.47033
Faragó, István; Havasi, Ágnes |
|
2007
|
Shooting-projection method for two-point boundary value problems. Zbl 1373.34032
Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István |
|
2017
|
Richardson extrapolation combined with the sequential splitting procedure and the \(\theta \)-method. Zbl 1250.65097
Zlatev, Zahari; Faragó, István; Havasi, Ágnes |
|
2012
|
Operator splitting and commutativity analysis in the Danish Eulerian model. Zbl 1063.92051
Dimov, I.; Faragó, I.; Havasi, Á.; Zlatev, Z. |
|
2004
|
On the zero-stability of multistep methods on smooth nonuniform grids. Zbl 1406.65046
Söderlind, Gustaf; Fekete, Imre; Faragó, István |
|
2018
|
Richardson-extrapolated sequential splitting and its application. Zbl 1160.65022
Faragó, István; Havasi, Ágnes; Zlatev, Zahari |
|
2009
|
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
|
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
|
On some qualitatively adequate discrete space-time models of epidemic propagation. Zbl 1323.92203
Faragó, István; Horváth, Róbert |
|
2016
|
The convergence of diagonally implicit Runge-Kutta methods combined with Richardson extrapolation. Zbl 1319.65061
Faragó, István; Havasi, Ágnes; Zlatev, Zahari |
|
2013
|
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey |
|
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 |
|
2019
|
Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547
Axelsson, O.; Faragó, I.; Karátson, J. |
|
2002
|
Richardson extrapolation. Practical aspects and applications. Zbl 1478.65003
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
|
Finite element method for solving nonlinear parabolic equations. Zbl 0716.65091
Farago, István |
|
1991
|
Qualitative properties of some discrete models of disease propagation. Zbl 1391.37060
Faragó, István; Horváth, Róbert |
|
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
|
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
|
Space dependent models for studying the spread of some diseases. Zbl 1448.92345
Takács, Bálint; Horváth, Róbert; Faragó, István |
|
2020
|
Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions. Zbl 0874.65068
Faragó, I. |
|
1996
|
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 |
|
2020
|
On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154
Faragó, István; Korotov, Sergey; Szabó, Tamás |
|
2013
|
Convergence and stability constant of the theta-method. Zbl 1340.65152
Faragó, István |
|
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 |
|
2014
|
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
|
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey |
|
2017
|
Note on the convergence of the implicit Euler method. Zbl 1352.65203
Faragó, István |
|
2013
|
Reliable numerical modelling of malaria propagation. Zbl 1483.65122
Faragó, István; Mincsovics, Miklós Emil; Mosleh, Rahele |
|
2018
|
Nonnegativity of the difference schemes. Zbl 0849.15002
Faragó, István |
|
1995
|
Computational complexity of weighted splitting schemes on parallel computers. Zbl 1115.68086
Csomós, P.; Dimov, I.; Faragó, I.; Havasi, Á.; Ostromsky, Tz. |
|
2007
|
On the order of operator splitting methods for time-dependent linear systems of differential equations. Zbl 1243.65077
Farago, I.; Havasi, A.; Horvath, R. |
|
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
|
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
|
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 modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124
Farago, Istvan; Korotov, Sergey; Szabo, Tamas |
|
2011
|
Nonnegativity of the numerical solution of parabolic problems. Zbl 0744.65064
Faragó, I.; Komáromi, N. |
|
1991
|
Discrete maximum principle for finite element parabolic models in higher dimensions. Zbl 1214.65052
Faragó, István |
|
2010
|
Finite element method for solving nonlinear parabolic systems. Zbl 0716.65092
Farago, I. |
|
1991
|
Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089
Faragó, István; Karátson, János |
|
2008
|
Testing weighted splitting schemes on a one-column transport-chemistry model. Zbl 1151.65343
Botchev, Mike; Faragó, István; Havasi, Ágnes |
|
2004
|
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
|
Finite element method for solving linear parabolic problems. Zbl 0606.65077
Faragó, István |
|
1985
|
The mathematical background of operator splitting and the effect of non-commutativity. Zbl 1031.65094
Faragó, I.; Havasi, Á. |
|
2001
|
On maximum norm contractivity of second order damped single step methods. Zbl 1168.65374
Faragó, István; Kovács, Mihály |
|
2003
|
Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices. Zbl 0926.65032
Faragó, I.; Tarvainen, P. |
|
1997
|
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
|
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 1540.65371
Faragó, István; Karátson, János; Korotov, Sergey |
|
2017
|
Editorial: Efficient algorithms for large scale scientific computations: introduction. Zbl 1368.00053
|
|
2014
|
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 nonlinear parabolic operators II: The case of PDE systems. Zbl 1516.35141
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey |
|
2018
|
The convergence of explicit Runge-Kutta methods combined with Richardson extrapolation. Zbl 1313.65184
Faragó, István; Havasi, Ágnes; Zlatev, Zahari |
|
2012
|
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 |
|
2015
|
On the consistency order of Runge-Kutta methods combined with active Richardson extrapolation. Zbl 1492.65200
Bayleyegn, Teshome; Faragó, István; Havasi, Ágnes |
|
2022
|
On some stability properties of the Richardson extrapolation applied together with the \(\theta \)-method. Zbl 1280.65071
Zlatev, Zahari; Faragó, István; Havasi, Ágnes |
|
2010
|
Matrix and discrete maximum principles. Zbl 1280.65101
Faragó, István |
|
2010
|
Numerical solution of the Maxwell equations in time-varying media using Magnus expansion. Zbl 1243.78049
Faragó, István; Havasi, Ágnes; Horváth, Robert |
|
2012
|
Efficient implementation of advanced Richardson extrapolation in an atmospheric chemical scheme. Zbl 1481.92192
