Proper Weak Regular Splitting for M-Matrices. - István Faragó (NAA, 2000)

The Mathemathical Background of Operator Splitting and the Effect of Non-commutativity. - István Faragó; Ágnes Havasi (LSSC, 2001)

Sobolev Space Preconditioning for Mixed Nonlinear Elliptic Boundary Value Problems. - János Karátson; István Faragó (LSSC, 2001)

Sobolev space preconditioning for Newton's method using domain decomposition. - Owe Axelsson; István Faragó; János Karátson (Numer. Linear Algebra Appl., 2002)

Testing Weighted Splitting Schemes on a One-Column Transport-Chemistry Model. - Mike A. Botchev; István Faragó; Ágnes Havasi (LSSC, 2003)

Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space. - János Karátson; István Faragó (SIAM J. Numer. Anal., 2003)

Splitting Methods and Their Application to the Abstract Cauchy Problems. - István Faragó (NAA, 2004)

Operator splitting and commutativity analysis in the Danish Eulerian Model. - Ivan T. Dimov; István Faragó; Ágnes Havasi; Zahari Zlatev (Math. Comput. Simul., 2004)

Operator Splittings and Numerical Methods. - István Faragó (LSSC, 2005)

New Operator Splitting Methods and Their Analysis. - István Faragó (Numerical Methods and Applications, 2006)

Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems. - István Faragó; Róbert Horváth (SIAM J. Sci. Comput., 2006)

Parallelization of Advection-Diffusion-Chemistry Modules. - István Faragó; Krassimir Georgiev; Zahari Zlatev (LSSC, 2007)

On the Richardson Extrapolation as Applied to the Sequential Splitting Method. - István Faragó; Ágnes Havasi (LSSC, 2007)

Iterative operator-splitting methods for linear problems. - István Faragó; Jürgen Geiser (Int. J. Comput. Sci. Eng., 2007)

Computational complexity of weighted splitting schemes on parallel computers. - Petra Csomós; Ivan Dimov 001; István Faragó; Ágnes Havasi; Tzvetan Ostromsky (Int. J. Parallel Emergent Distributed Syst., 2007)

Qualitative Analysis of the Crank-Nicolson Method for the Heat Conduction Equation. - István Faragó (NAA, 2008)

Relationship between vanishing splitting errors and pairwise commutativity. - István Faragó; Ágnes Havasi (Appl. Math. Lett., 2008)

Additive and iterative operator splitting methods and their numerical investigation. - István Faragó; Boglárka Gnandt; Ágnes Havasi (Comput. Math. Appl., 2008)

Special issue on advanced numerical algorithms for large-scale computations: Introduction. - István Faragó; Ágnes Havasi; Zahari Zlatev (Comput. Math. Appl., 2008)

Error analysis of the numerical solution of split differential equations. - Petra Csomós; István Faragó (Math. Comput. Model., 2008)

Matrix and Discrete Maximum Principles. - István Faragó (LSSC, 2009)

On Some Stability Properties of the Richardson Extrapolation Applied Together with the theta-Method. - Zahari Zlatev; István Faragó; Ágnes Havasi (LSSC, 2009)

Richardson Extrapolated Numerical Methods for Treatment of One-Dimensional Advection Equations. - Zahari Zlatev; Ivan Dimov 001; István Faragó; Krassimir Georgiev; Ágnes Havasi; Tzvetan Ostromsky (NMA, 2010)

Simulation of the transient behavior of fuel cells by using operator splitting techniques for real-time applications. - Ákos Kriston; György Inzelt; István Faragó; Tamás Szabó (Comput. Chem. Eng., 2010)

Efficient implementation of stable Richardson Extrapolation algorithms. - István Faragó; Ágnes Havasi; Zahari Zlatev (Comput. Math. Appl., 2010)

Special Issue on Advanced Computational Algorithms: Introduction. - István Faragó; Ágnes Havasi; Svetozar Margenov; Zahari Zlatev (J. Comput. Appl. Math., 2010)