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes |
|
2022
|
On the Richardson extrapolation as applied to the sequential splitting method. Zbl 1229.65010
Faragó, István; Havasi, Ágnes |
|
2008
|
Qualitative analysis of the Crank-Nicolson method for the heat conduction equation. Zbl 1233.65053
Faragó, István |
|
2009
|
An \(A\)-stable three-level method for the Galerkin solution of quasilinear parabolic problems. Zbl 0705.65068
Faragó, I.; Galántai, A. |
|
1988
|
Operator splittings and numerical methods. Zbl 1142.65378
Faragó, I. |
|
2006
|
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 |
|
2019
|
Qualitative analysis of matrix splitting methods. Zbl 0983.65029
Faragó, I.; Tarvainen, P. |
|
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
|
On nonlinear Schrödinger equations on the hyperbolic space. Zbl 1448.35125
Cencelj, Matija; Faragó, István; Horváth, Róbert; Repovš, Dušan D. |
|
2020
|
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
|
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
|
Finite element method for solving elliptic problems. Zbl 0521.65073
Farago, Istvan |
|
1982
|
Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058
Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka |
|
1998
|
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
|
Positively invariant semi-implicit discrete model for malaria propagation. Zbl 1513.92069
Faragó, István; Mosleh, Rahele |
|
2020
|
Mathematical problems in meteorological modelling. Contributions based on the presentations at the workshop, Budapest, Hungary, May 2014. Zbl 1353.86002
|
|
2016
|
Stability concepts and their applications. Zbl 1368.65073
Fekete, Imre; Faragó, István |
|
2014
|
Qualitative properties of the finite difference solution of a space-time epidemic propagation model. Zbl 1389.35030
Faragó, István; Horváth, Róbert |
|
2016
|
Qualitatively adequate numerical modelling of spatial SIRS-type disease propagation. Zbl 1399.39033
Faragó, István; Horváth, Róbert |
|
2016
|
On the consistency order of Runge-Kutta methods combined with active Richardson extrapolation. Zbl 1492.65200
Bayleyegn, Teshome; Faragó, István; Havasi, Ágnes |
|
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 |
|
2022
|
Space dependent models for studying the spread of some diseases. Zbl 1448.92345
Takács, Bálint; Horváth, Róbert; Faragó, István |
|
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 |
|
2020
|
On nonlinear Schrödinger equations on the hyperbolic space. Zbl 1448.35125
Cencelj, Matija; Faragó, István; Horváth, Róbert; Repovš, Dušan D. |
|
2020
|
Positively invariant semi-implicit discrete model for malaria propagation. Zbl 1513.92069
Faragó, István; Mosleh, Rahele |
|
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 |
|
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 |
|
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 |
|
2019
|
On the zero-stability of multistep methods on smooth nonuniform grids. Zbl 1406.65046
Söderlind, Gustaf; Fekete, Imre; Faragó, István |
|
2018
|
Richardson extrapolation. Practical aspects and applications. Zbl 1478.65003
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Havasi, Ágnes |
|
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 1483.65122
Faragó, István; Mincsovics, Miklós Emil; Mosleh, Rahele |
|
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 |
|
2018
|
Shooting-projection method for two-point boundary value problems. Zbl 1373.34032
Filipov, Stefan M.; Gospodinov, Ivan D.; Faragó, István |
|
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 the Richardson extrapolation combined with some implicit Runge-Kutta methods. Zbl 1348.65114
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes |
|
2017
|
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey |
|
2017
|
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 1540.65371
Faragó, István; Karátson, János; Korotov, Sergey |
|
2017
|
On some qualitatively adequate discrete space-time models of epidemic propagation. Zbl 1323.92203
Faragó, István; Horváth, Róbert |
|
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. |
|
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
|
Mathematical problems in meteorological modelling. Contributions based on the presentations at the workshop, Budapest, Hungary, May 2014. Zbl 1353.86002
|
|
2016
|
Qualitative properties of the finite difference solution of a space-time epidemic propagation model. Zbl 1389.35030
Faragó, István; Horváth, Róbert |
|
2016
|
Qualitatively adequate numerical modelling of spatial SIRS-type disease propagation. Zbl 1399.39033
Faragó, István; Horváth, Róbert |
|
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 |
|
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 |
|
2014
|
Editorial: Efficient algorithms for large scale scientific computations: introduction. Zbl 1368.00053
|
|
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
|
On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154
Faragó, István; Korotov, Sergey; Szabó, Tamás |
|
2013
|
Convergence and stability constant of the theta-method. Zbl 1340.65152
Faragó, István |
|
2013
|
Note on the convergence of the implicit Euler method. Zbl 1352.65203
Faragó, István |
|
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
|
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
|
The convergence of explicit Runge-Kutta methods combined with Richardson extrapolation. Zbl 1313.65184
Faragó, István; Havasi, Ágnes; Zlatev, Zahari |
|
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
|
On the order of operator splitting methods for time-dependent linear systems of differential equations. Zbl 1243.65077
Farago, I.; Havasi, A.; Horvath, R. |
|
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 |
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2011
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On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124
Farago, Istvan; Korotov, Sergey; Szabo, Tamas |
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2011
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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 |
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2011
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Stability of the Richardson extrapolation applied together with the \(\theta \)-method. Zbl 1201.65134
Zlatev, Zahari; Faragó, István; Havasi, Ágnes |
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2010
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Efficient implementation of stable Richardson extrapolation algorithms. Zbl 1205.65014
Faragó, István; Havasi, Ágnes; Zlatev, Zahari |
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2010
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Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey |
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2010
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Discrete maximum principle for finite element parabolic models in higher dimensions. Zbl 1214.65052
Faragó, István |
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2010
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On some stability properties of the Richardson extrapolation applied together with the \(\theta \)-method. Zbl 1280.65071
Zlatev, Zahari; Faragó, István; Havasi, Ágnes |
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2010
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Matrix and discrete maximum principles. Zbl 1280.65101
Faragó, István |
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2010
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Application of operator splitting to the Maxwell equations including a source term. Zbl 1159.78346
Botchev, M. A.; Faragó, I.; Horváth, R. |
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2009
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Continuous and discrete parabolic operators and their qualitative properties. Zbl 1176.65087
Faragó, István; Horváth, Róbert |
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2009
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Richardson-extrapolated sequential splitting and its application. Zbl 1160.65022
Faragó, István; Havasi, Ágnes; Zlatev, Zahari |
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2009
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Qualitative analysis of the Crank-Nicolson method for the heat conduction equation. Zbl 1233.65053
Faragó, István |
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2009
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Error analysis of the numerical solution of split differential equations. Zbl 1187.65084
Csomós, P.; Faragó, I. |
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2008
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Additive and iterative operator splitting methods and their numerical investigation. Zbl 1142.65374
Faragó, István; Gnandt, Boglárka; Havasi, Ágnes |
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2008
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A modified iterated operator splitting method. Zbl 1176.65064
Faragó, István |
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2008
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Qualitative properties of monotone linear parabolic operators. Zbl 1207.35081
Faragó, I.; Horváth, R. |
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2008
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On the additive splitting procedures and their computer realization. Zbl 1176.65065
Faragó, István; Thomsen, Per Grove; Zlatev, Zahari |
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2008
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Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089
Faragó, István; Karátson, János |
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2008
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On the Richardson extrapolation as applied to the sequential splitting method. Zbl 1229.65010
Faragó, István; Havasi, Ágnes |
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2008
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A review of reliable numerical models for three-dimensional linear parabolic problems. Zbl 1194.80119
Faragó, I.; Horváth, R. |
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2007
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Consistency analysis of operator splitting methods for \(C_{0}\)-semigroups expression. Zbl 1125.47033
Faragó, István; Havasi, Ágnes |
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2007
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Computational complexity of weighted splitting schemes on parallel computers. Zbl 1115.68086
Csomós, P.; Dimov, I.; Faragó, I.; Havasi, Á.; Ostromsky, Tz. |
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2007
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Discrete maximum principle and adequate discretizations of linear parabolic problems. Zbl 1130.65086
Faragó, István; Horváth, Róbert |
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2006
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Operator splittings and numerical methods. Zbl 1142.65378
Faragó, I. |
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2006
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Weighted sequential splittings and their analysis. Zbl 1086.65053
Csomós, P.; Faragó, I.; Havasi, Á. |
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2005
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Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094
Faragó, I.; Horváth, R.; Korotov, S. |
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2005
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Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. Zbl 1118.65122
Karátson, J.; Faragó, I. |
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2005
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Splitting methods and their application to the abstract Cauchy problems. Zbl 1118.65333
Faragó, I. |