Stability of the Richardson Extrapolation applied together with the θ-method. - Zahari Zlatev; István Faragó; Ágnes Havasi (J. Comput. Appl. Math., 2010)

Discrete maximum principle for finite element parabolic models in higher dimensions. - István Faragó (Math. Comput. Simul., 2010)

Note on the Convergence of the Implicit Euler Method. - István Faragó (NAA, 2012)

A stability approach for reaction-diffusion problems. - Imre Fekete; István Faragó (SACI, 2013)

On continuous and discrete maximum principles for elliptic problems with the third boundary condition. - István Faragó; Sergey Korotov; Tamás Szabó (Appl. Math. Comput., 2013)

Efficient numerical methods for scientific applications: Introduction. - István Faragó; Krassimir Georgiev; Ágnes Havasi; Zahari Zlatev (Comput. Math. Appl., 2013)

The convergence of diagonally implicit Runge-Kutta methods combined with Richardson extrapolation. - István Faragó; Ágnes Havasi; Zahari Zlatev (Comput. Math. Appl., 2013)

Operator Semigroups for Convergence Analysis. - Petra Csomós; István Faragó; Imre Fekete (FDM, 2014)

Efficient algorithms for large scale scientific computations: Introduction. - István Faragó; Krassimir Georgiev; Ágnes Havasi; Zahari Zlatev (Comput. Math. Appl., 2014)

Stability concepts and their applications. - Imre Fekete; István Faragó (Comput. Math. Appl., 2014)

Application of Richardson extrapolation for multi-dimensional advection equations. - Zahari Zlatev; Ivan Dimov 001; István Faragó; Krassimir Georgiev; Ágnes Havasi; Tzvetan Ostromsky (Comput. Math. Appl., 2014)

Numerical stability for nonlinear evolution equations. - Petra Csomós; István Faragó; Imre Fekete (Comput. Math. Appl., 2015)

Convergence of Alternant Theta-Method with Applications. - István Faragó; Zénó Farkas (NAA, 2016)

On some qualitatively adequate discrete space-time models of epidemic propagation. - István Faragó; Róbert Horváth (J. Comput. Appl. Math., 2016)

Stability of patterns and of constant steady states for a cross-diffusion system. - Gheorghe Sebestyen-Pal; István Faragó; Róbert Horváth; Robert Kersner; Mihály Klincsik (J. Comput. Appl. Math., 2016)

Shooting-projection method for two-point boundary value problems. - Stefan M. Filipov; Ivan D. Gospodinov; István Faragó (Appl. Math. Lett., 2017)

Improvement of accuracy of multi-scale models of Li-ion batteries by applying operator splitting techniques. - Zénó Farkas; István Faragó; Á. Kriston; Andreas Pfrang (J. Comput. Appl. Math., 2017)

Stability of the Richardson Extrapolation combined with some implicit Runge-Kutta methods. - Zahari Zlatev; Ivan Dimov 001; István Faragó; Krassimir Georgiev; Ágnes Havasi (J. Comput. Appl. Math., 2017)

Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. - István Faragó; János Karátson; Sergey Korotov (Math. Comput. Simul., 2017)

Stability Properties of Repeated Richardson Extrapolation Applied Together with Some Implicit Runge-Kutta Methods. - Zahari Zlatev; Ivan Dimov 001; István Faragó; Krassimir Georgiev; Ágnes Havasi (FDM, 2018)

Absolute Stability and Implementation of the Two-Times Repeated Richardson Extrapolation Together with Explicit Runge-Kutta Methods. - Zahari Zlatev; Ivan Dimov 001; István Faragó; Krassimir Georgiev; Ágnes Havasi (FDM, 2018)

Qualitative properties of some discrete models of disease propagation. - István Faragó; Róbert Horváth (J. Comput. Appl. Math., 2018)