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2005
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On the convergence and local splitting error of different splitting schemes. Zbl 1189.76427
Faragó, István; Havasi, Ágnes |
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2005
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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. |
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2005
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Operator splitting and commutativity analysis in the Danish Eulerian model. Zbl 1063.92051
Dimov, I.; Faragó, I.; Havasi, Á.; Zlatev, Z. |
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2004
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Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064
Faragó, István; Horváth, Róbert; Korotov, Sergey |
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2004
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Testing weighted splitting schemes on a one-column transport-chemistry model. Zbl 1151.65343
Botchev, Mike; Faragó, István; Havasi, Ágnes |
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2004
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Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309
Karátson, János; Faragó, István |
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2003
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On maximum norm contractivity of second order damped single step methods. Zbl 1168.65374
Faragó, István; Kovács, Mihály |
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2003
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Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117
Faragó, I.; Karátson, J. |
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2002
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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. |
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2002
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Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547
Axelsson, O.; Faragó, I.; Karátson, J. |
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2002
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The gradient-finite element method for elliptic problems. Zbl 0987.65121
Faragó, I.; Karátson, J. |
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2001
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On the nonnegativity conservation of finite element solutions of parabolic problems. Zbl 0994.65102
Faragó, István; Horváth, Róbert |
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2001
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The mathematical background of operator splitting and the effect of non-commutativity. Zbl 1031.65094
Faragó, I.; Havasi, Á. |
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2001
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Qualitative analysis of matrix splitting methods. Zbl 0983.65029
Faragó, I.; Tarvainen, P. |
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2001
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\(L\)-commutativity of the operators in splitting methods for air pollution models. Zbl 1006.68158
Dimov, Ivan; Faragó, István; Havasi, Ágnes; Zlatev, Zahari |
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2001
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Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058
Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka |
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1998
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Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices. Zbl 0926.65032
Faragó, I.; Tarvainen, P. |
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1997
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Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions. Zbl 0874.65068
Faragó, I. |
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1996
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Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution. Zbl 0821.65065
Faragó, I.; Pfeil, T. |
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1995
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Nonnegativity of the difference schemes. Zbl 0849.15002
Faragó, István |
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1995
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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 |
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1993
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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 |
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1993
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Finite element method for solving nonlinear parabolic equations. Zbl 0716.65091
Farago, István |
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1991
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Nonnegativity of the numerical solution of parabolic problems. Zbl 0744.65064
Faragó, I.; Komáromi, N. |
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1991
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Finite element method for solving nonlinear parabolic systems. Zbl 0716.65092
Farago, I. |
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1991
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An \(A\)-stable three-level method for the Galerkin solution of quasilinear parabolic problems. Zbl 0705.65068
Faragó, I.; Galántai, A. |
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1988
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Finite element method for solving linear parabolic problems. Zbl 0606.65077
Faragó, István |
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1985
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Finite element method for solving elliptic problems. Zbl 0521.65073
Farago, Istvan |
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1982
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