Numerical Methods for Advanced Scientific Models: Editorial Introduction. - Zahari Zlatev; Pasqua D'Ambra; István Faragó; Imre Fekete (J. Comput. Appl. Math., 2018)

Two Epidemic Propagation Models and Their Properties. - István Faragó; Fanni Dorner (HPC, 2019)

Studying the Influence of Climate Changes on European Ozone Levels. - Zahari Zlatev; Ivan Dimov 001; István Faragó; Krassimir Georgiev; Ágnes Havasi (LSSC, 2019)

Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method. - Stefan M. Filipov; Ivan D. Gospodinov; István Faragó (J. Comput. Appl. Math., 2019)

Qualitative properties of discrete nonlinear parabolic operators. - Róbert Horváth; István Faragó; János Karátson (Numerische Mathematik, 2019)

Space dependent models for studying the spread of some diseases. - Bálint Takács; Róbert Horváth; István Faragó (Comput. Math. Appl., 2020)

Explicit Runge-Kutta Methods Combined with Advanced Versions of the Richardson Extrapolation. - Zahari Zlatev; Ivan Dimov 001; István Faragó; Krassimir Georgiev; Ágnes Havasi (Comput. Methods Appl. Math., 2020)

The linearization methods as a basis to derive the relaxation and the shooting methods. - István Faragó; Stefan M. Filipov (CoRR, 2020)

Advanced numerical methods for complex scientific and engineering problems: Editorial introduction. - Zahari Zlatev; Pasqua D'Ambra; István Faragó; Vladimir Shaydurov; Lubin G. Vulkov (J. Comput. Appl. Math., 2020)

On the Consistency Order of Runge-Kutta Methods Combined with Active Richardson Extrapolation. - Teshome Bayleyegn; István Faragó; Ágnes Havasi (LSSC, 2021)

Running an Atmospheric Chemistry Scheme from a Large Air Pollution Model by Using Advanced Versions of the Richardson Extrapolation. - Zahari Zlatev; Ivan Dimov 001; István Faragó; Krassimir Georgiev; Ágnes Havasi (LSSC, 2021)

Operator splitting and error analysis in malaria modeling. - Parna Mandal; István Faragó (Appl. Math. Comput., 2021)

On the Consistency and Convergence of Repeated Richardson Extrapolation. - Teshome Bayleyegn; István Faragó; Ágnes Havasi (NMA, 2022)

Mathematical Modelling of Nonlinear Heat Conduction with Relaxing Boundary Conditions. - Stefan M. Filipov; István Faragó; Ana Avdzhieva (NMA, 2022)

Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions. - Bálint Takács; István Faragó; Róbert Horváth; Dusan Repovs (Comput. Methods Appl. Math., 2022)

A Nonstandard Finite Difference Method for a General Epidemic Model. - István Faragó; Gabriella Svantnerné Sebestyén; Bálint M. Takács (LSSC, 2023)

Some qualitative properties of the discrete models for malaria propagation. - István Faragó; Rahele Mosleh (Appl. Math. Comput., 2023)

On the Consistency and convergence of Classical Richardson extrapolation as Applied to Explicit One-Step Methods. - Teshome Bayleyegn; István Faragó; Ágnes Havasi (Math. Model. Anal., 2023)

A Coupled PDE-ODE Model for Nonlinear Transient Heat Transfer with Convection Heating at the Boundary: Numerical Solution by Implicit Time Discretization and Sequential Decoupling. - Stefan M. Filipov; Jordan Hristov; Ana Avdzhieva; István Faragó (Axioms, 2023)

High-order reliable numerical methods for epidemic models with non-constant recruitment rate. - Bálint M. Takács; Gabriella Svantnerné Sebestyén; István Faragó (CoRR, 2024)

On the convergence of multiple Richardson extrapolation combined with explicit Runge-Kutta methods. - Teshome Bayleyegn; István Faragó; Ágnes Havasi (Period. Math. Hung., 2024)